The stability of mechanical systems with positional non-conservative forces |
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| Affiliation: | 1. Inter University Accelerator Centre, P.O. Box 10502, New Delhi 110067, India;2. Department of Physics, Panjab University, Chandigarh 160014, India;3. Department of Physics, Kurukshetra University, Kurukshetra 136119, India;4. Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India;1. Department of Mechanical Engineering, The University of Hong Kong, Pokfulam, Hong Kong Special Administrative Region;2. Lab for Aerodynamics and Acoustics, HKU Zhejiang Institute of Research and Innovation, 1623 Dayuan Road, Lin An District, Hangzhou, China;1. Sorbonne Universités, UPMC Univ Paris 06, CNRS UMR 7588, Institut des NanoSciences de Paris, 4 place Jussieu, Paris, France;2. Sorbonne Universités, UPMC Univ Paris 06, CNRS UMR 7190, Institut Jean le Rond d''Alembert, 4 place Jussieu, Paris, France;1. College of Optoelectronic Technology, Chengdu University of Information Technology, Chengdu, Sichuan, 610225, China;2. Department of Physics, Sichuan University, Chengdu, Sichuan, 610064, China;1. School of Aerospace Engineering, Tsinghua University, 100084, Beijing, China;2. Department of Precision Instrument, Tsinghua University, 100084, Beijing, China;3. Department of Basic Science, Aviation University of Air Force, 130022, Changchun, China;4. Denghuohuizhi Inc., 100084, Beijing, China;5. School of Astronautics, Beihang University, 100191, Beijing, China |
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| Abstract: | A classical problem is discussed, namely, the influence of the structure of the applied forces on the stability of the equilibrium position of an autonomous mechanical system. Several propositions extending the Thomson-Tate-Chetayev theorems to systems with non-conservative positional forces are proved. |
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