Nonlinear dynamic characteristics of symmetric rectangular honeycomb sandwich thin panel

Abstract

In the present work, nonlinear dynamics of symmetric rectangular honeycomb sandwich thin panel is investigated. The nonlinear governing equations of the thin panel are derived by using Hamilton’s principle and Reddy’s third-order shear deformation theory. After that, the Galerkin method is used to discretize the equation of motion, resulting in a set of ordinary differential equations with respect to time. The ordinary differential equations are solved analytically by utilizing the homotopy analysis method. The influence of structural parameters to the nonlinear frequencies of the symmetric rectangular honeycomb sandwich panel with simply supported boundaries along all four edges is discussed by using the analytic approximation method. Our findings demonstrate that the nonlinear frequency ratio decreases first and then increases with the increase of the width-to-length ratio and thickness-to-length ratio. When the width-to-length ratio is greater than 10, the nonlinear frequency ratio remains almost unchanged with the further increase of width-to-length ratio.

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

“…In framework HSDT and utilizing the Galerkin method, the nonlinear dynamic response of the honeycomb sandwich panel is analyzed by Li et al (2021). According to the theory of elasticity, the bending response of carbon-nanotube reinforced composite cylindrical panel integrated with piezoelectric layers using state space technique has been presented by Alibeigloo (2016).…”

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

“…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). In framework HSDT and utilizing the Galerkin method, the nonlinear dynamic response of the honeycomb sandwich panel is analyzed by Li et al (2020). According to the theory of elasticity, the bending response of carbon-nanotube reinforced composite cylindrical panel integrated with piezoelectric layers using the state-space technique has been presented by Alibeigloo (2016).…”