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Two degree-of-freedom oscillator coupled to a non-ideal source |
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| Institution: | 1. Obuda University, Budapest, Hungary;2. University of Novi Sad, Novi Sad, Serbia;3. Remming, Novi Sad, Serbia;1. French Naval Academy, EA 3634 IRENav, 29240 Brest, France;2. University of Brest, FRE CNRS 3744 IRDL, 29238 Brest, France;3. Shanghai Maritime University, 201306 Shanghai, China;1. Astani Department of Civil and Environmental Engineering, University of Southern California, 3620 South Vermont Avenue, Los Angeles, CA 90089, USA;2. Department of Structural and Geotechnical Engineering, Sapienza University of Rome, Rome 00184, Italy;1. State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha 410082, China;2. School of Aerospace, Mechanical and Mechatronic Engineering, The University of Sydney, Sydney, NSW 2006, Australia;3. Mechanical Engineering, Wayne State University, Detroit, MI 48202, USA |
| Abstract: | In the paper the one-mass two degree-of-freedom system with non-ideal excitation is considered. The resonance motion of the system is investigated. The mathematical model of the system contains three coupled second order differential equations. In the paper an analytical solving procedure is developed. The steady-state motion and the criteria for stability of solutions are developed. Two special cases of motion depending on the frequency properties of the system are studied. When the frequency properties in both orthogonal direction are equal there is only one resonance. If the frequency in one direction is two times higher than in other two different resonances occur: one in x and the other in y direction. The conditions for jump phenomena and for Sommerfeld effect are presented. The analytically obtained solutions are compared with numerical ones. They show good agreement. |
| Keywords: | Non-ideal two degree-of-freedom system Resonant motion Sommerfeld effect |
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