A new method of formulating the consistent mass matrices for force-based beam elements

Zhan Xuan Zuo; Shuang Li; Chang Hai Zhai; Li Li Xie

doi:10.7511/jslx201305026

A new method of formulating the consistent mass matrices for force-based beam elements

Zhan Xuan Zuo
, Shuang Li^*
, Chang Hai Zhai
, Li Li Xie

^*Corresponding author for this work

School of Civil Engineering, Harbin Institute of Technology
China Earthquake Administration

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The displacement-based beam elements can not effectively describe the internal displacement field for variable cross-section beams. The only method to solve this problem is to use more elements, which will increase the computational cost. Force -based beam elements, which use the force interpolation functions and can get the accurate displacement interpolation functions, have advantages of dealing with the variable cross-section beams and have higher accuracy than the displacement-based beam elements. This paper derives the consistent mass matrices considering moment of inertia and shear deformation. The accuracy and efficiency of the mass matrices is verified by numerical examples.

Original language	English
Pages (from-to)	744-748
Number of pages	5
Journal	Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics
Volume	30
Issue number	5
DOIs	https://doi.org/10.7511/jslx201305026
State	Published - Oct 2013
Externally published	Yes

Keywords

Beam elements
Consistent mass matrices
Shear deformation

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10.7511/jslx201305026

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abstract = "The displacement-based beam elements can not effectively describe the internal displacement field for variable cross-section beams. The only method to solve this problem is to use more elements, which will increase the computational cost. Force -based beam elements, which use the force interpolation functions and can get the accurate displacement interpolation functions, have advantages of dealing with the variable cross-section beams and have higher accuracy than the displacement-based beam elements. This paper derives the consistent mass matrices considering moment of inertia and shear deformation. The accuracy and efficiency of the mass matrices is verified by numerical examples.",

keywords = "Beam elements, Consistent mass matrices, Shear deformation",

author = "Zuo, \{Zhan Xuan\} and Shuang Li and Zhai, \{Chang Hai\} and Xie, \{Li Li\}",

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T1 - A new method of formulating the consistent mass matrices for force-based beam elements

AU - Zuo, Zhan Xuan

AU - Li, Shuang

AU - Zhai, Chang Hai

AU - Xie, Li Li

PY - 2013/10

Y1 - 2013/10

N2 - The displacement-based beam elements can not effectively describe the internal displacement field for variable cross-section beams. The only method to solve this problem is to use more elements, which will increase the computational cost. Force -based beam elements, which use the force interpolation functions and can get the accurate displacement interpolation functions, have advantages of dealing with the variable cross-section beams and have higher accuracy than the displacement-based beam elements. This paper derives the consistent mass matrices considering moment of inertia and shear deformation. The accuracy and efficiency of the mass matrices is verified by numerical examples.

AB - The displacement-based beam elements can not effectively describe the internal displacement field for variable cross-section beams. The only method to solve this problem is to use more elements, which will increase the computational cost. Force -based beam elements, which use the force interpolation functions and can get the accurate displacement interpolation functions, have advantages of dealing with the variable cross-section beams and have higher accuracy than the displacement-based beam elements. This paper derives the consistent mass matrices considering moment of inertia and shear deformation. The accuracy and efficiency of the mass matrices is verified by numerical examples.

KW - Beam elements

KW - Consistent mass matrices

KW - Shear deformation

UR - https://www.scopus.com/pages/publications/84891289706

U2 - 10.7511/jslx201305026

DO - 10.7511/jslx201305026

M3 - 文章

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SN - 1007-4708

VL - 30

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JO - Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics

JF - Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics

IS - 5

ER -

A new method of formulating the consistent mass matrices for force-based beam elements

Abstract

Keywords

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