Topological optimization design of elevator shaft addition for existing buildings
既有建筑电梯加装井道的拓扑优化设计

摘要

在现有建筑物中加装电梯已成为改善老旧小区与建筑物居民出行条件的重要手段。然而，电梯井道的增加常面临空间、结构与成本等多重挑战。本文主要探讨如何通过拓扑优化技术对既有建筑电梯加装井道进行设计，以实现空间利用最大化、结构安全性与施工经济性的平衡。通过分析建筑物的结构布局、建筑功能需求与电梯井道设计要求，结合拓扑优化理论，提出了一种优化方案，以有效降低加装井道的设计难度与成本。通过数值模拟与案例分析，验证了该方法的可行性与实际应用效果。

Abstract

The addition of elevators to existing buildings has become an important measure to improve the travel conditions of residents in old communities and buildings. However, the addition of elevator shafts often faces multiple challenges such as space constraints, structural issues, and cost limitations. This paper mainly explores how to design the elevator shaft addition for existing buildings using topological optimization technology to achieve a balance between maximum space utilization, structural safety, and construction economy. By analyzing the structural layout of buildings, architectural functional requirements, and elevator shaft design specifications, combined with topological optimization theory, an optimization scheme is proposed to effectively reduce the design difficulty and cost of shaft addition. The feasibility and practical application effect of this method are verified through numerical simulation and case analysis.