Nonlinear dynamic analysis of a quarter vehicle system with external periodic excitation |
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| Institution: | 1. Department of Mathematics G. Castelnuovo, Sapienza Roma University, Roma, Italy;2. In Unam Sapientiam, Roma, Italy;3. IAPS, Istituto Nazionale di Astrofisica INAF, Roma, Italy;4. IASF, Istituto Nazionale di Astrofisica INAF, Palermo, Italy;5. INFN, Sezione Roma1, Roma, Italy;1. School of Civil Engineering, Chongqing University, Chongqing, 400030, China;2. College of Civil Engineering, Hunan University, Changsha, Hunan, 410082, China;3. Key Laboratory for Wind and Bridge Engineering of Hunan Province, College of Civil Engineering, Hunan University, Changsha, Hunan, 410082, China;1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;2. Department of Mechanics, Shanghai University, Shanghai 200444, China;3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China |
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| Abstract: | In this paper, a nonlinear dynamic model of a quarter vehicle with nonlinear spring and damping is established. The dynamic characteristics of the vehicle system with external periodic excitation are theoretically investigated by the incremental harmonic balance method and Newmark method, and the accuracy of the incremental harmonic balance method is verified by comparing with the result of Newmark method. The influences of the damping coefficient, excitation amplitude and excitation frequency on the dynamic responses are analyzed. The results show that the vibration behaviors of the vehicle system can be control by adjusting appropriately system parameters with the damping coefficient, excitation amplitude and excitation frequency. The multi-valued properties, spur-harmonic response and hardening type nonlinear behavior are revealed in the presented amplitude-frequency curves. With the changing parameters, the transformation of chaotic motion, quasi-periodic motion and periodic motion is also observed. The conclusions can provide some available evidences for the design and improvement of the vehicle system. |
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| Keywords: | Vehicle model Suspension system Incremental harmonic balance method Nonlinear dynamics |
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