Han Liutao, Zhao Shouxing, Zhang Yuefeng, Ge Nan
College of Civil and Architectural Engineering, North China University of Science & Technology, 063210, Tangshan, People's Republic of China.
Hebei Technology Innovation Center of Green Construction for Building Structures, North China University Science & Technology, Tangshan, 063210, People's Republic of China.
Sci Rep. 2026 Jan 30;16(1):6656. doi: 10.1038/s41598-026-37617-5.
Traditional shaft tower structural design methods typically assume a rigid foundation, neglecting the impact of pile-soil-structure interaction (PSSI) on the seismic response analysis. This simplification often results in designs that are either overly conservative or fail to meet safety requirements. Therefore, a thorough study of the seismic response of shaft towers under the influence of these interactions, particularly in terms of inter-story displacement and internal forces, is crucial and significant. Using a substructure analysis method, based on the Winkler foundation beam model and the Penzien concentrated mass model, and integrating three-dimensional wave theory with dynamic foundation half-space theory, a simplified theoretical analysis model for the rigidly connected piled raft foundation shaft tower system was proposed. Moreover, the system’s theoretical equations of motion within the time domain were established, and MATLAB was utilized to develop a solution program using the Runge-Kutta method. Based on this simplified theoretical model and theoretical equations of motion, a comparative analysis between rigidly connected piled raft foundation shaft towers and rigid foundation shaft towers was conducted, using a specific large mine shaft tower structural system as the study subject. A systematic study was performed to explore how different site categories (Types II, III, and IV) and various seismic waves affect the seismic response analysis of shaft towers, revealing the patterns of influence from the PSSI. The results show that, compared to rigid foundation shaft towers, considering these interactions results in enhancement coefficients for inter-story displacement in Types II, III, and IV sites concentrated at 1.31–1.61, 0.89–1.25, and 0.74–0.97, respectively. Due to the differences in site categories of Type II, Type III, and Type IV, the enhancement coefficients for inter-story displacement vary, and the softer the site, the smaller the enhancement coefficient. Since inter-story displacement directly reflects the magnitude of internal forces within structural components, it is recommended that the impact of these interactions be considered in the engineering design and seismic response analysis of rigidly connected piled raft foundation shaft towers.
传统的竖井塔结构设计方法通常假定基础是刚性的，忽略了桩-土-结构相互作用（PSSI）对地震响应分析的影响。这种简化常常导致设计要么过于保守，要么无法满足安全要求。因此，深入研究竖井塔在这些相互作用影响下的地震响应，特别是层间位移和内力方面，至关重要且意义重大。采用子结构分析方法，基于文克尔地基梁模型和彭齐恩集中质量模型，并将三维波动理论与动力地基半空间理论相结合，提出了刚性连接桩筏基础竖井塔系统的简化理论分析模型。此外，建立了该系统在时域内的理论运动方程，并利用MATLAB采用龙格-库塔方法开发了求解程序。基于此简化理论模型和理论运动方程，以某大型矿井竖井塔结构系统为研究对象，对刚性连接桩筏基础竖井塔和刚性基础竖井塔进行了对比分析。系统研究了不同场地类别（II类、III类和IV类）以及各种地震波对竖井塔地震响应分析的影响，揭示了PSSI的影响规律。结果表明，与刚性基础竖井塔相比，考虑这些相互作用时，II类、III类和IV类场地中层间位移的增大系数分别集中在1.31 - 1.61、0.89 - 1.25和0.74 - 0.97。由于II类、III类和IV类场地类别的差异，层间位移的增大系数各不相同，场地越软，增大系数越小。由于层间位移直接反映了结构构件内力的大小，建议在刚性连接桩筏基础竖井塔的工程设计和地震响应分析中考虑这些相互作用的影响。
