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将轨道视为无限长的周期结构,建立车辆轨道垂向耦合模型.使用虚拟激励法将随机的轨道不平顺激励转化为确定性的简谐激励,再用辛数学方法求解轨道结构的频率响应特性和耦合系统的响应功率谱.整个计算模型只有26个自由度,求解过程快速而精确.数值算例中,将该方法与常规有限元方法进行了比较,验证了方法的高效性和正确性,讨论了车辆速度对系统随机响应的影响.
Considering the orbit as an infinite periodic structure, the vertical coupling model of the vehicle’s track is established. The random excitation of the track is transformed into the deterministic harmonic excitation by using the virtual excitation method. The symplectic mathematical method is then used to solve the frequency response of the orbital structure And the response power spectrum of the coupled system.The computational model has only 26 degrees of freedom and the solution process is fast and accurate.In the numerical example, the method is compared with the conventional finite element method to verify the efficiency and correctness of the method, The effect of vehicle speed on the random response of the system is discussed.