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Free vibration analysis
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The aim of this work isto present a semi-analytical approach that combines the third-order shear deformation theory with von Kármán's geometric nonlinearity for fully simply supported composite plates reinforced by aligned CNTs resting on an elastic foundation.
18p
viambani
18-06-2024
1
1
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Part 2 book "Stress, strain, and structural dynamics - An interactive handbook of formulas, solutions, and MATLAB toolboxes" includes content: Vibration and control of multiple degree of freedom systems, dynamics and control of euler bernoulli beams, dynamic analysis of bars, shafts and strings, dynamic analysis of constrained, combined and stepped beams, static analysis of linearly elastic bodies, free vibration of membranes and plates.
506p
dianmotminh03
11-06-2024
4
2
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This work focuses on the free vibration of the functionally graded porous (FGP) sandwich microplates using the isogeometric approach (IGA). The FGP sandwich plate comprises the homogeneous core and the FG porous face sheets. The material properties of the FGP face sheets are supposed to vary through the thickness direction according to the power-law function and modified rule of a mixture of the volume fraction with three different types of porosity distribution: homogeneous porous, X porous and V porous distributions.
11p
dathienlang1012
03-05-2024
2
0
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This article investigates the free vibration of the porous metal foam plates resting on an elastic foundation based on the isogeometric approach (IGA). The elastic foundation is modeled as a two-parameter of Winkler and Pasternak foundations. The pores are assumed to vary through the thickness direction in three types: uniform, symmetric and asymmetric distributions.
11p
dathienlang1012
03-05-2024
2
0
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In this study, the nonlocal elasticity theory is applied to analyze the free vibration of the functionally graded nanobeams. The novelty of the present study is that the classical nonlocal elasticity theory has been modified to take into account the variation of the nonlocal parameters through the thickness of the functionally graded. nanobeams.
10p
dathienlang1012
03-05-2024
1
0
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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
7
2
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In this paper, the static and dynamic behaviour of sandwich beams with porous core are numerically analyzed and validated by experimental tests. The beam consists of a thick porous core with a uniform porosity distribution over its domain and two outer face layers.
16p
viohoyo
25-04-2024
3
2
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Part 1 book "Structural dynamics" includes content: Undamped single degree of freedom system; damped single degree of freedom system; response of one degree of freedom system to harmonic loading; response to general dynamic loading; response spectra; nonlinear structural response; free vibration of a shear building; forced motion of shear buildings; reduction of dynamic matrices; dynamic analysis of beams; dynamic analysis of plane frames.
325p
muasambanhan06
01-02-2024
5
1
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This report presents an analytical approach to the natural frequency analysis of a porous beam consisting of a host porous layer reinforced with graphene platelets (GPLs), namely GPL-reinforced porous core, and two piezoelectric outer layers. In the modelling, symmetric distributions of both porosity and GPLs in the core are supposed.
13p
viisac
15-09-2023
7
3
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This paper analyses free vibrations of framed nanostructures made of Functionally Graded Material (FGM) based on the Nonlocal Elastic Theory (NET) and the Dynamic Stiffness Method (DSM). FGM characteristics vary nonlinearly throughout the height of the beam element.
19p
viisac
15-09-2023
11
3
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This report presents an analytical approach to the natural frequency analysis of a porous beam consisting of a host porous layer reinforced with graphene platelets (GPLs), namely GPL-reinforced porous core, and two piezoelectric outer layers. In the modelling, symmetric distributions of both porosity and GPLs in the core are supposed. The effective mechanical properties of the GPL-reinforced porous core are estimated by Halpin–Tsai model and the rule of mixture.
13p
viwolverine
11-07-2023
3
2
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Based on fundamental equations of the elasticity theory, a unified higher-order shear deformation theory is developed for bending and free vibration analysis of functionally graded (FG) microplates with porosities. The modified strain gradient theory is employed to capture the size effects.
24p
viwolverine
11-07-2023
3
2
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This paper aims to analyze the free and forced vibrations of the twostorey building frame with cracks. The two-storey frame system with cracks is modelled when many constituent parameters existed such as crack depth, crack location, flexural stiffness and elastic force which were involved by a nonlinear function.
8p
viironman
02-06-2023
6
2
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The model is built to analyze and calculate the torsional vibration of the internal combustion engine shaft system and the generator connected by hard coupling to assess the response to the free and forced vibration of the shaft system, thereby serving as a basis for devising a suitable plan to reduce or avoid the problem of shaft torsion vibration.
6p
vifalcon
18-05-2023
8
3
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In this paper, a study on the free vibration analysis based on isogeometric approach of truss structures is presented. Three refinement schemes such as h-, p- and k- refinement are used to obtain the accuracy of solution.
8p
vidoctorstrange
06-05-2023
4
1
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In this paper, the authors proposed a higher-order shear deformation theory for buckling and free vibration analysis of functionally graded sandwich plates. Equations of motion derived from Hamilton’s principle are established basing on a refined hyperbolic distribution of transverse shear stress which satisfies the traction free boundary conditions.
8p
vidoctorstrange
06-05-2023
8
2
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For plate bending problems, using a plate theory to model thin plate structures is less computationally expensive than 3D modelling. The Kirchhoff-Love plate theory is appropriate for analysing thin plate structures. If the membrane deformation is ignored in the KirchhoffLove plate, each node has only one degree of freedom – the deflection.
14p
vidudley
20-02-2023
11
2
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This study investigates the static bending and free vibration behaviour of Multi-directional Functionally Graded plates having a variable thickness. With this regard, the third-order shear deformation plate theory is used to describe the kinematic relation. Material properties of MFGM are assumed to be graded in spatial direction within the plate’s volume and the effective material properties are calculated based on the power-law approach.
20p
vimclaren
12-10-2022
4
3
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This study investigates the bending behaviour and free vibration response of a rectangular sandwich plate with auxetic honeycomb core and functionally graded material face sheets. Governing equations are established from Hamilton’s principle in the framework of the first-order deformation theory.
11p
vimclaren
12-10-2022
4
2
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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
18
3
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