Free vibration analysis

This paper applies the homotopy analysis method to study nonlinear free vibrations. The paper has used the homotopy analysis method to find analytical solutions of a nonlinear two-degree-of-freedom system. Analytical results have found the natural oscillation frequencies, the displacement formula of the system are approximately calculated at the 10th order.

9p viengfa 28-10-2024 2 0   Download

The objective of this article is to investigate the free vibration analyses of the functionally graded magneto-electro-elastic (FG MEE) plates supported by an elastic foundation using the refined plate theory (RPT) with two variables.

12p viling 11-10-2024 1 0   Download

This study introduces a novel Ritz approximation function to analyze the free vibrations of laminated composite shallow curved beams. The methodology utilizes polynomial functions-based Fibonacci series to develop the Ritz’s approximation function. The displacement field aligns with the high-order shear deformation theory designed explicitly for shallow curved beams.

18p viyoko 01-10-2024 5 1   Download

In this paper, an efficient computational approach is developed to investigate the free-vibration behavior of functionally graded plates. The problem is developed based on a three-dimensional elasticity theory, which is expected to capture the structural response accurately.

11p vifilm 24-09-2024 2 1   Download

We present a generalized three-variable high order shear deformation theory (THSDT) using isogeometric analysis (IGA) to analyze free vibration of functionally graded porous (FGP) plates reinforced by graphene platelets (GPLs) in this work. It is named as FGP-GPLs for a short. The proposed theory only has got three degrees of freedom (DOFs) per node as the same way of numerically solutions in three-dimensional (3D) solids.

16p vifilm 24-09-2024 2 2   Download

This paper presents a numerical approach for static bending and free vibration analysis of the functionally graded porous plates (FGPP) resting on the elastic foundation using the refined quasi-3D sinusoidal shear deformation theory (RQSSDT) combined with the Moving Kriging–interpolation meshfree method.

19p vifilm 24-09-2024 2 1   Download

In this article, an efficient numerical approach for weight optimisation of functionally graded (FG) beams in the presence of frequency constraints is presented. For the analysis purpose, a finite element (FE) solution based on the first order shear deformation theory (FSDT) is established to analyse the free vibration behaviour of FG beams.

16p viyoko 24-09-2024 2 1   Download

This study investigates the bending behaviour and free vibration response of a rectangular sandwich plate with auxetic honeycomb core and functionally graded material (FGM) face sheets. Governing equations are established from Hamilton’s principle in the framework of the first-order deformation theory (FSDT).

11p vifaye 20-09-2024 5 1   Download

This study investigates the static bending and free vibration behaviour of Multi-directional Functionally Graded (MFGM) plates having a variable thickness. With this regard, the third-order shear deformation plate theory is used to describe the kinematic relation.

20p vifaye 20-09-2024 2 1   Download

In this work, the free vibration analysis of Timoshenko microbeams made of the Functionally Graded Material (FGM) on the Winkler–Paternak elastic foundation based on the Modified Coupled Stress Theory (MCST) is investigated. Material characteristics of the beam vary throughout the thickness according to the power distribution and are estimated though Mori–Tanaka, Hashin–Shtrikman and Voigt homogenization techniques.

13p dianmotminh02 03-05-2024 9 3   Download

In this paper, the author uses the forced displacement method combined with the finite element method to study the free vibration of the bar with different boundary conditions with considering the influence of the shear strain, the theory used here is the full beam theory.

10p visherylsandber 04-07-2022 19 3   Download

The objectives of the thesis: The thesis has developed a technique by combining the equivalent linearization method and the weighted averaging value to analyze the responses of some undamped free nonlinear vibrations.

31p extraenglish 24-05-2021 13 3   Download

The thesis has developeda technique by combining the equivalent linearization method and the weighted averagingvalueto analyze the responses of some undamped free nonlinear vibrations.

31p capheviahe29 17-03-2021 28 4   Download

This paper is concerned with the vibration and stability analysis of thick rectangular plates resting on elastic foundation, which is distributed over the particular area of the plate. A two-parameter (Pasternak) model is considered to describe the elastic foundation.

18p tohitohi 19-05-2020 9 1   Download

This paper presents a numerical analysis of free vibration of thin circular and annular plate using finite element method. The first five natural frequencies are presented for uniform annular plates of various inner-to-outer radius ratios, with nine possible combinations of free, clamped and simply supported boundary conditions at the inner and outer edges of plates.

8p tohitohi 19-05-2020 30 2   Download

This paper presents two parameter foundation models for free vibration analysis of non-homogeneous orthotropic rectangular plate resting on elastic foundation whose concept is extensively used in engineering practice.

12p tohitohi 19-05-2020 15 2   Download

In this paper free vibration analysis of eccentric and concentric stiffened isotropic plate with central stiffener and double stiffener has been studied and effect of various parameters such as boundary conditions, aspect ratio on non-dimensional frequency parameter of plate are investigated.

12p tohitohi 19-05-2020 14 0   Download

Cutouts are commonly used as access port for mechanical and electrical structures. Most of the tructures generally work under severe dynamic loading and different constrained conditions during their service life. This may lead to vibration of the structure.

8p tohitohi 19-05-2020 15 4   Download

This paper presents the free vibration analysis of stiffened isotropic plate by means of finite element method. Stiffeners are used in plates to increase the strength and stiffness. The effect of position of stiffeners on isotropic plate has been studied which involve the possible combination of clamped and free edge condition.

10p tohitohi 19-05-2020 11 0   Download

Finite element method is used to study the free vibration analysis of functionally graded skew plates. The material properties of the skew plates are assumed to vary continuously through their thickness according to a power-law distribution of the volume fractions of the plate constituents.

10p tohitohi 19-05-2020 12 0   Download