Topology optimization for braced frames: Combining continuum and beam/column elements

Stromberg, Lauren L.; Beghini, Alessandro; Baker, William F.; Paulino, Gláucio H.

doi:10.1016/j.engstruct.2011.12.034

Cited by 137 publications

(78 citation statements)

References 27 publications

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“…With the same geometric constraints and conditions of Figure 2, the force and form diagrams for the optimal bracing developed in [15] are seen on Figure 6. Figure 6.…”

Section: Regular and Optimal Discrete Bracing Systemsmentioning

confidence: 99%

“…The corresponding strain energy of the proposed distributed bracing compared to that of the standard X-bracing and the optimal discrete bracing introduced in [15] can be seen in Table 1. For a single section of bracing, the distributed bracing saves over 50% of the strain energy compared to standard crossbracing and more than 45% when compared to the bracing of [15].…”

Section: Comparison With Previous Bracing Systemsmentioning

confidence: 99%

“…Assuming that the solution z/h=0.5 ( Figure 2) has a normalized strain energy of 1, the solution z/h=0.75 [15] has a normalized strain energy of 0.93, resulting in 7% of total volumetric savings compared to the X-brace baseline.…”

Section: Regular and Optimal Discrete Bracing Systemsmentioning

confidence: 99%

“…The solution for this problem is covered in [15] (Figure 4). For a cantilevered design space with a top point load to be braced with an X-frame, the optimum topology orientation consists of moving the central node from half the distance of the cantilever height (conventional X-brace) to 3/4 of that height.…”

Section: Regular and Optimal Discrete Bracing Systemsmentioning

confidence: 99%

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An Optimized Bracing System for Distributed Lateral Loads

Jacot¹,

Pagonakis²,

Shope³

et al. 2017

Annual International Conference on Architecture and Civil Engineering (ACE 2017)

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Abstract-One of the most crucial components of a tall building is its lateral loading system. In this paper, we provide the development of a lateral bracing system that results in bracing material savings of up to 50% relative to a traditional X-Bracing system, as well as lighter corner columns due to the more efficient load paths of the lateral forces to the base. The solution naturally follows a linearized funicular curve, and the result provides a reasonable and replicable system from a manufacturing standpoint.

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“…With the same geometric constraints and conditions of Figure 2, the force and form diagrams for the optimal bracing developed in [15] are seen on Figure 6. Figure 6.…”

Section: Regular and Optimal Discrete Bracing Systemsmentioning

confidence: 99%

Section: Comparison With Previous Bracing Systemsmentioning

confidence: 99%

Section: Regular and Optimal Discrete Bracing Systemsmentioning

confidence: 99%

Section: Regular and Optimal Discrete Bracing Systemsmentioning

confidence: 99%

See 2 more Smart Citations

An Optimized Bracing System for Distributed Lateral Loads

Jacot¹,

Pagonakis²,

Shope³

et al. 2017

Annual International Conference on Architecture and Civil Engineering (ACE 2017)

View full text Add to dashboard Cite

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“…[26]. Topology optimization for braced frame in the design of large structures was investigated by Stromberg et al [27]. Reinforcement layout optimization of RC D-regions was assessed by Zhang et al [28].…”

Section: Introductionmentioning

confidence: 99%

Layout Optimization of Planar Braced Frames Using Modified Dolphin Monitoring Operator

Kaveh¹,

Vaez²,

Hosseini³

et al. 2018

Period. Polytech. Civil Eng.

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Determining the optimum placement of braces in steel frames has always been one of the most challenging issues in structural engineering. In this paper, the size and placement of the X-braces in planar frame structures is determined in a way Keywords layout optimization, planar braced frames, colliding bodies optimization, modified dolphin monitoring operator, metaheuristics IntroductionLayout or topology optimization deals with the selection of the best configuration for structural systems and constitutes one of the newest and most rapidly expanding fields of structural design, although some of its basic concepts were established almost a century ago [1]. In other words, structural layout optimization is a technique which enables automatic identification of optimal arrangements of structural elements in frames [2].In the field of structural engineering design, the main objectives include efforts to find design methods with optimum weight, cost of the construction, geometry, design and optimal topology along with satisfying the design constraints. For example, the optimal design of steel frames requires the selection of suitable steel sections for frame members from a set of standard steel sections. This choice should be made in such a way that not only the steel has the minimum weight, but also the strength constraints and serviceability of the structure are within the limits specified by the design specifications. In building frames, lateral loads are mainly supported by the lateral system. One of the commonly used structural systems for providing the lateral reinforcement of steel structures is the combination of a moment resisting frame with a braced frame forming a dual building frame system. Since determining the best location of bracings is not easy, one of the steps that can be taken to achieve this goal is using trial and error methods. This can be done by using metaheuristic optimization algorithms having an appropriate accuracy and speed.Some metaheuristic algorithms for designing structures consist of Genetic algorithms which is based on the evolution of living organisms [3]; Ant colony optimization inspired by rules governing the behavior of the real ants to find the shortest path between a nest and food for the prediction of best solution [4]; Particle swarm optimization (PSO) that is a population based stochastic optimization technique inspired by nature and social behavior of bird flocking or fish schooling [5]; Imperialist competitive algorithm (ICA) that is inspired by the political model and competition between empires [6]; Harmony search (HS) algorithm that is based on process which takes place when a musician searches for a better state of harmony [7,8]; Charged

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Simultaneous optimization of topology and supplemental damping distribution for buildings subjected to stochastic excitation

Gómez

Spencer

Carrion

2021

Struct Control Health Monit

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Supplemental damping devices present an attractive means to improve the structural system. Typically, dampers are designed after the structural system is selected, and they are added to increase structural damping and effectively reduce the dynamic response. On the other hand, topology optimization offers a possibility to obtain an efficient structural system but not the damper placement. Therefore, this study proposes a framework to obtain simultaneously optimal topology as well as the size and spatial distribution of discrete supplemental viscous damping devices for stochastically-excited buildings. The excitation is modeled as a stationary zero-mean filtered white noise, the excitation model is combined with the structural model to form an augmented representation, and the stationary covariances of the structural responses of interest are obtained by solving a Lyapunov equation. The objective function is defined in terms of the stationary covariance. A gradient-based method is used to update the design variables, and the sensitivities are computed using an adjoint method requiring the solution of an additional Lyapunov equation. The proposed topology optimization scheme is illustrated to obtain the optimal lateral resisting system together with the discrete dampers distribution for buildings subjected to stochastic ground motion. The results presented herein demonstrate the efficiency of the proposed approach to perform simultaneous optimization of topology and damper distribution of stochastically excited structures.

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Topology optimization for braced frames: Combining continuum and beam/column elements

Cited by 137 publications

References 27 publications

An Optimized Bracing System for Distributed Lateral Loads

An Optimized Bracing System for Distributed Lateral Loads

Layout Optimization of Planar Braced Frames Using Modified Dolphin Monitoring Operator

Simultaneous optimization of topology and supplemental damping distribution for buildings subjected to stochastic excitation

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