摘要
本文对中心带轴匀速旋转圆盘在均布压力作用下的受力及变形问题进行了摄动分析,得到了受载条件为时,圆盘应力及形变的渐近解。其形变渐近解为Whittaker函数形式。比较表明,渐近解与Chebyshev数值解有较好的一致性。
In this paper, the problem of a steadily spinning disk under a uniformly distributed pressure is investigated by perturbation method. The asymptotic solutions of stress and deformation under the condition of J_v^2/J_H<<1 are obtained. The asymptotic solution of deformation can be described with whittaker function. Comparison shows that the asymptotic solutions are in good agreement with Chebyshev numerical solutions.
出处
《西安石油学院学报》
1991年第4期16-20,共5页
Journal of Xi'an Petroleum Institute