Response of a bar constrained by a non-linear spring to a harmonic excitation |
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| Institution: | 1. Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China;2. Hubei Key Laboratory for Engineering Structural Analysis and Safety Assessment, Wuhan 430074, China;3. Department of Mechanical Engineering, Technische Universität Darmstadt, Darmstadt 64293, Germany;1. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai, 200444, China;2. State-owned Machinery Factory in Wuhu, Wuhu 241007, China;3. University of Science and Technology of China, Anhui 230026, China |
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| Abstract: | An analysis is presented of the longitudinal response of a bar constrained by a non-linear spring to a harmonic excitation. The method of multiple scales is used to determine equations describing the evolution of the amplitudes and phases with damping, non-linearity and the cases of primary, subharmonic, superharmonic, combination and ultrasubharmonic resonances. These equations are used to determine the steady state responses and their stability. |
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