Dynamical and chaotic analyses of single-variable-edge cylindrical panels made of sandwich auxetic honeycomb core layer in thermal environment

This paper proposes a new structure of the cylindrical panel called single-variable-edge (SVE) panel resting on a Winkler-Pasternak elastic foundation to form a mechanical system. The panel is made of sandwich structures with a negative Poisson's ratio auxetic honeycomb core layer. The classical shell theory and Von-Karman nonlinearity assumption are used to establish the motion equation, then Galerkin's method is applied to obtain the characteristics of the system. The comparisons to the previous article and the finite element analysis are shown in the validation section to confirm the reliability and accuracy of the present calculating procedure. In the results section, the dynamical characteristics of thermo-mechanical systems are investigated through the impact of materials and geometrics. In addition, the dynamics and chaos phenomena of the SVE panel under the critical external load are presented in three phases: stability, the beginning of stabilization and completely chaos state. The new structure has great potential in practical engineering application and is expected to contribute knowledge to the plate/shell research field.