Large deflection stiffness analysis of parallel prismatic leaf-spring flexures

► New analytic formulas for the 3-D stiffness taking into account, shear compliance, constrained warping, external drive stiffness. ► Additional insight in the influence on the stiffness of flexures due to the above mentioned effects. ► The formulas are supplemented by a finite element analysis usin...

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Published inPrecision engineering Vol. 37; no. 3; pp. 505 - 521
Main Authors Brouwer, D.M., Meijaard, J.P., Jonker, J.B.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.07.2013
Subjects
Anticlastic curving
Approximation
Compliant mechanism
Constrained warping
Deflection
Deterioration
Elastic mechanism
Finite element method
Flexing
Mathematical analysis
Plate-spring
Shearing
Sheet flexure
Shells
Stiffness
Compliant mechanism
Constrained warping
Plate-spring
Elastic mechanism
Anticlastic curving
Sheet flexure
Shearing
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Abstract ► New analytic formulas for the 3-D stiffness taking into account, shear compliance, constrained warping, external drive stiffness. ► Additional insight in the influence on the stiffness of flexures due to the above mentioned effects. ► 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. 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.
AbstractList ► New analytic formulas for the 3-D stiffness taking into account, shear compliance, constrained warping, external drive stiffness. ► Additional insight in the influence on the stiffness of flexures due to the above mentioned effects. ► 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. 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.
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.
Author Jonker, J.B.
Meijaard, J.P.
Brouwer, D.M.
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Cites_doi 10.1017/S0368393100116165
10.1007/s11044-009-9172-4
10.1112/plms/s2-20.1.389
10.1088/0950-7671/33/7/411
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Issue 3
Keywords Compliant mechanism
Constrained warping
Plate-spring
Elastic mechanism
Anticlastic curving
Sheet flexure
Shearing
Language English
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Snippet ► New analytic formulas for the 3-D stiffness taking into account, shear compliance, constrained warping, external drive stiffness. ► Additional insight in the...
The support stiffness of a parallel leaf-spring flexure should ideally be high, but deteriorates with increasing displacement. This significant characteristic...
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SubjectTerms Anticlastic curving
Approximation
Compliant mechanism
Constrained warping
Deflection
Deterioration
Elastic mechanism
Finite element method
Flexing
Mathematical analysis
Plate-spring
Shearing
Sheet flexure
Shells
Stiffness
Title Large deflection stiffness analysis of parallel prismatic leaf-spring flexures
URI https://dx.doi.org/10.1016/j.precisioneng.2012.11.008
https://search.proquest.com/docview/1365152713
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