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| Nonlinear analysis method for frame structure with no consideration of geometric stiffness |
| Received:January 14, 2024 Revised:March 22, 2024 |
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| DOI：10.7511/jslx20240114002 |
| KeyWord:frame structure geometric nonlinearity material nonlinearity rigid body rule refined plastic hinge |
| Author | Institution |
| 陈安全 |
内江师范学院 建筑工程学院, 内江 ;内江市智能建造与建筑工业化工程技术研究中心, 内江 |
| 林航葳 |
内江师范学院 建筑工程学院, 内江 |
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| Abstract: |
| Based on the mechanical mechanism of incremental iteration,the characteristics of predictor,corrector and equilibrium check are analyzed in detail.Combined with the rigid body rule,an accurate formula for calculating the recovery force of element nodes in nonlinear analysis of frame structures is established.Meanwhile,a refined plastic hinge model is utilized to construct the elasto-plastic beam element and derive the elasto-plastic stiffness matrix,and the nonlinear analysis method for frame structures with a clear physical concept and simple process is established.Through the analysis of typical cases,it is demonstrated that using only elastic stiffness or elasto-plastic stiffness can address the nonlinear response of the frame structure even without considering the geometric stiffness.The only sacrifice is to slightly increase the number of iterations in the numerical calculation.The result proves the reliability of the proposed method,which is the application of elastic stiffness and elasto-plastic stiffness of frame structures in nonlinear capacity and post-buckling analysis. |
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