Effects of residual stress and viscous and hysteretic dampings on the stability of a spinning micro-shaft

作     者：A.A.MONAJEMI M.MOHAMMADIMEHR A.A.MONAJEMI;M.MOHAMMADIMEHR

作者机构：Department of Solid MechanicsFaculty of Mechanical EngineeringUniversity of KashanKashan 87317-53153Iran 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2020年第41卷第8期

页      面：1251-1268页

核心收录：

学科分类：08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 080102[工学-固体力学] 

基　　金：supported by the Iranian Nanotechnology Development Committee and the University of Kashan(No.682561/18) 

主　　题：residual stress viscous and hysteretic dampings stability spinning microshaft 

摘      要：This study examines the effects of the residual stress and viscous and hysteretic dampings on the vibrational behavior and stability of a spinning Timoshenko micro-shaft.A modified couple stress theory(MCST)is used to elucidate the sizedependency of the micro-shaft spinning stability,and the equations of motion are derived by employing Hamilton’s principle and a spatial beam for spinning ***,a differential quadrature method(DQM)is presented,along with the exact solution for the forward and backward(FW-BW)complex frequencies and normal *** effects of the material length scale parameter(MLSP),the spinning speed,the viscous damping coefficient,the hysteretic damping,and the residual stress on the stability of the spinning micro-shafts are *** results indicate that the MLSP,the internal dampings(viscous and hysteretic),and the residual stress have significant effects on the complex frequency and stability of the spinning ***,it is crucial to take these factors into account while these systems are designed and *** results show that an increase in the MLSP leads to stiffening of the spinning micro-shaft,increases the FW-BW dimensionless complex frequencies of the system,and enhances the stability of the ***,a rise in the tensile residual stresses causes an increase in the FW-BW dimensionless complex frequencies and stability of the micro-shafts,while the opposite is true for the compressive residual *** results of this research can be employed for designing spinning structures and controlling their vibrations,thus forestalling resonance.