Marta Bold - Academia.edu (original) (raw)

Papers by Marta Bold

Research paper thumbnail of Modelling and Analysis of Damping in Slides of Truck-Mounted Crane Boom

Machine Dynamics Research, 2015

This study formulates and solves the problem of transverse damped vibrations in a crane boom of a... more This study formulates and solves the problem of transverse damped vibrations in a crane boom of a truck-mounted crane. Dissipation of vibration energy in the model adopted results from motion resistance in slides between the moving components of the crane boom. A damping using Kelvin-Voigt model that characterizes dynamic properties of slides was added to the system. The effect of changes in damping coefficient and rigidity of springs on eigenvalues of the system studied was presented. The damped vibration frequencies and the degree of amplitude decay were calculated.

Research paper thumbnail of Damped vibration of a non-prismatic beam with a rotational spring

Vibrations in Physical Systems, 2014

In this paper a problem pertaining to the damped lateral vibrations of a beam with different boun... more In this paper a problem pertaining to the damped lateral vibrations of a beam with different boundary conditions and with a rotational spring is formulated and solved. In the adopted model the vibration energy dissipation derives from the internal damping of the viscoelastic material (Kelvin–Voigt rheological model) of the beam and from the resistance motion in the supports. The rotational spring can be mounted at any chosen position along the beam length. The influence of step changes in the cross-section of the beam on its damped lateral vibrations is also investigated in the paper. The damped vibration frequency and the vibration amplitude decay level are calculated. Changes in the eigenvalues of the beam vibrations along with the changes in the damping ratio and the change in the model geometry observed on it are also presented. The considered beam was treated as EulerBernoulli beam.

Research paper thumbnail of Influence of Internal and Constructional Damping on Vibrations of Telescopic Boom of Truck Crane

Machine Dynamics Research, 2014

This study formulates and solves the problem of transverse damped vibrations in a crane boom of a... more This study formulates and solves the problem of transverse damped vibrations in a crane boom of a truck-mounted crane. Dissipation of vibration energy in the model adopted in the study occurs as a result of internal damping of the viscoelastic material (rheological Kelvin-Voigt model) of the beams that model the system and motion resistance in slides between the moving components of the crane boom. Damped frequencies of vibrations and degree of amplitude decay were calculated. The study also presents eigenvalues of system vibration with respect to changes in damping coefficients and system geometry for selected rigidity of springs.

Research paper thumbnail of Influence of complex damping on transverse and longitudinal vibrations of portal frame

Journal of Vibroengineering

This paper presents a formulation and solution for the problem of transverse and longitudinal vib... more This paper presents a formulation and solution for the problem of transverse and longitudinal vibration of the portal frame with damping. The dissipation of vibration energy in the model is caused by simultaneous constructional, internal and external damping. The eigenvalues of the system for a selected and variable parameters were calculated. The effect of different type of damping on amplitude decay factor was presented.

Research paper thumbnail of Transverse and longitudinal damped vibration of the GAMMA type frame

Journal of Applied Mathematics and Computational Mechanics

In this paper, the problem of transverse and longitudinal damped vibration of the Γ type frame wa... more In this paper, the problem of transverse and longitudinal damped vibration of the Γ type frame was formulated and solved. The effect of constructional damping of the column support and fixing bolt frame support on degree of vibration amplitude decay was presented. The vibration energy dissipation in the model (modelled by the rotational viscous dampers) is a result of the movement resistance taken into account in the frame supports. The eigenvalues of the system with respect to changes in system geometry and for a selected and variable damping coefficient values were calculated.

Research paper thumbnail of Damped vibration of the system of changing the crane boom radius

Journal of Applied Mathematics and Computational Mechanics

This study formulates and solves the problem of transverse damped vibration in the system of chan... more This study formulates and solves the problem of transverse damped vibration in the system of changing the boom radius in a truck crane with advanced cylinder design for controlling the boom radius. The dissipation of vibration energy in the model adopted in the study occurs as a result of internal damping of the viscoelastic material (rheological Kelvin-Voigt model) of the beams that model the system and movement resistance in the supports of the cylinder and crane boom to the bodywork frame of the crane. Damped frequencies of vibrations and degree of vibration amplitude decay were calculated. The study also presents eigenvalues of system vibration with respect to changes in damping coefficients and system geometry for a selected load.

Research paper thumbnail of Vibration of crane radius change system with internal damping

Journal of Applied Mathematics and Computational Mechanics

In the present work a problem pertaining to the damped lateral vibrations of the truck crane radi... more In the present work a problem pertaining to the damped lateral vibrations of the truck crane radius change system with the developed hydraulic cylinder model that changes the radius has been formulated and solved. In the adopted model the vibration energy dissipation derives from the internal damping of the viscoelastic material (the Kelvin-Voigt rheological model) of beams that model the system. Damped vibration frequency and the vibration amplitude decay level have been calculated. Changes of the eigenvalues of system vibrations with the damping ratio change and the change of the system geometry with different loads observed on it have been presented.

Research paper thumbnail of Damped Vibrations of Hydraulic Cylinder with a Spring-damper System in Supports

Research paper thumbnail of Effect of structural damping on vibration of a truck-mounted telescopic crane

Research paper thumbnail of Damped vibrations of the Γ type frame with open cracks

Journal of Vibroengineering

This paper discusses the formulation and solution for the problem of damped transverse vibrations... more This paper discusses the formulation and solution for the problem of damped transverse vibrations of the Γ type frame with open cracks. Dissipation of vibration energy in the frame results from the movement constraint in the column and bolt support (constructional damping) and internal damping of viscoelastic material of the frame (rheological model by Kelvin-Voigt). Presence of a crack impacts local flexibility that has an effect on frame vibration response. The boundary problem for the above system was formulated based on the Hamilton's principle and solved numerically for the complex eigenvalues *. The effect of the crack depth and its location on damped vibration was presented. The effect of both types of damping on the degree of amplitude decay was also presented.

Research paper thumbnail of Modelling and Analysis of Damping in Slides of Truck-Mounted Crane Boom

Machine Dynamics Research, 2015

This study formulates and solves the problem of transverse damped vibrations in a crane boom of a... more This study formulates and solves the problem of transverse damped vibrations in a crane boom of a truck-mounted crane. Dissipation of vibration energy in the model adopted results from motion resistance in slides between the moving components of the crane boom. A damping using Kelvin-Voigt model that characterizes dynamic properties of slides was added to the system. The effect of changes in damping coefficient and rigidity of springs on eigenvalues of the system studied was presented. The damped vibration frequencies and the degree of amplitude decay were calculated.

Research paper thumbnail of Damped vibration of a non-prismatic beam with a rotational spring

Vibrations in Physical Systems, 2014

In this paper a problem pertaining to the damped lateral vibrations of a beam with different boun... more In this paper a problem pertaining to the damped lateral vibrations of a beam with different boundary conditions and with a rotational spring is formulated and solved. In the adopted model the vibration energy dissipation derives from the internal damping of the viscoelastic material (Kelvin–Voigt rheological model) of the beam and from the resistance motion in the supports. The rotational spring can be mounted at any chosen position along the beam length. The influence of step changes in the cross-section of the beam on its damped lateral vibrations is also investigated in the paper. The damped vibration frequency and the vibration amplitude decay level are calculated. Changes in the eigenvalues of the beam vibrations along with the changes in the damping ratio and the change in the model geometry observed on it are also presented. The considered beam was treated as EulerBernoulli beam.

Research paper thumbnail of Influence of Internal and Constructional Damping on Vibrations of Telescopic Boom of Truck Crane

Machine Dynamics Research, 2014

This study formulates and solves the problem of transverse damped vibrations in a crane boom of a... more This study formulates and solves the problem of transverse damped vibrations in a crane boom of a truck-mounted crane. Dissipation of vibration energy in the model adopted in the study occurs as a result of internal damping of the viscoelastic material (rheological Kelvin-Voigt model) of the beams that model the system and motion resistance in slides between the moving components of the crane boom. Damped frequencies of vibrations and degree of amplitude decay were calculated. The study also presents eigenvalues of system vibration with respect to changes in damping coefficients and system geometry for selected rigidity of springs.

Research paper thumbnail of Influence of complex damping on transverse and longitudinal vibrations of portal frame

Journal of Vibroengineering

This paper presents a formulation and solution for the problem of transverse and longitudinal vib... more This paper presents a formulation and solution for the problem of transverse and longitudinal vibration of the portal frame with damping. The dissipation of vibration energy in the model is caused by simultaneous constructional, internal and external damping. The eigenvalues of the system for a selected and variable parameters were calculated. The effect of different type of damping on amplitude decay factor was presented.

Research paper thumbnail of Transverse and longitudinal damped vibration of the GAMMA type frame

Journal of Applied Mathematics and Computational Mechanics

In this paper, the problem of transverse and longitudinal damped vibration of the Γ type frame wa... more In this paper, the problem of transverse and longitudinal damped vibration of the Γ type frame was formulated and solved. The effect of constructional damping of the column support and fixing bolt frame support on degree of vibration amplitude decay was presented. The vibration energy dissipation in the model (modelled by the rotational viscous dampers) is a result of the movement resistance taken into account in the frame supports. The eigenvalues of the system with respect to changes in system geometry and for a selected and variable damping coefficient values were calculated.

Research paper thumbnail of Damped vibration of the system of changing the crane boom radius

Journal of Applied Mathematics and Computational Mechanics

This study formulates and solves the problem of transverse damped vibration in the system of chan... more This study formulates and solves the problem of transverse damped vibration in the system of changing the boom radius in a truck crane with advanced cylinder design for controlling the boom radius. The dissipation of vibration energy in the model adopted in the study occurs as a result of internal damping of the viscoelastic material (rheological Kelvin-Voigt model) of the beams that model the system and movement resistance in the supports of the cylinder and crane boom to the bodywork frame of the crane. Damped frequencies of vibrations and degree of vibration amplitude decay were calculated. The study also presents eigenvalues of system vibration with respect to changes in damping coefficients and system geometry for a selected load.

Research paper thumbnail of Vibration of crane radius change system with internal damping

Journal of Applied Mathematics and Computational Mechanics

In the present work a problem pertaining to the damped lateral vibrations of the truck crane radi... more In the present work a problem pertaining to the damped lateral vibrations of the truck crane radius change system with the developed hydraulic cylinder model that changes the radius has been formulated and solved. In the adopted model the vibration energy dissipation derives from the internal damping of the viscoelastic material (the Kelvin-Voigt rheological model) of beams that model the system. Damped vibration frequency and the vibration amplitude decay level have been calculated. Changes of the eigenvalues of system vibrations with the damping ratio change and the change of the system geometry with different loads observed on it have been presented.

Research paper thumbnail of Damped Vibrations of Hydraulic Cylinder with a Spring-damper System in Supports

Research paper thumbnail of Effect of structural damping on vibration of a truck-mounted telescopic crane

Research paper thumbnail of Damped vibrations of the Γ type frame with open cracks

Journal of Vibroengineering

This paper discusses the formulation and solution for the problem of damped transverse vibrations... more This paper discusses the formulation and solution for the problem of damped transverse vibrations of the Γ type frame with open cracks. Dissipation of vibration energy in the frame results from the movement constraint in the column and bolt support (constructional damping) and internal damping of viscoelastic material of the frame (rheological model by Kelvin-Voigt). Presence of a crack impacts local flexibility that has an effect on frame vibration response. The boundary problem for the above system was formulated based on the Hamilton's principle and solved numerically for the complex eigenvalues *. The effect of the crack depth and its location on damped vibration was presented. The effect of both types of damping on the degree of amplitude decay was also presented.