LI Xin-bin, HUANG Yong-nian, YANG Ying, HUANG Lin. Critical Damping of the Second-Order Pendulum-Like Systems[J]. Applied Mathematics and Mechanics, 2005, 26(1): 7-15.
Citation: LI Xin-bin, HUANG Yong-nian, YANG Ying, HUANG Lin. Critical Damping of the Second-Order Pendulum-Like Systems[J]. Applied Mathematics and Mechanics, 2005, 26(1): 7-15.

Critical Damping of the Second-Order Pendulum-Like Systems

  • Received Date: 2003-11-15
  • Rev Recd Date: 2004-09-25
  • Publish Date: 2005-01-15
  • First,the properties of solutions of a typical second-order pendulum-like system with a specified nonlinear function were dicussed.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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