Numerical methods for the topology optimization of structures that exhibit snap‐through

By T. Bruns, Ole Sigmund, Daniel A. Tortorelli. 2002

150 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/677924366c9fc5bdbf95bf0d3425ef479fd15df2

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Non-probabilistic reliability-based topology optimization of geometrically nonlinear structures using convex models (2009, unknown): “Geometrical nonlinearity has also been taken into account in multidisciplinary topology optimization problems for the design of compliant mechanisms [18,19], MEMS [20] and mechanisms that exhibit snap-through behaviours [21,22].”
Topology optimization of nonlinear structures under displacement loading (2008, methodology): “Using the sensitivity/gradient based optimization methods, a number of papers have considered topology optimization of geometrically nonlinear structures [5–8].”
Topology optimization of continuum structures under buckling constraints (2015, background): “Geometrically nonlinear models have also been introduced into the optimization of continuum structures against buckling [11-15].”
Shape design of pin-jointed multistable compliant mechanisms using snapthrough behavior (2005, methodology): “Bruns et al. (2002) and Sekimoto and Noguchi (2001) presented methods utilizing the effect of snapthrough.”
A survey of structural and multidisciplinary continuum topology optimization: post 2000 (2014, unknown): “Pedersen et al. (2001), Bruns et al. (2002), and Bruns and Tortorelli (2003) optimized compliant mechanisms with geometric nonlinearity while Jung and Gea (2004) did so with hyperelastic material nonlinearity.”
Optimal topologies derived from a phase-field method (2012, background): “e.g. Bruns et al. 2002 ) topology optimization is conducted for the small strain case.”
Robust topology optimization of structures with imperfect geometry based on geometric nonlinear analysis (2015, methodology): “In accordance with the literature on topology optimization of geometric nonlinear structures [15, 16], this work incorporates geometric nonlinear phenomena in the optimization by means of a Total Lagrangian formulation for large displacement mechanics.”