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research-article

Accurate nonlinear dynamics and mode aberration of rotating blades

[+] Author and Article Information
Matteo Filippi

Mul2 group, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Italy
matteo.filippi@polito.it

Alfonso Pagani

Mul2 group, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Italy
alfonso.pagani@polito.it

Erasmo Carrera

Mul2 group, Department of Mechanical and Aerospace Engineering, Politecnico di Torino, Italy
erasmo.carrera@polito.it

1Corresponding author.

ASME doi:10.1115/1.4040693 History: Received May 09, 2018; Revised June 26, 2018

Abstract

Nonlinear dynamics and mode aberration of rotating plates and shells are discussed in this work. The mathematical formalism is based on the one-dimensional 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 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 multi-section blades and shells with different radii of curvature. Particular attention is focussed 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.

Copyright (c) 2018 by ASME
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