谐振子与连续弹性介质质元能量特征对比分析  

Contrastive Analysis of Energy Characteristics of Harmonic Oscillator and Continuous Elastic Medium

作　　者：郭彦省[1] 

机构地区：[1]北京工业职业技术学院基础教育学院,北京100042

出　　处：《北京工业职业技术学院学报》2017年第4期52-54,61,共4页Journal of Beijing Polytechnic College

基　　金：2017年北京工业职业技术学院青年基金课题(BGZYKY201752Q)

摘　　要：以连续弹性棒质元和弹簧振子为例,从弹簧振子与弹性棒质元受力分析入手,假设介质连续、均匀、各向同性、无初始应力,依据广义胡克定律和微小形变理论,揭示在连续介质中简谐波传播能量的本质特征与基本规律。通过2种振动对比,深入理解简谐振动和简谐波质元振动的差异。Taking the continuous elastic rod element and the spring vibrator as an example,starting from the analysis of spring force and elastic rod element,assuming that the medium is continuous,uniform,isotropic,without initial stress,according to generalized Hooke＇s law and micro-deformation theory,the essential characteristics and basic laws of harmonic energy in the continuum is revealed. Through the comparison of two kinds of vibration,the difference between simple harmonic vibration and simple harmonic wave is deeply understood.

关 键 词：简谐波 弹性介质 能量特征 谐振动 

分 类 号：O347.4[理学—固体力学]