Dynamic Analysis of Elastically Supported Functionally Graded Sandwich Beams Resting on Elastic Foundations Under Moving Loads

被引:2
作者
Chen, Wei-Ren [1 ]
Lin, Chien-Hung [1 ]
机构
[1] Chinese Culture Univ, Dept Mech Engn, Taipei 11114, Taiwan
关键词
Transformed-section method; FG sandwich beams; elastic foundation; moving load; Chebyshev collocation method; forced vibration; VIBRATION ANALYSIS; SHEAR;
D O I
10.1142/S0219455424500871
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Vibration behaviors of elastically supported functionally graded (FG) sandwich beams resting on elastic foundations under moving loads are investigated. The transformed-section method is first applied to establish the bending vibration equations of FG sandwich beams, then the Chebyshev collocation method is used to study free and forced vibrations. Two types of sandwich beams with FG faces-isotropic core and isotropic faces-FG core are considered. The material properties of FG materials are assumed to vary across the beam thickness according to a simple power function. Regarding the free vibration analysis, bending vibration frequencies are calculated numerically by forming a matrix eigenvalue equation. As for the forced vibration analysis, the backward differentiation formula method is employed to solve the time-dependent ordinary differential equations to obtain the dynamic deformations of the beam. To ensure the accuracy of the proposed model, some calculated results are compared with those in the published literature. Parametric studies are then performed to demonstrate the effects of material gradient indexes, stack types, layer thickness ratios, slenderness ratios, excitation frequency and speed of moving loads, and foundation and support stiffness parameters on the dynamic characteristics of FG sandwich beams.
引用
收藏
页数:32
相关论文
共 39 条
  • [1] Vibration analysis of magnetorheological fluid circular sandwich plates with magnetostrictive facesheets exposed to monotonic magnetic field located on visco-Pasternak substrate
    Amir, Saeed
    Arshid, Ehsan
    Maraghi, Zahra Khoddami
    Loghman, Abbas
    Arani, Ali Ghorbanpour
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2020, 26 (17-18) : 1523 - 1537
  • [2] [Anonymous], 1990, Vibration problems in engineering
  • [3] Timoshenko beam-column with generalized end conditions on elastic foundation: Dynamic-stiffness matrix and load vector
    Arboleda-Monsalve, Luis G.
    Zapata-Medina, David G.
    Aristizabal-Ochoa, J. Dario
    [J]. JOURNAL OF SOUND AND VIBRATION, 2008, 310 (4-5) : 1057 - 1079
  • [4] Free vibration and buckling analyses of FG porous sandwich curved microbeams in thermal environment under magnetic field based on modified couple stress theory
    Arshid, Ehsan
    Arshid, Hossein
    Amir, Saeed
    Mousavi, S. Behnam
    [J]. ARCHIVES OF CIVIL AND MECHANICAL ENGINEERING, 2021, 21 (01)
  • [5] Dynamic Instability of Sandwich Beams Made of Isotropic Core and Functionally Graded Graphene Platelets-Reinforced Composite Face Sheets
    Asgari, Gholam Reza
    Arabali, Amirbahador
    Babaei, Masoud
    Asemi, Kamran
    [J]. INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2022, 22 (08)
  • [6] Vibrational behavior of thermally pre-/post-buckled FG-CNTRC beams on a nonlinear elastic foundation: a two-step perturbation technique
    Babaei, Hadi
    Kiani, Yaser
    Eslami, M. Reza
    [J]. ACTA MECHANICA, 2021, 232 (10) : 3897 - 3915
  • [7] A new higher-order shear and normal deformation theory for functionally graded sandwich beams
    Département de Génie Civil, Faculté de Génie Civil et D'architecture, Univesité Hassiba Benbouali de Chlef, Algeria
    不详
    不详
    [J]. Steel Compos. Struct., 3 (521-546): : 521 - 546
  • [8] Review of current trends in research and applications of sandwich structures
    Birman, Victor
    Kardomateas, George A.
    [J]. COMPOSITES PART B-ENGINEERING, 2018, 142 : 221 - 240
  • [9] Brenan K. E., 1996, Numerical Solution of Initial-value Problems in Differential-algebraic Equations
  • [10] Gram-Schmidt-Ritz method for dynamic response of FG-GPLRC beams under multiple moving loads
    Chaikittiratana, Arisara
    Wattanasakulpong, Nuttawit
    [J]. MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2022, 50 (07) : 2427 - 2448