Error analysis and feasibility study of dynamic stiffness matrix-based damping matrix identification

Developing a method to formulate a damping matrix that represents the actual spatial distribution and mechanism of damping of the dynamic system has been an elusive goal. The dynamic stiffness matrix (DSM)-based damping identification method proposed by Lee and Kim is attractive and promising because it identifies the damping matrix from the measured DSM without relying on any unfounded assumptions. However, in ensuing works it was found that damping matrices identified from the method had unexpected forms and showed traces of large variance errors. The causes and possible remedies of the problem Lire sought for in this work. The variance and leakage errors are identified as the major sources of the problem, which Lire then related to system parameters through numerical and experimental simulations. An improved experimental procedure is developed to reduce the effect of these errors in order to make the DSM-based damping identification method a practical option.
Journal of Sound and Vibration


Direct identification and expansion of damping matrix for experimental-analytical hybrid modeling
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The theory of direct experimental identification of damping matrix based on the dynamic stiffness matrix (DSM) method is further developed in this work. Based on the relationship between the DSMs of the smaller experimental model and larger analytical model, the mathematical relationship between the damping matrices of the two models is established. Examining the relationship, two methods are developed that can be used to expand the experimental damping matrix to the size of the analytical model. Validity o...
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Citation Formats
G. O. Özgen, “Error analysis and feasibility study of dynamic stiffness matrix-based damping matrix identification,” Journal of Sound and Vibration, pp. 60–83, 2009, Accessed: 00, 2020. [Online]. Available: