摘要
本文从弹性基(Winkler 模式)上锥壳的 DMV 型位移微分方程组出发,通过引入一个位移函数 U(s,θ,t)(在极限情况下,将退化成 B.3.BπacoB 对于圆柱壳引入的位移函数),将基本微分方程组化成为一个可解偏微分方程.这个方程的精确解用级数形式给出.当固有频率ω=(kg/ρh)^(1/2)时,解用广义超几何函数给出;轴对称问题的解用 Bessel 函数给出.
Starting from the DMV type differential equations of conical shells onthe elastid foundation(Winkler Model),and introducing a H—S dis-placement function U(s,θ,t)(in limited cases,it will be reduced intothe Vlasov'sdisplacement function for the circular cylindrical shells),the differential eguations have been changed into a soluble partialdipperential equatial about U(s,θ,t),its exact solution has beengiven in series form.When the eigenfrequence ω=■,the exact solutionof the equation can be given in generalized hypergeometric function,andthe Solution of axial Symmetry in Bessel functions.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
1989年第1期23-31,共9页
Journal of Lanzhou University(Natural Sciences)
