Nonlinear vibrations and chaotic phenomena of functionally graded material truncated conical shell subject to aerodynamic and in-plane loads under 1:2 internal resonance relation

• Published in: Archive of applied mechanics (1991) Vol. 91; no. 3; pp. 883 - 917
• Main Authors: Yang, S. W., Hao, Y. X., Yang, L., Liu, L. T.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2021; Springer Nature B.V
• Subjects: Aerodynamic loads; Aerodynamics; Classical Mechanics; Conical shells; Damping; Differential equations; Dynamical systems; Engineering; Equations of motion; Functionally gradient materials; Hamilton's principle; Load; Mach number; Material properties; Nonlinear dynamics; Nonlinear equations; Ordinary differential equations; Original; Piston theory; Poincare maps; Resonance; Shear deformation; Shell theory; Temperature dependence; Theoretical and Applied Mechanics; Chaos; Conical shell; Nonlinear vibrations; Functionally graded materials; 1:2 Internal resonance

This paper focuses on the nonlinear dynamic responses of a functionally graded material (FGM) truncated conical shell under 1:2 internal resonance relation. The FGM truncated conical shell is subjected to the in-plane load and the aerodynamic load along the meridian direction. According to a power-l...