能量原理在动力学分析中的应用

线弹性体中的势能原理和余能原理,只适用于物体或结构在给定约束条件下处于稳定平衡状态情况,而在一般情况下动力学问题不可能存在稳定平衡状态。因此在动力学中怎样应用能量原理是工程技术人员所关注的问题。通过实例,把能量原理巧妙地加以运用,并将势能原理与余能原理进行比较,找出两者的主要区别和联系,从而为工程设计人员提供比较简单的近似算法。

Applications of Energy Principles into Dynamics Analysis

Potential energy principle and complementary energy principle can only be applied when a body or its structure is stably balanced under given constraints.However,there is no absolute stable balance in the study of dynamics.In consequence,the application of energy principles into dynamics is an issue that technicians and engineers have long been in concern.In this paper,we exemplify some applications of energy principles,compare the potential energy principle and complementary energy principle and clarify their main distinctions and relations.Such a study provides engineers with simpler approximate algorithms.