超高层框架-核心筒结构温度变形理论计算与预测  

Theoretical calculation and prediction of temperature-induced deformation for super high-rise frame-core tube buildings

作　　者：陈潘 高飞[1] 翁顺[1] 朱宏平[1] CHEN Pan;GAO Fei;WENG Shun;ZHU Hongping(School of Civil and Hydraulic Engineering,Huazhong University of Science and Technology,Wuhan 430074,China)

机构地区：[1]华中科技大学土木与水利工程学院,湖北武汉430074

出　　处：《建筑结构学报》2022年第8期256-265,共10页Journal of Building Structures

基　　金：湖北省自然科学基金项目(2020CFA047)。

摘　　要：超高层建筑的温度变形具有明显的弯曲型特征,随着结构高度的增加,温度变形量会显著增大。考虑常见的超高层框架-核心筒结构,将其等效为多层变截面悬臂柱,推导了截面温度场和核心筒温度应变的理论公式,结合应变与变形的数学关系,建立了截面温度场和温度变形的理论模型,包括温度场-水平变形、温度场-竖向变形和温度场-倾角模型;然后利用偏最小二乘回归法求解未知的温度变形系数,实现了温度变形的计算与预测。以335 m高的武汉长江航运中心结构为数值算例,计算了结构为期一年的温度场和温度变形数据,以此数据为基础,对提出的温度变形理论模型进行了验证。计算结果表明:偏最小二乘回归法能稳定地求解温度变形系数,温度变形回归模型的回归值与基准值吻合较好,最大相对误差和最小相对误差分别为15.10%和3.87%;回归模型预测值与基准值的变化趋势基本一致,最大相对误差和最小相对误差分别为8.49%和4.39%,可以认为截面温度场和核心筒温度变形之间具有明显的线性关系。所提出的方法适用于计算由季节温差和日照温差引起的温度变形。The temperature-induced deformation of super high-rise structures has obvious bending characteristics. As the height of the structure increases, the amount of temperature-induced deformation increases significantly. By simplifying the general super high-rise frame-core tube structure into a multi-story and variable sectional cantilever column model, the theoretical formulas of the sectional temperature field and the temperature-induced strain of the main structure were derived. Combining the mathematical relationship between strain and deformation, the mathematical models of sectional temperature field and temperature-induced deformation were established, including the temperature-induced horizontal deformation, temperature-induced vertical deformation and temperature-induced inclination angle models. Then, calculation and prediction of temperature-induced deformation were realized based on partial least squares(PLS) regression. Taking the 335-meter-high Wuhan Yangtze River Navigation Center as an example, the temperature field and temperature-induced deformation data of the structure for one year were calculated. The proposed mathematical model of the temperature-induced deformation was verified. The calculation results show that PLS method can obtain the temperature-induced deformation coefficients stably. The regression results are in good agreement with the reference value. The maximum relative error and minimum relative error are 15.10% and 3.87%, respectively. The variation trends of predicted value and reference value of regression model are basically consistent, and the maximum relative error and minimum relative error are 8.49% and 4.39%, respectively. It can be considered that there is a good linear relationship between the temperature field and the temperature-induced deformation. The method proposed in this paper can be used to calculate the temperature-induced deformation caused by seasonal temperature difference and solar radiation temperature difference.

关 键 词：超高层 框架-核心筒 温度应变 温度变形 弯曲模式 偏最小二乘回归 

分 类 号：TU973.256[建筑科学—结构工程]