Identification of linear non-viscous damping with different kernel functions in the time domain

摘要

The non-viscous damping model considers the complete velocity history via a convolution over the kernel functions. In this paper, a procedure is proposed for identifying a damping model involving different kernel functions in the time domain. The method uses responses calculated by the generic time-domain integration with the known mass matrix and the stiffness matrix. The relaxation parameter in the kernel function is identified through a summation of the error function, and the damping coefficient matrix is identified via the linear least squares method. Two examples show that reasonable estimates could be obtained by the proposed method. (C) 2020 Elsevier Ltd. All rights reserved.