摘要
研究了夹层圆板的非线性轴对称弯曲问题 ,采用打靶法和解析延拓法对周边滑动固定和周边固定两种边界条件下圆板的弯曲进行求解 ,获得了有意义的数值解 ,并与采用修正迭代法得到的解析解和采用幂级数方法得到的精确解进行了比较 。
The non-linear axisymmetric bending problem for sandwich plates is studied in this paper. The bending for circular plates with clamped moveable and clamped immoveable edge is solved by using shooting method and analytic continuation method and its numerical solution is obtained. The solution obtained by using shooting method in this paper is compared with the analytic solution obtained from the modified iteration method and the exact one obtained from the power series method, which is very satisfactory.
出处
《兰州交通大学学报》
CAS
2001年第6期111-114,共4页
Journal of Lanzhou Jiaotong University
关键词
夹层圆板
非线性
打靶法
数值解
circular sandwich plates
non-linearity
shooting method
numerical solution