弹性地基上矩形板弯曲的CC型级数解
CC Series Solution for Bending of Rectangular Plates on Elastic Foundations
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摘要: 本文利用双变量函数的Stockes变换,用CC型级数求弹性地基上矩形板弯曲问题的解析解.以弹性地基上四边自由矩形板中点作用一集中力为例给出数字计算结果.Abstract: The analytical solution for the bending problem of the rectangular plates on an elastic foundation is investigated by using the Stockes' transformation of a double variables function.The numerical results for the rectangular plates with free edges on the elastic foundations under a concentrated force are given in the example.
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Key words:
- elastic foundation /
- rectangular plate /
- Stockes /
- transformation
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[1] 何福保、候宇.矩形板弯曲问题的一般解析解,上海交通大学学报,(5,6)(1990). [2] 张福范,《弹性薄板》,科学出版社,第二板,北京(1984). [3] 候宇、何福保,角点支承正交异性矩形板弯曲的解析解,《工程力学》,北京科学技术出版社(1992). [4] 朱加铭、费纪生、欧贵宝,弹性地基上自由边矩形板弯曲的一个解法,哈尔滨船舶工程学院学报(3)(1990).
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