非比例阻尼结构参数识别算法的研究

STUDY ON PARAMETER IDENTIFICATION ALGORITHM FOR STRUCTURE WITH NON-PROPORTIONAL DAMPING

在地下结构的地震响应中,无限地基的辐射阻尼起着重要的影响,然而其阻尼形式同结构的比例阻尼假定不同。同样,对于施加隔振、减震措施的建筑结构,其系统阻尼也不再满足比例阻尼假定,在结构参数识别中将阻尼阵假定为与刚度阵形式相似的方法不能反映实际结构参数。从研究结构的阻尼模型发发,引入了节点堆积阻尼,这样形成的阻尼与刚度、质量既有一定的联系,又有一定的独立性。以剪切型结构为例对此做了详细说明,结果表明,引入堆积阻尼后,进行参数识别的结构动力学方程是一个非线性识别问题,在此基础上提出了基于最小二乘平均的非线性迭代识别算法。

A new damping model called accumulated damping model is introduced. The identification methods for structural parameters are studied and it is concluded that in the case of non-proportional damping, the conventional form of damping matrix which is similar to that of stiffness matrix is not reasonable a and a shear-type structure is taken as example for verification and description. As to the structure with Lumped mass matrix, the accumulated damping model, being put together with the mass related damping model is suggested. On this basis, an iterative algorithm is proposed to identify the parameters including the damping modulus and the stiffness matrix.