Freedom and constraint analysis and optimization

Dannis Michel Brouwer; Steven Boer; Ronald G.K.M. Aarts; Jacob Philippus Meijaard; Jan B. Jonker

Freedom and constraint analysis and optimization

Dannis Michel Brouwer, Steven Boer, Ronald G.K.M. Aarts, Jacob Philippus Meijaard, Jan B. Jonker

Faculty of Engineering Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

Many mathematical and intuitive methods for constraint analysis of mechanisms have been proposed. In this article we compare three methods. Method one is based on Grüblers equation. Method two uses an intuitive analysis method based on opening kinematic loops and evaluating the constraints at the intersection. Method three uses a flexible multibody modeling approach which facilitates the analysis of complex systems. We demonstrate a visualization method using generalized von Mises stress to show overconstraint modes. A four bar mechanism and a two-degree-of- freedom (DOF) flexure-based mechanism serve as a case study. Briefly the optimization of the location and orientation of releases is discussed. The implementation of the releases in the flexure-based two DOF mechanism is presented.

Original language	English
Title of host publication	Proceedings ASPE 2011 Annual Meeting
Subtitle of host publication	November 13-18, 2011
Place of Publication	Raleigh, NC
Publisher	American Society for Precision Engineering
Pages	-
Number of pages	4
Publication status	Published - 13 Nov 2011
Event	26th ASPE Annual Meeting 2011 - Denver Marriott City Center Hotel, Denver, United States Duration: 13 Nov 2011 → 17 Nov 2011 Conference number: 26 http://aspe.net/publications/Annual_2011/ASPE_2011_Proceedings_VOL52.pdf

Conference

Conference	26th ASPE Annual Meeting 2011
Country	United States
City	Denver
Period	13/11/11 → 17/11/11
Internet address	http://aspe.net/publications/Annual_2011/ASPE_2011_Proceedings_VOL52.pdf

Keywords

IR-87886
METIS-279508

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Brouwer2011freedom
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title = "Freedom and constraint analysis and optimization",

abstract = "Many mathematical and intuitive methods for constraint analysis of mechanisms have been proposed. In this article we compare three methods. Method one is based on Gr{\"u}blers equation. Method two uses an intuitive analysis method based on opening kinematic loops and evaluating the constraints at the intersection. Method three uses a flexible multibody modeling approach which facilitates the analysis of complex systems. We demonstrate a visualization method using generalized von Mises stress to show overconstraint modes. A four bar mechanism and a two-degree-of- freedom (DOF) flexure-based mechanism serve as a case study. Briefly the optimization of the location and orientation of releases is discussed. The implementation of the releases in the flexure-based two DOF mechanism is presented.",

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Freedom and constraint analysis and optimization. / Brouwer, Dannis Michel; Boer, Steven; Aarts, Ronald G.K.M.; Meijaard, Jacob Philippus ; Jonker, Jan B.

Proceedings ASPE 2011 Annual Meeting: November 13-18, 2011. Raleigh, NC : American Society for Precision Engineering, 2011. p. -.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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T1 - Freedom and constraint analysis and optimization

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AU - Aarts, Ronald G.K.M.

AU - Meijaard, Jacob Philippus

AU - Jonker, Jan B.

N1 - Conference code: 26

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N2 - Many mathematical and intuitive methods for constraint analysis of mechanisms have been proposed. In this article we compare three methods. Method one is based on Grüblers equation. Method two uses an intuitive analysis method based on opening kinematic loops and evaluating the constraints at the intersection. Method three uses a flexible multibody modeling approach which facilitates the analysis of complex systems. We demonstrate a visualization method using generalized von Mises stress to show overconstraint modes. A four bar mechanism and a two-degree-of- freedom (DOF) flexure-based mechanism serve as a case study. Briefly the optimization of the location and orientation of releases is discussed. The implementation of the releases in the flexure-based two DOF mechanism is presented.

AB - Many mathematical and intuitive methods for constraint analysis of mechanisms have been proposed. In this article we compare three methods. Method one is based on Grüblers equation. Method two uses an intuitive analysis method based on opening kinematic loops and evaluating the constraints at the intersection. Method three uses a flexible multibody modeling approach which facilitates the analysis of complex systems. We demonstrate a visualization method using generalized von Mises stress to show overconstraint modes. A four bar mechanism and a two-degree-of- freedom (DOF) flexure-based mechanism serve as a case study. Briefly the optimization of the location and orientation of releases is discussed. The implementation of the releases in the flexure-based two DOF mechanism is presented.

KW - IR-87886

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