CAJ | 학술논문

为了研究激振摆参数振动中非稳定区的幅时特性和幅频特性，采用matelab软件求解激振摆非线性动力学方程。数值解结果表明，小振幅的激励可诱导大的响应———运动失稳、共振发生。激振摆共振条件是激振频率为固有频率的两倍，是否发生共振以及共振的强度与激振信号的初相位无关，初相位的不同仅导致共振的初始时刻不同。激振信号的振幅、激振摆的阻力系数和固有频率对共振的幅时特性都有影响，加大激振振幅和固有频率都可增加共振强度，而阻力系数增加则抑制共振强度，当阻力系数超过临界值时共振被完全抑制。非稳定区的临界频宽与固有频率无关，但与激振信号的振幅和阻力系数有关，它随激振振幅线性增加，但随阻力系数非线性指数减小。研究结果对于了解参数振动的特性以及防治参数共振的危害具有一定的参考作用。
위료연구격진파삼수진동중비은정구적폭시특성화폭빈특성，채용matelab연건구해격진파비선성동역학방정。수치해결과표명，소진폭적격려가유도대적향응———운동실은、공진발생。격진파공진조건시격진빈솔위고유빈솔적량배，시부발생공진이급공진적강도여격진신호적초상위무관，초상위적불동부도치공진적초시시각불동。격진신호적진폭、격진파적조력계수화고유빈솔대공진적폭시특성도유영향，가대격진진폭화고유빈솔도가증가공진강도，이조력계수증가칙억제공진강도，당조력계수초과림계치시공진피완전억제。비은정구적림계빈관여고유빈솔무관，단여격진신호적진폭화조력계수유관，타수격진진폭선성증가，단수조력계수비선성지수감소。연구결과대우료해삼수진동적특성이급방치삼수공진적위해구유일정적삼고작용。
To study the amplitude-time and amplitude-frequency characteristics of parametric vibra-tion in the unstable region, the nonlinear dynamic equations are solved using mate-lab software. The results of the numerical solution showed that the larger response which is the resonance can be in-duced by the smaller excitation. The resonance condition is that exciting frequency is twice as large as inherent frequency. Both the occurrence and the strength of the resonance is independent on the initial phase of the exciting signal. The initial phase only impact on the initial time of resonance. All of the drag coefficient, the exciting amplitude and inherent frequency influenced the amplitude-time characteristic of the resonance. The strength of the resonance can increase with the increase of the exciting amplitude and inherent frequency. The increase of drag coefficient suppresses resonance in-tensity. The resonance is completely suppressed when the drag coefficient exceeds the critical value. Frequency bandwidth of the unstable range is independent from inherent frequency, but it is related to the exciting amplitude and drag coefficient. It is linear increasing with exciting amplitude and nonlinear index decreases with the drag coefficient. It plays a good role in learning parametric vibration properties and preventing and curing natural disasters.