Multi-dimensional Applications of Performance-based Design in Structural Engineering

In the field of seismic design， performance-based design （PBD） transforms the macroscopic and qualitative seismic fortification objectives of traditional code-based methods into quantitative， multi-level performance objectives. By combining structural response analysis based on numerical simulations with performance assessment and targeted measures， PBD addresses the individualized requirements of seismic design. Beyond seismic design， the PBD philosophy can also be extended to multiple domains， including wind resistance， fire resistance， and vibration control. However， PBD systems in different domains have generally evolved around specific action types or specialized requirements， exhibiting discrepancies in action characterization， analytical methods， and performance indicators. The absence of a unified design framework leads to a certain degree of fragmentation in the design process when addressing multi-objective performance requirements. To address these issues， this paper proposes a PBD framework based on four dimensions： action， space， time， and technology. The action dimension is intended to describe different external action types， such as seismic， wind， vibration， and fire actions， and their intensity levels， and to clarify the performance objectives corresponding to different action conditions. The space dimension defines the mechanism for achieving performance objectives at levels ranging from the overall structure to individual members and joints， and establishes rational mechanical response distributions that satisfy performance requirements. The time dimension accounts for the time dependence and coupling relationships among the action process， structural state evolution， and response development. The technology dimension， given established performance objectives， determines the corresponding implementation pathways in terms of analytical methods and technical measures. Through several practical engineering cases， the application of the four-dimensional PBD framework is examined in four domains： wind resistance， seismic resistance， vibration control， and complex structural design. The results demonstrate that the proposed four-dimensional framework can relatively systematically summarize the core issues addressed by PBD across different domains， establish the intrinsic relationships among external actions， structural systems， performance evolution， and technical implementation， help enhance the systematic nature and feasibility of specialized PBD processes， and provide a reference for the multi-objective PBD of complex structures. For emerging specialized PBD requirements in the future， this framework can be leveraged to decompose design tasks and efficiently organize technical pathways.