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�������պ����ѧѧ�� 2004, Vol. 30 Issue (07) :682-685    DOI:
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Interval analysis method for vibration of composite laminate with uncertain parameters
Qiu Zhiping, Ma Yi, Wang Xiaojun*
School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

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Abstract�� A new method named interval analysis method, which solves the natural frequencies of composite laminate with uncertain parameters, was presented. Based on interval mathematics and Taylor series expansion, interval analysis method simplifies the uncertain parameters to interval vectors so that it can get the intervals within which the response of structure varies when less information of structure is known. The interval analysis method is efficient under the condition that probability approach cannot work because of small samples and spare statistics characteristics. The formulation of natural frequencies of composite laminate using interval analysis method was formulated. Two numerical examples of comparisons between interval analysis method and convex model were given. The results show that the solutions of interval analysis method are sharper than those of convex model.
Keywords�� composite materials   vibration   interval mathematics   uncertain parameters     
Received 2003-04-14;
Fund:

������Ȼ��ѧ����������Ŀ(10172013); ���ջ���������Ŀ(01B51046)

About author: ��־ƽ(1962-),��,���ֳ�����,����, zpqiu@buaa.edu.cn.
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��־ƽ, ��һ, ������.����ȷ�������ĸ��ϲ��ϰ��񶯵� ���������[J]  �������պ����ѧѧ��, 2004,V30(07): 682-685
Qiu Zhiping, Ma Yi, Wang Xiaojun.Interval analysis method for vibration of composite laminate with uncertain parameters[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2004,V30(07): 682-685
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http://bhxb.buaa.edu.cn//CN/     ��     http://bhxb.buaa.edu.cn//CN/Y2004/V30/I07/682
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