Perturbational Solutions for Fuzzy-Stochastic Finite Element Equilibrium Equations (FSFEEE)

Lű Enlin

Volume 18 Issue 7

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1997 > 18(7): 631-638

Lű Enlin. Perturbational Solutions for Fuzzy-Stochastic Finite Element Equilibrium Equations (FSFEEE)[J]. Applied Mathematics and Mechanics, 1997, 18(7): 631-638.

Citation:

Lű Enlin. Perturbational Solutions for Fuzzy-Stochastic Finite Element Equilibrium Equations (FSFEEE)[J]. Applied Mathematics and Mechanics, 1997, 18(7): 631-638.

Citation:

Lű Enlin. Perturbational Solutions for Fuzzy-Stochastic Finite Element Equilibrium Equations (FSFEEE)[J]. Applied Mathematics and Mechanics, 1997, 18(7): 631-638.

PDF( 512 KB)

Perturbational Solutions for Fuzzy-Stochastic Finite Element Equilibrium Equations (FSFEEE)

Lű Enlin

Chongqing University, Chongqing 630044, P. R. China

Received Date: 1996-05-20
Publish Date: 1997-07-15

Abstract

Abstract

In this paper. the random interval equilibrium equations (RIEE) is obtained by λ-level cutting the fuzzy-stochastic finite element equilibrium equations (FSFEEE).Based on the relations between the variables of equilibrium equations, solvting RIEE istransformed into solving two kinds of general random equilibrium equaltions (GREE).Then the recursive equations of evaluaing the random interval displacement is derived from the Small-parameter perturbation theory. The computational formulae of statistical characteristic of the fuzzy random displacements, the fuzzy random strains and thefuzzy random stresses are also deduced in detail.
- fuzzy-stochastic finite element,
- equations of interval numbers,
- perturbation theory

FullText(HTML)

References(7)

References

[1]	陈虬、刘先斌,《随机有限无法及其工程应用》,西南交通大学出版社(1993),78-104.
[2]	王彩华、朱恒山,基于L-R型模糊数运算法则为一种结构模糊方程的解法,第三届全国模糊分析设计学术会议论文集,中国建筑工业出版社(1993),35-38.
[3]	王光远、欧进萍,在地震作用下结构的模糊随机振动,力学学报,20(2)(1988),173-180.
[4]	张跃,模糊随机变量,哈尔滨建筑工程学院学报,22(3),(1989),12-21.
[5]	张跃,模糊随机向量,哈尔滨建筑工程学院学报,22(4),(1989),27-41.
[6]	吕恩琳.结构模糊有限元平衡方程的一种新鲜法,应用数学和力学,18(4) (1997),361-366.
[7]	D.Dubois,H.Prade,Fuzzy Sets and System;Theory and Applicatioas,Academic Press,New York (1980).

Relative Articles

[1]	CHANG Long, LIU Quan-sheng, JIAN Yong-jun, Burenmandula, SUN Yan-jun. Oscillating Flow in Annular Microchannels With Sinusoidally Corrugated Walls[J]. Applied Mathematics and Mechanics, 2016, 37(10): 1118-1128. doi: 10.21656/1000-0887.370116
[2]	J.C.Umavathi, J.Prathap Kumar, Jaweriya Sultana. Mixed Convection Flow in a Vertical Channel With Boundary Conditions of the Third Kind in the Presence of Heat Source/Sink[J]. Applied Mathematics and Mechanics, 2012, 33(8): 957-973. doi: 10.3879/j.issn.1000-0887.2012.08.005
[3]	ZHANG Yi-min, ZHU Li-sha, WANG Xin-gang. Advanced Method to Estimate the Reliability-Based Sensitivity of Mechanical Components With Strongly Nonlinear Performance Function[J]. Applied Mathematics and Mechanics, 2010, 31(10): 1256-1266. doi: 10.3879/j.issn.1000-0887.2010.10.013
[4]	ZHU Wei-ping, HUANG Qian. Finite Element Displacement Perturbation Method for Geometric Nonlinear Behaviors of Shells of Revolution Overall Bending in a Meridional Plane and Application toBellows(Ⅱ)[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1241-1254.
[5]	ZHU Wei-ping, HUANG Qian. Finite Element Displacement Perturbation Method for Geometric Nonlinear Behaviors of Shells of Revolution Overall Bending in a Meridional Plane and Application to Bellows(Ⅰ)[J]. Applied Mathematics and Mechanics, 2002, 23(12): 1227-1240.
[6]	LIU Ji-ke, XU Wei-hua, CAI Cheng-wu. A Universal Matrix Perturbation Technique for Complex Modes[J]. Applied Mathematics and Mechanics, 2001, 22(3): 314-320.
[7]	LIU Chang-hong, CHEN Qiu. A Method of Solving the Fuzzy Finite Element Equations in Monosource Fuzzy Numbers[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1147-1150.
[8]	Zhang Shuangyin, Xiong Dianyuan. Crack Propagation in the Power-Law Nonlinear Viscoelastic Material[J]. Applied Mathematics and Mechanics, 1997, 18(11): 993-999.
[9]	Lü Zhenhua. Direct Perturbation Method for Reanalysis of Matrix Singular Value Decomposition[J]. Applied Mathematics and Mechanics, 1997, 18(5): 441-446.
[10]	Lü Enling. A New Solution to Structural Fuzzy Finite Element Equilibrium Equations(SFFEEE)[J]. Applied Mathematics and Mechanics, 1997, 18(4): 361-366.
[11]	Guo Zhi-rong, Yan Zong-yi. The Eccentric Effect of a Coaxial Viscometer[J]. Applied Mathematics and Mechanics, 1995, 16(4): 337-344.
[12]	Jiang Xiao-yu, Zhang Xiang-zhou. Nonlinear Three-Dimension Analysis for Axially Sym-metrical Circular Plates and Multilayered Plates[J]. Applied Mathematics and Mechanics, 1993, 14(8): 715-727.
[13]	Wang Jin-ying, Chen Ke-jin. Vibration Problems of Flexible Circular Plates with Initial Deflection[J]. Applied Mathematics and Mechanics, 1993, 14(2): 165-171.
[14]	Wang Lin-xiang, Wang Xin-zhi, Qiu Ping. Nonsymmetrical Large Deformation Bending Problem of Circular Thin Plates[J]. Applied Mathematics and Mechanics, 1992, 13(12): 1103-1116.
[15]	He Lu-wu, Cheng Chang-jun. A Method of Determining Buckled States of Thin Plates at a Double Eigenvalue[J]. Applied Mathematics and Mechanics, 1992, 13(4): 307-311.
[16]	Zhang Ru-qing, Gao Hang-shan. The Random Variational Principle and Finite Element Method[J]. Applied Mathematics and Mechanics, 1992, 13(5): 383-388.
[17]	Ye Qu-yuan, He You-sheng. Perturbation Solution to the Nonlinear Problem of Oblique Water Exit of an Axisymmetric Body with a Large Exit-Angle[J]. Applied Mathematics and Mechanics, 1991, 12(4): 303-313.
[18]	Dai Shi-qiang. Generalization of the Method of Full Approximation and Its Applications[J]. Applied Mathematics and Mechanics, 1991, 12(3): 237-244.
[19]	Lü Zhen-hua, Feng Zhen-dong. Perturbation Method for Reanalysis of the Matrix Singular Value Decomposition[J]. Applied Mathematics and Mechanics, 1991, 12(7): 661-670.
[20]	Su Xu-min, Zhao Zu-wu. Large Deflection Analysis of Rectangular Plates by Combined Perturbation and Finite Strip Method[J]. Applied Mathematics and Mechanics, 1991, 12(1): 51-54.