铁路高桥墩的非线性动力分析
Study on the Nonlinear Dynamic Behavior of Tall Piers of Railway Bridge
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摘要: 以铁路高桥墩为研究对象,导出了计轴力及内力素方向改变所致非线性项的高桥墩振动偏微分方程。 在分析方程定解条件的基础上,讨论了高桥墩架梁前后的振动频率和墩顶位移的变化规律,并将其结果与线性 结果和非自治系统受迫振动的非线性分析进行了比较。Abstract: The nonlinear partial differential equations forthe tall piervibration of railwaybridges are derived by taking the influence of geometric nonlinearity into consideration, i.e., considering the nonlinear term caused by the direction change in axial forces and internal forces. Based on the analysis of the solution conditions ofthe equations, the vibration frequencies of a tall pierbefore and after erectingthe bridge beam, and the displacement changing pattern of the pier top are discussed. And the obtained results are compared to those by linear analysis and bythe nonlinear analysis of the forced vibration on a non-autonomous system.
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Key words:
- partial differential equations /
- dynamic characteristics /
- tall pier /
- nonlinear analysis
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