<論文>二次元正弦波励振を受ける剛体プロックのロッキング振動におけるカオス(滑り無しの場合)

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This research concentrates on the influence of nonlinearities associated with impact and sliding for the rocking behavior of rigid block subjected to two dimensional excitation of horizontal and vertical. The nonlinearities examined of impact between block and base: The transition of two governing rocking equations, the abrupt reduction in kinetic energy associated with impact. In this study, the rocking vibration system of two types are considered for several friction condition. One is the undamped rocking vibration system, disregarding energy dissipatin at impact and the other is the damped rocking system, including energy dissipation at impact. The response analysis by nondimensional rocking equation is carried out for the change of excitation parameters. The chaos responses were discovered in the wide response region, particularly, in the case of high vertical excitation and their chaos characteristics are examined by the phase diagrams, Poincare map, power spectra and Lyapunov Exponents. The complex behavior of chaos response, in the phase space, were illustrated by Poincare map. Therefore, Poincare map will be a significant matrial in order to understand chaos of rocking system.
沼津工業高等専門学校の論文
1999-01-29