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Nonlinear Vibration of Rotating Pre-deformed Blade with Thermal Gradient by Bo Zhang; Yueming Li is a Engineering article available to read on EtoBox.

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In this paper, the nonlinear dynamic behavior is investigated for a rotating pre-deformed pretwisted blade subjected to harmonic gas pressure. The pre-deformation curve produced by thermal gradient is derived. A novel nonlinear vibration system is established by considering the influence of pre-deformation. The combination of the Lagrange principle and the assumed modes method is utilized to obtain the motion equations, and then the equations are transformed into a dimensionless form through introducing a set of dimensionless parameters. For the purpose of ensuring high precision in determination of the internal resonance condition, the equations of motion are discretized by adequate trial functions. An eigenvalue analysis is conducted on the corresponding linear system to obtain the natural frequencies and examine the possibility of the 2:1 internal resonance. The method of multiple scales is developed to solve the resulting multi-degree-offreedom nonlinear ordinary differential equations. A numerical integration by means of Runge-Kutta is performed to establish the validity of the derived formulations. The evolution of frequency response curves with

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Author

Bo Zhang; Yueming Li

Publisher

Springer Science and Business Media LLC

Published

2016

Language

EN

Field

Engineering (Physical Sciences)