Lumped Mass Matrix of Three-Node Beam Element

Abstract:

According to Hamilton theory and the concept of Kinetic energy, lumped mass matrix of three-node beam element based on positional finite element method (FEM) is deduced. By concentrating the mass at the three nodes of beam element, the lumped mass matrix is characterized. When dynamic analysing, lumped mass matrix is simpler and more common than consistent mass matrix because lumped mass matrix is diagonal matrix, and calculation work is less under the same calculation precision.

• Periodical: Advanced Materials Research (Volumes 616-618)
• Pages: 1969-1973
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.616-618.1969
• Online since: December 2012
• Authors: Lv Zhou Ma, Jian Liu, Xiao Dong Jia, Yu Qin Yan
• Keywords: Lumped Mass Matrix, Positional FEM, Three-Node Beam Element

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DOI: 10.1016/j.proeng.2012.01.556