Establishment of the Principle of Total Potential Energy with Least Value in Elastic System Dynamics
The principle of total potential energy with least value in elastic system dynamics is established ,based on the principle of total potential energy with stationary value in elastic system dynamics which is drawn from the principle of virtual work and the principle of d’Alembert. It is sufficiency and necessary conditions for the real displacement of the equilibrium system of statics corresponding to dynamics system that total potential energy is the least value in elastic system dynamics.The testify of the principle provide a new method to establish differential equations in elastic system dynamics. Especially for complex system, The method is effective.
R. L. Chen et al., "Establishment of the Principle of Total Potential Energy with Least Value in Elastic System Dynamics", Advanced Materials Research, Vols. 168-170, pp. 2283-2292, 2011