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Indexed by:会议论文

Date of Publication:2009-05-21

Included Journals:EI、CPCI-S、Scopus

Volume:8

Page Number:33-38

Key Words:finite element; brick element; consistent mass matrix; diagonal/lumped mass matrix; higher-order mass matrix; optimal method

Abstract:Several approaches for the construction of mass matrix are studied and a new general method for obtaining high-order accurate mass matrix named Combined Consistent Mass Matrix (CCMM) is proposed. The corresponding variational functional is presented and the optimal meaning of parameter alpha is given. Some other types of higher-order mass matrix are proven to be the special cases that can be obtained from the proposed. method by taking different forms of optimal interpolation function. Numerical examples indicate that the element of this kind have the virtues of high accuracy for eigenvalue problem and the proposed CCMM method for the mass matrix construction can significantly improve the dynamic performance of the element.