期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 25, 期 2, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S021812741550025X
关键词
Truncated conical shell; functionally graded materials; nonlinear dynamics; chaotic motion
资金
- National Natural Science Foundation of China [11272063, 11290152, 11472298]
- Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions [cittcd201304112]
- Natural Science Foundation of Tianjin City [13JCQNJC04400]
Nonlinear dynamic behaviors of ceramic-metal graded truncated conical shell subjected to complex loads are investigated. The shell is modeled by first-order shear deformation theory. The nonlinear partial differential governing equation in terms of transverse displacements of the FGM truncated conical shell is derived from the Hamilton's principle. Galerkin's method is then utilized to discretize the partial governing equations to a two-degree-of-freedom nonlinear ordinary differential equation. The temperature-dependent materials properties of the constituents are graded in the radial direction in accordance with a power-law distribution. The aerodynamic pressure can be calculated by using the first-order piston theory. The temperature field is assumed to be a steady-state constant-temperature distribution. Bifurcation diagrams, the maximum Lyapunov exponents, wave forms and phase portraits are obtained by numerical simulation to demonstrate the complex nonlinear dynamics response of the FGM truncated conical shell. The influences of the semi-vertex angle, the material gradient index, in-plane and aerodynamic load on the nonlinear dynamics are studied.
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