Topology synthesis of large‐displacement compliant mechanisms

By C. Pedersen, Thomas Buhl, Ole Sigmund. 2001

504 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/6900212751bcdcd3fe62e72a75cc0b903957dce0

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Towards the stabilization of the low density elements in topology optimization with large deformation (2013, unknown): “3 by numerical experiments, where it is shown that for an initial value ofβ = 1 the value of the objective function is lower than for the initial value of β = 2, and it can lead to a local minimum, contradicting the β values that have been used for GNL TOM [25,31].”
Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics (2001, background): “…a new class of composites: Sigmund (2000b), Gibiansky and Sigmund (2000), MEMS design: Sigmund (2001a,b), geometric nonlinearities: Buhl et al. (2000), Pedersen et al. (2000), fluid-solid interaction: Chen and Kikuchi (2000), software development: Thomas and Schramm (2000), general review:…”
Topology optimization approaches (2013, background): “This is for example seen for fluid problems (e.g. GersborgHansen et al. 2005; Kreissl and Maute 2012) and for non-linear elasticity problems (e.g. Pedersen et al. (2001)).”
Simultaneous topology optimization of structure and supports (2002, background): “Buhl et al. (2000), Pedersen et al. (2001) and Bruns and Tortorelli (2001) discuss the effects of including geometrical nonlinearities in topology optimization.”
Topology optimization of nonlinear structures (2004, background): “Pedersen et al. [17] studied compliant mechanism for maximizing output work and path generation by incorporating geometrical nonlinearity.”
CONTINUUM TOPOLOGY OPTIMIZATION OF BUCKLING-SENSITIVE STRUCTURES (2002, background): “In Eq. ( 10 ) the expression on the left represents the internal virtual work d.±W int /, and that on the right, the external virtual work d.±W ext /. The differential of the internalvirtualwork can be written as d.±W int / D Z AS ±"ij dLv.?ij/dAS C Z AS ±"ji?im d"jm dAS (11)”
Design of multimaterial compliant mechanisms using level-set methods (2005, background): “mechanism [7, 13 ]. The corresponding objective function is defined as either the mechanical”