Gulnaz Kanwal - Academia.edu (original) (raw)

Gulnaz Kanwal

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Papers by Gulnaz Kanwal

Research paper thumbnail of A comprehensive study of elastically constrained beams under compression and tensile forces employing analytical and numerical approaches

Research paper thumbnail of A comparative analysis of the vibrational behavior of various beam models with different foundation designs

Research paper thumbnail of Analytical and computational analysis of vibrational behavior of axially loaded beams placed on elastic foundations

Research paper thumbnail of Effects of shear deformation and rotary inertia on elastically constrained beam resting on pasternak foundation

Physica Scripta, May 22, 2023

This study investigates the free vibrations of elastically constrained shear and Rayleigh beams p... more This study investigates the free vibrations of elastically constrained shear and Rayleigh beams placed on the Pasternak foundation. Of particular interest, it is aimed to analyze the influence of shear strain, rotational inertia, elastic stiffness, and shear layer on the natural frequencies and eigenmodes of beam vibrations. For this purpose, the eigenfrequencies and eigenmodes are determined using analytical and numerical techniques. A finite element scheme is developed employing quadratic and cubic polynomials for slope and transverse displacement, respectively. The efficiency and accuracy of the finite element method are illustrated by comparing it with the analytical results for generalized and special cases. The underlying model analysis justifies that the natural frequencies of the beam vibration depend only on the geometry of the Rayleigh beam, while these frequencies depend on the physical and geometric properties of the shear beam. However, the natural frequencies of the Euler-Bernoulli depend solely on the geometric conditions of the beam.

Research paper thumbnail of Analyzing the Effect of Rotary Inertia and Elastic Constraints on a Beam Supported by a Wrinkle Elastic Foundation: A Numerical Investigation

Buildings

This article presents a modal analysis of an elastically constrained Rayleigh beam that is placed... more This article presents a modal analysis of an elastically constrained Rayleigh beam that is placed on an elastic Winkler foundation. The study of beams plays a crucial role in building construction, providing essential support and stability to the structure. The objective of this investigation is to examine how the vibrational frequencies of the Rayleigh beam are affected by the elastic foundation parameter and the rotational inertia. The results obtained from analytical and numerical methods are presented and compared with the configuration of the Euler–Bernoulli beam. The analytic approach employs the technique of separation of variable and root finding, while the numerical approach involves using the Galerkin finite element method to calculate the eigenfrequencies and mode functions. The study explains the dispersive behavior of natural frequencies and mode shapes for the initial modes of frequency. The article provides an accurate and efficient numerical scheme for both Rayleigh ...

Research paper thumbnail of Acoustic energy flux analysis of the bifurcated waveguide by varying outlet boundaries

Waves in Random and Complex Media

Research paper thumbnail of A Subdivision Approach to the Approximate Solution of 3rd Order Boundary Value Problem

Communications in Mathematics and Applications, 2018

An algorithm to solve 3rd order boundary value problem is focused in this paper which is 8-point ... more An algorithm to solve 3rd order boundary value problem is focused in this paper which is 8-point approximating scheme. It concludes the results with stability and convergence that is evaluated with the illustration of numerical example. This paper also contains the analysis of approximation properties for the mentioned collocation algorithm.

Research paper thumbnail of A New Extension of Beta and Hypergeometric Functions

The main objective of this paper is to introduce a further extension of extended (p, q)-beta func... more The main objective of this paper is to introduce a further extension of extended (p, q)-beta function by considering two Mittag-Leffler function in the kernel. We investigate various properties of this newly defined beta function such as integral representations, summation formulas and Mellin transform. We define extended beta distribution and its mean, variance and moment generating function with the help of extension of beta function. Also, we establish an extension of extended (p, q)-hypergeometric and (p, q)-confluent hypergeometric functions by using the extension of beta function. Various properties of newly defined extended hypergeometric and confluent hypergeometric functions such as integral representations, Mellin transformations, differentiation formulas, transformation and summation formulas are investigated.

Research paper thumbnail of A comprehensive study of elastically constrained beams under compression and tensile forces employing analytical and numerical approaches

Research paper thumbnail of A comparative analysis of the vibrational behavior of various beam models with different foundation designs

Research paper thumbnail of Analytical and computational analysis of vibrational behavior of axially loaded beams placed on elastic foundations

Research paper thumbnail of Effects of shear deformation and rotary inertia on elastically constrained beam resting on pasternak foundation

Physica Scripta, May 22, 2023

This study investigates the free vibrations of elastically constrained shear and Rayleigh beams p... more This study investigates the free vibrations of elastically constrained shear and Rayleigh beams placed on the Pasternak foundation. Of particular interest, it is aimed to analyze the influence of shear strain, rotational inertia, elastic stiffness, and shear layer on the natural frequencies and eigenmodes of beam vibrations. For this purpose, the eigenfrequencies and eigenmodes are determined using analytical and numerical techniques. A finite element scheme is developed employing quadratic and cubic polynomials for slope and transverse displacement, respectively. The efficiency and accuracy of the finite element method are illustrated by comparing it with the analytical results for generalized and special cases. The underlying model analysis justifies that the natural frequencies of the beam vibration depend only on the geometry of the Rayleigh beam, while these frequencies depend on the physical and geometric properties of the shear beam. However, the natural frequencies of the Euler-Bernoulli depend solely on the geometric conditions of the beam.

Research paper thumbnail of Analyzing the Effect of Rotary Inertia and Elastic Constraints on a Beam Supported by a Wrinkle Elastic Foundation: A Numerical Investigation

Buildings

This article presents a modal analysis of an elastically constrained Rayleigh beam that is placed... more This article presents a modal analysis of an elastically constrained Rayleigh beam that is placed on an elastic Winkler foundation. The study of beams plays a crucial role in building construction, providing essential support and stability to the structure. The objective of this investigation is to examine how the vibrational frequencies of the Rayleigh beam are affected by the elastic foundation parameter and the rotational inertia. The results obtained from analytical and numerical methods are presented and compared with the configuration of the Euler–Bernoulli beam. The analytic approach employs the technique of separation of variable and root finding, while the numerical approach involves using the Galerkin finite element method to calculate the eigenfrequencies and mode functions. The study explains the dispersive behavior of natural frequencies and mode shapes for the initial modes of frequency. The article provides an accurate and efficient numerical scheme for both Rayleigh ...

Research paper thumbnail of Acoustic energy flux analysis of the bifurcated waveguide by varying outlet boundaries

Waves in Random and Complex Media

Research paper thumbnail of A Subdivision Approach to the Approximate Solution of 3rd Order Boundary Value Problem

Communications in Mathematics and Applications, 2018

An algorithm to solve 3rd order boundary value problem is focused in this paper which is 8-point ... more An algorithm to solve 3rd order boundary value problem is focused in this paper which is 8-point approximating scheme. It concludes the results with stability and convergence that is evaluated with the illustration of numerical example. This paper also contains the analysis of approximation properties for the mentioned collocation algorithm.

Research paper thumbnail of A New Extension of Beta and Hypergeometric Functions

The main objective of this paper is to introduce a further extension of extended (p, q)-beta func... more The main objective of this paper is to introduce a further extension of extended (p, q)-beta function by considering two Mittag-Leffler function in the kernel. We investigate various properties of this newly defined beta function such as integral representations, summation formulas and Mellin transform. We define extended beta distribution and its mean, variance and moment generating function with the help of extension of beta function. Also, we establish an extension of extended (p, q)-hypergeometric and (p, q)-confluent hypergeometric functions by using the extension of beta function. Various properties of newly defined extended hypergeometric and confluent hypergeometric functions such as integral representations, Mellin transformations, differentiation formulas, transformation and summation formulas are investigated.

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