MA Juan, CHEN Jian-jun, XU Ya-lan, JIANG Tao. Dynamic Characteristic Analysis of Fuzzy Stochastic Truss Structures Based on Fuzzy Factor Method and Random Factor Method[J]. Applied Mathematics and Mechanics, 2006, 27(6): 727-734.
 Citation: MA Juan, CHEN Jian-jun, XU Ya-lan, JIANG Tao. Dynamic Characteristic Analysis of Fuzzy Stochastic Truss Structures Based on Fuzzy Factor Method and Random Factor Method[J]. Applied Mathematics and Mechanics, 2006, 27(6): 727-734.

# Dynamic Characteristic Analysis of Fuzzy Stochastic Truss Structures Based on Fuzzy Factor Method and Random Factor Method

• Rev Recd Date: 2006-01-03
• Publish Date: 2006-06-15
• A new fuzzy stochastic finite element method based on the fuzzy factor method and random factor method is given and the analysis of structural dynamic characteristic for fuzzy stochastic truss structures is presented.Considering the fuzzy randomness of the structural physical parameters and geometric dimensions simultaneously,the structural stiffness and mass matrices were constructed based on the fuzzy factor method and random factor method;from the Rayleigh's quotient of structural vibration,the structural fuzzy random dynamic characteristic was obtained by means of the interval arithmetic;the fuzzy numeric characteristics of dynamic characteristic were then derived by using the random variable's moment function method and algebra synthesis method.Two examples were used to illustrate the validity and rationality of the method given.The advantage of this method is that the effect of the fuzzy randomness of one of the structural parameter on the fuzzy randomness of the dynamic characteristic can be reflected expediently and objectively.
•  [1] ZHAO Lei,CHEN Qiu.Neumann dynamic stochastic finite element method of vibration for structures with stochastic parameters to random excitation[J].Computers & Structures,2000,77(6):651—657. [2] 郭书祥,吕震宙.结构的失效可能度及模糊概率计算方法[J].应用数学和力学,2003,24(3):300—304. [3] 王光远.论不确定性结构力学的进展[J].力学进展,2002,32(2):205—211. [4] 郭书祥,吕震宙.基于可能性理论的结构模糊可靠性方法[J].计算力学学报,2002,19(1):189—193. [5] Rao S S,Cao L.Fuzzy boundary element method for the analysis of imprecisely defined-system[J].AIAA J,2001,39(9):1788—1797. doi: 10.2514/2.1510 [6] 吕震宙,岳珠峰,冯蕴雯.韧脆转变的一种细观随机模糊统计分析[J].应用数学和力学,2003,24(10):1027—1034. [7] 王光远,欧进萍.在地震作用下结构的模糊随机振动[J].力学学报,1988,20(2):173—180. [8] 吕恩琳,钟佑明.模糊密度随机变量的数学描述[J].应用数学和力学,2000,21(8):861—869. [9] 吕恩琳.模糊随机有限元平衡方程的摄动解法[J].应用数学和力学,1997,18(7):631—638. [10] 吕恩琳,钟佑明.模糊概率随机变量[J].应用数学和力学,2003,24(4):434—440. [11] CHEN Jian-jun,CHE Jian-wen,SUN Huai-an,et al.Probabilistic Dynamic analysis of truss structures[J].Structural Engineering and Mechanics,2002,13(2):231—239. [12] GAO Wei,CHEN Jian-jun.Optimal placement of active bars in active vibration control for piezoelectric intelligent truss structures with random parameters [J].Computers & Structures,2003,81(1):53—60. [13] 马娟,陈建军,黄平,等.模糊桁架结构在模糊激励下的动力响应分析[J].力学学报,2005，37(3):378—384. [14] Alefeld G,Claudio D.The basic properties of interval arithmetic, its software realizations and some applications[J].Computers & Structures,1998,67(1/3):3—8. [15] Dubois D,Prade H.Fuzzy Sets and System: Theory and Applications[M].New York:Academic Press,1980.

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