Bending of a rectangular plate with rotationally restrained edges under a concentrated force

被引：10
|
作者：
Shi, Wencong [1 ]
Li, X. -F. [1 ]
Wang, C. Y. [2 ,3 ]
机构：
[1] Cent S Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R China
[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA
[3] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 286卷
关键词：
Rectangular plate; Concentrated force; Superposition; Rotationally restrained edge; Corner force; FUNCTIONALLY GRADED PLATES; FREE-VIBRATION;
D O I：
10.1016/j.amc.2016.04.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The bending problem of a rectangular plate with rotationally restrained edges under a concentrated force is studied. An emphasis is placed on the determination of the corner forces and deflection. The problem is solved by superposition of classical Navier's and Levy's solutions. Analytic solutions in terms of series are obtained for RSSS, RRSS and RSRS plates, respectively, where R and S stand for rotational restraint and simple support, respectively. Some important design parameters such as maximum deflection and corner force are evaluated. The effect of edge restraint on these parameters is illustrated. (C) 2016 Elsevier Inc. All rights reserved.
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页码：265 / 278
页数：14
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