Designing inflatable structures

Skouras, Mélina; Thomaszewski, Bernhard; Kaufmann, Peter; Garg, Anshul; Bickel, Bernd; Grinspun, Eitan; Groß, Markus

doi:10.1145/2601097.2601166

Cited by 125 publications

(76 citation statements)

References 45 publications

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“…While not a primary concern of this work, it is worth noting that further developments are needed in order to render our method more efficient; as formulated, it inherently requires to resolve a buckling problem for each edge in the mesh, which are notoriously troublesome for Newton‐like methods. A rudimentary strategy to improve the initial guess and reduce buckling has been proposed, but we argue that further improvements can be achieved by applying our kinematic modification at the energy‐level rather than the strain level, as suggested in .…”

Section: Resultsmentioning

confidence: 99%

A framework for creating low‐order shell elements free of membrane locking

Quaglino

2016

Numerical Meth Engineering

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SUMMARYThis paper proposes a first step towards a framework to develop shell elements applicable to any deformation regime. Here, we apply it to the large and moderate deformations of, respectively, plates and shells, showing with standard benchmarks that the resulting low-order discretization is competitive against the best elements for either membrane-dominated or bending-dominated scenarios. Additionally, we propose a new test for measuring membrane locking, which highlights the mesh-independence properties of our element. Our strategy is based on building a discrete model that mimics the smooth behavior by construction, rather than discretizing a smooth energy. The proposed framework consists of two steps: (i) defining a discrete kinematics by means of constraints and (ii) formulating an energy that vanishes on such a constraint manifold. We achieve (i) by considering each triangle as a tensegrity structure, constructed to be unstretchable but bendable isometrically (in a discrete sense). We then present a choice for (ii) based on assuming a linear strain field on each triangle, using tools from differential geometry for coupling the discrete membrane energy with our locking-free kinematic description. We argue that such a locking-free element is only a member of a new family that can be created using our framework (i) and (ii).

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Section: Resultsmentioning

confidence: 99%

A framework for creating low‐order shell elements free of membrane locking

Quaglino

2016

Numerical Meth Engineering

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“…Typically, these approaches optimize object properties to meet a specific functional goal, and often consist of a mix of interactionand numerical optimization-based approaches. Recent work, for example, investigated the design of plush toys [Mori and Igarashi 2007], furniture [Saul et al 2011;Umetani et al 2012;Lau et al 2011;Schulz et al 2014], clothes [Umetani et al 2011], inflatable structures [Skouras et al 2014], wire meshes ], mechanical objects [Koo et al 2014;Zhu et al 2012;Coros et al 2013], and masonry structures [Whiting et al 2012;Vouga et al 2012].…”

Section: Related Workmentioning

confidence: 99%

Computational multicopter design

Du¹,

Schulz²,

Zhu³

et al. 2016

ACM Trans. Graph.

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Figure 1: We provide an interactive system for users to design, optimize and fabricate multicopters. We explore the design space to allow multicopter design with free-form geometry and nonstandard motor positions and directions. Based on user-specified metrics, our system optimizes the copter geometry and suggests a valid controller. Left: a multicopter example with free-form geometry, various motor heights and different propeller sizes. Middle: a pentacopter with optimized motor positions and orientations, allowing 30% increase in payload. Right: a classic hexacopter with three pairs of coaxial propellers. AbstractWe present an interactive system for computational design, optimization, and fabrication of multicopters. Our computational approach allows non-experts to design, explore, and evaluate a wide range of different multicopters. We provide users with an intuitive interface for assembling a multicopter from a collection of components (e.g., propellers, motors, and carbon fiber rods). Our algorithm interactively optimizes shape and controller parameters of the current design to ensure its proper operation. In addition, we allow incorporating a variety of other metrics (such as payload, battery usage, size, and cost) into the design process and exploring tradeoffs between them. We show the efficacy of our method and system by designing, optimizing, fabricating, and operating multicopters with complex geometries and propeller configurations. We also demonstrate the ability of our optimization algorithm to improve the multicopter performance under different metrics.

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“…Distance Energy To measure the distance between the source and optimized polylines in the 2D domain, we build a distance map, as in [Skouras et al 2014], using implicit moving least squares [Öztireli et al 2009]:…”

Section: Target Shapementioning

confidence: 99%

Computational design of stable planar-rod structures

2016

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Figure 1: Given a set of planar input contours (left), our system computes a stable, self-supporting wire sculpture. The physical prototype (right) can be easily fabricated using a 2D wire bending machine and assembled without the need of connectors between crossing wires. AbstractWe present a computational method for designing wire sculptures consisting of interlocking wires. Our method allows the computation of aesthetically pleasing structures that are structurally stable, efficiently fabricatable with a 2D wire bending machine, and assemblable without the need of additional connectors. Starting from a set of planar contours provided by the user, our method automatically tests for the feasibility of a design, determines a discrete ordering of wires at intersection points, and optimizes for the rest shape of the individual wires to maximize structural stability under frictional contact. In addition to their application to art, wire sculptures present an extremely efficient and fast alternative for low-fidelity rapid prototyping because manufacturing time and required material linearly scales with the physical size of objects. We demonstrate the effectiveness of our approach on a varied set of examples, all of which we fabricated.

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Designing inflatable structures

Cited by 125 publications

References 45 publications

A framework for creating low‐order shell elements free of membrane locking

A framework for creating low‐order shell elements free of membrane locking

Computational multicopter design

Computational design of stable planar-rod structures

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