考虑横向剪切效应的悬臂矩形板的弯曲

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基金项目: 兰州大学科学基金资助课题

Bending of Cantilever Rectaugular Plates with the Effect of Transverse Shear Deformation

摘要: 本文以Reissner板理论为基础,利用厚板的广义简支边概念及迭加法,求得了考虑横向剪切效应的悬臂矩形板弯曲的精确解.从所得结果来看,这种方法是有效的.
- Reissner理论 /
- 悬臂矩形板 /
- 对称和非对称弯曲 /
- 广义简支边 /
- 精确解
Abstract: On the basis of Reissner's theory,the exact solutions of the bending of cantilever rectangular plates are obtained by means of the concept of generalized simply-supported boundary.From the results obtained,it can be found that the method is valid.
- Reissner’s theory /
- cantilever rectangular plate /
- symmetrical and asymmetrical bending /
- generalized simply-supported boundary /
- exact solution

[1]	Reissner,E.,The effect of transeverse shear deformation on the bending of elastic plates,J.Appl.Mech.,12(1945),A69-86.
[2]	程昌钧、尚新春,考虑横向剪切效应的矩形板的弯曲.兰州大学学报(自然科学版),18(4)(1982).18-29.
[3]	Cheng Chang-jun and Duan Da-ming,Concept of generalized simply-supported boundary in theory of thick plates,Kexue tongbao,33,6(1988),472-477.
[4]	程昌钧、杨晓,均布载荷作用下三边固定一边悬空的Reissner矩形板的弯曲,应用数学和力学.11(6)(1990).
[5]	张福范,均布载荷作用下悬臂矩形板的弯曲,应用数学和力学,1(3)(1980),349-362.
[6]	张福范,悬臂矩形板的不对称弯曲,固体力学学报,2(1980),170-182.