结构模糊有限元平衡方程的一种新解法*
A New Solution to Structural Fuzzy Finite Element Equilibrium Equations(SFFEEE)
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摘要: 本文将区间数方程组解的定义与结构有限元平衡方程的力学意义结合起来,针对由于材料性能的模糊性、结构边界条件的模糊性和载荷的模糊性而得到的模糊有限元平衡方程组.提出了一种快速而准确的解法,其计算量与普通有限元法几乎相等.Abstract: A speedy accurate solution to structural fuzzy finite element equilibrium equations(SFFEEE), by combining the definition of the solution of interval equations with themechanical meaning of the structural finite element equilibrium equations(SFEEE), wasput forward. The fuzzification of the SFFEEE, which is discussed in this paper, originatesfrom that of material property, structural conditions and external loading. Thecomputing quantity of this solution is almost equal to that of the general finite elementmethod(GFEM).
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Key words:
- finite element equilibrium equations /
- fuzzy numbers /
- intervalequations
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[1] 王彩华、朱恒山,基于L-R型模糊数运算法则的一种结构模糊方程的解法,《模糊分析设计的理论与应用》,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 [2] 禹智涛、吕恩琳、王彩华,结构模糊有限元平衡方程的一种解法,重庆大学学报,19(1)(1996),53-58. [3] D.杜布瓦,H.普哈德著.《模糊集与模糊系统—理论和应用》.江苏省模糊数学专业委员会译,江苏科学技术出版社(1987), 70-76. [4] 王彩华、宋连天主编,《模糊论方法学》,中国建筑工业出版社(1988), 23-26. [5] E. Hansen, Interval arithmetic in matrix computions, Part Ⅰ.SIAM, J.,SeriesB, Numerical Analysis, 2(1965), 308-320. [6] E, Hansen, Interval arithmetic in matrix computions, Part Ⅱ,SIAM.J Series B, Numerical Analysis, 2(1967),1-9. -
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