摘要
利用弹性薄板的广义变分原理和双调和方程的特解序列,提出了一种求解圆板混合边值问题的数值方法。最后通过两个实例计算说明该方法的收敛性和可靠性。
By using the generalized variational principles of thin plate bending problem, a numerical method is proposed for a mixed boundary value problem of circular plate. The trial functions are constructed by using the series of particular solutions of the biharmonic equation. Two examples are presented to show the high convergence and reliability of the method.
出处
《航空学报》
EI
CAS
CSCD
北大核心
1993年第9期A529-A532,共4页
Acta Aeronautica et Astronautica Sinica
基金
国家自然科学基金
关键词
广义变分原理
双调和函数
圆板
generalized variational principle, biharmonic function, circular plate, mixed boundary value problem
