A new level set method for systematic design of hinge-free compliant mechanisms

By Jun Luo, Zhen Luo, Shikui Chen, Liyong Tong, Michael Y. Wang. 2008

158 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/fbd252f5c244f56c5c2f1d107952eb8e5d06d7b4

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In Civil and Structural Engineering

In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Geometrically constrained isogeometric parameterized level-set based topology optimization via trimmed elements (2016, methodology): “[23] introduced a quadratic energy functional used in image processing applications into the LSM to control the geometric width of structural components in the mechanisms, which can lead to hinge-free compliant mechanisms with distributed compliance by controlling structural shape features.”
A topology optimization method based on the level set method incorporating a fictitious interface energy (2010, methodology): “Key words: Topology Optimization, Finite Element Method, Level Set Method, Phase Field Method, Tikhonov Regularization Method”
Topology optimization approaches (2013, methodology): “To relax the CFL constraint semiimplicit schemes based on operator splitting methods can be used, which either operate separately on spatial dimensions of the problem or on the convective and diffusive terms (Luo et al. 2008a; Wei and Wang 2009).”
On projection methods, convergence and robust formulations in topology optimization (2011, background): “... but not local (minimum feature size level) convergence is shown in Fig. 1. As the authors see it, there are only very few papers that explicitly address the hinge or local convergence issues: that imposes a rather elaborate constraint (Poulsen 2003); that adds a quadratic energy functional to a ”
Multiple-Material Topology Optimization of Compliant Mechanisms Created Via PolyJet Three-Dimensional Printing (2014, background): “A number of other authors have tackled the issue by using Monte Carlo simulation to represent manufacturing uncertainties in the context of projection schemes [61,62] and level set methods [63].”
Topology design with negative masks using gradient search (2011, methodology): “The level set method is a general purpose approach employed to track and propagate an interface over time (Sethian and Wiegmann 2000; Wang et al. 2005; Luo et al. 2008).”
Manufacturing tolerant topology optimization (2009, background): “Filter techniques intended for removal of checkerboard instabilities are only partly successful in preventing the one-node connected hinges [3,13–16] although a very recently published level-set based scheme shows some promise [17] in this respect.”
Structural topology optimization based on non-local Shepard interpolation of density field (2011, background): “The most widely used ones can be broadly classified into material distribution models [1–6] and boundary description models, including the topology description function-based method [7], the level set-based method [8,9] and its variants [10–13].”
Integrated topology optimization with embedded movable holes based on combined description by material density and level sets (2013, methodology): “The second one is based on the geometrical boundary description model, such as the level set topology optimization methods [4–11], and the implicit description function method [12].”