梁的动力学的最小值原理及其应用

首先推导了在轴向力和横向力联合作用下，梁的经典理论中关于动力学的两个最小转换能量原理。接着引进了相容机函数的集合，推导了在原空间时间域的两个最小值原理。所提供的泛函均是适用于（广义）固支、（广义）简支和自由等常见边界条件和初始条件的统一表达式。最后利用其中的一个原理求解了运动梁的挠度

Minimum Principles of Dynamics for Beam and Its Application

In the present paper, we first present a derivation of the pair of minimum transformed energy principles. Then by the introduction of the set of admissible weight functions the two minimum principles for the original place time domain are derived. The functions presented are the general expressions with the usual boundary conditions relating (in a broad sense) built in ends, hinged ends and free ends and intial conditions. Lastly the deflection for beam in motion is given using one of the preceding minimum transformed principles.