TY - GEN
T1 - Three-dimensional vibration analysis of rotating laminated composite blades
AU - McGee, O. G.
AU - Chu, H. R.
N1 - Publisher Copyright:
© 1993 by ASME.
PY - 1993
Y1 - 1993
N2 - This work offers the first known three-dimensional (3-D) continuum vibration analysis for rotating, laminated composite blades. A cornerstone of this work is that the dynamical energies of the rotating blade are derived from a 3-D 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 dynamical 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 which describe numerical convergence studies showing the validity of the assumed displacement polynomials used herein. Nondimensional frequency data is 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 ofa 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 (hi/ht), blade pretwist angle (Φ0 ), composite fiber orientation angle (Θ), and angular velocity (Ω). Additional examples are givenwhich elucidate the significance of the linear and nonlinear kinematics used in the present 3-D formulation along with the importance of the Coriolis acceleration terms included in the analysis.
AB - This work offers the first known three-dimensional (3-D) continuum vibration analysis for rotating, laminated composite blades. A cornerstone of this work is that the dynamical energies of the rotating blade are derived from a 3-D 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 dynamical 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 which describe numerical convergence studies showing the validity of the assumed displacement polynomials used herein. Nondimensional frequency data is 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 ofa 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 (hi/ht), blade pretwist angle (Φ0 ), composite fiber orientation angle (Θ), and angular velocity (Ω). Additional examples are givenwhich elucidate the significance of the linear and nonlinear kinematics used in the present 3-D formulation along with the importance of the Coriolis acceleration terms included in the analysis.
UR - http://www.scopus.com/inward/record.url?scp=84926051831&partnerID=8YFLogxK
U2 - 10.1115/93-GT-133
DO - 10.1115/93-GT-133
M3 - Conference contribution
AN - SCOPUS:84926051831
T3 - ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition, GT 1993
BT - Combustion and Fuels; Oil and Gas Applications; Cycle Innovations; Heat Transfer; Electric Power; Industrial and Cogeneration; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; IGTI Scholar Award
PB - American Society of Mechanical Engineers
T2 - ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition, GT 1993
Y2 - 24 May 1993 through 27 May 1993
ER -