nonsingular linear transformation
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Research on the Sufficient Condition for the Existence of Periodic Solution of FGM Subjected to Aero-Thermal Load

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.249-250.326 ◽

2012 ◽

Vol 249-250 ◽

pp. 326-331

Author(s):

Jing Li ◽

Xiao Na Yin ◽

Xiao Dong Jin

Keyword(s):

Dynamical System ◽

Periodic Solution ◽

Linear Transformation ◽

Thermal Load ◽

Nonlinear Dynamical System ◽

Sufficient Condition ◽

Nonlinear Dynamical ◽

Multi Scale ◽

Approach Method ◽

Nonsingular Linear Transformation

In this paper, the average equations are given through using the multi-scale approach method. By using the Melinkov function, the nonsingular linear transformation and the Poincaré map, the sufficient condition for existence of periodic solution of the nonlinear dynamical system about the FGM subjected to aero-thermal load is derived.

A decomposition depended on directions for nonsingular linear transformation

Applied Mathematics and Mechanics ◽

10.1007/bf00189567 ◽

1996 ◽

Vol 17 (8) ◽

pp. 789-794