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| 基于数值延拓方法的自振荡凝胶周期调控 |
| Self-oscillating gel period regulation based on numerical continuation method |
| 投稿时间：2022-07-20 修订日期：2022-08-27 |
| DOI： |
| 中文关键词: Oregonator模型 配置法 微分代数方程组 极限环 |
| 英文关键词:Oregonator model collocation method differential-algebraic equations limit cycles |
| 基金项目:云南省自然科学基金(202001AU070048) |
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| 摘要点击次数: 289 |
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| 中文摘要: |
| 自振荡凝胶是一类由自振荡反应驱动的高分子形变聚合物,其无需外界刺激就会自发地形成周期性的形变,被广泛运用于仿生蠕动机器人的研究。自振荡凝胶的化学-力学耦合关系一直是研究的重点,本文基于Ru(bpy)3催化N-isopropylacrylamide (IPAAm)高分子凝胶的力学特征及Belousov-Zhabotinsky反应的三维Oregonator模型构造自振荡凝胶的化学-力学耦合动态模型,并构建数值延拓算法研究自振荡凝胶周期性随反应参数、力学参数变化情况。通过本文构建的微分-代数方程组数值延拓方法,可以有效求解自振荡凝胶的极限环,为自振荡凝胶周期调控提供设计基础。 |
| 英文摘要: |
| Self-oscillating gels are a class of deformable polymers driven by self-oscillating reactions, which can form periodic deformations 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, where study on the variation of the self-oscillating gel periodicity with varying parameters and are concentrated. Through the numerical continuation method of differential-algebraic equations constructed in this paper, the limit cycle of self-oscillating gels can be effectively solved, which provides a design basis for the period control of self-oscillating gels. |
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