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Dynamics and control of a flexible rotating clamped-free beam by SDRE strategy

Vinicius Piro Barragam (Department of Mechanical and Aeronautical Engineering, Instituto Tecnologico de Aeronautica, Sao Jose dos Campos, Sao Paulo, Brazil)
Andre Fenili (Center for Engineering, Modeling and Applied Social Sciences, Universidade Federal do ABC, Santo Andre, Brazil)
Ijar Milagre da Fonseca (Department of Mechanical and Aeronautical Engineering, Instituto Tecnologico de Aeronautica, Sao Jose dos Campos, Sao Paulo, Brazil)

Aircraft Engineering and Aerospace Technology

ISSN: 0002-2667

Article publication date: 14 March 2019

Issue publication date: 15 August 2019

Abstract

Purpose

The purpose of this paper is the dynamic analysis of the coupled rotation and vibration motion of a system containing a central rigid body to which is attached a flexible beam.

Design/methodology/approach

The methodology includes the Lagrange’s formulation by using the extended Hamilton’s Principle in conjunction with the assumed modes method to describe the system of equations by ordinary differential equations. The first unconstrained mode of vibration was considered as the solution for the transversal displacement. Such mode emerges as the eigenvalue problem solution associated to the dynamics of the system. The control strategy adopted is a nonlinear analogy of the linear quadratic regulator problem as the Riccati equation is solved at every integration step during the numerical solutions. This strategy is known as state-dependent Riccati equation.

Findings

By means of computational simulations, it was found the relation between controlled motion and inertia ratio.

Research limitations/implications

This work is limited to planar case and fixed hub.

Practical implications

Practical implications of this work realize the design of lighter yet dexterous structures.

Originality/value

The contribution of this paper is the position and vibration control of a flexible beam accounting for nonlinearity effects and the fact that the structure to where it is clamped has a comparable inertia.

Keywords

Citation

Piro Barragam, V., Fenili, A. and Milagre da Fonseca, I. (2019), "Dynamics and control of a flexible rotating clamped-free beam by SDRE strategy", Aircraft Engineering and Aerospace Technology, Vol. 91 No. 7, pp. 1018-1026. https://doi.org/10.1108/AEAT-11-2017-0240

Publisher

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Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited