摘要
根据无网格法和结构动力学的基本理论,推导了基于重构核粒子法的梁和板的动力方程,编程计算了不同边界条件、复杂载荷类型以及存在阻尼的梁和板的位移响应,讨论了罚因子和时间步长对计算精度及效率的影响,并和有限元分析结果进行了比较,结果表明该方法收敛性好、精度高,为结构动力响应分析提供了一种新的数值计算方法。
According to the basic theory of meshless method and structural dynamics, dynamics equations based on Reproducing Kernel Particle Methods for beam and plate were deduced, and the correlative programs were written. The displacement response of damped beam and plate under different boundaries and types of load was computed. The effects of penalty factor and time step on the calculation accuracy and efficiency were discussed, and then these results were compared with finite element analysis results. It shows that this method has a good convergence and accuracy, and a new numerical computation method is presented for structural dynamics response analysis.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2008年第8期900-904,共5页
China Mechanical Engineering
基金
国家自然科学基金资助项目(50475143)
国家重点基础研究发展计划资助项目(2005CB321701)
高等学校博士学科点专项科研基金资助项目(20040530001)
湖南省教育厅优秀青年项目(06QDZ16)
关键词
无网格法
重构核近似
动力分析
位移响应
重构核粒子法
meshless method
reproducing response
reproducing kernel particle methods kernel approximation
dynamics analysis
displacement
