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| A new method of formulating the consistent mass matrices for force-based beam elements |
| Received:March 02, 2012 Revised:April 11, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201305026 |
| KeyWord:beam elements shear deformation consistent mass matrices |
| Author | Institution |
| 左占宣 |
哈尔滨工业大学 土木工程学院, 哈尔滨 |
| 李爽 |
哈尔滨工业大学 土木工程学院, 哈尔滨 |
| 翟长海 |
哈尔滨工业大学 土木工程学院, 哈尔滨 |
| 谢礼立 |
哈尔滨工业大学 土木工程学院, 哈尔滨 ;中国地震局 工程力学研究所, 哈尔滨 |
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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. |