Generalized constitutive equations for piezo-actuated compliant mechanism

被引:40
作者
Cao, Junyi [1 ]
Ling, Mingxiang [1 ,2 ]
Inman, Daniel J. [3 ]
Lin, Jin [1 ]
机构
[1] Xi An Jiao Tong Univ, Sch Mech Engn, State Key Lab Mfg Syst Engn, Xian 710049, Peoples R China
[2] China Acad Engn Phys, Inst Syst Engn, Mianyang 621900, Peoples R China
[3] Univ Michigan, Dept Aerosp Engn, Ann Arbor, MI 48109 USA
基金
中国国家自然科学基金;
关键词
piezoelectric actuator; compliant mechanism; flexure hinge; matrix method; DISPLACEMENT AMPLIFICATION RATIO; CIRCULAR FLEXURE HINGE; ANALYTICAL-MODEL; DESIGN; OPTIMIZATION; DERIVATION; STATE;
D O I
10.1088/0964-1726/25/9/095005
中图分类号
TH7 [仪器、仪表];
学科分类号
0804 ; 080401 ; 081102 ;
摘要
This paper formulates analytical models to describe the static displacement and force interactions between generic serial-parallel compliant mechanisms and their loads by employing the matrix method. In keeping with the familiar piezoelectric constitutive equations, the generalized constitutive equations of compliant mechanism represent the input-output displacement and force relations in the form of a generalized Hooke's law and as analytical functions of physical parameters. Also significantly, a new model of output displacement for compliant mechanism interacting with piezo-stacks and elastic loads is deduced based on the generalized constitutive equations. Some original findings differing from the well-known constitutive performance of piezo-stacks are also given. The feasibility of the proposed models is confirmed by finite element analysis and by experiments under various elastic loads. The analytical models can be an insightful tool for predicting and optimizing the performance of a wide class of compliant mechanisms that simultaneously consider the influence of loads and piezo-stacks.
引用
收藏
页数:10
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