基于精准应力分布的结构多尺度模型界面耦合

崔燕; 陈亮军; 卢伟; 滕军

doi:10.3724/j.gyjzG24032507

基于精准应力分布的结构多尺度模型界面耦合

doi: 10.3724/j.gyjzG24032507

崔燕^1,2,
陈亮军³,
卢伟¹,
滕军¹

1. 哈尔滨工业大学(深圳)土木与环境工程学院, 广东深圳 518055;
2. 深圳市市政设计研究院有限公司, 广东深圳 518029;
3. 金地集团开发管理公司, 广东深圳 518129

详细信息

作者简介:
崔燕，博士后，高级工程师，主要从事结构健康监测、结构多尺度模拟方面的研究。cuiy@szmedi.com.cn

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出版历程
- 收稿日期: 2024-03-25
- 网络出版日期: 2025-06-07
- 刊出日期: 2025-03-20

Interface Coupling for Structural Multi-Scale Modeling Based on Refined Stress Distribution

1. Department of Civil and Environmental Engineering, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, China;
2. Shenzhen Municipal Design &Research Institute Co., Ltd., Shenzhen 518029, China;
3. Gemdale Development Management Co., Shenzhen 518129, China

摘要

摘要: 基于能量守恒的界面耦合法采用了简化的应力分布假设，导致结构多尺度模型在连接界面处应力失真、局部性能分析受影响、结构整体模型可靠性降低。为此，提出连接界面处精准应力分布确定方法，以实现结构多尺度模型在连接界面处的变形协调和应力连续。首先基于能量守恒推导不同尺度单元在连接界面处的多点约束方程；其次，研究应力分布计算模型建立方法和精准应力分布确定方法；然后，运用精准应力分布和单元形函数确定多点约束方程系数矩阵，完成多点约束方程构建，实现多尺度模型中不同维单元耦合；最后，利用所提方法建立多种截面形式的多尺度模型，对比分析基于不同耦合方法的模拟结果。结果表明基于所提方法建立模型的von Mises和位移误差能降至2%以下，计算用时可提高约10%。
- 能量守恒 /
- 精准应力分布 /
- 界面耦合 /
- 结构多尺度模型
Abstract: The simplified assumptions of stress distribution are used in the existing coupling method based on energy conservation， which leads to the stress distortion near the connected interface， influences the performance analysis of the key components， and reduces the reliability of the whole model. Therefore， the establishment method of the refined stress distribution at the connected interface was proposed， in order to realize the deformation coordination and stress continuity at the connected interface of a structural multi-scale mode. Firstly， the multipoint constraint equation required for interface coupling was derived based on the principle of energy conservation； secondly， the establishment method of calculation model and the determination method of the refined stress distribution were studied； thirdly， the coefficient matrix of the multipoint constraint equation was determined by using the refined stress distribution and the selected element shape functions， and then the coupling state of different dimensional elements was realized； finally， the multi-scale models with various cross-section forms were established based on the different coupling methods， the numerical simulation results were compared and analyzed to validate the feasibility and effectiveness of the proposed method， which shown that the von Mises and displacement errors of the model established based on the proposed method could be reduced to below 2%， and the computation time could be improved by approximately 10%.
- energy conservation /
- refined stress distribution /
- interface coupling /
- structural multi-scale model

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参考文献(15)

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