二八杠规则-二八杠魔术麻将牌

The maths of a photo induced hydrogel swimming robot: nonsmooth forcing dynamics

發布者:文明辦發布時間:2024-04-03瀏覽次數:74

主講人:宣辰 西交利物浦大學副教授


時間:2024年4月7日9:30


地點:三號樓332室


舉辦單位:數理學院


主講人介紹:宣辰,西交利物浦大學副教授,荷蘭烏得勒支大學的客座教授。主要從事多物理場下連續體的本構理論,固體應力誘導相變,智能材料力學和軟體機器人等領域的研究,在相關課題上取得了重要研究成果,目前已在 American Physical Society, International Liquid Crystal Elastomer Conference, British Liquid Crystal Society, ICTAM等國際重要學術期刊上發表論文多篇。


內容介紹:Certain hydrogel is light sensitive, since light provides heat and hydrogel shrinks under high temperature thus making the hydrogel photosensitive. When light shines on the hydrogel, the hydrogel shrinks and as light propagates through the hydrogel shrinks less thus bending towards the light. This hydrogel beam undergoes a vibration, governed by a wave PDE with a second derivative in time and 4th derivative in space coupled with a diffusion equation, a result of a competition between the elasticity of the beam and the photo induced bending. This photo induced vibration enables the hydrogel beam to swim in water. Based on dimensional energy analysis, we determine the stable vibration amplitude and construct phase diagrams for the increase and decrease of the oscillation amplitude, which are further confirmed experimentally. It is found that resonance can occur and damping plays an important role in determining the conditions for resonance. A mass-spring-damper ODE system subjected to a displacement dependent excitation force is developed to investigate the features in generalized self-excited oscillating systems. The prototypical PDEs can be well understood by the above simplified ODE model. This work lays a solid foundation for understanding self-excited oscillation and provides design guidelines for self-sustainable soft robots. It also puts forth another interesting question of whether chaos is involved in future work.

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