在边缘线布载荷作用下开顶扁球壳的非线性稳定问题的奇摄动解
Singular Perturbation Solutions of the Nonlinear Stability of a Truncated Shallow Spherical Shell under Linear Distributed Loads along the Interior Edge
-
Abstract: Using a singular perturbation method, the nonlinear stability of a truncated shallow, spherical shell without a nondeformable rigid body at the center under linear distributed loads along the interior edge is investigated in this paper. When the geometrical parameter k is large, the uniformly valid asymptotic solutions are obtained.
-
Key words:
- shallow shell /
- nonlinear-stability /
- singular perturbation solutions
-
[1] 刘人怀,在内边缘均布力矩作用下中心开孔圆底扁球壳的作线性稳定问题,科学通报,(3)(1965),253-255. [2] Tillman,S.C.,On the buckling behaviour of shallow spherical caps under a uniform pressure load,Int, J, Solids and Structures,6(1)(1970),37-45. [3] 康盛亮,大几何参数的开顶扁球壳的准线性稳定问题的奇摄动解法,同济大学学报,18(4)(1990),477-486 [4] 康盛亮,集中载荷作用下开顶扁球壳的非线性稳定问题的渐近解;应用数学和力学,12(3)(1991),291-302. [5] 江福汝,关干椭圆型方程的奇摄动.复旦学报,(2) (1978), 29-37. [6] 胡海昌,球面扁薄圆壳的跳跃问题,物理学报,10(2) (1954),105-136. [7] R.柯朗、D.希尔伯特、《数华物理方法》,(钱敏等译),科学出版社.北京(1958),95-105. -
点击查看大图
计量
- 文章访问数: 2200
- HTML全文浏览量: 78
- PDF下载量: 608
- 被引次数: 0
下载:
