摘要
提出一种基于模型损伤的自适应模型降阶动力分析方法。该方法在动力分析的每个分析步中根据损伤分布和损伤程度自适应地定义和调整模型子区域的缩放属性。针对模型缩小子区域,采用模态综合方法对其进行动力缩聚;针对模型放大子区域,采用精细化单元替换原有单元,最终形成混合坐标空间内的结构运动方程,通过求解缩减自由度之后的运动方程来提高计算效率。最后通过一个20层钢框架来验证该方法的有效性和适用性,数值结果表明,自适应模型缩放动力分析方法能够在满足模拟精度要求的同时,显著地提高非线性动力分析的计算效率。
In this paper, a damage-based adaptive model order reduction method is proposed for nonlinear dynamic analysis. The proposed method define and adjust the zooming property of subdomains adaptively according to the damage distribution. For the zooming-out subdomains, the component mode method is used to make model order reduction. For the zooming-in subdomains, the element substitute technique is used to replace original finite elements with refined finite elements. Eventually, a group of governing equations is formed in hybrid coordinate space, and the dynamic analysis is accelerated by solving such a group of governing equations with reduced DOFs. A 20-story steel frame building is utilized to validate its effectiveness and feasibility. The results show that the adaptive zooming method is able to increase the calculation efficiency dramatically without scarifying simulation accuracy.
作者
方明
王建
李惠
Fang Ming;Wang Jian;Li Hui(Harbin Institute of Technology,Harbin 150000,China)
出处
《土木工程学报》
EI
CSCD
北大核心
2018年第A01期116-121,共6页
China Civil Engineering Journal
基金
国家自然科学基金面上项目(51678210)
关键词
自适应
模型降阶
自由度缩减
混合数值模拟
非线性动力分析
adaptive method
model order reduction
reduced DOF
hybrid simulation
nonlinear dynamic analysis
