ABSTRACT
As a kind of special physical model in which the kinematics quantities changes repeatedly, mechanical vibration models can broadly describe many practical phenomena from macro to micro, such as the ups and downs of the waves, earthquakes, the swing of the clock, the beating of the heart, thermal motion of microparticles, etc. The response of any vibration system under specific excitation can be described by the dynamic equation (differential form or integral form) which contains the characteristics of the system itself and the excitation conditions. According to different excitation conditions and response characteristics, the mechanical vibration model can be divided into many subcategories (for example, according to different excitation methods, it can be divided into free vibration, forced vibration and self-excited vibration; according to different response characteristics, it can be divided into periodic vibration and random vibration; according to the mathematical characteristics of the dynamic equation, it can be divided into linear vibration and nonlinear vibration, etc.). The natural frequency determined by the characteristics of the system itself is the research focus of all vibration problems.
