罗建辉, 刘光栋, 龙驭球. 一种建立分区变分原理的新方法[J]. 工程力学, 2002, 19(5): 29-35.
引用本文: 罗建辉, 刘光栋, 龙驭球. 一种建立分区变分原理的新方法[J]. 工程力学, 2002, 19(5): 29-35.
LUO Jian-hui, LIU Guang-dong, LONG Yu-qiu. A NEW METHOD FOR ESTABLISHING PARTITIONED VARIATIONAL PRINCIPLES[J]. Engineering Mechanics, 2002, 19(5): 29-35.
Citation: LUO Jian-hui, LIU Guang-dong, LONG Yu-qiu. A NEW METHOD FOR ESTABLISHING PARTITIONED VARIATIONAL PRINCIPLES[J]. Engineering Mechanics, 2002, 19(5): 29-35.

一种建立分区变分原理的新方法

A NEW METHOD FOR ESTABLISHING PARTITIONED VARIATIONAL PRINCIPLES

  • 摘要: 提出了一种建立弹性理论分区变分原理的新方法。放松了分区交界面上位移、应力连续的条件,证明了弹性理论分区求解体系的微分形式与积分形式的等价关系。本文以微分形式为前提,利用这种等价关系,在统一的构架下,导出了分区广义虚功方程和弹性理论分区变分原理。变分原理是积分形式的一种表现形式。讨论了积分形式的物理含义,提出了广义虚函数的概念。广义虚函数具有任意性、虚拟性。

     

    Abstract: A new method for establishing partitioned variational principles for theory of elasticity is presented. The continuous conditions of displacement and stress on a common boundary between zonings are given up. The equivalence between the differential form and the integral form of the partitioned systematic methodology for theory of elasticity is proved. In a uniform framework partitioned equations of generalized virtual work and partitioned variational principles for theory of elasticity are proved based on differential form by the equivalence. A variational principle is a form to be represented of integral form. Physical interpretation of integral form is discussed. Concepts about generalized virtual functions are proposed. Generalized virtual functions have arbitrary property, virtual property.

     

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