摘要
本文从Lame方程出发,选取位移函数,求得垂直荷载作用下简支矩形厚板的完整的应力、位移表达式。与Navier的薄板理论解作了比较。由于没有采用Kirchhoff假定,在薄板范围内,本文解给出了比Navier解精确的结果。
In this paper, the complete expressions of stress and displaeement of thick rectangular plate of simple support subjected to vertical load are derived from Lame Equation by selecting a displacement function. And the comparison of the solution with that of Navier relating to thin plate is also given in this paper. Since the hypothesis of Kirchhoff is not adopted, more accurate result than Navier's is obtained within the range of the thin plate.
出处
《青岛理工大学学报》
CAS
1989年第2期87-94,共8页
Journal of Qingdao University of Technology
关键词
简支矩形厚板
位移函数
Lame方程
thick rectangular plate of simple support
displacement function
Lame equation