Minimizing support structures and trapped area in two-dimensional layered manufacturing

Majhi, Jayanth; Janardan, Ravi; Schwerdt, Jörg; Smid, Michiel; Gupta, Prosenjit

doi:10.1016/s0925-7721(99)00003-6

Cited by 35 publications

(21 citation statements)

References 8 publications

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“…The selection criterion for orientation is based on minimization of contact area between the part and the supports. Majhi et al (Majhi et al, 1999) used computational geometry to minimize the area of support structures and the contact length with the part. They also tried to minimize the volume of trapped volumes for convex polyhedrons.…”

Section: Literature Reviewmentioning

confidence: 99%

Optimum Part Build Orientation in Additive Manufacturing for Minimizing Part Errors and Support Structures

Das

Chandran

Samant

et al. 2015

Procedia Manufacturing

154

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Additive Manufacturing (AM) is the process of part building by stacking layers of material on top of each other. Various challenges for a metal powder based process include reducing the staircase effect which leads to poor surface finish of the part, and minimal use of support structures for regions with overhangs or internal hollow volumes. Part build orientation is a crucial process parameter which affects part quality, in particular, Geometric Dimensioning & Tolerancing (GD&T) errors on the part, the energy expended and the extent of support structures required. This paper provides an approach to identify an optimal build orientation which will minimize the volume of support structures while meeting the specified GD&T criteria of the part for a DMLS based process. Siemens PLM NX API is used to extract the GD&T callouts and associated geometric information of the CAD model. The regions requiring support structures are identified and a Quadtree decomposition is used to find the volume of support structures. The mathematical relationships between build orientation and GD&T are developed as part of a combined optimization model to identify best build orientations for minimizing support structures while meeting the design tolerances. The feasible build orientations along with the corresponding support structures are depicted using a visual model.

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Section: Literature Reviewmentioning

confidence: 99%

Optimum Part Build Orientation in Additive Manufacturing for Minimizing Part Errors and Support Structures

Das

Chandran

Samant

et al. 2015

Procedia Manufacturing

154

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“…These often occur in layered manufacturing [41,42,54], for instance in material layout and cloth manufacturing [3]. For various examples we refer to the survey by Chen et al [14] and the references therein.…”

Section: Applicationsmentioning

confidence: 99%

Fractional programming: The sum-of-ratios case

Schaible

Shi²

2003

Optimization Methods and Software

140

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One of the most difficult fractional programs encountered so far is the sum-of-ratios problem. Contrary to earlier expectations it is much more removed from convex programming than other multi-ratio problems analyzed before. It really should be viewed in the context of global optimization. It proves to be essentially NP-hard in spite of its special structure under the usual assumptions on numerators and denominators. The article provides a recent survey of applications, theoretical results and various algorithmic approaches for this challenging problem.

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“…Recently, the problem of computing a good orientation has been considered in the computational geometry community. See [1,2,6,7,8,13,14,15].…”

Section: Related Workmentioning

confidence: 99%

Computing An Optimal Hatching Direction In Layered Manufacturing

Schwerdt

Smid

Hon

et al. 2002

International Journal of Computer Mathematics

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In Layered Manufacturing (LM), a prototype of a virtual polyhedral object is built by slicing the object into polygonal layers, and then building the layers one after another. In StereoLithography, a specific LM-technology, a layer is built using a laser which follows paths along equally-spaced parallel lines and hatches all segments on these lines that are contained in the layer. We consider the problem of computing a direction of these lines for which the number of segments to be hatched is minimum, and present an algorithm that solves this problem exactly. The algorithm has been implemented and experimental results are reported for real-world polyhedral models obtained from industry.

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Minimizing support structures and trapped area in two-dimensional layered manufacturing

Cited by 35 publications

References 8 publications

Optimum Part Build Orientation in Additive Manufacturing for Minimizing Part Errors and Support Structures

Optimum Part Build Orientation in Additive Manufacturing for Minimizing Part Errors and Support Structures

Fractional programming: The sum-of-ratios case

Computing An Optimal Hatching Direction In Layered Manufacturing

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