Bayesian model updating of super high-rise building for construction simulation

Ya-Nan Du, Zhi-Chuan Qin, Cong-Cong Guan, De-Cheng Feng, Gang Wu
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Abstract

A finite element model was established using SAP2000 software for the C1 tower, a super high-rise building in the second phase of the Nanjing Financial City project, and the construction process of the tower was simulated. The C1 tower adopts a frame core tube extension arm and ring truss structure system, with 87 floors above ground and five floors underground. The roof structure has an elevation of 416.6 m. Precise measurements of inter-story compression deformation were conducted using advanced surveying equipment. Sensitivity analysis, based on the finite difference method, identified the shear wall elastic modulus, frame column elastic modulus, steel beam elastic modulus, and shear wall unit weight as four highly influential parameters. Employing the Bayesian principle, the Markov Chain Monte Carlo (MCMC) method was applied to determine the posterior density probability function of the parameters targeted for modification. Subsequently, the Metropolis–Hastings (MH) sampling algorithm was employed to refine the C1 Tower model. This refinement significantly reduced the root mean square error between the measured and simulated vertical displacements, achieving an error reduction of approximately 10% from 6.082 to around 2.160. The modified material parameters, for the most part, adhered to a normal distribution assumption and exhibited mean values in the posterior probability density functions for the elastic modulus of Q345 steel beams, C70 frame columns, and C60 shear walls. Compared to the initial finite element parameters, the variation range was approximately 13% to 17%. These results serve as a validation of the effectiveness of the proposed method.
超高层建筑贝叶斯模型更新施工模拟
利用 SAP2000 软件为南京金融城二期工程中的超高层建筑 C1 塔楼建立了有限元模型,并模拟了塔楼的施工过程。C1 塔楼采用框架核心筒伸臂环桁架结构体系,地上 87 层,地下 5 层。采用先进的测量设备对层间压缩变形进行了精确测量。基于有限差分法的敏感性分析确定了剪力墙弹性模量、框架柱弹性模量、钢梁弹性模量和剪力墙单位重量这四个影响较大的参数。利用贝叶斯原理,采用马尔可夫链蒙特卡罗(MCMC)方法确定了需要修改的目标参数的后验密度概率函数。随后,采用 Metropolis-Hastings (MH) 采样算法完善 C1 塔模型。这一改进大大降低了测量和模拟垂直位移之间的均方根误差,误差从 6.082 降至 2.160 左右,降幅约为 10%。修改后的材料参数大部分符合正态分布假设,并在 Q345 钢梁、C70 框架柱和 C60 剪力墙的弹性模量后验概率密度函数中显示出平均值。与初始有限元参数相比,变化范围约为 13% 至 17%。这些结果验证了建议方法的有效性。
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