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Papers by Pusparaj Dash

Research paper thumbnail of Stability analysis of a rotating asymmetric sandwich beam tapered along width and thickness subjected to pulsating axial load

Materials Today: Proceedings

Research paper thumbnail of Static Stability Investigation of an Asymmetric Sandwich Beam in Temperature Environment

Advances in Mechanical Engineering, 2020

Investigation of static stability is done for an asymmetric sandwich beam resting on sinusoidal v... more Investigation of static stability is done for an asymmetric sandwich beam resting on sinusoidal varying Pasternak foundation under the effect of alive axial load and in steady-state one-dimensional temperature gradient. The sequence of methods followed to achieve it are Hamilton’s principle and generalized Galerkin’s method. The consequences occurred on static buckling loads due to various parameters for pinned–pinned, fixed–free and clamped–pinned boundary conditions are observed.

Research paper thumbnail of Parametric stability of Timoshenko taper sandwich beam on Pasternak foundation

Materials Today: Proceedings

Research paper thumbnail of Study of Static and Dynamic Stability of an Exponentially Tapered Circular Revolving Beam Exposed to a Variable Temperature Grade under Several Boundary Arrangements

The Volume 24, No 3, September 2019, 2019

This research work is concerned with the static and dynamic stability study of an exponentially t... more This research work is concerned with the static and dynamic stability study of an exponentially tapered revolving beam having a circular cross-section exposed to an axial live excitation and a variable temperature grade. The stability is analysed for clamped-clamped, clamped-pinned, and pinned-pinned end arrangements. Hamilton’s principle is used to develop the equation of motion and accompanying end conditions. Then, the non-dimensional form of the equation of motion and the end conditions are found. Galerkin’s process is used to find a number of Hill’s equations from the non-dimensional equations. The parametric instability regions are acquired by means of the Saito-Otomi conditions. The consequences of the variation parameter, revolution speed, temperature grade, and hub radius on the instability regions are examined for both static and dynamic load case and represented by a number of plots. The legitimacy of the results is tested by plotting different graphs between displacement...

Research paper thumbnail of биохимические процессы в современных осадках каспийского моря

Материалы XVIII Международной научной конференции (Школы) по морской геологии, 2009

Research paper thumbnail of Static stability analysis of tapered Timoshenko sandwich beam resting on Pasternak foundation with thermal gradient

Materials Today: Proceedings

Research paper thumbnail of Static stability investigation of a tapered asymmetric sandwich beam supported on variable Pasternak foundation

IOP Conference Series: Materials Science and Engineering, 2021

The investigation to analyse a sandwich beam’s static stability with asymmetric configuration, ta... more The investigation to analyse a sandwich beam’s static stability with asymmetric configuration, tapered along the thickness, placing on a Pasternak foundation having linearly varying stiffness and influenced by an alive axial load is executed for several boundary conditions employing computational method. Use of Hamilton’s principle results in the equations of motion and related boundary conditions. Hill’s equations are achieved from the non-dimensionalized equations of motion with the use of Galerkin’s method. Then, the effects of various parameters on the static stability for different boundary conditions are obtained and are showcased in a sequence of graphs using the appropriate MATLAB program.

Research paper thumbnail of Study of cutting force and tool wear during turning of aluminium with WC, PCD and HFCVD coated MCD tools

Manufacturing Review, 2020

Enormous developmental work has been made in synthesis of metastable diamond by hot filament chem... more Enormous developmental work has been made in synthesis of metastable diamond by hot filament chemical vapor deposition (HFCVD) method. In this paper, micro-crystalline diamond (MCD) was deposited on WC–6 wt.% Co cutting tool inserts by HFCVD technique. The MCD coated tool was characterized by the scanning electron microscope (SEM), X-ray diffraction (XRD) and micro Raman spectroscopy (μ-RS). A comparison was made among the MCD tool, uncoated tungsten carbide (WC) tool and polycrystalline diamond (PCD) tool during the dry turning of rolled aluminum. The various major tests were conducted such as surface roughness, cutting force and tool wear, which were taken into consideration to establish a proper comparison among the advanced cutting tools. Surface roughness was measured during machining by Talysurf. The tool wear was studied by SEM after machining. The cutting forces were measured by Kistler 3D-dynamometer during the machining process. The test results indicate that, the CVD coat...

Research paper thumbnail of Stability of a Tapered, Pretwisted, and Rotating Sandwich Beam under Temperature Gradient

Journal of Aerospace Engineering, 2020

AbstractIn this work the parametric instability regions of an exponentially tapered, pretwisted, ... more AbstractIn this work the parametric instability regions of an exponentially tapered, pretwisted, and rotating symmetric sandwich beam under a temperature gradient, subjected to a periodic axial loa...

Research paper thumbnail of Stability analysis of an exponentially tapered, pre-twisted asymmetric sandwich beam on a variable Pasternak foundation with viscoelastic supports under temperature gradient

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020

The purpose of this work is to study the stability of an exponentially tapered, pre-twisted and a... more The purpose of this work is to study the stability of an exponentially tapered, pre-twisted and asymmetric sandwich beam on a variable Pasternak foundation, propped at ends. Viscoelastic translational and rotational springs have been employed to include the resistance offered by pinned-pinned end supports. The system is subjected to pulsating axial loads, and the elastic layers are subjected to a temperature gradient due to steady heat flow. A set of equations of motion was obtained by using Hamilton's principle, and instability regions were plotted using formulae developed by Saito and Otomi. The effects of pre-twist angle, temperature gradient, taper parameter, shear modulus of the core, core loss factor, stiffness of the Pasternak foundation and rotational spring stiffness on static stability and regions of parametric instability were studied. Increase in the value of pre-twist angle was observed to be detrimental to both dynamic and static stability of the system. It was found that the dynamic stability of the system also degraded with an increase in the taper parameter.

Research paper thumbnail of Dynamic stability of a viscoelastically supported sandwich beam

Structural Engineering and Mechanics, 2005

The parametric dynamic stability of an asymmetric sandwich beam with viscoelastic core on viscoel... more The parametric dynamic stability of an asymmetric sandwich beam with viscoelastic core on viscoelastic supports at the ends and subjected to an axial pulsating load is investigated. A set of Hill`s equations are obtained from the non-dimensional equations of motion by the application of the general Galerkin method. The zones of parametric instability are obtained using Saito-Otomi conditions. The effects of shear parameter, support characteristics, various geometric parameters and excitation force on the zones of instability are investigated.

Research paper thumbnail of Static and dynamic stability analysis of an asymmetric sandwich beam resting on a variable pasternak foundation subjected to thermal gradient

Meccanica, 2015

The purpose of the article is to analyze the static and dynamic stability of an asymmetric sandwi... more The purpose of the article is to analyze the static and dynamic stability of an asymmetric sandwich beam with viscoelastic core lying on a variable Pasternak foundation under the action of a pulsating axial load subjected to one-dimensional thermal gradient under three different boundary conditions by the computational method. A set of Hill's equation has been obtained by the application of Hamilton's principle along with the generalized Galerkin's method. The effects of thermal gradient, elastic foundation variation parameter, thickness ratio of two elastic layers, the ratio of modulus of the shear layer of Pasternak foundation to the young's modulus of elastic layer, the ratio of the length of the beam to the thickness of the elastic layer, the ratio of in phase shear modulus of the viscoelastic core to the young's modulus of the elastic layer, the ratio of thickness of Pasternak foundation to the length of the beam, coreloss factor on the non-dimensional static buckling loads and on the regions of parametric instability are studied. Keywords Pasternak foundation Á Thermal gradient Á Static and dynamic stability Á Viscoelastic core Á Elastic foundation parameter Á Coreloss factor Á Modulus ratio * G 2 (1 ? jg), complex shear modulus of core G 2 /E i (i = 1, 3) The ratio of in phase shear modulus of the viscoelastic core to the young's modulus of the elastic layer g* g (1 ? jg), complex shear parameter g Shear parameter 2h i (i = 1, 2, 3) Thickness of the ith layer, i = 1 for top layer

Research paper thumbnail of Analysis of Static Instability of an Asymmetric, Rotating Sand-Wich Beam

Advances in Acoustics and Vibration, 2012

The static stability of an asymmetric, rotating sandwich beam subjected to an axial pulsating loa... more The static stability of an asymmetric, rotating sandwich beam subjected to an axial pulsating load has been investigated for pinned-pinned and fixed-free boundary conditions. The equations of motion and associated boundary conditions have been obtained by using the Hamilton's energy principle. Then, these equations of motion and the associated boundary conditions have been nondimensionalised. A set of Hill's equations are obtained from the nondimensional equations of motion by the application of the general Galerkin method. The static buckling loads have been obtained from Hill's equations. The influences of geometric parameters and rotation parameters on the nondimensional static buckling loads have been investigated.

Research paper thumbnail of Simulation and Experimental Studies for Lateral Extrusion of Square and Pentagonal Head from Round Shaft

International Journal of Research in Engineering and Technology, 2013

Recently, in different industries a surging trend has been observed in the demand of integral par... more Recently, in different industries a surging trend has been observed in the demand of integral parts instead of assembled parts due to their increased strength. The components from lateral extrusion process are suitable for this purpose. Variations in load and flow direction of metal are greatly affected by the extruded geometry in this process. Keeping in view the above factors as an objective, an experimental die-punch setup for lateral extrusion is designed and the process is simulated using finite element method both for estimation of load requirement and metal flow patterns. Experimental studies have been carried out to find the extrusion load and the direction of metal flow at different die geometry, taking lead as the billet material. The predictions both in extrusion load and the deformed configuration are in good agreement with the experiment qualitatively under different geometry conditions. Progressive flow of metal at different die geometry has also been studied.

Research paper thumbnail of Static stability of a viscoelastically supported asymmetric sandwich beam with thermal gradient

International Journal of Advanced Structural Engineering (IJASE), 2014

The static stability of an asymmetric sandwich beam with viscoelastic core on viscoelastic suppor... more The static stability of an asymmetric sandwich beam with viscoelastic core on viscoelastic supports at the ends and subjected to an axial pulsating load and a steady, one-dimensional temperature gradient is investigated by computational method. The equations of motion and associated boundary conditions are obtained using the Hamilton's energy principle. Then, these equations of motion and the associated boundary conditions are nondimensionalised. A set of Hill's equations is obtained from the non-dimensional equations of motion by the application of the general Galerkin method. The static buckling loads are obtained from the Hill's equations. The effects of shear parameter, geometric parameters, core loss factors, and thermal gradient on the non-dimensional static buckling loads zones have been investigated.

Research paper thumbnail of Theoretical Analysis of Free Vibration of a Sandwich Beam on Pasternak Foundation with Temperature Gradient

Research paper thumbnail of Analysis of parametric instability of a spring-attached pre-twisted beam with viscoelastic end support

Noise & Vibration Worldwide, 2021

This study investigated the parametric instability of a single elastic beam with spring attachmen... more This study investigated the parametric instability of a single elastic beam with spring attachment on the top and viscoelastic springs as end supports. The beam considered is pre-twisted with a pin connection at both ends that supports the beam. The analytical solution of the problem is expressed in the matrix form achieved from the implementation of Hamilton’s principle and General Galerkin’s method, from which both static and dynamic stability of the beam can be investigated. The results of various influential dimensionless parameters such as stiffness, mass, length, position of the spring attachment, and stiffness of the viscoelastic springs on both the stabilities are studied. This analysis concluded that the spring attachment on the system leads to substantial contribution in improving the stability. The viscoelastic springs also contribute in upsurging the beam’s stability. Three different profiles of the beam have been considered, and for each profile, three different types o...

Research paper thumbnail of Stability Study of a Sandwich Beam with Asymmetric and Non-uniform Configuration Supported Viscoelastically Under Variable Temperature Grade

Journal of Vibration Engineering & Technologies, 2019

Background The end conditions, temperature gradient and geometric parameters affect the system st... more Background The end conditions, temperature gradient and geometric parameters affect the system stability. Purpose This research work concerns with the parametric instability study of a non-uniform asymmetric sandwich beam supported viscoelastically at the ends acted upon by a harmonic axial load and a variable temperature grade which is more appropriate along with a constant temperature grade. Methods Hamilton's energy principle is used to develop the equations of motion and associated end conditions. Then the non-dimensional form of the equation of motion is obtained. Galerkin's process is used to find a set of Hill's equations. The parametric instability regions are acquired by means of Saito-Otomi conditions. Results The consequences of taper parameter, uniform as well as variable temperature grade, shear parameter, spring parameters and spring loss factors on the instability regions are examined and represented by a number of plots. Conclusion The results reveal that rise in the values of thermal gradient for bottom layer and shear parameter, make the beam more stable against harmonic load. Increase in the values of taper parameters and thermal gradient for top layer reduce the flexural rigidity of the system, hence worsen the system stability. The dynamic instability of the system reduces with increase in the values of spring loss factors and spring parameters.

Research paper thumbnail of Parametric Stability Analysis of a Parabolic-Tapered Rotating Beam Under Variable Temperature Grade

Journal of Vibration Engineering & Technologies, 2018

Purpose The static and dynamic stability of a parabolic-tapered beam of circular cross-section su... more Purpose The static and dynamic stability of a parabolic-tapered beam of circular cross-section subjected to an axial alive load and rotating in the X-Y plane about the Z-axis is analyzed cosidering a variable temperature grade along the centroidal axis of the beam as the beam is in steady state condition. Methods The stability is analyzed for clamped-clamped and pinned-clamped boundary conditions. The parametric instability regions are acquired by means of Saito-Otomi conditions. The consequences of variation parameter, revolution speed, temperature grade and boundary conditions on the instability regions are examined for dynamic load and static buckling loads for 1st, 2nd and 3rd modes and are represented by a number of graphs. Results The results divulge that the stability is increased by increasing revolution speed; however, increase in thermal grade and the variation parameter leads to destabilize the converging system for all boundary conditions. Conclusions This research can be useful for vibration isolation of rotating non-uniform beams with high surroundingtemperature and moderate rotational speeds and the design of rotor blades with high strength to weight ratio by choosing the suitable parameters obtained from this computational analysis.

Research paper thumbnail of Determination of Economical and Stable Rotating Tapered Sandwich Beam Experiencing Parametric Vibration and Temperature Gradient

Journal of The Institution of Engineers (India): Series C, 2018

Research paper thumbnail of Stability analysis of a rotating asymmetric sandwich beam tapered along width and thickness subjected to pulsating axial load

Materials Today: Proceedings

Research paper thumbnail of Static Stability Investigation of an Asymmetric Sandwich Beam in Temperature Environment

Advances in Mechanical Engineering, 2020

Investigation of static stability is done for an asymmetric sandwich beam resting on sinusoidal v... more Investigation of static stability is done for an asymmetric sandwich beam resting on sinusoidal varying Pasternak foundation under the effect of alive axial load and in steady-state one-dimensional temperature gradient. The sequence of methods followed to achieve it are Hamilton’s principle and generalized Galerkin’s method. The consequences occurred on static buckling loads due to various parameters for pinned–pinned, fixed–free and clamped–pinned boundary conditions are observed.

Research paper thumbnail of Parametric stability of Timoshenko taper sandwich beam on Pasternak foundation

Materials Today: Proceedings

Research paper thumbnail of Study of Static and Dynamic Stability of an Exponentially Tapered Circular Revolving Beam Exposed to a Variable Temperature Grade under Several Boundary Arrangements

The Volume 24, No 3, September 2019, 2019

This research work is concerned with the static and dynamic stability study of an exponentially t... more This research work is concerned with the static and dynamic stability study of an exponentially tapered revolving beam having a circular cross-section exposed to an axial live excitation and a variable temperature grade. The stability is analysed for clamped-clamped, clamped-pinned, and pinned-pinned end arrangements. Hamilton’s principle is used to develop the equation of motion and accompanying end conditions. Then, the non-dimensional form of the equation of motion and the end conditions are found. Galerkin’s process is used to find a number of Hill’s equations from the non-dimensional equations. The parametric instability regions are acquired by means of the Saito-Otomi conditions. The consequences of the variation parameter, revolution speed, temperature grade, and hub radius on the instability regions are examined for both static and dynamic load case and represented by a number of plots. The legitimacy of the results is tested by plotting different graphs between displacement...

Research paper thumbnail of биохимические процессы в современных осадках каспийского моря

Материалы XVIII Международной научной конференции (Школы) по морской геологии, 2009

Research paper thumbnail of Static stability analysis of tapered Timoshenko sandwich beam resting on Pasternak foundation with thermal gradient

Materials Today: Proceedings

Research paper thumbnail of Static stability investigation of a tapered asymmetric sandwich beam supported on variable Pasternak foundation

IOP Conference Series: Materials Science and Engineering, 2021

The investigation to analyse a sandwich beam’s static stability with asymmetric configuration, ta... more The investigation to analyse a sandwich beam’s static stability with asymmetric configuration, tapered along the thickness, placing on a Pasternak foundation having linearly varying stiffness and influenced by an alive axial load is executed for several boundary conditions employing computational method. Use of Hamilton’s principle results in the equations of motion and related boundary conditions. Hill’s equations are achieved from the non-dimensionalized equations of motion with the use of Galerkin’s method. Then, the effects of various parameters on the static stability for different boundary conditions are obtained and are showcased in a sequence of graphs using the appropriate MATLAB program.

Research paper thumbnail of Study of cutting force and tool wear during turning of aluminium with WC, PCD and HFCVD coated MCD tools

Manufacturing Review, 2020

Enormous developmental work has been made in synthesis of metastable diamond by hot filament chem... more Enormous developmental work has been made in synthesis of metastable diamond by hot filament chemical vapor deposition (HFCVD) method. In this paper, micro-crystalline diamond (MCD) was deposited on WC–6 wt.% Co cutting tool inserts by HFCVD technique. The MCD coated tool was characterized by the scanning electron microscope (SEM), X-ray diffraction (XRD) and micro Raman spectroscopy (μ-RS). A comparison was made among the MCD tool, uncoated tungsten carbide (WC) tool and polycrystalline diamond (PCD) tool during the dry turning of rolled aluminum. The various major tests were conducted such as surface roughness, cutting force and tool wear, which were taken into consideration to establish a proper comparison among the advanced cutting tools. Surface roughness was measured during machining by Talysurf. The tool wear was studied by SEM after machining. The cutting forces were measured by Kistler 3D-dynamometer during the machining process. The test results indicate that, the CVD coat...

Research paper thumbnail of Stability of a Tapered, Pretwisted, and Rotating Sandwich Beam under Temperature Gradient

Journal of Aerospace Engineering, 2020

AbstractIn this work the parametric instability regions of an exponentially tapered, pretwisted, ... more AbstractIn this work the parametric instability regions of an exponentially tapered, pretwisted, and rotating symmetric sandwich beam under a temperature gradient, subjected to a periodic axial loa...

Research paper thumbnail of Stability analysis of an exponentially tapered, pre-twisted asymmetric sandwich beam on a variable Pasternak foundation with viscoelastic supports under temperature gradient

Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2020

The purpose of this work is to study the stability of an exponentially tapered, pre-twisted and a... more The purpose of this work is to study the stability of an exponentially tapered, pre-twisted and asymmetric sandwich beam on a variable Pasternak foundation, propped at ends. Viscoelastic translational and rotational springs have been employed to include the resistance offered by pinned-pinned end supports. The system is subjected to pulsating axial loads, and the elastic layers are subjected to a temperature gradient due to steady heat flow. A set of equations of motion was obtained by using Hamilton's principle, and instability regions were plotted using formulae developed by Saito and Otomi. The effects of pre-twist angle, temperature gradient, taper parameter, shear modulus of the core, core loss factor, stiffness of the Pasternak foundation and rotational spring stiffness on static stability and regions of parametric instability were studied. Increase in the value of pre-twist angle was observed to be detrimental to both dynamic and static stability of the system. It was found that the dynamic stability of the system also degraded with an increase in the taper parameter.

Research paper thumbnail of Dynamic stability of a viscoelastically supported sandwich beam

Structural Engineering and Mechanics, 2005

The parametric dynamic stability of an asymmetric sandwich beam with viscoelastic core on viscoel... more The parametric dynamic stability of an asymmetric sandwich beam with viscoelastic core on viscoelastic supports at the ends and subjected to an axial pulsating load is investigated. A set of Hill`s equations are obtained from the non-dimensional equations of motion by the application of the general Galerkin method. The zones of parametric instability are obtained using Saito-Otomi conditions. The effects of shear parameter, support characteristics, various geometric parameters and excitation force on the zones of instability are investigated.

Research paper thumbnail of Static and dynamic stability analysis of an asymmetric sandwich beam resting on a variable pasternak foundation subjected to thermal gradient

Meccanica, 2015

The purpose of the article is to analyze the static and dynamic stability of an asymmetric sandwi... more The purpose of the article is to analyze the static and dynamic stability of an asymmetric sandwich beam with viscoelastic core lying on a variable Pasternak foundation under the action of a pulsating axial load subjected to one-dimensional thermal gradient under three different boundary conditions by the computational method. A set of Hill's equation has been obtained by the application of Hamilton's principle along with the generalized Galerkin's method. The effects of thermal gradient, elastic foundation variation parameter, thickness ratio of two elastic layers, the ratio of modulus of the shear layer of Pasternak foundation to the young's modulus of elastic layer, the ratio of the length of the beam to the thickness of the elastic layer, the ratio of in phase shear modulus of the viscoelastic core to the young's modulus of the elastic layer, the ratio of thickness of Pasternak foundation to the length of the beam, coreloss factor on the non-dimensional static buckling loads and on the regions of parametric instability are studied. Keywords Pasternak foundation Á Thermal gradient Á Static and dynamic stability Á Viscoelastic core Á Elastic foundation parameter Á Coreloss factor Á Modulus ratio * G 2 (1 ? jg), complex shear modulus of core G 2 /E i (i = 1, 3) The ratio of in phase shear modulus of the viscoelastic core to the young's modulus of the elastic layer g* g (1 ? jg), complex shear parameter g Shear parameter 2h i (i = 1, 2, 3) Thickness of the ith layer, i = 1 for top layer

Research paper thumbnail of Analysis of Static Instability of an Asymmetric, Rotating Sand-Wich Beam

Advances in Acoustics and Vibration, 2012

The static stability of an asymmetric, rotating sandwich beam subjected to an axial pulsating loa... more The static stability of an asymmetric, rotating sandwich beam subjected to an axial pulsating load has been investigated for pinned-pinned and fixed-free boundary conditions. The equations of motion and associated boundary conditions have been obtained by using the Hamilton's energy principle. Then, these equations of motion and the associated boundary conditions have been nondimensionalised. A set of Hill's equations are obtained from the nondimensional equations of motion by the application of the general Galerkin method. The static buckling loads have been obtained from Hill's equations. The influences of geometric parameters and rotation parameters on the nondimensional static buckling loads have been investigated.

Research paper thumbnail of Simulation and Experimental Studies for Lateral Extrusion of Square and Pentagonal Head from Round Shaft

International Journal of Research in Engineering and Technology, 2013

Recently, in different industries a surging trend has been observed in the demand of integral par... more Recently, in different industries a surging trend has been observed in the demand of integral parts instead of assembled parts due to their increased strength. The components from lateral extrusion process are suitable for this purpose. Variations in load and flow direction of metal are greatly affected by the extruded geometry in this process. Keeping in view the above factors as an objective, an experimental die-punch setup for lateral extrusion is designed and the process is simulated using finite element method both for estimation of load requirement and metal flow patterns. Experimental studies have been carried out to find the extrusion load and the direction of metal flow at different die geometry, taking lead as the billet material. The predictions both in extrusion load and the deformed configuration are in good agreement with the experiment qualitatively under different geometry conditions. Progressive flow of metal at different die geometry has also been studied.

Research paper thumbnail of Static stability of a viscoelastically supported asymmetric sandwich beam with thermal gradient

International Journal of Advanced Structural Engineering (IJASE), 2014

The static stability of an asymmetric sandwich beam with viscoelastic core on viscoelastic suppor... more The static stability of an asymmetric sandwich beam with viscoelastic core on viscoelastic supports at the ends and subjected to an axial pulsating load and a steady, one-dimensional temperature gradient is investigated by computational method. The equations of motion and associated boundary conditions are obtained using the Hamilton's energy principle. Then, these equations of motion and the associated boundary conditions are nondimensionalised. A set of Hill's equations is obtained from the non-dimensional equations of motion by the application of the general Galerkin method. The static buckling loads are obtained from the Hill's equations. The effects of shear parameter, geometric parameters, core loss factors, and thermal gradient on the non-dimensional static buckling loads zones have been investigated.

Research paper thumbnail of Theoretical Analysis of Free Vibration of a Sandwich Beam on Pasternak Foundation with Temperature Gradient

Research paper thumbnail of Analysis of parametric instability of a spring-attached pre-twisted beam with viscoelastic end support

Noise & Vibration Worldwide, 2021

This study investigated the parametric instability of a single elastic beam with spring attachmen... more This study investigated the parametric instability of a single elastic beam with spring attachment on the top and viscoelastic springs as end supports. The beam considered is pre-twisted with a pin connection at both ends that supports the beam. The analytical solution of the problem is expressed in the matrix form achieved from the implementation of Hamilton’s principle and General Galerkin’s method, from which both static and dynamic stability of the beam can be investigated. The results of various influential dimensionless parameters such as stiffness, mass, length, position of the spring attachment, and stiffness of the viscoelastic springs on both the stabilities are studied. This analysis concluded that the spring attachment on the system leads to substantial contribution in improving the stability. The viscoelastic springs also contribute in upsurging the beam’s stability. Three different profiles of the beam have been considered, and for each profile, three different types o...

Research paper thumbnail of Stability Study of a Sandwich Beam with Asymmetric and Non-uniform Configuration Supported Viscoelastically Under Variable Temperature Grade

Journal of Vibration Engineering & Technologies, 2019

Background The end conditions, temperature gradient and geometric parameters affect the system st... more Background The end conditions, temperature gradient and geometric parameters affect the system stability. Purpose This research work concerns with the parametric instability study of a non-uniform asymmetric sandwich beam supported viscoelastically at the ends acted upon by a harmonic axial load and a variable temperature grade which is more appropriate along with a constant temperature grade. Methods Hamilton's energy principle is used to develop the equations of motion and associated end conditions. Then the non-dimensional form of the equation of motion is obtained. Galerkin's process is used to find a set of Hill's equations. The parametric instability regions are acquired by means of Saito-Otomi conditions. Results The consequences of taper parameter, uniform as well as variable temperature grade, shear parameter, spring parameters and spring loss factors on the instability regions are examined and represented by a number of plots. Conclusion The results reveal that rise in the values of thermal gradient for bottom layer and shear parameter, make the beam more stable against harmonic load. Increase in the values of taper parameters and thermal gradient for top layer reduce the flexural rigidity of the system, hence worsen the system stability. The dynamic instability of the system reduces with increase in the values of spring loss factors and spring parameters.

Research paper thumbnail of Parametric Stability Analysis of a Parabolic-Tapered Rotating Beam Under Variable Temperature Grade

Journal of Vibration Engineering & Technologies, 2018

Purpose The static and dynamic stability of a parabolic-tapered beam of circular cross-section su... more Purpose The static and dynamic stability of a parabolic-tapered beam of circular cross-section subjected to an axial alive load and rotating in the X-Y plane about the Z-axis is analyzed cosidering a variable temperature grade along the centroidal axis of the beam as the beam is in steady state condition. Methods The stability is analyzed for clamped-clamped and pinned-clamped boundary conditions. The parametric instability regions are acquired by means of Saito-Otomi conditions. The consequences of variation parameter, revolution speed, temperature grade and boundary conditions on the instability regions are examined for dynamic load and static buckling loads for 1st, 2nd and 3rd modes and are represented by a number of graphs. Results The results divulge that the stability is increased by increasing revolution speed; however, increase in thermal grade and the variation parameter leads to destabilize the converging system for all boundary conditions. Conclusions This research can be useful for vibration isolation of rotating non-uniform beams with high surroundingtemperature and moderate rotational speeds and the design of rotor blades with high strength to weight ratio by choosing the suitable parameters obtained from this computational analysis.

Research paper thumbnail of Determination of Economical and Stable Rotating Tapered Sandwich Beam Experiencing Parametric Vibration and Temperature Gradient

Journal of The Institution of Engineers (India): Series C, 2018