量纲方法与Π定理之应用一例——低阻尼RLC电磁振荡周期的二级修正  

An application example of the dimension method and Π-theorem

作　　者：周国全[1,2] 祁宁 潘玮深[1,2] ZHOU Guo-quan;QI Ning;PAN Wei-shen(School of Physics and Technology,Wuhan University,Wuhan,Hubei 430072,China)

机构地区：[1]武汉大学物理科学与技术学院物理系,湖北武汉430072 [2]武汉大学物理科学与技术学院实验中心,湖北武汉430072

出　　处：《大学物理》2018年第9期11-14,16,共5页College Physics

基　　金：高校物理教指委电动力学教学研究项目(JZW-16-DD-15);中央高校教育教学改革专向项目-武汉大学"351人才计划"教学岗位项目资助

摘　　要：将量纲理论中的Π定理结合示波器实验观测,应用于低阻尼度情形RLC电磁振荡的瞬态过程的周期公式相对于理想情形的修正的研究;精确地推导其一级修正系数,并预估其二级修正系数及其量级;所得谐振周期的修正公式,与RLC电磁振荡的微分方程的严格解的近似展开的结果正相吻合,最后阐明了应用量纲方法的一般技巧与原则.The dimension method andΠ-theorem have been associated with experimental measurement to study the period revision for the transient process of a RLC electromagnetic vibration with a low damping degree.The first-order revision coefficient has been measured concretely and calculated accurately;and the second-order revision coefficient has been derived accurately and evaluated.The result is very well coincident with the approximate expansion of the strict vibration-period formula for the RLC transient process with a low damping degree.

关 键 词：量纲方法 Π定理 低阻尼 瞬态过程 

分 类 号：O311.2[理学—一般力学与力学基础]