2019
DOI: 10.1177/1045389x19835956
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Nonlinear vibration analysis of multiscale doubly curved piezoelectric composite shell in hygrothermal environment

Abstract: This research studied large amplitude vibration behaviors of multiscale composites doubly curved shells with piezoelectric layer. By using Reddy’s third-order shear deformation theory, the strains and stresses are obtained. According to the Halpin–Tsai model three-phase composites layers are considered. The governing equations of the multiscale doubly curved shell are derived by implementing the Hamilton’s principle and are solved via homotopy perturbation method. For investigating correctness and accuracy, th… Show more

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Cited by 29 publications
(5 citation statements)
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“…In order to examine the stability responses of MSH nanocomposite structures based on smart shape memory alloy (SMA) with account of the effect of heat gradient as well as moisture concentration, Karimiasl, Ebrahimi, and Akgöz [171] adapted the TSDT for the doubly-curved shells. Additionally, a vibration study project to ascertain the free and forced vibrational properties of MSH smart nanocomposite doublycurved shells took the nonlinearity effects into account [172,173].…”
Section: Nanocomposites (Msh)mentioning
confidence: 99%
“…In order to examine the stability responses of MSH nanocomposite structures based on smart shape memory alloy (SMA) with account of the effect of heat gradient as well as moisture concentration, Karimiasl, Ebrahimi, and Akgöz [171] adapted the TSDT for the doubly-curved shells. Additionally, a vibration study project to ascertain the free and forced vibrational properties of MSH smart nanocomposite doublycurved shells took the nonlinearity effects into account [172,173].…”
Section: Nanocomposites (Msh)mentioning
confidence: 99%
“…It is considered that the sandwich panel is exposed to external electric voltage V, magnetic potential, Γ and variation of temperature applied forces. N can be written as (Karimiasl et al, 2019)whereFurthermore, f and Λ is the excitation amplitudes and frequency.Substitution of equations (19)–(21) into equation (18) and setting the coefficients of δu0n,δv0n,δw0n,δnormalφxn, and δnormalφθn to zero…”
Section: Theoretical Formulationmentioning
confidence: 99%
“…It is considered that the sandwich panel is exposed to external electric voltage V , magnetic potential, Γ and variation of temperature applied forces. N can be written as (Karimiasl et al, 2019)…”
Section: Governing Equationsmentioning
confidence: 99%
“…To obtain the governing equations, the extended Hamilton's principle can be formulated as follows [9,10,[77][78][79][80][81]83]:…”
Section: Extended Hamilton's Principlementioning
confidence: 99%