一种新的子结构边界约束模型修正方法及其应用  

A method for model updating of substructure boundary constraints and its application

作　　者：李世龙[1] 马立元[1] 李永军[1] 崔心瀚[1] 

机构地区：[1]军械工程学院导弹工程系,河北石家庄050003

出　　处：《振动工程学报》2015年第5期730-740,共11页Journal of Vibration Engineering

摘　　要：子结构的边界约束状态不仅反映了其与整体结构的连接关系,而且与整体结构中该连接部位的健康状况紧密相关。为有效识别子结构的边界约束状态,基于交叉模型交叉模态(CMCM)理论,提出一种新的子结构边界约束模型修正方法。以某导弹发射台的局部子结构为对象,建立了子结构的边界约束模型,通过对边界约束刚度矩阵和质量矩阵进行修正,实现子结构边界约束状态的识别。同时,针对实测模态的不完备性以及测量噪声等问题,研究了联合基于摄动力的不完备模态扩充和截断广义奇异值技术(TGSVD)的CMCM病态方程组求解方法。最后,通过发射台局部子结构的数值仿真算例及试验分析,验证了所提方法的有效性。The substructure＇s boundary constraint condition not only reflects its relationship with the overall structure,but also reflects the close relationship with the healthy state of the connection parts.Based on cross-model cross-mode,a new method for model updating of the substructure constraints is proposed in this paper.Taking a local substructure on a certain missile launch platform as the research object,a model is established which is suited to analyze the substructure＇s boundary constraint.Through updating the model with the stiffness matrix and mass matrix of boundary constraint,the boundary constraint condition of the substructure is identified.Meanwhile,aiming to overcome the shortcomings of incompleteness of measured modal data and the measurement noise,a calculation method for ill-condition CMCM equation set is proposed,which is based on incomplete modal expansion method using perturbed force and TGSVD method.Furthermore,a numerical simulation and an experiment study associated with the local substructure of the missile launch platform are conducted to examine the proposed methods.

关 键 词：子结构 模型修正 交叉模型交叉模态 边界约束 模态扩充 

分 类 号：TB123[理学—工程力学] TU311[理学—力学]