Bending and free vibration analysis of isotropic and multilayered plates and shells by using a new accurate higher-order shear deformation theory

被引：84
作者：
Mantari, J. L. [1 ]
Oktem, A. S. [1 ]
Guedes Soares, C. [1 ]
机构：
[1] Univ Tecn Lisboa, Ctr Marine Technol & Engn CENTEC, Inst Super Tecn, P-1049001 Lisbon, Portugal
来源：
COMPOSITES PART B-ENGINEERING | 2012年 / 43卷 / 08期
关键词：
Layered structures; Vibration; Analytical modeling; Higher order shear deformation theory; LAMINATED COMPOSITE; NONLINEAR-THEORY; FINITE-ELEMENTS; SANDWICH PLATES; STATIC ANALYSIS; STRESS; THICK; FORMULATION; MODEL; BEAM;
D O I：
10.1016/j.compositesb.2012.01.062
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Bending and and free vibration analysis of multilayered plates and shells by using a new accurate higher order shear deformation theory (HSDT) is presented. It is one of the most accurate HSDT available in the literature, mainly because new non-polynomial shear strain shape functions (combination of exponential and trigonometric) used in the present theory are richer than polynomial functions, and free surface boundary conditions can be guaranteed a priori. The present HSDT is able to reproduce Touratier's HSDT as special case. The governing equations and boundary conditions are derived by employing the principle of virtual work. These equations are then solved via Navier-type, closed form solutions. Bending and dynamic results are presented for cylindrical and spherical shells and plates for simply supported boundary conditions. Panels are subjected to sinusoidal, distributed and point loads. Results are provided for thick to thin as well as shallow and deep shells. The present results are compared with the exact three-dimensional elasticity theory and with several other well-known HSDT theories. The present HSDT is found to be more precise than other several existing ones for analyzing the bending and free vibration of isotropic and multilayered composite shell and plate structures. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：3348 / 3360
页数：13
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