Topology optimization of planar linkage mechanisms. (7th February 2014)
- Record Type:
- Journal Article
- Title:
- Topology optimization of planar linkage mechanisms. (7th February 2014)
- Main Title:
- Topology optimization of planar linkage mechanisms
- Authors:
- Kim, Suh In
Kim, Yoon Young - Abstract:
- <abstract abstract-type="main" id="nme4635-abs-0001"> <title>SUMMARY</title> <p id="nme4635-para-0001">In spite of increasing interest in gradient‐based topology optimization of linkage mechanisms, it is still difficult to solve practical, realistic problems. Besides the apparent difficulty resulting from high nonlinearity, the optimization problem faces other major difficulties: difficulty to satisfy the discrete DOF condition with continuous design variables and lack of intrinsic mechanisms to generate distinct black‐and‐white layouts. To deal with the DOF issue, we propose a new formulation, which maximizes a single objective function, the energy transmittance efficiency. It is shown that the efficiency function maximization handles DOF redundancy and deficiency simultaneously. To obtain distinct linkage layouts, a common practice is to introduce an artificial mass constraint and/or to remove unnecessary links during optimization. However, we do not use any artificial mass constraint but post‐process the optimized result to obtain the final layout by a special post‐processing algorithm. In this study, the linkage design model consists of nonlinear ground bars and zero‐length springs. The springs are used to fix bar‐connecting nodes to the ground, generating pinned joints. After verifying the effectiveness of the proposed approach for four‐bar linkage synthesis, we synthesize an automobile steering mechanism satisfying the Ackermann condition. The steering mechanism<abstract abstract-type="main" id="nme4635-abs-0001"> <title>SUMMARY</title> <p id="nme4635-para-0001">In spite of increasing interest in gradient‐based topology optimization of linkage mechanisms, it is still difficult to solve practical, realistic problems. Besides the apparent difficulty resulting from high nonlinearity, the optimization problem faces other major difficulties: difficulty to satisfy the discrete DOF condition with continuous design variables and lack of intrinsic mechanisms to generate distinct black‐and‐white layouts. To deal with the DOF issue, we propose a new formulation, which maximizes a single objective function, the energy transmittance efficiency. It is shown that the efficiency function maximization handles DOF redundancy and deficiency simultaneously. To obtain distinct linkage layouts, a common practice is to introduce an artificial mass constraint and/or to remove unnecessary links during optimization. However, we do not use any artificial mass constraint but post‐process the optimized result to obtain the final layout by a special post‐processing algorithm. In this study, the linkage design model consists of nonlinear ground bars and zero‐length springs. The springs are used to fix bar‐connecting nodes to the ground, generating pinned joints. After verifying the effectiveness of the proposed approach for four‐bar linkage synthesis, we synthesize an automobile steering mechanism satisfying the Ackermann condition. The steering mechanism problem is solved here for the first time. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract> … (more)
- Is Part Of:
- International journal for numerical methods in engineering. Volume 98:Number 4(2014)
- Journal:
- International journal for numerical methods in engineering
- Issue:
- Volume 98:Number 4(2014)
- Issue Display:
- Volume 98, Issue 4 (2014)
- Year:
- 2014
- Volume:
- 98
- Issue:
- 4
- Issue Sort Value:
- 2014-0098-0004-0000
- Page Start:
- 265
- Page End:
- 286
- Publication Date:
- 2014-02-07
- Subjects:
- Numerical analysis -- Periodicals
Engineering mathematics -- Periodicals
620.001518 - Journal URLs:
- http://onlinelibrary.wiley.com/ ↗
- DOI:
- 10.1002/nme.4635 ↗
- Languages:
- English
- ISSNs:
- 0029-5981
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 4542.404000
British Library DSC - BLDSS-3PM
British Library STI - ELD Digital store - Ingest File:
- 4059.xml