Abstract
First, the properties of solutions of a typical second-order pendulum-like system with a specified nonlinear function were discussed. Then the case with a general form of nonlinearity is considered and its global properties were studied by using the qualitative theory of differential equations. As a result, sufficient conditions for estimating the critical damp are established, which improves the work by Leonov et al.
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Contributed by HUANG Young-nian
Foundation items: the National Natural Science Foundation of China (10272001, 60334030); the Special Foundation for National Key Basic Research Projects (G20000773)
Biography: LI Xin-bin, Doctor, E-mail: lixb@pku.org.cn
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Xin-bin, L., Yong-nian, H., Ying, Y. et al. Critical damping of the second-order pendulum-like systems. Appl Math Mech 26, 7–16 (2005). https://doi.org/10.1007/BF02438359
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DOI: https://doi.org/10.1007/BF02438359