Non-linear vibrations of sandwich viscoelastic shells

Abstract

This paper deals with the non-linear vibration of sandwich viscoelastic shell structures. Coupling a harmonic balance method with the Galerkin's procedure, one obtains an amplitude equation depending on two complex coefficients. The latter are determined by solving a classical eigenvalue problem and two linear ones. This permits to get the nonlinear frequency and the non-linear loss factor as functions of the displacement amplitude. To validate our approach, these relationships are illustrated in the case of a circular sandwich ring.

Nonlinear vibration characteristic of a sandwich cylindrical panel with auxetic core and GPLRC facing sheets embedded with piezoelectric layers

“…Alibeigloo (2019) presented the transient response of composite plates subjected to thermal shock via Lord-Shulman theory and using Laplace transform. Recently, by employing the Galerkin method, the nonlinear vibration of composite viscoelastic shells is analyzed by Benchouaf et al (2018) based on classical shell theory. Based on the experimental model, Wang et al (2019a) studied the flexible core with a linear piezoelectric actuator wing skeletal structure.…”

Nonlinear aeroelastic analysis of sandwich composite cylindrical panel with auxetic core subjected to the thermal environment

“…Ebrahimi et al (2019) investigated the vibration behavior of a nanocomposite beam under a magnetic field. Benchouaf et al (2018) studied the nonlinear frequency response of composite viscoelastic shells. Supersonic flutter and vibration characteristic of trapezoidal plates with an orthotropic honeycomb core based on the first-order shear deformation theory (FSDT) was investigated by Torabi et al (2019).…”

Nonlinear dynamic and forced vibration characteristic analysis of sandwich panel with double-U auxetic core and GPLRC facing sheets embedded with piezoelectric layers

“…Alibeigloo (2019) presented the transient response of composite plates subjected to thermal shock via Lord-Shulman theory and using Laplace transform. Recently, by employing the Galerkin method, the nonlinear vibration of composite viscoelastic shell has been analyzed by Benchouaf et al (2018) based on classical shell theory. Via the theory of elasticity and using GDQM, the vibration analysis of a viscoelastic cylindrical shell have been investigated by Mohajel Sadeghi and Alibeigloo (2019).…”