Analytical model of displacement amplification and stiffness optimization for a class of flexure-based compliant mechanisms

被引：314

作者：

Lobontiu, N ^{[1
]}

Garcia, E ^{[1
]}

机构：

[1] Cornell Univ, Sibley Sch Mech & Aerosp Engn, Ctr Intelligent Machine Syst, Ithaca, NY 14853 USA

来源：

COMPUTERS & STRUCTURES | 2003年 / 81卷 / 32期

基金：

美国国家科学基金会;

关键词：

flexure hinge; compliant mechanism; MEMS; amplification; stiffness;

D O I：

10.1016/j.compstruc.2003.07.003

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The paper formulates an analytical method for displacement and stiffness calculations of planar compliant mechanisms with single-axis flexure hinges. The procedure is based on the strain energy and Castigliano's displacement theorem and produces closed-form equations that incorporate the compliances characterizing any analytically-defined hinge, together with the other geometric and material properties of the compliant mechanism. Displacement amplification, input stiffness and output stiffness calculations can simply be performed for any serial compliant mechanism. The class of amplifying compliant mechanisms that contain symmetric corner-filleted or circular flexure hinges is specifically addressed here. A parametric study of the mechanism performance is performed, based on the mathematical model, and an optimization procedure is proposed, based on Lagrange's multipliers and Kuhn-Tucker conditions, which identifies the design vector that maximizes the performance of these flexure-based compliant mechanisms. Independent finite element simulation confirms the analytical model predictions. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：2797 / 2810

页数：14

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