A Domain Decomposition Approach for Vibration Analysis of Joined Structures

Abstract

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 prescribeddisplacement boundaries; then these substructures are further decomposed into regular subdomains to accommodate the computing requirement of highorder 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 leastsquares 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 conicalcylindricalconical 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. Key words：

Key words: domain decomposition, subdomain generalized variational, least-squares weighted residual method, joined structure, vibration analysis

CLC Number:

TH 113
TU 33

QU Ye-Gao, HUA Hong-Xing, MENG Guang, CHEN Yong, LONG Xin-Hua. A Domain Decomposition Approach for Vibration Analysis of Joined Structures[J]. Journal of Shanghai Jiaotong University, 2012, 46(09): 1487-1492.

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