弹簧支撑悬臂梁系统的能量分析  

Energy Analysis of Spring Support Cantilever System

作　　者：刘建林[1] 刘灵灵[2] 

机构地区：[1]清华大学航天航空学院 [2]石家庄铁道学院

出　　处：《华北科技学院学报》2007年第2期64-66,共3页Journal of North China Institute of Science and Technology

摘　　要：为了研究问题的方便,常常选用适当的研究对象来建立系统的能量泛函以运用最小势能原理。通过最小势能原理可以证明,选用不同的研究对象得到的Euler平衡方程以及边界条件完全一样。但是两个系统的平衡状态的能量不同,其差值为弹簧支撑边界所吸收为系统的余能。通过线性弹簧和非线性弹簧支撑的实例进一步验证了此结论。In order to simplify some problems , an appropriate system is often selected to construct an energy functional to apply the prindple of least energy. It is verified in use of the principle of least energy, the same Euler equilibrium equations and boundary conditions are got from different objects. But the energies of the two systems are not equal , and the difference is the complementary energy adsorbed by the boundary of the spring. This conclusion is verified by means of linear and nonlinear spring models.

关 键 词：最小势能原理 Euler平衡方程 线性弹簧 余能 非线性弹簧 

分 类 号：O39[理学—工程力学]