2010•Zhendong yu chongjiRequires access

Damping coefficient identification of a non-viscous damping model in Laplace domain

Hongyu Shen, Duan Zhong-dong

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Abstract

Analytical result of structural dynamic response is restricted by selection of damping model.Therefore, the mechanism of damping force and damping parameter identification in a vibrating structure are always an active area of research.Because of the complexity of damping mechanism in structures,the applicability of available damping models is limited.Here,a more general non-viscous damping model,in which the damping force was related to the velocity history, was introduced.By means of a complex modal analysis of the dynamic system with this type of non-viscous damping in Laplace domain,a method for damping coefficient identification was derived.Numerical example showed that the proposed method can effectively identify the damping coefficient in a system with this non-viscous damping model;and the results are consistent with those of the viscous damping model when the non-viscous effect of the structural damping behavior is not significant.

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What this paper is about

Analytical result of structural dynamic response is restricted by selection of damping model.Therefore, the mechanism of damping force and damping parameter identification in a vibrating structure are always an active area of research.Because of the complexity of damping mechanism in structures,the applicability of available damping models is limited.Here,a more general non-viscous damping model,in which the damping force was related to the velocity history, was introduced.By means of a complex modal analysis of the dynamic system with this type of non-viscous damping in Laplace domain,a method for damping coefficient identification was derived.Numerical example showed that the proposed method can effectively identify the damping coefficient in a system with this non-viscous damping model;and the results are consistent with those of the viscous damping model when the non-viscous effect of the structural damping behavior is not significant.

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Available abstract

Analytical result of structural dynamic response is restricted by selection of damping model.Therefore, the mechanism of damping force and damping parameter identification in a vibrating structure are always an active area of research.Because of the complexity of damping mechanism in structures,the applicability of available damping models is limited.Here,a more general non-viscous damping model,in which the damping force was related to the velocity history, was introduced.By means of a complex modal analysis of the dynamic system with this type of non-viscous damping in Laplace domain,a method for damping coefficient identification was derived.Numerical example showed that the proposed method can effectively identify the damping coefficient in a system with this non-viscous damping model;and the results are consistent with those of the viscous damping model when the non-viscous effect of the structural damping behavior is not significant.

Key concepts: Viscous damping, Damping torque, Damping matrix, Laplace transform, Magnetic damping, Damping ratio, Frequency domain, Time domain

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