Nonlinear dynamics and mode aberration of rotating plates and shells are discussed in this work. The mathematical formalism is based on the one-dimensional (1D) Carrera unified formulation (CUF), which enables to express the governing equations and related finite element arrays as independent of the theory approximation order. As a consequence, three-dimensional (3D) solutions accounting for couplings due to geometry, material, and inertia can be included with ease and with low computational costs. Geometric nonlinearities are incorporated in a total Lagrangian scenario and the full Green-Lagrange strains are employed to outline accurately the equilibrium path of structures subjected to inertia, centrifugal forces, and Coriolis effect. A number of representative numerical examples are discussed, including multisection blades and shells with different radii of curvature. Particular attention is focused on the capabilities of the present formulation to deal with nonlinear effects, and comparison with s simpler linearized approach shows evident differences, particularly in the case of deep shells.
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November 2018
Research-Article
Accurate Nonlinear Dynamics and Mode Aberration of Rotating Blades
M. Filippi,
M. Filippi
Mul2 Group,
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
e-mail: matteo.filippi@polito.it
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
e-mail: matteo.filippi@polito.it
Search for other works by this author on:
A. Pagani,
A. Pagani
Mul2 Group,
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
Search for other works by this author on:
E. Carrera
E. Carrera
Mul2 Group,
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
Search for other works by this author on:
M. Filippi
Mul2 Group,
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
e-mail: matteo.filippi@polito.it
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
e-mail: matteo.filippi@polito.it
A. Pagani
Mul2 Group,
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
E. Carrera
Mul2 Group,
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
Department of Mechanical and
Aerospace Engineering,
Politecnico di Torino,
Turin 10129, Italy
1Corresponding author.
Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received May 9, 2018; final manuscript received June 26, 2018; published online July 24, 2018. Assoc. Editor: Ahmet S. Yigit.
J. Appl. Mech. Nov 2018, 85(11): 111004 (7 pages)
Published Online: July 24, 2018
Article history
Received:
May 9, 2018
Revised:
June 26, 2018
Citation
Filippi, M., Pagani, A., and Carrera, E. (July 24, 2018). "Accurate Nonlinear Dynamics and Mode Aberration of Rotating Blades." ASME. J. Appl. Mech. November 2018; 85(11): 111004. https://doi.org/10.1115/1.4040693
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