摘要
提出了一个具有裂缝梁的阻尼分析模型用于含裂缝梁类结构的稳态振动响应分析,阻尼是由于裂缝表面在裂缝张开、闭合过程中相互发生磨擦引起的.该模型包含梁的几何特性边界条件、裂缝位置、裂缝深度等各种因素的影响.通过和单自由度线性弹簧-质量-阻尼系统进行比较,得到该带裂缝梁结构的等效自然频率和等效粘滞阻尼比.并以两端铰支梁为例,通过数值分析获得其频响特性曲线.并讨论各种参数的影响.
A damping computational model for the beam with crack is proposed in this paper.The damping is due to the slipping between crack surfaces during the open or close.The model considers the effect of the system parameters such as geometry of the beam,support condition,crack position and crack depth,etc.The equivalent viscous damping ratio and the equivalent natural frequency are obtained by comparing the system with a purely linear,spring-mass-damper system of single freedom.Numerical calculations are conducted for simply supported beam.The effects of a variety of parameters on the amplititude-frequency characteristics are analyed.