钢筋混凝土T梁的谱单元模拟方法研究OA
Spectral element modeling of reinforced concrete T-beams
模型修正是结构损伤识别的一项重要工作,多采用有限元数值模型,但精细化建模往往导致计算效率低下.以钢筋混凝土T梁为研究对象,提出了一种高效的谱单元数值模型.首先利用Hamilton原理推导了位移控制方程组,利用快速傅里叶变换(fast Fourier transform,FFT)将位移场从时域转换到频域,从而建立了谱单元模型,并提出了非线性静力计算框架.为验证模型的有效性,制作了钢筋混凝土T梁试件并开展了静载试验,并开展有限元数值模拟.最后利用谱单元模型作为基准数值模型,开展了基于模型修正的结构损伤识别.结果表明:谱单元模型仅用34个单元便完成了计算,计算效率远高于有限元模型,且精度较高;利用其开展模型修正时,可快速收敛于最终结果.谱单元模型为结构健康监测及损伤识别提供了一种高效可靠的分析手段.
Model updating is a critical task in structural damage identification and is commonly performed using finite element models;however,refined finite element modeling often suffers from low computational efficiency.To address this issue,this paper proposes an efficient spectral element model for reinforced concrete(RC)T-beams.First,the governing displacement equations are derived using Hamilton's principle,and the displacement field is transformed from the time domain to the frequency domain using the fast Fourier transform(FFT).Based on this formulation,a spectral element model for RC T-beams is established,and a nonlinear static analysis framework is developed.To verify the proposed model,experimental tests are conducted on an RC T-beam specimen,and corresponding numerical simulations are performed using a finite element model.Finally,structural damage identification based on model updating is carried out using the proposed spectral element model.The results show that the proposed approach requires only 34 spectral elements to complete the analysis,demonstrating significantly higher computational efficiency than the finite element model while maintaining fast convergence.Overall,the proposed spectral element model provides an efficient and reliable tool for structural health monitoring and damage identification through model updating.
孙瑞;黄寿富;胡峥;刘纲
重庆大学土木工程学院,重庆 400045||重庆大学山地城镇建设与新技术教育部重点实验室,重庆 400045重庆大学土木工程学院,重庆 400045||重庆大学山地城镇建设与新技术教育部重点实验室,重庆 400045重庆大学土木工程学院,重庆 400045||重庆大学山地城镇建设与新技术教育部重点实验室,重庆 400045重庆大学土木工程学院,重庆 400045||重庆大学山地城镇建设与新技术教育部重点实验室,重庆 400045
交通工程
谱单元模型钢筋混凝土T梁模型修正模型试验有限元分析
spectral element modelreinforced concrete T-beammodel updatingexperimental testingfinite element analysis
《重庆大学学报》 2026 (8)
12-22,11
国家自然科学基金项目(52192663,52078084).Supported by National Natural Science Foundation of China(52192663,52078084).
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