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Self-oscillating gel period regulation based on numerical continuation method |
Received:July 20, 2022 Revised:September 05, 2022 |
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DOI:10.7511/jslx20220720001 |
KeyWord:oregonator model collocation method differential-algebraic equations limit cycles |
Author | Institution |
柴莘茗 |
昆明理工大学 化工学院, 昆明 |
宗凯强 |
昆明理工大学 化工学院, 昆明 |
翟持 |
昆明理工大学 化工学院, 昆明 |
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Abstract: |
Self-oscillating gels are a class of deformable polymers driven by self-oscillating reactions,which can generate periodic deformation without any external stimulation,and are widely used in the research of biomimetic creeping robots.The chemical-mechanical relation of self-oscillating gels has always been the focus of research.In this paper,based on the mechanical properties of Ru(bpy)3-catalyzed N-isopropylacrylamide (IPAAm) polymer gels and the 3-dimensional Oregonator model of the Belousov-Zhabotinsky reaction,the chemical-mechanical coupling model of the gel was established,and a numerical continuation algorithm was constructed,by which the variation of the self-oscillating gel periodicity with varying parameters is studied.Through the numerical continuation method of differential-algebraic equations constructed in this paper,the limit cycle of self-oscillating gels can be effectively determined,which provides a design basis for the period control of self-oscillating gels. |
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