Fail-safe truss topology optimization

Stolpe, Mathias

doi:10.1007/s00158-019-02295-7

Cited by 28 publications

(20 citation statements)

References 37 publications

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“…They define the failure scenarios as complete removal of one beam at a time. In a recent work, Stolpe 52 discussed the fail‐safe optimization of truss structures. Both partial and full failures of the truss elements are considered, and the optimization problem is formulated as a convex conic programming problem.…”

Section: Introductionmentioning

confidence: 99%

Fail‐safe optimization of viscous dampers for seismic retrofitting

Pollini

2020

Earthq Engng Struct Dyn

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This paper presents a new optimization approach for designing minimum-cost fail-safe distributions of fluid viscous dampers for seismic retrofitting. Failure is modeled as either complete damage of the dampers or partial degradation of the dampers' properties. In general, this leads to optimization problems with large number of constraints. This may result in high computational costs if all the constraints are simultaneously considered during the optimization analysis. Thus, to reduce the computational effort, the use of a working-set optimization algorithm is proposed in this paper. The main idea is to solve a sequence of relaxed optimization subproblems with a small subset of all constraints. The algorithm terminates once a solution of a subproblem is found that satisfies all the constraints of the problem. The retrofitting cost is minimized with constraints on the interstory drifts at the peripheries of frame structures. The structures considered are subjected to a realistic ensemble of ground motions, and their response is evaluated with time-history analyses. The transient optimization problem is efficiently solved with a gradient-based sequential linear programming algorithm. The gradients of the response functions are calculated with a consistent adjoint sensitivity analysis procedure. Promising results attained for 3-D irregular frames are presented and discussed. The numerical results highlight the fact that the optimized layout and size of the dampers can change significantly even for moderate levels of damage.

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Section: Introductionmentioning

confidence: 99%

Fail‐safe optimization of viscous dampers for seismic retrofitting

Pollini

2020

Earthq Engng Struct Dyn

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“…Kanno [100] also designs resilient trusses according to our definition, however displacement constraints are not included in the model. Non-robust truss topology design under bar-failure is considered in [155]. In the following we will extend the robust truss topology design problems from Sect.…”

Section: Truss Topology Optimisation Under Aspects Of Resiliencementioning

confidence: 99%

Strategies for Mastering Uncertainty

Pfetsch

Abele

Altherr

et al. 2021

Springer Tracts in Mechanical Engineering

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This chapter describes three general strategies to master uncertainty in technical systems: robustness, flexibility and resilience. It builds on the previous chapters about methods to analyse and identify uncertainty and may rely on the availability of technologies for particular systems, such as active components. Robustness aims for the design of technical systems that are insensitive to anticipated uncertainties. Flexibility increases the ability of a system to work under different situations. Resilience extends this characteristic by requiring a given minimal functional performance, even after disturbances or failure of system components, and it may incorporate recovery. The three strategies are described and discussed in turn. Moreover, they are demonstrated on specific technical systems.

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“…To satisfy this criteria implies there must exist additional load-paths when one structural member is completely removed or partially damaged. For an a priori discrete structure such as a truss or frame this results in a rather simple design problem-in principle one could simply remove one member at a time and minimize the maximum compliance (see Stolpe (2019) for a practical implementation of this idea). Formulation of the design problem for continuum structures is however not as straightforward.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization for fail-safe designs using moving morphable components as a representation of damage

Hederberg

Thore

2021

Struct Multidisc Optim

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Designs obtained with topology optimization (TO) are usually not safe against damage. In this paper, density-based TO is combined with a moving morphable component (MMC) representation of structural damage in an optimization problem for fail-safe designs. Damage is inflicted on the structure by an MMC which removes material, and the goal of the design problem is to minimize the compliance for the worst possible damage. The worst damage is sought by optimizing the position of the MMC to maximize the compliance for a given design. This non-convex problem is treated using a gradient-based solver by initializing the MMC at multiple locations and taking the maximum of the compliances obtained. The use of MMCs to model damage gives a finite element-mesh-independent method, and by allowing the components to move rather than remain at fixed locations, more robust structures are obtained. Numerical examples show that the proposed method can produce fail-safe designs with reasonable computational cost.

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Fail-safe truss topology optimization

Cited by 28 publications

References 37 publications

Fail‐safe optimization of viscous dampers for seismic retrofitting

Fail‐safe optimization of viscous dampers for seismic retrofitting

Strategies for Mastering Uncertainty

Topology optimization for fail-safe designs using moving morphable components as a representation of damage

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