A Compliant Bistable Mechanism Design Incorporating Elastica Buckling Beam Theory and Pseudo-Rigid-Body Model

Ümit Sönmez, Cem Celal Tutum

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

In this work, a new compliant bistable mechanism design is introduced. The combined use of pseudo-rigid-body model (PRBM) and the Elastica buckling theory is presented for the first time to analyze the new design. This mechanism consists of the large deflecting straight beams, buckling beams, and a slider. The kinematic analysis of this new mechanism is studied, using nonlinear Elastica buckling beam theory, the PRBM of a large deflecting cantilever beam, the vector loop closure equations, and numerically solving nonlinear algebraic equations. A design method of the bistable mechanism in microdimensions is investigated by changing the relative stiffness of the flexible beams. The actuation force versus displacement characteristics of several cases is explored and the full simulation results of one of the cases are presented. This paper demonstrates the united application of the PRBM and the buckling Elastica solution for an original compliant mechanism kinematic analysis. New compliant mechanism designs are presented to highlight where such combined kinematic analysis is required.
Original languageEnglish
JournalJournal of Mechanical Design
Volume130
Issue number4
Pages (from-to)042304
ISSN1050-0472
DOIs
Publication statusPublished - 2008

Bibliographical note

Pagination: 042304-1-14

Keywords

  • large-deflection analysis
  • compliant mechanisms
  • buckling beam theory
  • pseudo-rigid-body model
  • bistable micromechanisms
  • Elastica theory

Cite this

@article{468de70d149d4e7eb6ecc5619cf7682c,
title = "A Compliant Bistable Mechanism Design Incorporating Elastica Buckling Beam Theory and Pseudo-Rigid-Body Model",
abstract = "In this work, a new compliant bistable mechanism design is introduced. The combined use of pseudo-rigid-body model (PRBM) and the Elastica buckling theory is presented for the first time to analyze the new design. This mechanism consists of the large deflecting straight beams, buckling beams, and a slider. The kinematic analysis of this new mechanism is studied, using nonlinear Elastica buckling beam theory, the PRBM of a large deflecting cantilever beam, the vector loop closure equations, and numerically solving nonlinear algebraic equations. A design method of the bistable mechanism in microdimensions is investigated by changing the relative stiffness of the flexible beams. The actuation force versus displacement characteristics of several cases is explored and the full simulation results of one of the cases are presented. This paper demonstrates the united application of the PRBM and the buckling Elastica solution for an original compliant mechanism kinematic analysis. New compliant mechanism designs are presented to highlight where such combined kinematic analysis is required.",
keywords = "large-deflection analysis, compliant mechanisms, buckling beam theory, pseudo-rigid-body model, bistable micromechanisms, Elastica theory",
author = "{\"U}mit S{\"o}nmez and Tutum, {Cem Celal}",
note = "Pagination: 042304-1-14",
year = "2008",
doi = "10.1115/1.2839009",
language = "English",
volume = "130",
pages = "042304",
journal = "Journal of Mechanical Design",
issn = "1050-0472",
publisher = "American Society of Mechanical Engineers",
number = "4",

}

A Compliant Bistable Mechanism Design Incorporating Elastica Buckling Beam Theory and Pseudo-Rigid-Body Model. / Sönmez, Ümit; Tutum, Cem Celal.

In: Journal of Mechanical Design, Vol. 130, No. 4, 2008, p. 042304.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - A Compliant Bistable Mechanism Design Incorporating Elastica Buckling Beam Theory and Pseudo-Rigid-Body Model

AU - Sönmez, Ümit

AU - Tutum, Cem Celal

N1 - Pagination: 042304-1-14

PY - 2008

Y1 - 2008

N2 - In this work, a new compliant bistable mechanism design is introduced. The combined use of pseudo-rigid-body model (PRBM) and the Elastica buckling theory is presented for the first time to analyze the new design. This mechanism consists of the large deflecting straight beams, buckling beams, and a slider. The kinematic analysis of this new mechanism is studied, using nonlinear Elastica buckling beam theory, the PRBM of a large deflecting cantilever beam, the vector loop closure equations, and numerically solving nonlinear algebraic equations. A design method of the bistable mechanism in microdimensions is investigated by changing the relative stiffness of the flexible beams. The actuation force versus displacement characteristics of several cases is explored and the full simulation results of one of the cases are presented. This paper demonstrates the united application of the PRBM and the buckling Elastica solution for an original compliant mechanism kinematic analysis. New compliant mechanism designs are presented to highlight where such combined kinematic analysis is required.

AB - In this work, a new compliant bistable mechanism design is introduced. The combined use of pseudo-rigid-body model (PRBM) and the Elastica buckling theory is presented for the first time to analyze the new design. This mechanism consists of the large deflecting straight beams, buckling beams, and a slider. The kinematic analysis of this new mechanism is studied, using nonlinear Elastica buckling beam theory, the PRBM of a large deflecting cantilever beam, the vector loop closure equations, and numerically solving nonlinear algebraic equations. A design method of the bistable mechanism in microdimensions is investigated by changing the relative stiffness of the flexible beams. The actuation force versus displacement characteristics of several cases is explored and the full simulation results of one of the cases are presented. This paper demonstrates the united application of the PRBM and the buckling Elastica solution for an original compliant mechanism kinematic analysis. New compliant mechanism designs are presented to highlight where such combined kinematic analysis is required.

KW - large-deflection analysis

KW - compliant mechanisms

KW - buckling beam theory

KW - pseudo-rigid-body model

KW - bistable micromechanisms

KW - Elastica theory

U2 - 10.1115/1.2839009

DO - 10.1115/1.2839009

M3 - Journal article

VL - 130

SP - 042304

JO - Journal of Mechanical Design

JF - Journal of Mechanical Design

SN - 1050-0472

IS - 4

ER -