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The viscoelastic damping treatment is a very popular method for attenuating vibration and noise problems. It provides the designer much flexibility in adjusting the system damping to eliminate resonances in the structures. A survey of the previous research on material damping models found inadequacies in developing the numerical models of multiple-layer constrained layers and the introduction of the combination of different viscoelastic damping materials through advanced frequency domain damping models. In this paper, a detailed numerical analysis and design of a multiple-layer constrained damping structure using the Biot damping model are presented to investigate the vibration performance. The nonlinear curve fitting of the complex shear modulus and the transient response solution of the numerical viscoelastic damping structure are also discussed. By the proposed approach, the simple beam problem that is presented can be easily extended to the industrial problem with arbitrary geometries and boundary conditions. The validation of this numerical approach is proven by comparison with the previous closed-form results. [ABSTRACT FROM AUTHOR]

An analytical formulation Is presented for predicting the stiffness and damping of constrained layered beams that have multiple viscoelastic damping layers. A model is derived for symmetrical setups using variational methods. The equations to evaluate the stiffness and damping are derived in closed form and can be evaluated for different boundary conditions. The complex modulus approach is used to model the elastic and shear moduli of the viscoelastic material. A parametric analysis has been conducted to study the effects of different parameters on the damping and stiffness of the system under simply supported boundary conditions. The optimization process to obtain structural and material parameters maximizing system damping for a given temperature and frequency range is also presented. [ABSTRACT FROM AUTHOR]