流体中柔性结构的动力学建模和分析  

Dynamic Modeling and Analysis of Flexible Structures in Fluid

作　　者：郭一凡[1,2,3] 牛小静 Guo Yifan;Niu Xiaojing(State Key Laboratory of Hydroscience and Engineering,Tsinghua University,Beijing 100084,China;Key Laboratory of Hydrosphere Sciences of the Ministry of Water Resources,Tsinghua University,Beijing 100084,China;Department of Hydraulic Engineering,Tsinghua University,Beijing 100084,China)

机构地区：[1]清华大学水圈科学与水利工程全国重点实验室,北京100084 [2]清华大学水利部水圈科学重点实验室,北京100084 [3]清华大学水利水电工程系,北京100084

出　　处：《水动力学研究与进展(A辑)》2024年第6期883-887,共5页Chinese Journal of Hydrodynamics

基　　金：国家重点研发计划课题(2023YFB4203403)。

摘　　要：高空风能是一种储量丰富、分布广泛的清洁能源。系留风筝发电系统具有能够在复杂的风力环境下稳定发电的优势,是高空风力发电领域潜在的技术实现路径。系留风筝为大变形柔性结构,研究其在强动态复杂风场中的动力学行为具有重要意义。该文基于集中质量法结合SPH方法构建了大变形柔性结构的动力学仿真模型,通过分布式粒子弹簧模拟布料和柔性结构的力学特性,模化流体对布料的作用,并对柔性结构在空气动力载荷下的响应进行分析,最后讨论其三维变形规律。运动方程的求解过程采用了Velocity-Verlet积分,保证了模拟过程中结构质点的位置与速度同时具有二阶精度。将该模型应用于自由布料飘落和圆形伞张开过程的初步模拟,展现出了良好的模拟效果,表明其可用于高效模拟大型柔性结构的动力学过程,有助于高空风力发电系统的设计和优化。High-altitude wind energy is a clean energy source with abundant reserves and wide distribution.Tethered kite-based wind power generation systems possess advantages in stable power generation under complex wind conditions,constituting a promising technological pathway in the high-altitude wind power generation field.Tethered kites can serve as large-deformation flexible structures,and investigating their dynamic behaviors in strong,dynamic and complex wind fields is of paramount significance.In this paper,a dynamic simulation model is established for large-deformation flexible structures based on the lumped mass method combined with the Smoothed Particle Hydrodynamics(SPH)method.By simulating the mechanical properties of fabrics and flexible structures using distributed particle-spring models and characterizing the fluid interaction with fabrics,the response of flexible structures under different aerodynamic loads is analyzed,and their three-dimensional deformation patterns are discussed.The motion equations are solved using the Velocity-Verlet integration method,ensuring second-order accuracy in both position and velocity of structural mass points during the simulation process.The model is applied to preliminary simulations of free-falling fabrics and the opening process of circular parachute,demonstrating good simulation results.This model can efficiently simulate the dynamic processes of large-scale flexible structures,aiding in the design and optimization of kite-based high-altitude wind power generation systems.

关 键 词：高空风能 柔性结构 仿真模型 集中质量法 SPH方法 

分 类 号：O351.2[理学—流体力学]