Informational Entropy of Structure and Maximum Entropy Principle

Chen Jianjun, Cao Yibo,Duan Baoyan
(School of Electronic Mechanical Engineering, Xidian University, Xi'an 710017)

Abstract: 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.
Keywords: structures, informational entropy, convex set, convex function, maximum entropy principle, digital simulation.