干摩擦阻尼振动的佯谬及其理论分析  

The paradox of damped vibration under dry friction and its theoretical analysis

作　　者：邵贵成[1] 

机构地区：[1]忻州师范学院物理系,山西忻州034000

出　　处：《辽宁师范大学学报（自然科学版）》2010年第3期321-324,共4页Journal of Liaoning Normal University:Natural Science Edition

基　　金：山西省教育厅2009年普通本科高等教育教学改革研究项目([2009]44号-292);山西省教育科学"十一五"规划2009年度课题(GH-09142)

摘　　要：首先给出了只受干摩擦作用的阻尼振动的一个佯谬,然后通过对这种振动的理论分析,说明其数学解的条件,归纳出这种振动规律的位移、速度、能量的一般数学表达式,进一步论述了这种振动所满足的功能关系,并通过位移—时间图像形象地说明了这种振动规律,消除了原来的佯谬.In this article,a paradox on damped vibration which is only acted upon by dry friction is given.Then,after the analysis of damped vibration,we shows the conditions for its mathematical solution and provides the general mathematical expression which is obeyed by the movement,velocity and energy of the damped vibration.The function relationship satisfied by the vibration is also discussed here.Based on movement-time curve,we shows the vibration law and eliminate the original paradox.

关 键 词：干摩擦 阻尼振动 周期 

分 类 号：O322[理学—一般力学与力学基础]