Reinforced Concrete Force Visualization and Design Using Bilinear Truss-Continuum Topology Optimization

Gaynor, Andrew T.; Guest, James K.; Moen, Cristopher D.

doi:10.1061/(asce)st.1943-541x.0000692

Cited by 88 publications

(48 citation statements)

References 24 publications

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“…It is worth noting that a hybrid representation might be able to balance the speed of the discrete representation with the resolution of the continuum method. While such hybrid approaches generally exist in literature, such as a truss-continuum models simultaneously optimized to place steel and concrete materials [43][44][45], the authors are unaware of any hybrid repre sentations being used in conjunction with multiple material AM at this time.…”

Section: Determination Of Compliant Mechanism Design Pro Cess Suitablmentioning

confidence: 98%

Multiple-Material Topology Optimization of Compliant Mechanisms Created Via PolyJet Three-Dimensional Printing

Gaynor

Meisel

Williams

et al. 2014

Journal of Manufacturing Science and Engineering

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236

110

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Compliant mechanisms are able to transfer motion, force, and energy using a monolithic structure without discrete hinge elements. The geometric design freedoms and multimate rial capability offered by the PolyJet 3D printing process enables the fabrication o f com pliant mechanisms with optimized topology. The inclusion of multiple materials in the topology optimization process has the potential to eliminate the narrow, weak, hingelike sections that are often present in single-material compliant mechanisms and also allow for greater magnitude deflections. In this paper, the authors propose a design and fabri cation process for the realization of 3-phase, multiple-material compliant mechanisms. The process is tested on a 2D compliant force inverter. Experimental and numerical per formance o f the resulting 3-phase inverter is compared against a standard 2-phase design.

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Section: Determination Of Compliant Mechanism Design Pro Cess Suitablmentioning

confidence: 98%

Multiple-Material Topology Optimization of Compliant Mechanisms Created Via PolyJet Three-Dimensional Printing

Gaynor

Meisel

Williams

et al. 2014

Journal of Manufacturing Science and Engineering

Self Cite

236

110

View full text Add to dashboard Cite

show abstract

“…In addition, Bruggi and Taliercio [17] studied the topology optimization problem of fiber-reinforcement retrofitting existing structures. Gaynor et al [18] employed a hybrid truss-continuum topology optimization to design the STM of reinforced and prestressed concrete members. Amir and Sigmund [19] proposed a continuum and truss topology optimization method, in which concrete was represented by a damage model with strain-softening.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of reinforced concrete structures considering control of shrinkage and strength failure

Luo

Wang

Zhou

et al. 2015

Computers & Structures

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“…If one wants truss structures built from a single material that minimize the total compliance energy then an excellent approach is to use topology optimization methods: see, for example, chapter 4 of Bendsøe and Sigmund [1] and references therein. If one wants structures, such as formed from concrete reinforced with steel, built from two materials where one material is strong under tension while the other is strong under compression, then a hybridized truss-continuum topology optimization may be appropriate [5]. Other important considerations may affect the design too: such as making sure the stress in the wires, or struts, is not enough to cause damage, or making sure there are no adverse resonance effects in the frequency range in which they are likely to be excited.…”

Section: )mentioning

confidence: 99%

The set of forces that ideal trusses, or wire webs, under tension can support

Milton

2017

International Journal of Solids and Structures

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The problem of determining those multiplets of forces, or sets of force multiplets, acting at a set of points, such that there exists a truss structure, or wire web, that can support these force multiplets with all the elements of the truss or wire web being under tension, is considered. The two-dimensional problem where the points are at the vertices of a convex polygon is essentially solved: each multiplet of forces must be such that the net anticlockwise torque around any vertex of the forces summed over any number of consecutive points clockwise past the vertex must be non-negative; and one can find a truss structure that supports under tension, and only supports, those force multiplets in a convex polyhedron of force multiplets that is generated by a finite number of force multiplets each satisfying the torque condition. Progress is also made on the problem where only a subset of the points are at the vertices of a convex polygon, and the other points are inside. In particular, in the case where only one point is inside, an explicit procedure is described for constructing a suitable truss, if one exists. An alternative recipe to that provided by Milton, and Onofrei [8], based on earlier work of Camar Eddine and Seppecher [2], is given for constructing a truss structure, with elements under either compression or tension, that supports an arbitrary collection of balanced forces at the vertices of a convex polygon. Finally some constraints are given on the forces that a three-dimension truss, or wire web, under tension must satisfy.

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Reinforced Concrete Force Visualization and Design Using Bilinear Truss-Continuum Topology Optimization

Cited by 88 publications

References 24 publications

Multiple-Material Topology Optimization of Compliant Mechanisms Created Via PolyJet Three-Dimensional Printing

Multiple-Material Topology Optimization of Compliant Mechanisms Created Via PolyJet Three-Dimensional Printing

Topology optimization of reinforced concrete structures considering control of shrinkage and strength failure

The set of forces that ideal trusses, or wire webs, under tension can support

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