&lt;title&gt;Bonding stresses between piezoelectric actuators and elastic beams&lt;/title&gt;

Seemann, Wolfgang; Wolf, Kai; Straub, Alexander; Hagedorn, Peter; Chang, Fu‐Kuo

doi:10.1117/12.275691

Cited by 11 publications

(5 citation statements)

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“…In the case of a thin beam with relatively long actuator(s) attached along its length, the elastic curve and deflections can be determined by applying the considered theory for parts provided with actuators, and the proper passive beam theory for the passive parts, following the example of [63]. Further discussion and more exact solutions for this problem may be found in [88,89].…”

Section: Beams With the Actuator Present In Only A Portion Of The Bea...mentioning

confidence: 99%

Analysis and optimization of loaded cantilever beam microactuators

Kruusing¹

2000

Smart Mater. Struct.

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A review of the design and modelling of cantilever beam microactuators is presented. The structures, fabricated by film technology, often have varying composition in the normal to film plane direction and stress-strain relations easily measurable only in the film plane. In this paper, a simple and straightforward analytical model of the mechanical response of cantilever beam microactuators loaded normally at the tip is presented, considering only the commonly known material properties (stress-strain relations in beam length direction), whereas the material properties may vary continuously in the beam thickness direction. The elastic curve and normal reaction force at the beam's tip are expressed via three integrals over the longitudinal stiffness coefficient of the material and the externally-induced longitudinal free strains. A set of special solutions for two-layer beams, including their optimum dimensions for maximal generated force and tip deflection, but also for some beam structures with continuously varying material properties in the thickness direction, is presented and compared with formerly published data and FEM simulations. Features of the elastic curve of tip normal loaded cantilever beam actuators are analysed. The analogy with passive loaded beam solutions is highlighted. A method for determining the reaction force at the beam's tip by elastic curve parameters is presented.

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Section: Beams With the Actuator Present In Only A Portion Of The Bea...mentioning

confidence: 99%

Analysis and optimization of loaded cantilever beam microactuators

Kruusing¹

2000

Smart Mater. Struct.

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“…their rather great thicknesses would exert here their main influence (depending also on the dimension of the finite elements used). This strain concentration at the ends of the actuation zone is furthermore known to be much higher in dynamic vibration than in static bending [16].…”

Section: Influence Of the Adhesive Layer Thicknessmentioning

confidence: 98%

The influence of temperature and bonding thickness on the actuation of a cantilever beam by PZT patches

Nguyen¹,

Pietrzko²,

Buetikofer³

2004

Smart Mater. Struct.

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The goal of this work is to investigate the sensitivity of transfer of piezoelectric actuation efficiency to a cantilever beam due to variations in the environmental temperature and possible variations in the thickness of the adhesive layers bonding actuators to a beam. Investigations are first done analytically on the basis of a static linear longitudinal strain distribution along the whole beam/bonding/actuators section, as well as the shear lag model. In addition to the known conditions for transfer of actuation efficiency such as impedance matching, one obtains further requirements for a transfer of this actuation efficiency, of which the most important is a small thickness of the adhesive layer. However, the influences of temperature and of bonding thickness are smaller than expected; that is, variations induced by practical mounting and by use outside the laboratory have no pronounced effect on the transfer of the actuation efficiency. Using then the finite element program ANSYS, the complete system was modelled, including the adhesive layers. For the FEM calculations, the temperature dependences of all material properties were linearized. Results show that the eigenfrequencies of the beam vibration decrease only slightly at higher temperature and for thicker adhesive layers, without any reduction in the resonance amplitude. The findings are partly validated by experimental measurements.

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“…Most of the modeling effort has focused on capturing the stress distribution within conventional actuators. [7][8][9][10][11][12][13][14] Their bonded construction results in extreme stress states at the ends of the structure, facilitating crack initiation at the interface between adjacent material layers. There has been some limited studies into the reliability of piezoceramic actuators in general, concentrating on common actuation architectures like stacks and layered benders.…”

Section: Introductionmentioning

confidence: 99%

“…There has been some limited studies into the reliability of piezoceramic actuators in general, concentrating on common actuation architectures like stacks and layered benders. [12][13][14][15][16][17] An elegant approach to solve these reliability problems is to grade the properties of a monolithic piezoceramic, producing Functionally Graded Piezoceramics (FGP). [18][19][20][21][22][23][24][25][26][27] These monolithic materials exploit material gradients to produce similar deformations to conventional actuation architectures, yet preclude many of the common architecture failure mechanisms.…”

Section: Introductionmentioning

confidence: 99%