基于信息熵的模糊随机桁架结构动力特性分析  

DYNAMIC CHARACTERISTIC ANALYSIS OF FUZZY RANDOM TRUSS STRUCTURES BASED ON CONCEPTS OF INFORMATION ENTROPY

作　　者：陈建军[1] 李波[1] 梁震涛[1] 马娟[1] 

机构地区：[1]西安电子科技大学机电工程学院,西安710071

出　　处：《机械强度》2005年第3期296-300,共5页Journal of Mechanical Strength

基　　金：陕西省自然科学基金资助项目(D7010418)~~

摘　　要：考虑桁架结构同时具有模糊性和随机性,利用模糊熵和概率熵的概念,将结构的随机性和模糊性统一为结构的模糊性,将模糊随机结构转化为纯粹的模糊结构。利用模糊因子法和区间运算推导出结构固有频率的主值和最大、最小值的计算表达式。通过算例,分析结构物理参数和几何尺寸的模糊随机性对结构固有频率的影响,获得了一些有意义的结论。Considering the fuzziness and the randomness of the truss structures at the same time, using the entropy concept, pure fuzzy dynamic structures are given through transforming the probability to fuzziness. And the numerical characteristics of natural frequency are derived by using the fuzzy factor method and the principles of interval arithmetic. Finally, the influences of the fuzziness and the randomness of the parameters of the structures are studied through an example, and some significant conclusions are obtained.

关 键 词：模糊随机桁架结构 模糊熵 概率熵 模糊因子法 动力特性分析 

分 类 号：TB115[理学—数学]