| 车桥耦合系统的近似解研究 |
| Research of Approximate Solutions for Vehicle bridge Coupled Vibration System |
| 投稿时间：2013-03-28 |
| 中文关键词:非线性振动 SD振子 GSB方法 车桥耦合系统 椭圆积分 |
| 英文关键词:nonlinear oscillation SD oscillator GSB perturbation technique vehicle bridge coupled vibration system elliptic integral |
| 基金项目:国家自然科学基金（11002093 ）；石家庄铁道大学科研启动金（Q21） |
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| 中文摘要: |
| 采用GSB方法研究车桥耦合模型一些特殊情况下的近似解。针对车桥耦合模型，由Lagrange方程得到了变刚度SD振子的动力学方程。利用GSB方法对μ(t)作为常数激励的情况进行讨论，得到了非对称系统的含有完全椭圆积分的二阶近似解表达式。利用Matlab进行数值模拟，并将近似结果与原系统进行比较，发现近似解与原系统十分接近。 |
| 英文摘要: |
| In order to research the approximate solutions for vehicle bridge coupled vibration, we established a vehicle bridge coupled model, and obtained the dynamic equations of the variable stiffness SD oscillator with the Lagrange equation. We discussed the situations that the parameter is a constant excitation by GSB perturbation technique respectively. Finally, we obtained the expression of the second order approximate solution of the asymmetric system which contains the complete elliptic integral. The approximate solution has been compared with the exact solution of original system with the help of MATLAB numerical stimulation tools, and it is found that the result is approximate to the original system. |
| 郭秀英,吴启亮,李海涛.车桥耦合系统的近似解研究[J].石家庄铁道大学学报：自然科学版,2014,(1):1-8. |
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