结构动力响应分析的三阶显隐式时程积分方法
发布时间：2018-12-05 15:39
【摘要】：基于泰勒级数展开式提出了一种用于结构动力响应分析的高精度时程积分方法,该方法假设t时刻的速度和加速度由t-Δt时刻、t时刻、t+Δt时刻的速度和加速度加权表示,并可根据求解需要调节权值,将积分算法构造成隐式格式或显式格式。通过理论分析和数值算例,计算讨论了该算法的稳定性和精度,确定了最佳的权值和允许的时间步长。结果表明:本文算法最高具有三阶精度,且具有振幅衰减率低、周期延长率极小等优点。最后结合一个铁道工程实例,表明本文算法适用于大型非线性动态响应的精确快速求解。
[Abstract]:Based on Taylor series expansion, a high precision time-history integral method for structural dynamic response analysis is proposed. The method assumes that the velocity and acceleration of t time are weighted by the velocity and acceleration of t- 螖 t moment, t time, t 螖 t moment, and t 螖 t moment. The integral algorithm can be constructed into an implicit scheme or an explicit scheme according to the need to adjust the weight value of the solution. Through theoretical analysis and numerical examples, the stability and accuracy of the algorithm are discussed, and the optimal weight and the allowable time step are determined. The results show that the algorithm has the highest third-order accuracy, and has the advantages of low amplitude attenuation rate and minimal period extension rate. Finally, an example of railway engineering shows that the proposed algorithm is suitable for the accurate and fast solution of large nonlinear dynamic responses.
【作者单位】： 湖南大学汽车车身先进设计制造国家重点实验室;
【基金】：国家自然科学基金(U1234208) 牵引动力国家重点实验室开放课题(TPL1310)
【分类号】：O302;O241.8
本文编号：2365268
[Abstract]:Based on Taylor series expansion, a high precision time-history integral method for structural dynamic response analysis is proposed. The method assumes that the velocity and acceleration of t time are weighted by the velocity and acceleration of t- 螖 t moment, t time, t 螖 t moment, and t 螖 t moment. The integral algorithm can be constructed into an implicit scheme or an explicit scheme according to the need to adjust the weight value of the solution. Through theoretical analysis and numerical examples, the stability and accuracy of the algorithm are discussed, and the optimal weight and the allowable time step are determined. The results show that the algorithm has the highest third-order accuracy, and has the advantages of low amplitude attenuation rate and minimal period extension rate. Finally, an example of railway engineering shows that the proposed algorithm is suitable for the accurate and fast solution of large nonlinear dynamic responses.
【作者单位】： 湖南大学汽车车身先进设计制造国家重点实验室;
【基金】：国家自然科学基金(U1234208) 牵引动力国家重点实验室开放课题(TPL1310)
【分类号】：O302;O241.8
【相似文献】
相关期刊论文 前1条
1 李立恒;李宪玄;;动力响应分析中的数值计算方法[J];航空计算技术;1985年02期
，本文编号：2365268
本文链接：https://www.wllwen.com/kejilunwen/lxlw/2365268.html
