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| Finite element modeling and experimental study of viscoelastic sandwich plate |
| Received:January 18, 2020 Revised:May 27, 2020 |
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| DOI：10.7511/jslx20200118002 |
| KeyWord:viscoelastic sandwich plate viscoelastic material Biot model finite element method vibration characteristics |
| Author | Institution |
| 黄志诚 |
景德镇陶瓷大学 机械电子工程学院, 景德镇 |
| 王兴国 |
景德镇陶瓷大学 机械电子工程学院, 景德镇 |
| 吴南星 |
景德镇陶瓷大学 机械电子工程学院, 景德镇 |
| 褚福磊 |
清华大学 机械工程系, 北京 |
| 罗经 |
北京机械工业自动化研究所有限公司, 北京 |
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| Abstract: |
| The frequency-dependent viscoelastic characteristics of sandwich plates are investigated from finite element analysis,numerical simulation and experimental validation.The core layer of the sandwich plate is a viscoelastic material.The frequency-dependent behavior of the stiffness and damping directly affects the modal frequency and damping of the plate system,and results in complex vibration modes.A third-order seven-parameter Biot model is used to describe the frequency-dependent viscoelastic behavior of viscoelastic materials.A type of three-layer,four-node,and 28-degree-of-freedom sandwich plate element is developed for the sandwich plate structures.Based on the classical plate theory and the Hamiltonian principle,the finite element dynamic equations of the viscoelastic sandwich plates is established.By introducing auxiliary dissipative coordinates,the Biot model and the finite element dynamics model of the viscoelastic sandwich plate are combined,and then converted into a conventional second-order linear system form,which greatly simplifies the process of solving nonlinear vibration characteristics.The first three orders of natural frequency and loss factor are predicted for a viscoelastic sandwich cantilever plate structure,and the numerical simulation results are compared with the experimental results.The results show that they are very close to each other,which illustrates and proves the computational efficiency and accuracy of the finite element model presented here. |
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