Performance-Based Optimization: A Review

Abstract

ABSTRACT:The performance-based optimization (PBO) method has recently been developed for topology design of continuum structures with stress, displacement and mean compliance constraints. The PBO method incorporates the finite element analysis, modern structural optimization theory and performance-based design concepts into a single scheme to automatically generate optimal designs of continuum structures. Performance indices are used to monitor the performance optimization history of topologies while performance-based optimality criteria are employed to identify the optimum from the optimization process. The performance characteristics of a structure in an optimization process are fully captured. The PBO technique allows the designer to tailor the design to a specific performance level required by the owner. This paper reviews the state-of-the-art development of automated performance-based optimal design techniques for topology design of continuum structures.Several practical design examples are provided to demonstrate the effectiveness and validity of the PBO technology as an advanced design tool.

Motion-Based Design of Passive Damping Devices to Mitigate Wind-Induced Vibrations in Stay Cables

“…The design of the passive damping devices can be performed via the implementation of the motion-based design method [22,23]. This method is a particular case of the more general performance-based design method [42] in which the design requirements are defined in terms of the allowable motions of the structure. According to this method, the design problem is transformed into an optimization problem [43].…”

Motion-Based Design of Active Tuned Mass Dampers to Control Pedestrian-Induced Vibrations in Footbridges Under Uncertainty Conditions

“…Figure 2 shows the general layout of the feedback controller considered. The implementation of this feedback controller allows modifying the system equation as follows: (13) where and are obtained from equation 9considering as pattern load vectors and respectively. Thus, according to the feedback controller (Figure 2), the driving force, , may be determined in terms of a gain matrix, , and the state vector, .…”

“…The aforementioned control algorithm has been hybridized with the motion-based design method under uncertain conditions [8] to improve the performance of the design process of active damping devices. The performance-based design method [13] transforms the design problem into two coupled sub-problems: (i) a multi-objective optimization sub-problem; and (ii) a reliability analysis sub-problem. Thus, the main objective of this design problem is to determine the parameters of the ATMD that, minimizing its cost, ensures the compliance of the design requirements [2].…”

“…; and the damping ratio of the ATMD is set as, . In this manner, the formulation of the motion-based design method under uncertainty conditions for this particular problem can be formulated as follows: Subsequently, in order to solve this optimization problem, global optimization algorithms are normally employed due to their good efficiency to find optimum solutions in nonlinear optimization problems [13]. Among these computational algorithms, a nature-inspired computational algorithm, genetic algorithms, has been considered herein [9].…”

The quest for stiff, strong and tough hybrid materials: an exhaustive exploration

“…However, these optimization approaches are not always robust, and the design space and type of microstructure must be restricted to facilitate convergence. The result may also 'fall' into local optima, occluding potentially interesting designs [17,18]. Another possible approach is the so-called 'exhaustive search' or 'brute force' optimization.…”