A modified Fourier solution for vibration analysis of moderately thick laminated plates with general boundary restraints and internal line supports

被引:69
作者
Ye, Tiangui [1 ]
Jin, Guoyong [1 ]
Su, Zhu [1 ]
Chen, Yuehua [1 ]
机构
[1] Harbin Engn Univ, Coll Power & Energy Engn, Harbin 150001, Peoples R China
基金
中国国家自然科学基金;
关键词
Free vibration; Moderately thick composite plate; General boundary restraints; Arbitrary lamination schemes; Internal line supports; Modified Fourier series; SHEAR DEFORMATION-THEORY; PSEUDO SPECTRAL METHOD; RADIAL BASIS FUNCTIONS; HIGHER-ORDER THEORY; P-RITZ METHOD; COMPOSITE PLATES; RECTANGULAR-PLATES; NATURAL FREQUENCIES; UNIFIED FORMULATION; TRAPEZOIDAL PLATES;
D O I
10.1016/j.ijmecsci.2014.01.001
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
In this investigation, a modified Fourier solution based on the first-order shear deformation theory is developed for the free vibration problems of moderately thick composite laminated plates with general boundary restraints and internal line supports. In this solution approach, regardless of boundary conditions, the displacements and rotation components of the plate are invariantly expressed as a new form of trigonometric series expansions in which several supplementary terms introduced to ensure and accelerate the convergence of the series expansion. All the unknown coefficients are treated as the generalized coordinates and determined using the Raleigh-Ritz method. A systematic comparison including classical boundaries, elastic restraints, and internal line supports between the current solutions and numerical results published by other researchers is carried out to validate the excellent accuracy, reliability and feasibility of the proposed method. Excellent agreements are achieved. Comprehensive studies on the effects of elastic restraint parameters, layout schemes and locations of line supports are also reported. New results are obtained for plates subjected to elastic boundary restraints and arbitrary internal line supports in both directions, which may serve as benchmark solutions for future researches. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码:29 / 46
页数:18
相关论文
共 68 条
[1]   VIBRATIONS OF COMPOSITE PLATES WITH INTERMEDIATE LINE SUPPORTS [J].
ABRATE, S ;
FOSTER, E .
JOURNAL OF SOUND AND VIBRATION, 1995, 179 (05) :793-815
[2]  
[Anonymous], 2004, VIBRATION LAMINATED, DOI DOI 10.1016/B978-0-08-044271-6
[3]   Vibration analysis of cross-ply laminated square plates with general boundary conditions [J].
Aydogdu, M ;
Timarci, T .
COMPOSITES SCIENCE AND TECHNOLOGY, 2003, 63 (07) :1061-1070
[4]   A new shear deformation theory for laminated composite plates [J].
Aydogdu, Metin .
COMPOSITE STRUCTURES, 2009, 89 (01) :94-101
[5]   REFINEMENT OF HIGHER-ORDER LAMINATED PLATE THEORIES [J].
BHASKAR, K ;
VARADAN, TK .
AIAA JOURNAL, 1989, 27 (12) :1830-1831
[6]  
Carrera E., 2003, Applied Mechanics Review, V56, P287, DOI 10.1115/1.1557614
[7]   On the use of the Murakami's zig-zag function in the modeling of layered plates and shells [J].
Carrera, E .
COMPUTERS & STRUCTURES, 2004, 82 (7-8) :541-554
[8]   Mixed layer-wise models for multilayered plates analysis [J].
Carrera, E .
COMPOSITE STRUCTURES, 1998, 43 (01) :57-70
[9]   Theories and finite elements for multilayered, anisotropic, composite plates and shells [J].
Carrera, E .
ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, 2002, 9 (02) :87-140
[10]  
Carrera E., 2011, Plates and Shells for Smart Structures: Classical and Advanced Theories for Modeling and Analysis