2016
DOI: 10.1088/0964-1726/25/9/095005
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Generalized constitutive equations for piezo-actuated compliant mechanism

Abstract: 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 o… Show more

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Cited by 31 publications
(13 citation statements)
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“…Others [81,[189][190][191][192] displacements coincide with the points of actuation force in the above investigations [198][199][200][201][202][203][204][205]. The modeling procedure will become more complicated with multiple actuation forces, and when the solved displacement is not coincident with the points of actuation force.…”
Section: Rhombicmentioning
confidence: 89%
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“…Others [81,[189][190][191][192] displacements coincide with the points of actuation force in the above investigations [198][199][200][201][202][203][204][205]. The modeling procedure will become more complicated with multiple actuation forces, and when the solved displacement is not coincident with the points of actuation force.…”
Section: Rhombicmentioning
confidence: 89%
“…The compliance matrix method can be recognized as an efficient toolkit for a wide range of compliant mechanisms with complex configurations [198][199][200][201][202][203]. Pham and Chen [198] employed the compliance matrix method for parallel compliant mechanisms, while this method was extensively used to analyze flexure-based precision positioning stages by the groups of Li, Xu [82][83][84]199] and other researchers [204,205]. However, it is difficult to obtain the detailed displacements in compliant mechanisms.…”
Section: Keymentioning
confidence: 99%
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“…The output of the micro gripper x(t) (Figure 2) can be modelled through a set of geometric relationships based on the initial state of the gripper [29]. Two key displacement amplification techniques were used in the design of the gripper: firstly, a bridge amplifier [30], which converts horizontal motion to vertical motion by deflecting two parallel beams [31] and, secondly, a simple lever to translate the motion to the gripper tips. Because of this, the modelling has been split into two sections, firstly the bridge amplifier with initial design constants u0, L0, w and secondly the upper compliant section with a, b, h0 and L0I as defined in Table 1.…”
Section: Methodsmentioning
confidence: 99%
“…Piezo stacks as actuators have the advantage of fast response and high resolution for low levels of travel (Aphale et al, 2008; Xu, 2015). There are a wide variety of frame topologies that have been used for positioning, such as bridge, rhombus and cymbal shaped structures that employ a range of flexure hinge joints (Cao et al, 2016; Ling et al, 2016). The range of methods used for modelling the amplification ratio of such devices is equally diverse, employing pin joint analysis (Lobontiu and Garcia, 2003), spring analogies (Ma et al, 2006), energy methods (Elsisy et al, 2015; Ling and Cao, 2016) and various beam theories (Qi et al, 2015; Ye et al, 2010).…”
Section: Introductionmentioning
confidence: 99%