双层温克勒地基上双层薄板的弯曲问题

来源期刊：中南大学学报(自然科学版)1997年第4期

论文作者：王嘉新

文章页码：396 - 397

关键词：平板； 弹性基础； 挠曲函数

Key words：rectangular plate； elastic foundations； deflection function

摘    要：对道路建设、机场修筑、地基改建等修复工程中遇到的中间夹有地基构造层的双层薄板弯曲问题，提出一种双层温克勒地基上的双板模型．利用重三角级数求得了该模型的简支矩形双层薄板弯曲问题的精确解．结果表明，板间夹层的弹性特征会减少表层板的挠度值；表板与底板的挠度因夹层的弹性作用而互为耦合．作为特例，能够得出与文献[1]相符合的单层温克勒地基上简支矩形薄板弯曲问题的结果．

Abstract: In this paper, solution of simply supported edges double thin plate on double Winkler foundation is obtained by the two direction trigonometric series as flexual function. The calculation results indicate that two-plate coupling effects correspond to elastic characteristics of foundation. In the limited case, Navier's solution is obtained.