Modeling of torsion actuation of beams using inclined piezoelectric actuators

Elshafei, M. Adnan; Farid, Akhmad; Omer, A. A.

doi:10.1007/s00419-014-0910-6

Cited by 10 publications

(10 citation statements)

References 26 publications

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“…(6), the displacement at the interface of the composite structure is continuous, and the neutral axis of the substrate is moved from the original position as shown in Fig. 3.…”

Section: Modified Pin Force Modelmentioning

confidence: 99%

“…Traditional actuator and motor became more and more difficult to meet these requirements. An effective approach to solve the problem is to integrate active materials into structure, such as shape memory alloys [3,4], piezoelectrics [5,6] and magnetostrictive materials [7]. The most common form of integration is bonding active materials to the surface of structure.…”

Section: Introductionmentioning

confidence: 99%

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A modified pin force model for beams with active material bonded

Zhang

2016

Materials & Design

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“…(6), the displacement at the interface of the composite structure is continuous, and the neutral axis of the substrate is moved from the original position as shown in Fig. 3.…”

Section: Modified Pin Force Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A modified pin force model for beams with active material bonded

Zhang

2016

Materials & Design

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“…For the beam type laminates, the plane stress assumption is adapted and the width along y direction is assumed to be stress free. Therefore, Eq.6a is reduced to Eq.6b and only the transformed piezoelectric coefficient along x axis is considered [12]. are the transformed reduced stiffness matrix and transformed piezoelectric modules in the k th orthotropic layer, respectively.…”

Section: Mathematical Modellingmentioning

confidence: 99%

“…ωi k , i={1,2} shown in Eq.12 represents the linear interpolation function of the k th orthotropic layer in a smart piezo-composite laminate. ω ω (12) Pn, ta, and tp in Eq.12 are the number of inclined piezoelectric actuators, and actuator thickness, and host structure (composite laminate) thickness, respectively (See Fig.1). Governing partial differential equation relating the transverse bending and twisting moments to mid-plane displacements and electro-mechanical loads in a smart laminated piezo composite plate is stated in Eq.13 [38].…”

Section: Mathematical Modellingmentioning

confidence: 99%

A novel explicit solution for twisting control of smart laminated cantilever composite plates/beams using inclined piezoelectric actuators

Gohari

Sharifi

Vrcelj

2017

Composite Structures

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In the present work, a novel explicit solution is proposed for obtaining twisting deformation and optimal shape control of smart laminated cantilever composite plates/beams using inclined piezoelectric actuators. The linear piezoelectricity and plate theories were adapted for the analysis. A novel double integral multivariable Fourier transformation method and discretised higher order partial differential unit step function equations were employed. For the first time, an exact solution is developed to analyse electro-mechanical twisting moments in smart composite structures. Since there are no published benchmark results for verification, a series of simple, accurate and robust finite element (FE) analysis models and realistic electro-mechanical coupled FE procedures are developed for the effective prediction of the structural behaviour of the smart laminated piezo-composite structures under arbitrary loads. In addition to the novelty of the explicit solution, more comprehensive FE simulations of smart structures and step-by-step guidelines are discussed. The effect of various parameters including electro-mechanical twisting coupling, layup thickness, actuators size, placement, and inclination angle, electrical voltage, stacking sequence, and geometrical dimension was taken into account. The comparison of results showed an excellent agreement. Unlike the earlier studies, the proposed method does not require the characteristic and trial deflection function to be predetermined.

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“…Under various mechanical boundary conditions, Smits et al [11] derived the constituent equations for piezoelectric bimorphs. By adopting Euler–Bernoulli beam theory, Elshafei et al [12] made a static analysis for beams with piezoelectric actuators subjected to axial, transverse, and torsion loads, and derived the equation of motion of the structure system. Without specifying the function expressions of materials, Zhong and Yu [13,14] proposed the general elasticity solutions for FGPM beams subjected to various loads.…”

Section: Introductionmentioning

confidence: 99%

One-Dimensional Theoretical Solution and Two-Dimensional Numerical Simulation for Functionally-Graded Piezoelectric Cantilever Beams with Different Properties in Tension and Compression

Yang

Jing

et al. 2019

Polymers

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The existing studies indicate polymers will present obviously different properties in tension and compression (bimodular effect) which is generally ignored because of the complexity of the analysis. In this study, a functionally graded piezoelectric cantilever beam with bimodular effect was investigated via analytical and numerical methods, respectively, in which a one-dimensional theoretical solution was derived by neglecting some unimportant factors and a two-dimensional numerical simulation was performed based on the model of tension-compression subarea. A full comparison was made to show the rationality of one-dimensional theoretical solution and two-dimensional numerical simulation. The result indicates that the layered model of tension-compression subarea also makes it possible to use numerical technique to simulate the problem of functionally graded piezoelectric cantilever beam with bimodular effect. Besides, the modulus of elasticity E* and the bending stiffness D* proposed in the one-dimensional problem may succinctly describe the piezoelectric effect on the classical mechanical problem without electromechanical coupling, which shows the advantages of one-dimensional solution in engineering applications, especially in the analysis and design of energy harvesting/sensing/actuating devices made of piezoelectric polymers whose bimodular effect is relatively obvious.

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Modeling of torsion actuation of beams using inclined piezoelectric actuators

Cited by 10 publications

References 26 publications

A modified pin force model for beams with active material bonded

A modified pin force model for beams with active material bonded

A novel explicit solution for twisting control of smart laminated cantilever composite plates/beams using inclined piezoelectric actuators

One-Dimensional Theoretical Solution and Two-Dimensional Numerical Simulation for Functionally-Graded Piezoelectric Cantilever Beams with Different Properties in Tension and Compression

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