Concurrent type and dimensional synthesis of planar mechanisms using graph-theoretic enumeration, automatic loop closure equation generation, and descent-based optimization

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

An approach to concurrent type and dimensional synthesis of planar mechanisms is presented. Using graph-theoretic enumeration of mechanisms and determination of loops, automatic loop closure equations are generated. Using constrained optimization routines based on descent methods, and given an appropriate goal function, optimal mechanism designs can be determined. These are not limited to traditional problems such as rigid-body guidance and path generation, but can be more flexibly expressed according to designer needs. This method can be effective at finding mechanism solutions when topology has not been determined a priori and may also be extensible to synthesis of spatial mechanisms. This paper presents the data flow and algorithm outline, simulation results, and examples of nonstandard synthesis problems solvable with this method.

Original languageEnglish (US)
Title of host publicationASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
Pages215-222
Number of pages8
EditionPARTS A AND B
StatePublished - Dec 1 2011
EventASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 - Denver, CO, United States
Duration: Nov 11 2011Nov 17 2011

Publication series

NameASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
NumberPARTS A AND B
Volume7

Conference

ConferenceASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011
CountryUnited States
CityDenver, CO
Period11/11/1111/17/11

Fingerprint

Constrained optimization
Topology

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Nelson, C. A. (2011). Concurrent type and dimensional synthesis of planar mechanisms using graph-theoretic enumeration, automatic loop closure equation generation, and descent-based optimization. In ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011 (PARTS A AND B ed., pp. 215-222). (ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011; Vol. 7, No. PARTS A AND B).

Concurrent type and dimensional synthesis of planar mechanisms using graph-theoretic enumeration, automatic loop closure equation generation, and descent-based optimization. / Nelson, Carl A.

ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011. PARTS A AND B. ed. 2011. p. 215-222 (ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011; Vol. 7, No. PARTS A AND B).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nelson, CA 2011, Concurrent type and dimensional synthesis of planar mechanisms using graph-theoretic enumeration, automatic loop closure equation generation, and descent-based optimization. in ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011. PARTS A AND B edn, ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011, no. PARTS A AND B, vol. 7, pp. 215-222, ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011, Denver, CO, United States, 11/11/11.
Nelson CA. Concurrent type and dimensional synthesis of planar mechanisms using graph-theoretic enumeration, automatic loop closure equation generation, and descent-based optimization. In ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011. PARTS A AND B ed. 2011. p. 215-222. (ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011; PARTS A AND B).
Nelson, Carl A. / Concurrent type and dimensional synthesis of planar mechanisms using graph-theoretic enumeration, automatic loop closure equation generation, and descent-based optimization. ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011. PARTS A AND B. ed. 2011. pp. 215-222 (ASME 2011 International Mechanical Engineering Congress and Exposition, IMECE 2011; PARTS A AND B).
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