Exact bending solutions of orthotropic rectangular cantilever thin plates subjected to arbitrary loads

被引:8
作者
Li R. [1 ]
Zhong Y. [1 ]
Tian B. [1 ]
Du J. [2 ]
机构
[1] School of Civil Engineering, Dalian University of Technology, Dalian
[2] Institute of Advanced Manufacturing Technology, Dalian University of Technology, Dalian
关键词
exact solution; finite integral transform; rectangular cantilever thin plate;
D O I
10.1007/s10778-011-0448-z
中图分类号
学科分类号
摘要
Exact bending solutions of orthotropic rectangular cantilever thin plates subjected to arbitrary loads are derived by using a novel double finite integral transform method. Since only the basic elasticity equations for orthotropic thin plates are used, the method presented in this paper eliminates the need to predetermine the deformation function and is hence completely rational thus more accurate than conventional semi-inverse methods, which presents a breakthrough in solving plate bending problems as they have long been bottlenecks in the history of elasticity. Numerical results are presented to demonstrate the validity and accuracy of the approach as compared with those previously reported in the literature © 2011 Springer Science+Business Media, Inc.
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页码:107 / 119
页数:12
相关论文
共 30 条
[1]  
Timoshenko S.P., Woinowsky-Krieger S.W., Theory of Plates and Shells, (1959)
[2]  
Huang M.K., Conway H.D., Bending of a uniformly loaded rectangular plate with two adjacent edges clamped and the others either simply supported or free, J. Appl. Mech., pp. 451-460, (1952)
[3]  
Chang F.V., Bending of uniformly cantilever rectangular plates, Appl. Math. Mech., 1, pp. 371-383, (1980)
[4]  
Chang F.V., Bending of a cantilever rectangular plate loaded discontinuously, Appl. Math. Mech., 2, pp. 403-410, (1981)
[5]  
Chang F.V., Elastic Thin Plates [In Chinese], (1984)
[6]  
Yam G., Using discrete Fourier series to solve boundary-value stress problems for elastic bodies with complex geometry and structure, Int. Appl. Mech., 45, 5, pp. 469-513, (2009)
[7]  
Khalili M.R., Malekzadeh K., Mittal R.K., A new approach to static and dynamic analysis of composite plates with different boundary conditions, Composite Structures, 69, 2, pp. 149-155, (2005)
[8]  
Aya G., Yaremchenko N.P., Stress state of nonthin orthotropic shells with varying thickness and rectangular planform, Int. Appl. Mech., 44, 8, pp. 905-915, (2008)
[9]  
Bespalova E.I., Solving stationary problems for shallow shells by a generalized Kantorovich-Vlasov method, Int. Appl. Mech., 44, 11, pp. 1283-1293, (2008)
[10]  
Holl D.L., Cantilever plate with concentrated edge load, J. Appl. Mech., 4, pp. 8-10, (1937)