结构信息熵与极大熵原理

文中首先从数学上证明了由结构应变能描述的信息熵是定义在凸集上的凸函数；又以静定杆系结构为对象，论证并讨论了极大熵原理。最后通过对静定与静不定杆系结构的数值模拟，揭示了结构的熵函数与杆系截面积之间的关系。

Informational Entropy of Structure and Maximum Entropy Principle

In this paper, it is proved that the informational entropy which described by the structural strain energy is a convex function defined in a convex set. Then, the truss structures are taken as analysis object, the maximum entropy principle is proved and discussed. Finally, by the digital simulating to static determinate and indeterminate truss structures, the relationship between the entropy function of structure and the cross sectional area of bars are revealed.