The static response of a beam that is guided along two non-parallel walls

Sivan Levi; Danny A. Kassie; David Elata

doi:10.1016/j.mechrescom.2020.103552

The static response of a beam that is guided along two non-parallel walls

Sivan Levi, Danny A. Kassie, David Elata

Mechanical Engineering

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We derive an analytic solution for a guided-guided beam that undergoes large deformations. Both edges of the beam are rotationally constrained, and they can only be translated along two non-parallel straight lines. The analytic solution is validated by a finite-elements simulation and experimental measurements. All solutions are in good agreement. This analytic solution is relevant for efficient optimization of compliant mechanisms.

Original language	English
Article number	103552
Journal	Mechanics Research Communications
Volume	107
DOIs	https://doi.org/10.1016/j.mechrescom.2020.103552
State	Published - Jul 2020

Keywords

Compliant mechanism
Elastica
Elliptic integrals
Guided-guided beam
Rotationally constrained beam

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering
General Materials Science
Civil and Structural Engineering

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10.1016/j.mechrescom.2020.103552

Cite this

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title = "The static response of a beam that is guided along two non-parallel walls",

abstract = "We derive an analytic solution for a guided-guided beam that undergoes large deformations. Both edges of the beam are rotationally constrained, and they can only be translated along two non-parallel straight lines. The analytic solution is validated by a finite-elements simulation and experimental measurements. All solutions are in good agreement. This analytic solution is relevant for efficient optimization of compliant mechanisms.",

keywords = "Compliant mechanism, Elastica, Elliptic integrals, Guided-guided beam, Rotationally constrained beam",

author = "Sivan Levi and Kassie, \{Danny A.\} and David Elata",

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year = "2020",

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doi = "10.1016/j.mechrescom.2020.103552",

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AU - Levi, Sivan

AU - Kassie, Danny A.

AU - Elata, David

PY - 2020/7

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N2 - We derive an analytic solution for a guided-guided beam that undergoes large deformations. Both edges of the beam are rotationally constrained, and they can only be translated along two non-parallel straight lines. The analytic solution is validated by a finite-elements simulation and experimental measurements. All solutions are in good agreement. This analytic solution is relevant for efficient optimization of compliant mechanisms.

AB - We derive an analytic solution for a guided-guided beam that undergoes large deformations. Both edges of the beam are rotationally constrained, and they can only be translated along two non-parallel straight lines. The analytic solution is validated by a finite-elements simulation and experimental measurements. All solutions are in good agreement. This analytic solution is relevant for efficient optimization of compliant mechanisms.

KW - Compliant mechanism

KW - Elastica

KW - Elliptic integrals

KW - Guided-guided beam

KW - Rotationally constrained beam

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U2 - 10.1016/j.mechrescom.2020.103552

DO - 10.1016/j.mechrescom.2020.103552

M3 - مقالة

SN - 0093-6413

VL - 107

JO - Mechanics Research Communications

JF - Mechanics Research Communications

M1 - 103552

ER -

The static response of a beam that is guided along two non-parallel walls

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

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