应用数学2024，Vol.37Issue(4)：912-923,12.
圆锥连续型水轮混沌旋转的力学机理分析与能量演化研究
Mechanical Mechanism Analysis and Energy Evolution Study of Chaotic Rotation of Conical Continuous Waterwheel
摘要
Abstract
Based on the comparative analysis of the dynamic behavior of the system under di?erent torque coupling modes,This paper discusses the mainin?uencing factors and formation mechanism of chaos in conical continuous waterwheel system,and then explains the mechanical mechanism of chaotic rotation of conical continuous waterwheel.The casimir function is introduced to analyze the dynamic behavior and energy conversion of the mathematical model,and the boundary of chaotic attractor is estimated.The relationship between energy and Rayleigh number is studied.关键词
圆锥连续型水轮/力学机理/Kolmogorov系统/混沌Key words
Conical continuous waterwheel/Dynamical mechanism/Kolmogorov system/Chaos分类
数理科学引用本文复制引用
王贺元,何香红,梅鹏飞..圆锥连续型水轮混沌旋转的力学机理分析与能量演化研究[J].应用数学,2024,37(4):912-923,12.基金项目
国家自然科学基金(11572146) （11572146）
广东科技学院科研基金(GKY-2023KYZDK-14) （GKY-2023KYZDK-14）
广东科技学院博士科研启动基金项目(GKY-2022BSQD-36) （GKY-2022BSQD-36）
