Volume 30 Issue 07
Jul.  2004
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Qiu Zhiping, Ma Yi, Wang Xiaojunet al. Interval analysis method for vibration of composite laminate with uncertain parameters[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(07): 682-685. (in Chinese)
Citation: Qiu Zhiping, Ma Yi, Wang Xiaojunet al. Interval analysis method for vibration of composite laminate with uncertain parameters[J]. Journal of Beijing University of Aeronautics and Astronautics, 2004, 30(07): 682-685. (in Chinese)

Interval analysis method for vibration of composite laminate with uncertain parameters

  • Received Date: 14 Apr 2003
  • Publish Date: 31 Jul 2004
  • 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.

     

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