热弹性不稳定问题中临界速度的求解  

Solutions of the Critical Velocity in Thermoelastic Instability

作　　者：宋颖辉[1] 奚鹰[1] 华滨滨 陈哲[1] 

机构地区：[1]同济大学机械与能源工程学院,上海201804

出　　处：《机电一体化》2015年第6期59-64,共6页Mechatronics

基　　金：国家自然科学基金(61004077)

摘　　要：为了求解热弹性不稳定问题中的临界速度,以某盘式制动器为例,建立了较为真实的数学模型。采用反对称变形模式,推导出热弹性平衡方程,然后借助MATLAB编程求解该方程,从而得到了制动速度、波数和扰动指数的关系图;考虑非环形闸片对波数取值的限制和临界速度因此而受到的影响,最终求得车轮的临界速度为35.81m/s。探讨了临界速度和扰动指数的增长率对于制动系统的作用,指出了临界速度的大小与扰动指数的增长率并无直接关系。In order to obtain the critical velocity in thermoelastic instability problems,a quite real model has been established based on a certain disk brake,an antisymmetric mode has been utilized and the thermoelastic equilibrium equation has been deduced. Then the equation has been solved out by programming with Mat Lab and the relation of braking velocity,wave number and perturbation exponent has been obtained. The value limits of wave number and critical velocity influenced by the non-annular shape of pad has been considered and eventually the critical velocity of the wheel has been gained—35. 81 m / s. Furthermore,it's indicated that there is not a direct correlation between critical velocity and growth rate of perturbation exponent and the effect of them on braking system has been discussed.

关 键 词：热弹性不稳定 临界速度 盘式制动器 

分 类 号：O343.6[理学—固体力学]