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固支边界的矩形板在横向载荷作用下弯曲问题的解及其应用
Solution of the Lateral Bending Problem of Clamped Plate and Its Application
【摘要】 本文研究了四边固支的矩形板在横向载荷作用下的平衡问题,提出了一种以铁摩辛柯的求解方法为基础,但较为简单的新方法。并将此法应用于各向同性、正交各向异性材料中去,得到了一系列令人满意的计算结果。利用热应力问题与板的横向弯曲之间的相互比拟,借助于本文中求得的正交各向异性板的横向弯曲问题的结果,非常方便地求得了相互比拟的热应力问题的解。
【Abstract】 This paper deals with the lateral bending problem of clamped plate and develops a methodto solve the problem, which is based on but considerably simpler than that developed by Timoshenko;As examples, a series of satisfactory solutions is obtained by using this method. With the help of analogy, thermal stresses in an orthotropic medium can straightforwardly be ob-tained from bending moments in a similar orthotropic plate and vice versa, and numerical solutions ofrectangular plates are listed.
【关键词】 固支;
矩形板;
横向弯曲;
热应力;
比拟;
【Key words】 clamped; rectangular plate; lateral bending; thermal stress; analogy;
【Key words】 clamped; rectangular plate; lateral bending; thermal stress; analogy;
- 【文献出处】 石家庄铁道学院学报 ,Journal of Shijiazhuang Railway Institute , 编辑部邮箱 ,1989年04期
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