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所在平台: Udemy |
课程主页: https://www.udemy.com/course/simple-harmonic-motion-and-oscillations/
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**课程名称：** 简谐运动与振动 **课程概述：** 本课程深入探讨了物理学中简谐运动（SHM）这一特殊的周期性运动。简谐运动的特点在于，作用在运动物体上的恢复力与其位移的大小成正比，并且方向指向平衡位置。在没有摩擦或能量耗散的情况下，这种运动会无限持续下去，形成振荡。 简谐运动是一个重要的数学模型，可用于描述多种运动现象，最典型的是在胡克定律的线性弹性恢复力作用下，质量块在弹簧上的振动。该运动在时域上表现为正弦函数，并具有单一的共振频率。 课程还将介绍，简谐运动也可用于模拟其他现象，例如单摆的运动（在小角度摆动时，物体所受合力与位移成正比）。此外，简谐运动也为通过傅里叶分析技术表征更复杂的周期性运动奠定了基础，并可用于模拟分子振动。
In mechanics and physics, simple harmonic motion (sometimes abbreviated SHM) is a special type of periodic motion where the restoring force on the moving object is directly proportional to the magnitude of the object's displacement and acts towards the object's equilibrium position. It results in an oscillation which continues indefinitely, if uninhibited by friction or any other dissipation of energy.Simple harmonic motion can serve as a mathematical model for a variety of motions, but is typified by the oscillation of a mass on a spring when it is subject to the linear elastic restoring force given by Hooke's law. The motion is sinusoidal in time and demonstrates a single resonant frequency. Other phenomena can be modeled by simple harmonic motion, including the motion of a simple pendulum, although for it to be an accurate model, the net force on the object at the end of the pendulum must be proportional to the displacement (and even so, it is only a good approximation when the angle of the swing is small; see small-angle approximation). Simple harmonic motion can also be used to model molecular vibration as well.Simple harmonic motion provides a basis for the characterization of more complicated periodic motion through the techniques of Fourier analysis.
