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谐振动是最基本、最重要的一种振动。而回复力、惯性是产生谐振动的基本条件。一个系统内存在回复力作用并具一定惯性就有可能产生谐振动,这就是我们常说的谐振动的动力学特征.谐振动的运动学特征可表述为: d~2x/dt~2=-ω~2x 式中的ω通常称之为谐振动的角频率,它的数值取决于系统的弹性和惯性,反映系统振动的周期即T=2π/ω。以下述三例可以看出回复力、惯性和ω之间的内在联系: 一、弹簧振子
Harmonic vibration is the most basic and important vibration. The restoring force and inertia are the basic conditions for generating harmonic vibration. A system in the presence of a restoring force and a certain inertia may produce harmonic vibrations, which is what we often call the dynamic characteristics of harmonic vibration. The kinematic characteristics of harmonic vibration can be expressed as: d~2x/dt~2=- The ω~2x type ω is often referred to as the angular frequency of the harmonic vibration. Its value depends on the system’s elasticity and inertia, and the period of the system vibration is T=2π/ω. The following three cases can be seen in the internal relationship between restoring force, inertia and ω: 1. Spring oscillator