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四周弹性支承矩形板的解析分析
引用本文:何春保,蔡健.四周弹性支承矩形板的解析分析[J].广东工业大学学报,2006,23(1):25-30,46.
作者姓名:何春保  蔡健
作者单位:华南理工大学,土木工程系,广东,广州,510640
摘    要:用叠加法研究了矩形板在四周弹性支承下的解析解,推导出各种边界条件下矩形板的解的统一表达式,通过四周弹性支承梁与板在边界的位移和转角协调,得到弹性支承矩形板的解析解,并且可以改变梁的刚度EI与GIt,得出荷载作用下各种边界条件下的矩形板的解.最后对结果的准确性进行了验证.

关 键 词:矩形板  广义位移  边界条件  解析解
文章编号:1007-7162(2006)01-0025-06
收稿时间:2004-11-01
修稿时间:2004-11-01

Elastic Analysis of Rectangle Thin Plate Constrained with Beams
HE Chun-bao,CAI Jian.Elastic Analysis of Rectangle Thin Plate Constrained with Beams[J].Journal of Guangdong University of Technology,2006,23(1):25-30,46.
Authors:HE Chun-bao  CAI Jian
Affiliation:Dept. of Civil Engineering, South China University of Technology, Guangzhou 510641, China
Abstract:In order to study the analytic solution of four sides elastic-supported rectangular thin plate, the analytic solution expression of various boundary conditions of rectangle thin plate is written out through principle of superposition. With the displacement and rotation compatible analysis of edge beam and rectangle thin plate, the analytic solution has been obtained. Through altering the value of EI and GIt, the solution of rectangle thin plate with various boundary conditions in the loading condition of any local even force could be obtained. And at last the accuracy of computational results is demonstrated.
Keywords:rectangle thin plate  general displacement  boundary condition  analytic solution
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