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| Symplectic analysis of vibration characteristics of three dimensional corrugated stretchable structures |
| Received:September 04, 2022 Revised:November 30, 2022 |
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| DOI：10.7511/jslx20220904001 |
| KeyWord:stretchable structure buckling symplectic Runge-Kutta algorithm piezoelectric film |
| Author | Institution |
| 姜宇 |
西北工业大学 工程力学系, 西安 |
| 王博 |
西北工业大学 工程力学系, 西安 ;大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 张博涵 |
西北工业大学 工程力学系, 西安 |
| 陈飙松 |
大连理工大学 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 邓子辰 |
西北工业大学 工程力学系, 西安 |
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| Abstract: |
| Due to its excellent ductility and controllability,mechanically-assembled 3D structures are applied in the fabrication of stretchable electronic devices.In order to evaluate the stability of these stretchable electronic devices,the vibration behaviour of 3D corrugated stretchable structures is studied.Firstly,based on the nonlinear Euler-Bernoulli beam theory and Kelvin-Voigt viscoelastic theory,and considering the surface effect of the piezoelectric materials,the theoretical model of the 3D corrugated structure is established.Using the energy method and the extended Lagrange equation,the dynamic governing equations of the 3D stretchable structure are derived and these equations are solved by the symplectic Runge-Kutta method.The advantages of the symplectic algorithm are verified by numerical simulation experiments.The results show that by modulating the external excitation and structural parameters of the 3D stretchable piezoelectric structure,the vibration characteristics of this structure will transform from period doubling to chaos.The conclusions obtained in this paper will provide theoretical guidance for the optimal design and application of the 3D stretchable structures. |
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