Functionally graded piezoelectric cantilever beam under load

Shi, Zhifei; Chen, Yanqing

doi:10.1007/s00419-004-0346-5

Cited by 95 publications

(35 citation statements)

References 16 publications

(20 reference statements)

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“…Kouvatov et al (1999) compared the bending behavior of bimorphic and polymorphic bending actuators based on finite element analysis. For the following three kinds of piezoelectric cantilevers: (A) there is a potential function for body forces (Shi, 2002), (B) the piezoelectric parameter g 31 changes linearly (Liu and Shi, 2004) and (C) the elastic parameter S 33 and body forces change simultaneously (Shi and Chen, 2004), the elastic analyses are provided and the fundamental solutions are obtained.…”

Section: Introductionmentioning

confidence: 99%

Exact Solutions of Functionally Gradient Piezothermoelastic Cantilevers and Parameter Identification

Chen

Shi

2005

Journal of Intelligent Material Systems and Structures

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Based on the theory of elasticity, some exact solutions of functionally gradient piezothermoelastic cantilevers under different coupled loadings are obtained. As an application, these solutions have been successfully used to identify the gradient piezoelectric parameter and the thermal material coefficients. Besides, some numerical results have been carried out for the cantilever under two different kinds of loadings. It is found that the tip deflection of the cantilever agrees very well with the experimental and theoretical findings provided by other investigations. The present study also shows that the linear change of thermal material parameters does not influence the distribution of the stress and induction of the cantilever. But it influences the components of strain and electric field strength as well as the displacement and electric potential of the cantilever.

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Section: Introductionmentioning

confidence: 99%

Exact Solutions of Functionally Gradient Piezothermoelastic Cantilevers and Parameter Identification

Chen

Shi

2005

Journal of Intelligent Material Systems and Structures

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“…Cantilever beam is often used to model the behavior of piezoelectric sensors and actuators. For the piezoelectric cantilevers with gradient behavior for body force and for piezoelectric materials some exact analysis were studied (Shi, 2002;Liu and Shi, 2004;Shi and Chen, 2004), respectively. Based on EulerBernoulli beam theory, an analytical solution to calculate the tip deflection and blocking force of a cantilever actuator with graded elastic constant 3 when it is subjected to a transverse point load at the tip (Kruusing, 2000).…”

Section: Introductionmentioning

confidence: 99%

Exact three-dimensional analysis for static torsion of piezoelectric rods

Maleki

Naei

Hosseinian

et al. 2011

International Journal of Solids and Structures

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a b s t r a c tBased on the theory of elasticity, exact analytical and numerical solutions of piezoelectric rods under static torsion are studied. In this paper, direct solution method is used. The main scope is to check the extension of validity of assumptions in previous papers that had been made based on linear distribution of electric potential through the cross section and their influences on deflection and the angle of rotation. Stress and electric induction functions are employed to obtain the exact solution of the static and electrostatic equilibrium equations under torsional loading. It is shown that previous assumptions are valid only in some types of piezoelectric materials, while in other types these assumptions lead to considerable deviations from accurate modeling. The present analytical solutions are compared with three-dimensional finite element analysis results and absolute agreements are found. At the end of this article, torsional rigidity, shape-effects on induced piezoelectric deformation and the range of valid region for linear distribution of electric potential assumption have been studied.

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“…These materials can sustain deformation when an electric field is applied to the structure and also generate an electric field when they are exposed to a strain field. As one of the first investigations on the mechanical behavior of FGP beam, Shi and Chen [41], studied the problem of a FG piezoelectric cantilever beam exposed to different loadings. Also, Doroushi et al [42] investigated the free and forced vibration characteristics of an FGPM beam subjected to thermo-electro-mechanical loads using the higher-order shear deformation beam theory.…”

Section: Introductionmentioning

confidence: 99%

Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment

Ebrahimi

Barati

2016

International Journal of Smart and Nano Materials

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In the present work, thermo-electro-mechanical buckling behavior of functionally graded piezoelectric (FGP) nanobeams is investigated based on higher-order shear deformation beam theory. The FGP nanobeam is subjected to four types of thermal loading including uniform, linear, and sinusoidal temperature rise as well as heat conduction through the beam thickness. Thermo-electromechanical properties of FGP nanobeam are supposed to change continuously in the thickness direction based on power-law model. To consider the influences of small-scale sizes, Eringen's nonlocal elasticity theory is adopted. Applying Hamilton's principle, the nonlocal governing equations of an FGP nanobeam in thermal environments are obtained and are solved using Naviertype analytical solution. The significance of various parameters, such as thermal loadings, external electric voltage, power-law index, nonlocal parameter, and slenderness ratio on thermal buckling response of size-dependent FGP nanobeams is investigated. ARTICLE HISTORY

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Functionally graded piezoelectric cantilever beam under load

Cited by 95 publications

References 16 publications

Exact Solutions of Functionally Gradient Piezothermoelastic Cantilevers and Parameter Identification

Exact Solutions of Functionally Gradient Piezothermoelastic Cantilevers and Parameter Identification

Exact three-dimensional analysis for static torsion of piezoelectric rods

Electromechanical buckling behavior of smart piezoelectrically actuated higher-order size-dependent graded nanoscale beams in thermal environment

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