Optimal Linkage Shapes of Planar Mechanisms Using Topology Optimization

Volume 4A: Dynamics, Vibration, and Control ◽

10.1115/imece2016-65186 ◽

2016 ◽

Author(s):

Nathan Berge ◽

Matthew I. Campbell

Keyword(s):

Topology Optimization ◽

Static Loading ◽

Numerical Optimization ◽

Optimization Algorithms ◽

Optimization Technique ◽

Inertial Forces ◽

Planar Mechanisms ◽

And Topology ◽

Two Systems ◽

Walking Mechanism

Through the methods outlined in this paper, a procedure involving two cooperating optimization algorithms is developed to create balanced, structurally optimal planar mechanisms. Two systems are analyzed to demonstrate the approach. In the first example, a walking mechanism is analyzed under quasi-static loading, and topology optimization is performed to create stiff, lightweight linkages. In the second example, a quick-return Watt-II six-bar mechanism, counterweights are added to balance the mechanism using a numerical optimization technique. The inertial forces are calculated by simulation, and optimal linkage shapes are generated to support them using topology optimization.

Download Full-text

13. A Combined Shape-Newton and Topology Optimization Technique in Real-Time Image Segmentation

Real-Time PDE-Constrained Optimization ◽

10.1137/1.9780898718935.ch13 ◽

2007 ◽

pp. 253-275 ◽

Cited By ~ 1

Author(s):

Michael Hintermüller

Keyword(s):

Image Segmentation ◽

Topology Optimization ◽

Real Time ◽

Optimization Technique ◽

And Topology ◽

Real Time Image ◽

Time Image

Download Full-text

Reconstruction of dielectric cylinders using FDTD and topology optimization technique

IEEE Transactions on Magnetics ◽

10.1109/20.877600 ◽

2000 ◽

Vol 36 (4) ◽

pp. 956-959 ◽

Cited By ~ 15

Author(s):

Young-Seek Chung ◽

Changyul Cheon ◽

Song-Yop Hahn

Keyword(s):

Topology Optimization ◽

Optimization Technique ◽

And Topology

Download Full-text

Topology optimization for infill in MEx

Rapid Prototyping Journal ◽

10.1108/rpj-02-2021-0029 ◽

2021 ◽

Vol ahead-of-print (ahead-of-print) ◽

Author(s):

Matt Schmitt ◽

Il Yong Kim

Keyword(s):

Topology Optimization ◽

Numerical Optimization ◽

Optimization Technique ◽

Problem Formulation ◽

Optimization Techniques ◽

Manufacturing Constraints ◽

Support Material ◽

Element Mesh ◽

Content Type ◽

Manufacturing Method

Purpose In furthering numerical optimization techniques for the light-weighting of components, it is paramount to produce algorithms that closely mimic the physical behavior of the specific manufacturing method under which they are created. The continual development in topology optimization (TO) has reduced the difference in the optimized geometry from what can be physically realized. As the reinterpretation stage inevitably deviates from the optimal geometry, each progression in the optimization code that renders the final solution more realistic is beneficial. Despite the efficacy of material extrusion (MEx) in producing complex geometries, select manufacturing constraints are still required. Thus, the purpose of this paper is to develop a TO code which demonstrates the incorporation of MEx specific manufacturing constraints into a numerical optimization algorithm. Design/methodology/approach A support index is derived for each element of the finite element mesh that is used to penalize elements, which are insufficiently supported, discouraging their existence. The support index captures the self-supporting angle and maximum allowable bridging distance for a given MEx component. The incorporation of the support index into a TO code is used to demonstrate the efficacy of the method on multiple academic examples. Findings The case studies presented demonstrate the methodology is successful in generating a resulting topology that is self-supporting given the manufacturing parameters specified in the code. Comparative to a general TO problem formulation, the optimal material distribution results in a minimally penalized design on a compliance normalization metric while fully adhering to the MEx specific parameters. The methodology, thus, proves useful in generating an infill geometry is fully enclosed regions, where support material extraction is not a possibility. Originality/value The work presented is the first paper to produce a novel methodology that incorporates the manufacturing-specific constraint of bridging distance for MEx into TO code. The results generated allow for the creation of printed components with hollow inclusions that do not require any additional support material beyond the intended structure. Given the advancement, the numerical optimization technique has progressed to a more realistic representation of the physical manufacturing method.

Download Full-text