Iwan模型非线性恢复力及能量耗散计算研究  

CALCULATION OF NONLINEAR RESTORING FORCES AND ENERGY DISSIPATION OF IWAN MODEL

作　　者：张相盟[1] 王本利[1] 卫洪涛[1] 

机构地区：[1]哈尔滨工业大学卫星技术研究所,哈尔滨150080

出　　处：《工程力学》2012年第11期33-39,共7页Engineering Mechanics

基　　金：国防预研项目(4132002031)

摘　　要：广泛应用于装配结构中的螺栓连接会对整个结构的动力响应产生显著的影响,可见,研究这类连接部位的动力学行为具有重要的意义。该文对描述此类连接形式的动力学行为的Iwan模型进行了深入的研究。首先推导了当构成模型的Jenkins单元的屈服力满足均匀分布的情况下,Iwan模型分别处于局部滑移和整体滑移运动时的描述模型恢复力的分段非线性函数,并对其进行了归一化处理;接着在其基础上,推导了在这两类滑移运动中,模型周期能量耗散的归一化计算公式;最后还进一步对修正Iwan模型进行了研究。研究成果为研究装配结构的结构阻尼和非线性动力学行为奠定了基础。Bolted joints, which are wildly used in assembly structures, have the significant effect on the dynamic responses of an entire structure. So it is of great significance to study the dynamic behaviors of the joints. Iwan model, which is just an effective model can represent the significant dynamic behaviors of such joints, is thoroughly studied in this paper. The piecewise nonlinear functions of restoring forces of the model in both cases of microslip and macroslip are first derived and normalized when the yield force of the Jenkins elements, which constructed the model, follow a uniform distribution. Based on these functions, the normalized expressions of energy dissipation per cycle of the model are then derived in the cases of microslip and macroslip. Finally, an adjusted Iwan model is also studied. The results of the present study lay a foundation for the future study of the structural damping and dynamic behaviors of the assembly structures.

关 键 词：螺栓连接 Iwan模型 局部滑移 整体滑移 恢复力 分段非线性函数 能量耗散 

分 类 号：O322[理学—一般力学与力学基础] TH113[理学—力学]