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| Structural damping time domain constitution and its application |
| Revised:September 09, 2002 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20043055 |
| KeyWord:structural damping,three parameters,damping alloy,time domain constitution,finite element method |
| Liu Hongzhao* Yuan Daning Li Dongping Zhang Zhongming |
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| Abstract: |
| As a kind of new structural and functional material, the damping alloy has been applied in many areas. Because the internal damping of damping alloy is high and varies nonlinearly with the vibration frequency, it is difficult to describe its energy dissipation behavior accurately by the viscous damping theory or classical structural damping model with constant loss factor. In this paper, the standard three parameters model of viscoelastic mechanics is introduced as the constitutive equation for damping alloy. Based on the experimental data of energy storage module and loss factor for a specific kind of damping alloy in a given frequency span, these three parameters are confirmed in using an optimization algorithm. The finite element dynamic equations are derived through the established three parameters constitution in integral form and the virtual work principle. The established finite element equations containing convolution integration are transformed into third order ordinary differential equations, and then to be transformed into standard state variable model. Numerical examples are given to show the effectiveness of the present method in studying dynamic characteristics of structure and machines containing damping alloy components. |
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