Journal ArticleDOI
On an optimal property of compliant topologies
TLDR
In this paper, an optimal structural property for compliant topologies is presented for general multicriteria formulations that comprise the conflicting flexibility and stiffness requirements, and a one-variable search along the direction determined by the above optimal property is ensured that the converged solution is a minimum.Abstract:
An optimal structural property for compliant topologies is presented in this paper for general multicriteria formulations that comprise the conflicting flexibility and stiffness requirements. The property deduced from the first-order necessary conditions for optimality implies that the ratio of the mutual potential energy density to the strain energy density is uniform throughout the continuum, but for portions otherwise bounded by gage constraints. This property is used to develop an optimality criteria method for synthesizing compliant topologies. It is also noted that the multicriteria formulations considered here are nonconvex and can result in nonunique solutions. However, by incorporating a one-variable search along the direction determined by the above optimal property, it is ensured that the converged solution is a minimum. Several synthesis examples are included with linear frame finite elements which are easy for implementation and are capable of appropriately accounting for the bending behaviour in the continuum. Examples with previously reported density based design parameterization using bilinear plane-stress elements are also included to illustrate the synthesis procedure.read more
Citations
More filters
Journal ArticleDOI
Topology optimization of compliant mechanisms with multiple materials using a peak function material interpolation scheme
Luzhong Yin,G. K. Ananthasuresh +1 more
TL;DR: In this paper, a gradually formed continuous peak function is used for material interpolation in the topology optimization of compliant mechanisms, where stiff and flexible materials can be incorporated into the design without increasing the number of design variables.
Journal ArticleDOI
Reliability-based design of MEMS mechanisms by topology optimization
Kurt Maute,Dan M. Frangopol +1 more
TL;DR: In this paper, a methodology for the design of micro-electro-mechanical systems (MEMS) by topology optimization accounting for stochastic loading and boundary conditions as well as material properties is presented.
Journal ArticleDOI
Design of multimaterial compliant mechanisms using level-set methods
TL;DR: In this paper, a level-set method for designing monolithic compliant mechanisms made of multiple materials as an optimization of continuum heterogeneous structures is proposed. But this method is restricted to single-input and single-output mechanisms.
Journal ArticleDOI
Design of compliant mechanisms using continuum topology optimization: A review
TL;DR: A survey of the state-of-the-art design advances in this research area over the past 20 years is presented and can be helpful to those engaged in the topology optimization of compliant mechanisms who desire to be apprised of the field’s recent state and research tendency.
Journal ArticleDOI
Dynamic Modeling of Compliant Mechanisms Based on the Pseudo-Rigid-Body Model
TL;DR: Based on the principle of dynamic equivalence, a new dynamic model of compliant mechanisms is developed using the pseudo-rigid-body model in this article, where the natural frequency of a compliant mechanism is obtained in the example of a planar compliant parallel-guiding mechanism.
References
More filters
Journal ArticleDOI
Numerical Recipes in C: The Art of Scientific Computing
Mary C. Seiler,Fritz A. Seiler +1 more
Book
Elements of Structural Optimization
TL;DR: In this article, the authors present an approach for the optimization of structural components of a ten-bar truss and a twenty-five-bar trestle in the context of structural optimization.
Journal ArticleDOI
On the Design of Compliant Mechanisms Using Topology Optimization
TL;DR: In this paper, the authors present a method for optimal design of compliant mechanism topologies based on continuum-type topology optimization techniques and find the optimal mechanism topology within a given design domain and a given position and direction of input and output forces.
Book
Optimization of structural topology, shape, and material
TL;DR: The method presented in this book has been developed by Martin Bendsoe in co-operation with other researchers and can be considered as one of the most effective approaches to the optimization of layout and material design as discussed by the authors.
Journal ArticleDOI
Checkerboard patterns in layout optimization
Alejandro R. Diaz,Ole Sigmund +1 more
TL;DR: In this paper, effective properties of arrangements of strong and weak materials in a checkerboard fashion are computed and kinematic constraints are imposed so that the displacements are consistent with typical finite element approximations.