확률론 방법에 의한 불규칙 진동 비선형 계의 준선형화

Quasi-linearization of non-linear systems under random vibration by probablistic method

  • 이신영 (군산대학교 기계자동차공학부) ;
  • Lee, Sin-Young ;
  • Cai, G.Q. (Dept. of Mechanical Eng., Florida Atlantic Univ.)
  • 발행 : 2008.11.05

초록

Vibration of a non-linear system under random parametric excitations was evaluated by probablistic methods. The non-linear characteristic terms of a system were quasi-linearized and excitation terms were remained as they were given. An analytical method where the square mean of error was minimized was ysed. An alternative method was an energy method where the damping energy and rstoring energy of the linearized system were equalized to those of the original non-linear system. The numerical results were compared with those obtained by Monte Carlo simulation. The comparison showed the results obtained by Monte Carlo simulation located between those by the analytical method and those by the energy method.

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