Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical Investigation

“Guided splined disks” are defined as flat thin disks in which the inner radius of the disk is splined and matches a splined arbor that provides the driving torque for rotating the disk. Lateral constraint for the disk is provided by space fixed guide pads. Experimental lateral displacement of run-u...

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Main Authors: Ahmad Mohammadpanah, Stanley G. Hutton
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2015/942141
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author Ahmad Mohammadpanah
Stanley G. Hutton
author_facet Ahmad Mohammadpanah
Stanley G. Hutton
author_sort Ahmad Mohammadpanah
collection DOAJ
description “Guided splined disks” are defined as flat thin disks in which the inner radius of the disk is splined and matches a splined arbor that provides the driving torque for rotating the disk. Lateral constraint for the disk is provided by space fixed guide pads. Experimental lateral displacement of run-up tests of such a system is presented, and the flutter instability zones are identified. The results indicate that flutter instability occurs at speeds when a backward travelling wave of a mode meets a reflected wave of a different mode. Sometimes, the system cannot pass a flutter zone, and transverse vibrations of the disk lock into that flutter instability zone. The governing linear equations of transverse motion of such a spinning disk, with assumed free inner and outer boundary conditions, are derived. A lateral constraint is introduced and modeled as a linear spring. Rigid body translational and tilting degrees of freedom are included in the analysis of the total motion of the spinning disk. The eigenvalues of the system are computed numerically, and the flutter instability zones are defined. The results show that the mathematical model can predict accurately the flutter instability zones measured in the experimental tests.
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spelling doaj-art-2a168733c803497a9ed539710d0ce1232025-02-03T01:33:28ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/942141942141Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical InvestigationAhmad Mohammadpanah0Stanley G. Hutton1Department of Mechanical Engineering, The University of British Columbia, Vancouver, BC, V6T 1Z4, CanadaDepartment of Mechanical Engineering, The University of British Columbia, Vancouver, BC, V6T 1Z4, Canada“Guided splined disks” are defined as flat thin disks in which the inner radius of the disk is splined and matches a splined arbor that provides the driving torque for rotating the disk. Lateral constraint for the disk is provided by space fixed guide pads. Experimental lateral displacement of run-up tests of such a system is presented, and the flutter instability zones are identified. The results indicate that flutter instability occurs at speeds when a backward travelling wave of a mode meets a reflected wave of a different mode. Sometimes, the system cannot pass a flutter zone, and transverse vibrations of the disk lock into that flutter instability zone. The governing linear equations of transverse motion of such a spinning disk, with assumed free inner and outer boundary conditions, are derived. A lateral constraint is introduced and modeled as a linear spring. Rigid body translational and tilting degrees of freedom are included in the analysis of the total motion of the spinning disk. The eigenvalues of the system are computed numerically, and the flutter instability zones are defined. The results show that the mathematical model can predict accurately the flutter instability zones measured in the experimental tests.http://dx.doi.org/10.1155/2015/942141
spellingShingle Ahmad Mohammadpanah
Stanley G. Hutton
Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical Investigation
Shock and Vibration
title Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical Investigation
title_full Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical Investigation
title_fullStr Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical Investigation
title_full_unstemmed Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical Investigation
title_short Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical Investigation
title_sort flutter instability speeds of guided splined disks an experimental and analytical investigation
url http://dx.doi.org/10.1155/2015/942141
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