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Interval parameter perturbation method for evaluating the bounds on natural frequencies of structures with interval parameters
Authors:Qiu Zhiping and Gu Yuanxian
Institution:(1) Institute of Solid Mechanics, Beijing Univ. of Aeronautics and Astronautics, 100083 Beijing, China;(2) Research Institute of Engineering Mechanics, Dalian Univ. of Technology, 116023 Dalian, China
Abstract:For structural parameters with uncertainties, interval mathematics can, in the case where the probabilistic distribution density of uncertain variables is unavailable, deal with the influence of uncertainties in structural parameters on the response of structures. In order to evaluate the region containing natural frequencies of structures with interval parameters, the interval parameter perturbation method is presented in this paper. The advantage of the present method is its computational efficiency in evaluating the region containing natural frequencies. A numerical example is used to illustrate the efficiency of the method proposed. The project is supported by National Youth Natural Science Foundation of China and National Outstanding Youth Science Foundation of China.
Keywords:region containing natural frequency  interval mathematics  interval parameter perturbation method
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