자기매계변수 연성을 갖는 응답의 통계적 특성

Stochastic Response of a System with Autoparametric Coupling

  • 조덕상 (영남대학교 공업기술연구소) ;
  • 김영종 (상주대학교 기계공학부)
  • 발행 : 2000.12.01

초록

본 연구에서는 광대역 불규칙가진력을 받는 자기매계변수계의 모드상호작용을 고찰하였다. 고찰대상 모델은 매우 흔한 추조물의 형태인 내부공진을 갖는 자기매계변수 동흡진기이다. Gaussian closure 방법에 의하여 계의 불규칙 응답을 나타내는 통적 모멘트방정식은 1차 및 2차 모멘트로 구성된 자율 상미분방적식으로 줄여진다. 계의 평형해와 평형해의 안정성측면에서 계의 응답이 조사되었다. 참고문헌 [18]과 [20]에서 보고된 발견한 감쇠가 안정성을 축소하기도 한다라는 이 효과는 본 연구에서 발견할 수 없었다. 또한 확정적 비선형계에 존재하는 포화현상은 발견되지 않았다.

The nonlinear modal interaction of an autoparametric system under a broadband random excitation is investigated. The specific system examined is an autoparametric vibration absorber with internal resonance, which is typical of many common structural configurations. By means of Gaussian closure scheme the dynamic moment equations explaining the random responses of the system are reduced to a system of autonomous ordinary differential equations of the first and second moments. In view of equilibrium solutions of this system and their stability we examine the system responses. We could not find the destabilizing effect of damping, which was reported in References (18) and (20). The saturation phenomenon, which is well known in deterministic nonlinear system, did not take place lot this system subject to broadband random excitation.

키워드

참고문헌

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