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应用二阶中心差分公式,建立了任意支承的Euler梁的差分离散系统,导出了与之等效的弹簧_质点_刚杆模型.利用振荡矩阵理论,证明了上述系统的刚度矩阵的符号振荡性,完整的导出了正系统的充分必要条件.
The second order central difference formula is used to establish the differential discrete system of Euler beam with arbitrary support and the equivalent spring-mass-rigid-rod model is derived.Using the oscillation matrix theory, it is proved that the sign oscillation of the stiffness matrix of the above system , A complete system of positive and negative derivation of the necessary and sufficient conditions.