This work offers the first known three-dimensional continuum vibration analysis for rotating, laminated composite blades. A cornerstone of this work is that the dynamic energies of the rotating blade are derived from a three-dimensional elasticity-based, truncated quadrangular pyramid model incorporating laminated orthotropicity, full geometric nonlinearity using an updated Lagrangian formulation and Coriolis acceleration terms. These analysis sophistications are included to accommodate the nonclassical directions of modern blade designs comprising thin, wide chord-lifting surfaces of laminated composite construction. The Ritz method is used to minimize the dynamic energies with displacements approximated by mathematically complete polynomials satisfying the vanishing displacement conditions at the blade root section exactly. Several tables and graphs are presented that describe numerical convergence studies showing the validity of the assumed displacement polynomials used herein. Nondimensional frequency data are presented for various rotating, truncated quadrangular pyramids, serving as first approximations of practical blades employed in aircraft engines and fans. A wide scope of results explain the influence of a number of parameters coined to rotating, laminated composite blade dynamics, namely aspect ratio (a/b), chord ratio (c/b), thickness ratio (b/h), variable thickness distribution (h1/ht), blade pretwist angle (φ0), composite fiber orientation angle (θ), and angular velocity (Ω). Additional examples are given that elucidate the significance of the linear and nonlinear kinematics used in the present three-dimensional formulation along with the importance of the Coriolis acceleration terms included in the analysis.
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July 1994
Research Papers
Three-Dimensional Vibration Analysis of Rotating Laminated Composite Blades
O. G. McGee,
O. G. McGee
School of Civil Engineering, Georgia Institute of Technology, Atlanta, GA 30332
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H. R. Chu
H. R. Chu
Department of Civil Engineering, Ohio State University, Columbus, OH
Search for other works by this author on:
O. G. McGee
School of Civil Engineering, Georgia Institute of Technology, Atlanta, GA 30332
H. R. Chu
Department of Civil Engineering, Ohio State University, Columbus, OH
J. Eng. Gas Turbines Power. Jul 1994, 116(3): 663-671 (9 pages)
Published Online: July 1, 1994
Article history
Received:
March 1, 1993
Online:
April 24, 2008
Citation
McGee, O. G., and Chu, H. R. (July 1, 1994). "Three-Dimensional Vibration Analysis of Rotating Laminated Composite Blades." ASME. J. Eng. Gas Turbines Power. July 1994; 116(3): 663–671. https://doi.org/10.1115/1.2906871
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