Discrete Layer Analysis of Axisymmetric Vibrations of Laminated Piezoelectric Cylinders

Hussein, Mohamed S.; Heyliger, Paul R.

doi:10.1006/jsvi.1996.0230

Cited by 46 publications

(21 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Substituting ψ ,r and U r,r from equation (8) into equation (9) and using relation (7), in-plane normal and shear stresses in terms of state variables are obtained as follows…”

Section: Piezoelectric Layersmentioning

confidence: 99%

“…Exact elasticity solution was obtained by Chen et al [6] for an orthotropic cylindrical panel with a piezoelectric layer with infinite length. Hussein and Heyliger [7] developed a semianalytic solution technique, in which finite-element approximations in the shell thickness direction are combined with global approximation functions in the piezoelectric cylinder surface. Heyliger [8] derived an exact three-dimensional static solution for a simply supported laminated piezoelectric cylinder using the Frobenious method.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Static analysis of an anisotropic laminated cylindrical shell with piezoelectric layers using differential quadrature method

Alibeigloo

2008

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

A three-dimensional solution is presented for the static analysis of an anisotropic laminated cylindrical shell embedded in piezoelectric layers with arbitrary conditions at the ends, using the differential quadrature method (DQM). With the Soong assumption, governing equations are reduced to differential equations with constant coefficients. By applying the DQM to the obtained governing differential equations and to the boundary conditions along the longitudinal direction, new state equations for state variables are derived at discrete points. Stress, displacement, and electric potential distributions are obtained by solving these state equations. Both direct and inverse piezoelectric effects are investigated, and the influence of piezoelectric layers on the mechanical behaviour of the shell is studied. The method is validated by comparing the numerical results for the shell with the simply supported edges, which can be solved analytically.

show abstract

“…Substituting ψ ,r and U r,r from equation (8) into equation (9) and using relation (7), in-plane normal and shear stresses in terms of state variables are obtained as follows…”

Section: Piezoelectric Layersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Static analysis of an anisotropic laminated cylindrical shell with piezoelectric layers using differential quadrature method

Alibeigloo

2008

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…Hussein and Heyliger [7] developed a semi-analytic solution technique, in which finite element approximations in the shell thickness direction are combined with global approximation functions in the piezoelectric cylinders surface. Static piezoelectric solution of simply-supported orthotropic circular cylindrical long panel was presented by Dumir et al [8].…”

Section: Introductionmentioning

confidence: 99%

Static Analyis of Anisotropic Laminated Cylindrical Shell with Piezoelectric Layers

Alibeigloo

Shakeri

2009

Mechanics of Advanced Materials and Structures

View full text Add to dashboard Cite

An exact elasticity solution for anisotropic cylindrical shell under internal pressure with piezoelectric sensor and actuator is obtained using the state space equation. Using the Fourier series expansion and Soong assumption, the governing equations reduced to ordinary differential equations with constant coefficients. The displacements, stresses and electric potentials are obtained by solving the obtained state equations. Both sensor and actuator effects are investigated. The method is validated by comparing numerical results for the shell without piezoelectric layers with those available in the literature.

show abstract

“…The problem becomes significantly more complicated when the structure stress-strain state is studied under any dynamic actions with coupled mechanical and electric stress fields taken into account. In this connection, it should be noted that the range of studies concerned with bodies of finite dimensions in the framework of the three-dimensional theory of electroelasticity is rather narrow, and most of these studies were aimed at determining the natural vibrations [1][2][3][4]. Results for a piezoceramic radially polarized finite-length cylinder were obtained for the steady-state mode of forces vibrations in [2].…”

Section: Introductionmentioning

confidence: 99%

Forced axisymmetric vibrations of a thick circular rigidly fixed piezoceramic plate

Shlyakhin

2014

Mech. Solids

View full text Add to dashboard Cite

A new closed-form solution of the axisymmetric nonstationary problem of elasticity is constructed for a circular thick piezoceramic plate whose outer cylindrical surface is rigidly fixed. The use of mixed boundary conditions for a curvilinear plane allows one to obtain sufficiently simple computational relations. The closed-form solution is constructed by the method of expansion in the vector eigenfunctions in the form of a structure algorithm of finite transformations. The obtained solutions are used to determine the natural vibration frequency, the stress-strain state of the considered element, and all characteristics of the induced electric field.

show abstract

Discrete Layer Analysis of Axisymmetric Vibrations of Laminated Piezoelectric Cylinders

Cited by 46 publications

References 0 publications

Static analysis of an anisotropic laminated cylindrical shell with piezoelectric layers using differential quadrature method

Static analysis of an anisotropic laminated cylindrical shell with piezoelectric layers using differential quadrature method

Static Analyis of Anisotropic Laminated Cylindrical Shell with Piezoelectric Layers

Forced axisymmetric vibrations of a thick circular rigidly fixed piezoceramic plate

Contact Info

Product

Resources

About