소음진동 (Journal of KSNVE)

한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
권호 표지

종동력을 받는 이중진자의 혼돈운동 연구

Chaotic Behavior of a Double Pendulum Subjected to Follower Force

  • 장안배 (군사과학대학원 무기공학과) ;
  • 이재영 (군사과학대학원 무기공학과)
  • 발행 : 1997.06.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this study, the dynamic instabilities of a nonlinear elastic system subjected to follower forces are investigated. The two-degree-of-freedom double pendulum model with nonlinear geometry, cubic spring, and linear viscous damping is used for the study. The constant, the initial impact forces acting at the end of the model are considered. The chaotic nature of the system is identified using the standard methods, such as time histories, power density spectrum, and Poincare maps. The responses are chaotic and unpredictable due to the sensitivity to initial conditions. The sensitivities to parameters, such as geometric initial imperfections, magnitude of follower force, direction control constant, and viscous damping, etc., are analysed. Dynamic buckling loads are computed for various parameters, where the loads are changed drastically for the small change of parameters.

키워드

참고문헌

  1. Chaotic Vibration Moon, F. C.
  2. Int. J. Non-Linear Mechanics v.18 Chaotic Vibrations of a Beam with Nonlinear Boundary Conditions Moon, F. C.;Shaw, S. T.
  3. ASME J. of Applied Mechanics v.51 Observation and Evolution of Chaos for an Automous Systems Dowell, E. H.
  4. ASME J. of Applied Mechanics Chaotic Response of a 2DOF Elastic-Plastic Beam Model to Short Loadiffng Lee, J.-Y.;Symonds, P. S.;Borino, G.
  5. Int. J. Mech. Sci. v.34 Extended Energy Approach to Chaotic Elastic-Plastic Response to Impulsive Loading Lee, J.-Y.;Symonds, P. S.
  6. ASME J. of Applied Mechanics v.55 Chaotic Motion of an Elastic-Plastic Beam Moon, F. C.;Poddar, B.
  7. ASME J. of Applied Mechanics v.35 On the Stability of Elastic Systems Subjected to Noncon servative Forces Herrmann, G.;Bungay, R. W.
  8. Nonconservative Problems of the Theory of Elastic Stability Bolotin, V. V.
  9. Stability of Elastic Systems Leipholz, H.
  10. 대한기계학회논문집 v.17 로켓 추진력을 받는 외팔보의 동적 안정성에 관한 수치 및 실험적 연구 류봉조
  11. Proc. of Asia-Pacific Vibration Conference '93 Experiments on the Elastic Cantilever Subjected to a Rocket Follower force Kim, I. S.;Park, Y. P.
  12. Computer Methods in Appl. Mech. and Engng. v.95 On the Reliability of Classical Divergence Instability Analysis of Ziegler's Nonconserve Model Kounadis, A. N.;Avraam, T.;Mallis, J.
  13. ASME J. of Applied Mechanics v.59 Chaotic Dynamic of a Quasi-Periodically Forced Beam Yagasaki, K.
  14. ASME J. of Applied Mechanics v.56 Order and Chaos in a Discrete Duffing Oscillator; Implications on Numerical integration Reinhall, P. G.;Caughey, T. K.;Storti, D. W.
  15. AMD v.14 Explicit Integration Stability Analysis of Transient Nonlinear Structural Behavior Belytschko, T.;Holmes, N.;Mullen, R.