Structural Optimization for Buildings under Stochastic Excitations

本提案的目标是定制现代拓扑优化理论和程序，以改进受自然或人为危害引起的随机激励的建筑物的实际设计过程。通过在结构设计过程中考虑随机振动和结构可靠性，该方案旨在为建筑物提供最佳的结构体系。如果理论发展成功，将导致高层建筑的优化设计，在节省建筑材料的同时提供可靠的服务和预期的地震安全。工业合作伙伴将作为项目的顾问，以确定结果与社会相关。该项目侧重于考虑建筑系统动态激励的结构拓扑优化概念。它将为在风和地震荷载引起的随机激励下寻找结构的最佳拓扑结构创建一个新的框架。本文还将研究随机激励对最优拓扑的影响，并寻找有效拓扑优化的等效负载分布。通过将随机振动理论和系统可靠性整合到拓扑优化中，也可以确定离散（梁/柱）单元的最佳拓扑。将开发一个简化的等效静载荷剖面，以方便横向载荷系统的设计。本研究成果将应用于UIUC的课程设置中，并将引入一门新的优化课程。合作项目负责人计划继续参与该机构的现有项目，以吸引来自代表性不足群体的学生。

The goal of this proposal is to tailor modern topology optimization theories and procedures to improve practical design processes of buildings subject to stochastic excitations caused by natural or man-made hazards. By considering random vibrations and structural reliability into the structural design process, the proposal aims to provide optimum structural system for buildings. If successful the theoretical development will lead to optimal design of tall building that saves construction material while providing reliable service and expected safety during earthquake events. The industrial partner will act as advisor to the project to ascertain that the results are relevant to the society.The project focuses on concepts of structural topology optimization considering dynamic excitations for building systems. It will create a new framework for finding optimal topology of structures under stochastic excitations caused by wind and earthquake loadings. It will also investigate influence of stochastic excitations on optimal topology and find equivalent load profiles for efficient topology optimization. By integrating random vibration theory and system reliability into topology optimization, it would be possible to identify optimal topologies for discrete (beam/column) elements as well. A simplified equivalent static load profile will be developed to facilitate design of lateral load systems. Results of this research will be adapted into the curriculum at UIUC, and a new optimization course will be introduced. The Co-PIs plan to continue their involvement in the existing programs at the institution to attract students from underrepresented groups.