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《Journal of Beijing University of Aeronautics and Astronautics》 2007-09
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Parallel solution of upper and lower bounds on eigenvalues for uncertain structures

Zhang Xu Qiu Zhiping Hu Juxi(School of Aeronautic Science and Engineering,Beijing University of Aeronautics and Astronautics,Beijing 100083,China)  
When the structure parameter contains uncertain information and uncertain features in the practice engineering,the inherent frequency of the structure is also uncertain.Then the generalized solution method of the interval eigenvalue problem that for the uncertain dynamic structure need to be considered.Based on the Deif′s solution theorem for standard interval eigenvalue problem,and through the interval analysis,the upper and lower bounds of the structure eigenvalues could be transformed into two generalized eigenvalue problems to deal.For avoiding the disadvantages of the interval vertex solution method of the structure eigenvalues,such as large calculation and much runtime of the vertex solution,the parallel algorithm which could be used in largescale computing was presented.Based on the solution of the parallel analysis,it can be concluded that the parallel algorithms can solve many large scale interval problems which can not be resolved by traditional serial algorithm.
【Fund】: 国家杰出青年科学基金资助项目(10425208);; 航天支撑技术基金资助项目(20032.2BH03)
【CateGory Index】: TB115
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