六自由度飞射物三维运动轨迹模拟及误差分析  

THREE-DIMENSIONAL TRAJECTORY SIMULATION AND ERROR ANALYSIS OF 6-DOF WINDBORNE DEBRIS

作　　者：冀骁文 徐大炜 赵衍刚 黄国庆 JI Xiao-wen;XU Da-wei;ZHAO Yan-gang;HUANG Guo-qing(Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education,Beijing University of Technology,Beijing 100124,China;School of Civil Engineering,Chongqing University,Chongqing 400045,China)

机构地区：[1]北京工业大学城市与工程安全减灾教育部重点实验室,北京100124 [2]重庆大学土木工程学院,重庆400045

出　　处：《工程力学》2025年第3期90-99,共10页Engineering Mechanics

基　　金：国家自然科学基金项目(52278135,52178456,51908014);高等学校学科创新引智计划项目(D21001)。

摘　　要：强风环境中飞射物对房屋围护结构的撞击破坏是引发连锁性和区域性灾害的主要原因之一,知悉飞射物在强风中的运动轨迹对于防灾减灾有着重要意义。该文以常见的六自由度飞射物作为研究对象,展示了其三维运动轨迹的理论模型,分别介绍了用于求解模型的改进欧拉法和四阶龙格库塔法,基于新西兰奥克兰大学风洞试验室数据库,对比研究数值算法效果,并分析不同因素对运动轨迹模拟精度的影响。研究发现:采用四阶龙格库塔法模拟运动轨迹更加精准且高效,并且揭示了飞射物飞行能力和外形对模拟误差的影响规律,在此基础上提出了步长取值建议函数。In strong winds,impact of windborne debris on building envelope is a main reason that be responsible for chain-like and regional disasters.Accurately understanding the trajectory of windborne debris is crucial for disaster prevention and mitigation.This paper focuses on the common six degree-of-freedom(6-DOF)windborne debris and introduces a theoretical model of the three-dimensional(3D)trajectory.The improved Euler and 4th-order Runge-Kutta methods are respectively presented for solving the trajectory model.Using the data from the Wind Tunnel Laboratory at the University of Auckland,two numerical algorithms are compared and the influence of different factors on trajectory simulation is analyzed.It is found that using the 4th-order Runge-Kutta method can simulate the trajectory of windborne debris more accurately and efficiently.The influence of the flight potential and aerodynamic configuration of the windborne debris on trajectory simulation is revealed,based on which the time step suggestion function is proposed.

关 键 词：飞射物 三维运动轨迹 刚体运动 龙格库塔法 误差分析 

分 类 号：TU13[建筑科学—建筑理论]