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A Domain Decomposition Approach for Vibration Analysis of Joined Structures |
QU Ye-Gao, HUA Hong-Xing, MENG Guang, CHEN Yong, LONG Xin-Hua |
(State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200240, China) |
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Abstract A domain decomposition approach was proposed for vibration analysis of joined structures with general boundary conditions. The joined structure is preliminarily divided into several substructures along the locations of the junctions and the prescribeddisplacement boundaries; then these substructures are further decomposed into regular subdomains to accommodate the computing requirement of highorder vibration modes. The constraint equations derived from interface continuity conditions between two adjacent subdomains are incorporated into the system energy functional by means of a subdomain generalized variational principle and leastsquares weighted residual method, which involves the reduction of conditional extremum problems to extremum problems without any constraints. To test the convergence, efficiency and accuracy of the present method, a typical joined conicalcylindricalconical shell with ring stiffeners was examined. Numerical solutions for natural frequency and dynamical response of the joined shell were compared with those obtained using the finite element program ANSYS. The present solution is found to be very efficient, robust and accurate.
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Received: 21 October 2011
Published: 28 September 2012
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