针对同时含有非线性刚度、非线性阻尼的振动系统，提出了两类参数识别方法。第一类方法是基于非线性振动系统中的振幅跳跃现象，通过跳跃点的测量得出振幅跳跃点的激励频率和幅值，用谐波平衡法识别出非线性振动系统的非线性刚度、非线性阻尼参数。第二类方法是涉及时域响应，通过希尔伯特变换获得非线性系统自由振动的响应幅值和相角，然后结合双非线性振动系统在瞬态激励下的解析解，获得系统的非线性刚度和阻尼。最后以非线性刚度非线性阻尼隔振系统为例，通过数值模拟对给出的两类参数识别方法加以验证，并对结果进行较比，识别参数相吻合。可以为实验条件下，含非线性刚度、非线性阻尼隔振系统的参数识别提供理论指导。
Abstract
Aiming at vibration systems with nonlinear stiffness and nonlinear damping, two parametric identification methods were proposed. The first method was based on vibration amplitude jumping phenomenon in a nonlinear vibration system, the system was excited with a swept-sine excitation, frequency and amplitude of the amplitude-jumping point’s displacement were obtained through measurement, then the harmonic balance method was used to recognize the nonlinear vibration system’s stiffness and damping. The second method was involved in the time domain transient response of a nonlinear system, Hilbert transformation was used to gain the free vibration response’s amplitude and phase angle of the system, then combining with the analytical solution to the system excited with a transient excitation, the system’s nonlinear stiffness and nonlinear damping were recognized. Taking a vibration isolation system with nonlinear stiffness and nonlinear damping as an example, the two methods mentioned above were verified through numerical simulation. It was shown that the parametric recognition results using these two methods agree well each other. The study results provided a theoretical guide for parametric identification of vibration isolation systems with nonlinear stiffness and nonlinear damping.
关键词
参数识别 /
非线性刚度 /
非线性阻尼 /
跳跃现象 /
希尔伯特变换
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Key words
parametric recognition /
nonlinear stiffness /
nonlinear damping /
jumping phenomenon /
Hilbert transformation
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