用伽辽金变分方程推导变分问题的泛函

Functional analysis of variational problem utilizing Galcrkin's variational equation

从一根两端固定受均布载荷直梁的微分方程出发,得到伽辽金变分方程,并从伽辽金变分方程推导出变分问题的泛函,为了证明结果的正确性,又从前面推导所得泛函反推出伽辽金变分方程和微分方程,完成了一个完整的循环,证明了该方法的可行性。

Start from the solution of differential equation of strainght beam with both ends built-in under uniformly-distributed load Galcrkin＇s variational equation is obtained. In addition, based upon this functional of variational problem is deduced. In order to verify the correctness of results method of inversion is used utilizing obtained functional to deduce Galcrkin＇s variational equation and differential equation, which verify the practicability of this method.