Topology optimization and seismic collapse assessment of shape memory alloy (SMA)-braced frames: Effectiveness of Fe-based SMAs

Hassanzadeh, Aydin; Moradi, Saber

doi:10.1007/s11709-022-0807-3

Cited by 6 publications

(9 citation statements)

References 36 publications

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“…That process repeats until all SMARDs are placed. Considering the SMARD configurations of Table 4 , the method of 20 results in the design shown in Table 5 and favorites placing the SMARDs in the lower stories. In terms of minimal time-integration trajectories, the results in Table 5 are superior in all meanings.…”

Section: Numerical Examplementioning

confidence: 99%

“…The authors propose using a genetic algorithm when the MATLAB© toolbox is unavailable. Hassanzadeh and Moradi 20 used discrete topology optimization in finding the optimal placement and length of SMA braces and the optimal cross-sections of structural members.…”

Section: Introductionmentioning

confidence: 99%

“…This paper presents a new approach for optimally allocating SMARDs to inelastic frame structures and optimizing their design parameters (number of SMA wires). The methodology differs from existing methods by not relying on genetic/search algorithms 18 , 19 , 22 , 23 , linearization 16 , 17 , 20 , or stochastic analysis 19 , 21 . Instead, the design procedure relies on deterministic analysis and computes the structure's inelastic earthquake response to determine the objective function's steepest gradient.…”

Section: Introductionmentioning

confidence: 99%

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Optimization of inelastic multistory structures under seismic vibrations using shape-memory-alloy material

Shmerling

Gerdts

2022

Sci Rep

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This paper develops a novel optimization methodology for designing Shape-memory-alloy resisting devices (SMARDs) and optimally allocating them to inelastic multistory structures. The solution algorithm is a control gains optimization procedure that refers to a formal optimization problem with an objective function subject to the state-space equation and design limitations. The objective function integrates the squared state components in time, and the state-space equation consists of a newly introduced state vector form that reflects the system's inelasticity. The control gains are the number of total Shape-memory-alloy (SMA) wires attached to the devices in each story, and the design limitations dictate the minimum/maximum number of wires. The solution algorithm consists of five iterative steps that employ the defined Hamiltonian gradients in state and gains and cater to the necessary optimality conditions. The numerical example deals with upgrading an eight-story shear-type frame system. It studies the algorithm efficiency and elaborates on the effect of the optimal weighting matrix by investigating three different configurations. In all cases, the algorithm improves the system's inelastic seismic response—showcasing the reliability of the developed design methodology and the utilization of SMA material.

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Section: Numerical Examplementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optimization of inelastic multistory structures under seismic vibrations using shape-memory-alloy material

Shmerling

Gerdts

2022

Sci Rep

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“…The design procedure considers story drifts and ductility as performance objectives. Also, a couple of studies have examined the performance‐based design of steel frames with SMA‐based braces 17,18 . However, optimization methodologies are yet to be implemented in the design of SC‐MRFs.…”

Section: Introductionmentioning

confidence: 99%

Performance‐based optimum seismic design of self‐centering steel moment frames with SMA‐based connections

Hassanzadeh,

Moradi,

Burton

2024

Earthq Engng Struct Dyn

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Shape memory alloys (SMAs) have found several applications in earthquake‐resilient structures. However, because of high material costs, their implementation on industry projects is still limited. Developing design approaches that minimize the use of expensive SMAs is critical to facilitating their widespread adoption in real structures. This paper proposes a performance‐based seismic design optimization procedure for self‐centering steel moment‐resisting frames (SC‐MRFs) with SMA‐bolted endplate connections. The topology optimization uses a metaheuristic algorithm to minimize the frame's total cost, including the initial construction and expected repair costs. The design variables are the steel beam and column sections, SMA connection properties, and the topology of the SMA connections. Different constraints are considered, such as the constructability of the chosen steel sections, member strengths, performance‐based design, Park‐Ang damage index, and strong‐column weak‐beam requirements. Furthermore, the seismic safety of optimal designs is assessed by calculating adjusted collapse margin ratios according to FEMA‐P695. An illustrative optimization study using three‐ and nine‐story SC‐MRFs is presented. The optimal SC‐MRFs are then assessed in terms of cost and seismic performance. The results confirm the effectiveness of the proposed optimum design, which minimizes the use of SMAs while ensuring improved seismic performance. The case studies show that the optimal placement of SMA connections can reduce the total cost by up to 71% and 61% for the three‐ and nine‐story SC‐MRFs, respectively, compared to nonoptimal frames. Moreover, the optimal SC‐MRFs exhibit more uniform drift distributions, lower residual story drifts by up to 96%, and increase collapse capacity by up to 102%.

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“…Researchers have used structural optimization to enhance and compare the efficiency of the new systems. Hassanzadeh and Moradi [ 21 ] performed topology optimization on shape memory alloy‐braced frames (SMA‐BFs) within a PBD context. They concluded that Fe‐based SMA‐BFs have a higher resistance to collapse, but are more expensive than nickel–titanium SMA‐BFs.…”

Section: Introductionmentioning

confidence: 99%

Evaluating ASCE 41‐17 performance‐based provisions on optimally designed steel moment frames

Ebadijalal

Shahrouzi

2022

Structural Design Tall Build

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In this study, the ASCE 41-17 nonlinear static procedure for steel moment-resisting frames is evaluated using a three-phase constraint handling procedure. For the first time, advanced performance measures of ASCE 41-17 are quantified during the optimization process by constructing concentrated plasticity models of the standard.Covariance matrix adaptation in evolution strategies (CMA-ES) is used to obtain optimal designs for three-and nine-story illustrative examples. Active and inactive constraints are discussed in the current performance-based design methodology as a guide for future research. The seismic evaluation procedure outlined in FEMA P695 is applied to 147 optimal designs. Plastic hinge models explicitly simulate cyclic deterioration in nonlinear dynamic analyses. The numerical results conclusively demonstrate that the design procedure provides an acceptable margin of safety from collapse of the treated frames. Moreover, there is no significant relationship between the structural weights and the collapse margin ratios for such optimally designed structures.

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Topology optimization and seismic collapse assessment of shape memory alloy (SMA)-braced frames: Effectiveness of Fe-based SMAs

Cited by 6 publications

References 36 publications

Optimization of inelastic multistory structures under seismic vibrations using shape-memory-alloy material

Optimization of inelastic multistory structures under seismic vibrations using shape-memory-alloy material

Performance‐based optimum seismic design of self‐centering steel moment frames with SMA‐based connections

Evaluating ASCE 41‐17 performance‐based provisions on optimally designed steel moment frames

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