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TECHNICAL PAPERS

Free Vibration of Helicoidal Beams of Arbitrary Shape and Variable Cross Section

[+] Author and Article Information
Wisam Busool

Structural Engineer, Nazareth-Reineh Village, 16940, Israele-maiil swis@tx.technion.ac.il

Moshe Eisenberger

Faculty of Civil Engineering, Technion Israel Institute of Technology, Technion City, Haifa 32000 Israele-mail: cvrmosh@techunix.technion.ac.il

J. Vib. Acoust 124(3), 397-409 (Jun 12, 2002) (13 pages) doi:10.1115/1.1468870 History: Received August 01, 2000; Revised September 01, 2001; Online June 12, 2002
Copyright © 2002 by ASME
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References

Figures

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The different shapes of helical springs (a) cylindrical (b) barrel (c) conical (d) hyperboloidal
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Geometry and degrees of freedom of a helical element in global coordinates
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The first three mode shapes of cylindrical spring with clamped ends
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The 4th, 5th and 6th, mode shapes of cylindrical spring with clamped ends
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The first three mode shapes of hyperboloidal spring with clamped ends
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The 4th, 5th and 6th mode shape of hyperboloidal spring, with clamped ends
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The first three mode shapes of cylindrical staircase with variable cross-section, and both ends fixed
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The 4th, 5th and 6th mode shape of cylindrical staircase with variable cross-section, and both ends fixed
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The 7th, 8th and 9th mode shapes of cylindrical staircase with variable cross-section, and both ends fixed

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