简谐振动的仿真与分析  

Simulation and Analysis of Simple Harmonic Vibration

作　　者：高彩云[1] GAO Cai-yun(School of Physics and Electronic Science,Shanxi Datong University,Datong Shanxi,037009)

机构地区：[1]山西大同大学物理与电子科学学院,山西大同037009

出　　处：《山西大同大学学报（自然科学版）》2023年第3期18-22,35,共6页Journal of Shanxi Datong University(Natural Science Edition)

基　　金：山西省教育科学“十四五”规划课题[GH-220550]。

摘　　要：简谐振动是最基本最简单的机械振动。当物体进行简谐振动时,物体所受的力与位移成正比,并且总是指向平衡位置。首先采用Origin软件对质点简谐振动的位移、速度、加速度随时间的变化曲线进行仿真,然后分析了质点振动过程中相轨迹及动能、势能随时间变化的特点及相互转化,最后探讨了两个简谐振动同方向同频率、同方向不同频率和互相垂直三种情况下合振动的特征。为简谐振动的理论分析与实验教学提供便利,引导学生开展探究性学习,加深对简谐振动现象和规律的理解。Simple harmonic vibration is the most basic and simple mechanical vibration.When the object is subject to simple harmonic vibration,the force on the object is proportional to the displacement and always points to the equilibrium position.Firstly the change curve of displacement,velocity and acceleration of particle simple harmonic vibration with time is simulated by using Origin software.Then the characteristics and mutual transformation of phase trajectory,kinetic energy and potential energy with time in the process of particle vibration are analyzed.Finally,the characteristics of the combined vibration of two simple harmonic vibration in the same direction and at the same frequency,the same direction and at different frequencies and mutually perpendicular are discussed.This study provides convenience for theoretical analysis and experimental teaching of simple harmonic vibration,guides students to carry out exploratory study,and deepens the understanding of simple harmonic vibration phenomena and laws.

关 键 词：简谐振动 ORIGIN 仿真 振幅 圆频率 

分 类 号：O411.3[理学—理论物理]