Free vibration

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 0 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 paper presents the free vibration and critical buckling analyses of porous plates based on the first-order shear deformation theory by the proposed three-node triangular element. The bending strain fields of the suggested element are enriched by the bubble node located at the centroid of the triangular element.

18p viyoko 01-10-2024 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 4 0   Download

In this paper the smoothed four-node element with in-plane rotations MISQ24 is combined with a C0-type higher-order shear deformation theory (C0 -HSDT) to propose an improved linear quadrilateral plate element for static and free vibration analyses of laminated composite plates.

12p vifilm 24-09-2024 3 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

In this paper, free vibration of bidirectional functionally graded sandwich (BFGSW) beams is studied by using a finite element formulation. The beams made from three distinct materials are composed of three layers, a homogeneous core and two bidirectional FGM face layers with material properties varying in both the thickness and longitudinal directions by power gradation laws.

15p 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 1 1   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

This paper aims to present thermo-electrical free vibration characteristics of functionally graded material (FGM) sandwich beam placed on the two-parameter elastic foundation. The beam is constructed of a foam core, two middle FGM layers, and two outer piezoelectric layers.

14p vifilm 24-09-2024 2 1   Download

This paper deals with the free vibration and dynamic responses of composite sandwich plates. The sandwich plate has three layers in which two face sheets are made of isotropic material, and the core layer is made of auxetic honeycomb structures with a negative Poisson’s ratio.

14p vifilm 24-09-2024 3 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

A damage diagnosis method for trusses based on incomplete free vibration properties utilizing ensemble learning, e.g. Extreme gradient boosting (XGBoost), is presented in this work. Owing to the lack of measurement sensors, modal features are only measured at master degrees of freedom (DOFs) of a few first models instead of all DOFs of a structural system.

12p vifaye 20-09-2024 1 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 1 1   Download

The derived temperature dependences of the peak intensities, separations and half-widths of the separate spectral peaks in the A-band phonon progressions indicate the different trends for vibration-free zero-phonon electronic transition and vibration-related lower-energy electronic transitions to high vibrational levels of the ground electronic state – lower thermal damping and more softened phonon for the zero-phonon transition, also implying the extended defect origin of the A-band photoluminescence.

9p dianmotminh02 03-05-2024 3 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

In this paper, the Finite Element Method (in ANSYS) is used to investigate natural frequency of vibration and bending characteristics under varying pressure loads applied on the top skin when changing fundamental properties of some gradient configurations, including angular gradient, thickness gradient and functional gradient configurations of the auxetic plate with honeycomb structure.

17p meyerowitz 25-12-2021 8 0   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