双参数弹性地基上四边自由矩形薄板精确解  

Exact solution of rectangular thin plate on vlazov elastic foundation with four edges free

作　　者：钟阳[1] 田斌[1] 李锐[1] 

机构地区：[1]大连理工大学土木水利学院,大连116024

出　　处：《强度与环境》2009年第5期19-25,共7页Structure & Environment Engineering

摘　　要：将弹性地基视为Vlazov双参数模型,利用二维有限域积分变换的方法推导出了Vlazov双参数弹性地基上四边自由矩形薄板在任意荷载作用下挠度和内力的精确解。在求解过程中,不需要预先人为选取挠度函数,而是直接从弹性薄板的基本方程出发。通过集中荷载计算实例验证了该方法的正确性。该方法计算简便,适用于不同边界的薄板问题求解。The theoretical solution of rectangular thin plate on elastic foundation, regarded as Vlazove two-parameter model, with four edges free under arbitrary load is derived by the double finite integral transform method. Since only the basic elasticity equations of the plate are used and there is no need to preselect the deformation function arbitrarily, the solution method is reasonable and theoretical. In order to prove the correction of formulations, the numerical examples of concentrated loading are presented, The method utilized is simple in calculation and applicable to problems of different boundary conditions.

关 键 词：Vlazov双参数弹性地基 四边自由 任意荷载 矩形薄板 

分 类 号：O343[理学—固体力学]