Linear and nonlinear free vibration of a multilayered magneto-electro-elastic doubly-curved shell on elastic foundation

Shooshtari, Alireza; Razavi, Soheil

doi:10.1016/j.compositesb.2015.03.070

Cited by 63 publications

(23 citation statements)

References 59 publications

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“…Duc et al [28] investigated the nonlinear dynamic response and vibration of the imperfect laminated nanocomposite panel resting on elastic foundation and subjected to hydrodynamic loads. Shooshtari and Razavi [29] studied the nonlinear and linear free vibration of symmetrically laminated magnetoelectroelastic doubly curved thin shell on an elastic foundation. Moreover, there are many methods to study the free vibration of the plates with elastic edge restraints, such as an accurate variational formulation [30], a general Ritz formulation [31], the superposition method [32], and the differential quadrature method [33].…”

Section: Introductionmentioning

confidence: 99%

Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints

Yang

2017

Shock and Vibration

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To investigate the dynamic behavior of laminated plates with nonlinear elastic restraints, a varied constraint force model and a systematic numerical procedure are presented in this work. Several kinds of typical relationships of force-displacement for spring are established to simulate the nonlinear elastic restraints. In addition, considering the restraining moments of flexible pads, the pads are modeled by translational and rotational springs. The displacement- dependent constraint forces are added to the right-hand side of equations of motion and treated as additional applied loads. These loads can be explicitly defined, via an independent set of nonlinear load functions. The time histories of transverse displacements at typical points of the laminated plate are obtained through the transient analysis. Numerical examples show that the present method can effectively treat the geometrically nonlinear transient response of plates with nonlinear elastic restraints.

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Section: Introductionmentioning

confidence: 99%

Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints

Yang

2017

Shock and Vibration

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“…Shooshtari et al [12] studied nonlinear forced vibration of clamped functionally graded beams without damping. Similarly, nonlinear vibrations of magneto-electroelastic shells [14] and piezoelectric fiber reinforced composites [15] have also been studied. Qu et al [16] presented a three-dimensional linear free vibration analysis of composites of different parallelepipeds including beams, plates and solids.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear forced vibration of carbon fiber/epoxy prepreg composite beams: Theory and experiment

Chakrapani

Barnard

Dayal

2016

Composites Part B: Engineering

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In the present work, a nonlinear forced vibration model for fiber reinforced composites was developed with varying fiber orientations and laminate sequences. A nonlinear viscoelastic beam model was developed using nonlinear von Kármán strains and Kelvin-Voigt stress-strain relationship to model viscoelasticity. The effect of fiber orientation and laminate sequence was included in the model using classic laminated plate theory. Method of multiple time scales was used to solve the resulting nonlinear equation and an inverse problem approach was used to extract the model parameters from experimental data. Theoretical model parameters were calculated and compared to experimentally determined values for different fiber orientations and laminate sequences, and a nominally good qualitative agreement was observed. Finally, the experimentally extracted model parameters were substituted in the analytical model, and the model predictions in terms of frequency shifts were compared against experimental observations. Nominally good agreement was observed for 45° and 90° fiber orientations, however the experimental observations didn't match well for 0°. ABSTRACTIn the present work, a nonlinear forced vibration model for fiber reinforced composites was developed with varying fiber orientations and laminate sequences. A nonlinear viscoelastic beam model was developed using nonlinear von Kármán strains and Kelvin-Voigt stress-strain relationship to model viscoelasticity. The effect of fiber orientation and laminate sequence was included in the model using classic laminated plate theory. Method of multiple time scales was used to solve the resulting nonlinear equation and an inverse problem approach was used to extract the model parameters from experimental data. Theoretical model parameters were calculated and compared to experimentally determined values for different fiber orientations and laminate sequences, and a nominally good qualitative agreement was observed. Finally, the experimentally extracted model parameters were substituted in the analytical model, and the model predictions in terms of frequency shifts were compared against experimental observations.Nominally good agreement was observed for 45 0 and 90 0 fiber orientations, however the experimental observations didn't match well for 0 0 .

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“…Ansari et al (2015) developed a nonlocal geometrically nonlinear beam model for magnetoelectroelastic nanobeams subjected to external electric voltage, external magnetic potential and uniform temperature rise. Recently, Shooshtari and Razavi (2015c) investigated large amplitude vibration of laminated magnetoelectroelastic doubly-curved panels.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory

Shooshtari

Razavi

2016

Lat. Am. j. solids struct.

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Free vibration of a magnetoelectroelastic rectangular plate is investigated based on the Reddy's third-order shear deformation theory. The plate rests on an elastic foundation and it is considered to have different boundary conditions. Gauss's laws for electrostatics and magnetostatics are used to model the electric and magnetic behavior. The partial differential equations of motion are reduced to a single partial differential equation and then by using the Galerkin method, the ordinary differential equation of motion as well as an analytical relation for the natural frequency of the plate is obtained. Some numerical examples are presented to validate the proposed model and to investigate the effects of several parameters on the vibration frequency of the considered smart plate.

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Linear and nonlinear free vibration of a multilayered magneto-electro-elastic doubly-curved shell on elastic foundation

Cited by 63 publications

References 59 publications

Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints

Geometrically Nonlinear Transient Response of Laminated Plates with Nonlinear Elastic Restraints

Nonlinear forced vibration of carbon fiber/epoxy prepreg composite beams: Theory and experiment

Vibration Analysis of a Magnetoelectroelastic Rectangular Plate Based on a Higher-Order Shear Deformation Theory

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