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�������պ����ѧѧ�� 2005, Vol. 31 Issue (12) :1342-1346    DOI:
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��ģ��������ϵͳ��Taylor����չ����
��־ƽ, ����Ȩ*
�������պ����ѧ ���տ�ѧ�빤��ѧԺ, ���� 100083
Taylor series expansion method for vibration system with fuzzy parameters
Qiu Zhiping, Liu Zhengquan*
School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

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Abstract�� To study the eigenvalues problem of vibration structure with fuzzy parameters, the Taylor series expansion method was proposed. Based on the property of membership level, the uncertain fuzzy parameters were expressed in the interval forms, and accordingly the fuzzy finite element equilibrium equation could be expressed by interval finite element equilibrium equation. The Taylor series expansion method was used to compute the eigenvalues interval sets of interval finite element equilibrium equation for the purpose of calculating the eigenvalues variety range of vibration structure with fuzzy parameters. The fuzzy result sets of eigenvalues could be constructed by interval result sets gained from computing the interval finite element equilibrium equation under every α-level through fuzzy decompose theorem. Consequently the variety range of natural frequencies can be obtained concerning vibration structures with fuzzy parameters and establish the foundation for fuzzy reliability evaluation. A numerical example is considered to illuminate the practicability of the method presented.
Keywords�� Taylor expansion   fuzzy sets   fuzzy finite element method   vibration analysis     
Received 2004-10-13;
Fund:

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About author: ��־ƽ(1962-),��,���ֳ�����,����, zpqiu@buaa.edu.cn.
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��־ƽ, ����Ȩ.��ģ��������ϵͳ��Taylor����չ����[J]  �������պ����ѧѧ��, 2005,V31(12): 1342-1346
Qiu Zhiping, Liu Zhengquan.Taylor series expansion method for vibration system with fuzzy parameters[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2005,V31(12): 1342-1346
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