Large deflection stiffness analysis of parallel prismatic leaf-spring flexures taking into account shearing, constrained warping and anticlastic curving effects

Dannis Michel Brouwer; Jacob Philippus Meijaard; Jan B. Jonker

doi:10.1016/j.precisioneng.2012.11.008

Large deflection stiffness analysis of parallel prismatic leaf-spring flexures taking into account shearing, constrained warping and anticlastic curving effects

Dannis Michel Brouwer, Jacob Philippus Meijaard, Jan B. Jonker

Faculty of Engineering Technology

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

55 Citations (Scopus)

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Abstract

The support stiffness of a parallel leaf-spring flexure should ideally be high, but deteriorates with increasing displacement. This significant characteristic needs to be quantified precisely, because it limits the use of parallel leaf-spring flexures in precision mechanisms. We present new and refined analytic formulas for the stiffness in three dimensions taking into account shear compliance, constrained warping and limited parallel external drive stiffness. The formulas are supplemented by a finite element analysis using shell elements to include anticlastic curving effects. Several approximation equations are presented for determining the drive force precisely. Even at relatively large deflections the derived formulas are in good agreement with the finite element results

Original language	English
Pages (from-to)	505-521
Number of pages	17
Journal	Precision engineering
Volume	37
Issue number	3
DOIs	https://doi.org/10.1016/j.precisioneng.2012.11.008
Publication status	Published - 2013

Keywords

IR-87888
METIS-296921

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10.1016/j.precisioneng.2012.11.008

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abstract = "The support stiffness of a parallel leaf-spring flexure should ideally be high, but deteriorates with increasing displacement. This significant characteristic needs to be quantified precisely, because it limits the use of parallel leaf-spring flexures in precision mechanisms. We present new and refined analytic formulas for the stiffness in three dimensions taking into account shear compliance, constrained warping and limited parallel external drive stiffness. The formulas are supplemented by a finite element analysis using shell elements to include anticlastic curving effects. Several approximation equations are presented for determining the drive force precisely. Even at relatively large deflections the derived formulas are in good agreement with the finite element results",

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Large deflection stiffness analysis of parallel prismatic leaf-spring flexures taking into account shearing, constrained warping and anticlastic curving effects. / Brouwer, Dannis Michel ; Meijaard, Jacob Philippus; Jonker, Jan B.
In: Precision engineering, Vol. 37, No. 3, 2013, p. 505-521.

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

TY - JOUR

T1 - Large deflection stiffness analysis of parallel prismatic leaf-spring flexures taking into account shearing, constrained warping and anticlastic curving effects

AU - Brouwer, Dannis Michel

AU - Meijaard, Jacob Philippus

AU - Jonker, Jan B.

PY - 2013

Y1 - 2013

N2 - The support stiffness of a parallel leaf-spring flexure should ideally be high, but deteriorates with increasing displacement. This significant characteristic needs to be quantified precisely, because it limits the use of parallel leaf-spring flexures in precision mechanisms. We present new and refined analytic formulas for the stiffness in three dimensions taking into account shear compliance, constrained warping and limited parallel external drive stiffness. The formulas are supplemented by a finite element analysis using shell elements to include anticlastic curving effects. Several approximation equations are presented for determining the drive force precisely. Even at relatively large deflections the derived formulas are in good agreement with the finite element results

AB - The support stiffness of a parallel leaf-spring flexure should ideally be high, but deteriorates with increasing displacement. This significant characteristic needs to be quantified precisely, because it limits the use of parallel leaf-spring flexures in precision mechanisms. We present new and refined analytic formulas for the stiffness in three dimensions taking into account shear compliance, constrained warping and limited parallel external drive stiffness. The formulas are supplemented by a finite element analysis using shell elements to include anticlastic curving effects. Several approximation equations are presented for determining the drive force precisely. Even at relatively large deflections the derived formulas are in good agreement with the finite element results

KW - IR-87888

KW - METIS-296921

U2 - 10.1016/j.precisioneng.2012.11.008

DO - 10.1016/j.precisioneng.2012.11.008

M3 - Article

SN - 0141-6359

VL - 37

SP - 505

EP - 521

JO - Precision engineering

JF - Precision engineering

IS - 3

ER -

Large deflection stiffness analysis of parallel prismatic leaf-spring flexures taking into account shearing, constrained warping and anticlastic curving effects

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