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A dynamic model of a novel oscillatory cutting brush for street sweeping in free rotation is developed. The bristles are modelled as cantilever beams. The equation of motion is determined through the theory of forced transverse vibrations of beams, and the solution is based on the normal-mode method. A sinusoidal angular speed function and a novel function, named VAP, are studied. The model is validated through finite element analyses. The effects of brush parameters on brush dynamics are identified. Notably, for the VAP function, a condition similar to resonance tends to occur in the stronger plane for bending deflections, when the frequency of the brush is an odd fraction of a natural frequency of the bristle for that plane. The model can also be applied to study the dynamics of a small-deflection cantilever beam, when the transverse external force is a squared, sinusoidal, triangle, or VAP wave.

Tipo de documento: Artículo - Article

Información adicional: Derechos de autor reservados

Palabras clave: Gutter brush, small deflection, transverse vibrations, resonance





Fuente: http://www.bdigital.unal.edu.co


Introducción



Modeling of an Oscillatory Freely-Rotating Cutting Brush for Street Sweeping Modelado de un cepillo oscilatorio para barrido de calles en rotación libre LIBARDO V.
VANEGAS-USECHE Ph.D., Professor, Facultad de Ingeniería Mecánica, Universidad Tecnológica de Pereira, Pereira, Colombia, lvanegas@utp.edu.co MAGD M.
ABDEL-WAHAB Ph.D., Professor, Department of Mechanical Construction and Production, Faculty of Engineering, Ghent University, B-9000 Gent, Belgium, Magd.AbdelWahab@UGent.be GRAHAM A.
PARKER Ph.D., Professor, Faculty of Engineering and Physical Sciences, University of Surrey, Guildford, Surrey GU2 7XH, UK, G.Parker@ surrey.ac.uk Received for review July 21 th, 2010, accepted March 14th, 2011, final version March, 31 th, 2011 ABSTRACT: A dynamic model of a novel oscillatory cutting brush for street sweeping in free rotation is developed.
The bristles are modelled as cantilever beams.
The equation of motion is determined through the theory of forced transverse vibrations of beams, and the solution is based on the normal-mode method.
A sinusoidal angular speed function and a novel function, named VAP, are studied.
The model is validated through finite element analyses.
The effects of brush parameters on brush dynamics are identified.
Notably, for the VAP function, a condition similar to resonance tends to occur in the stronger plane for bending deflections, when the frequency of the brush is an odd fraction of a natural frequency of the bristle for that plane.
The model can also be applied to study the dynamics of a small-deflection cantilever beam, when the transverse external force is a squared, sinusoidal, triangle, or VAP wave. KEYWORDS: Gutter brush, small deflection, transverse vibrations, resonance RESUMEN: Se desarrolla un modelo matemático de un cepillo lateral oscilatorio para barrido de calles en rotación libre.
Las cerdas se modelan como vigas empotradas.
La ecuación de movimiento se obtiene mediante la teoría de vibraciones forzadas de viga...






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