摘要
在干摩擦阻尼结构摩擦减振分析中,用偏微分方程建立的微滑移模型比用常微分方程建立的微滑移模型多考虑了形变和时域上位移变化影响,更加贴合实际情况,计算结果也更加精确。但是偏微分方程的引入,使得方程求解成为了一个难点。笔者对一维、二维双曲偏微分方程使用不同差分格式得到的解的图形进行了直观的比较,在相同的网格密度和边界条件基础上,根据位移峰值附近解的平滑度以及计算时常选出适合用来解决摩擦减振计算问题的差分格式。
In the analysis of friction damping of dry friction damping structure,the micro-slip model built with partial differential equation considers the effect of deformation and response in time domain.Therefore,it is more practical and accurate.However,the introduction of partial differential equations makes solution difficult.We compare graphs obtained from difference schemes in one and two dimensional hyperbolic partial differential equations,and select the scheme suitable for calculating the friction damping according to the solution smoothness around the peak of displacement and the calculating time on the basis of the same grid density and boundary condition.
出处
《机械科学与技术》
CSCD
北大核心
2010年第12期1669-1672,共4页
Mechanical Science and Technology for Aerospace Engineering
关键词
双曲线偏微分方程
差分格式
MATLAB
dimensional hyperbola partial differential equations
difference scheme
Matlab
