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| Numerical model of beams with active constrained layer damping |
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| DOI：10.7511/jslx20021021 |
| KeyWord:active constrained layer damping,finite element method,piezoelectricity,viscoelastic material,model reduction |
| Shi Yinming Hua Hongxing Li Zhongfu Fu Zhifang |
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| Abstract: |
| In order to more precisely and perfectly model the active constrained layer damping structures and make good preparations for performing control research, the finite element method is employed. The electromechanical coupling effect of PZT ceramics and the distinguishing feature of the constitute relation of viscoelastic material, which varies with the variety of temperature and frequency, are considered. The finite element method is combined with the GHM model of viscoelastic material so as to transform the nonlinear differential equations, due to the viscoelastic material, to the standard second order time invariant system. This can avoid time consuming iteration and solve the modal frequencies, modal damping ratios and response directly. In order to design a controller, the dynamic condensation is performed in the physical space at first, which results in a reduced order system with suitable size; the robust model reduction method is utilized in succession. The above model reduction process can not only reduce the size of the system greatly but also guarantee the stability, controllability and observability of the final reduced order system. This is especially important for the large space structures with lightweight, large flexibility and close low modal frequencies. |
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