A finite element model for static and dynamic analysis of thin-walled beams with asymmetric cross-sections
| Autor: | Bozhen Chen, Xianding Jin, Yuren Hu |
|---|---|
| Rok vydání: | 1996 |
| Předmět: |
Differential equation
Mechanical Engineering Numerical analysis Mathematical analysis Torsion (mechanics) Geometry Mass matrix Finite element method Computer Science Applications Physics::Fluid Dynamics Modeling and Simulation General Materials Science Beam (structure) Civil and Structural Engineering Extended finite element method Stiffness matrix Mathematics |
| Zdroj: | Computers & Structures. 61:897-908 |
| ISSN: | 0045-7949 |
| DOI: | 10.1016/0045-7949(96)00058-2 |
| Popis: | The fourth order governing differential equations for thin-walled beams with asymmetric cross-sections under coupled bending and torsion are derived in this paper. The stiffness matrix and the consistent mass matrix of a thin-walled beam element with an asymmetric cross-section is established by using the homogeneous solutions to the fourth order governing differential equations as interpolation functions between the degrees of freedom at each node of the element. The shear effect and the coupling between bending and torsion are fully taken into account in the finite element model developed in this paper. This model can be used in static and dynamic analysis of the thin-walled beams with asymmetric cross-sections. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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