摘要
本文引入了相似非耦联系统和方程的概念。应用加权余量法于相似非耦联方程，建立了金属成形工艺相似非耦联系统的模拟势能原理和模拟余能原理。应用拉氏乘子法，据模拟势能原理和模拟余能原理，导出了广义模拟势能原理和广义模拟余能原理。给出了模拟势能原理的应用。这些模拟变分原理为在几何相似，但边界条件不同和本构关系也不相同的模型体和原型体之间实现力学场量的准确转换奠定了理论基础。
The conceptions of similarly no-coupled system and equations are introduced in this paper. Simulated potential energy principle and simulated complementary energy principle for similarly no-coupled system in metal forming technology are established by applying weighted residual method to the similarly no-coupled equation. Generalized simulated potential energy principle and generalized simulated complements energy principle are derived from the simulated potential energy principle and the simulated complementary energy principle by Lagrange multiplier method. Applications of the simulated potential energy principle are given.These simulated variational principles have laid theoretical foundations for correctly transforming mechanics field quantities of the model into those of the prototype which observes geometrical simulidutes to the model, but has different boundary conditions and constitutive relations from those of the model.
出处
《工程力学》
EI
CSCD
北大核心
1999年第2期52-59,共8页
Engineering Mechanics
基金
塑性成形模拟及模具技术国家重点实验室的资助
关键词
金属成形工艺
相似非耦联系统
模拟变分原理
metal forming technology, similarly no-coupled system, simulated variational principle
