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TECHNICAL PAPERS

Methods for Calculating Bending Moment and Shear Force in the Moving Mass Problem

[+] Author and Article Information
Bruno Biondi

University of Catania, Dipartimento di Ingegneria Civile e Ambientale, V.le A. Doria 6, I-95100, Catania, Italy

Giuseppe Muscolino

University of Messina, Dipartimento di Ingegnezia Civile, Salita Sperone 31, I-98166, Messina, Italy

Anna Sidoti

University of Palermo, Dipartimento di Ingegneria Strutturale e Geotecnica, Viale delle Scienze, I-90123, Palermo, Italy

J. Vib. Acoust 126(4), 542-552 (Dec 21, 2004) (11 pages) doi:10.1115/1.1804992 History: Received July 01, 2002; Revised March 01, 2004; Online December 21, 2004
Copyright © 2004 by ASME
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Figures

Grahic Jump Location
Bending moment time history at the midspan of the beam evaluated by applying the described series expansions with two eigenfunctions (— — CSE– ⋅ – ⋅ MAM - - - IMAM – ⋅ ⋅ – DCM — PSE)
Grahic Jump Location
Shear force time history at the midspan of the beam evaluated by applying the described series expansion, with two eigenfunctions (— — CSE – ⋅ – ⋅ MAM - - - IMAM – ⋅ ⋅ – DCM — PSE)
Grahic Jump Location
Bending moment distributions at the instant t=0.5 s evaluated by applying the described series expansion, with two eigenfunctions (— — CSE – ⋅ – ⋅ MAM - - - IMAM – ⋅ ⋅ – DCM — PSE)
Grahic Jump Location
Shear force distributions at the instant t=0.5 s evaluated by applying the described series expansion, with two eigenfunctions (— — CSE – ⋅ – ⋅ MAM - - - IMAM – ⋅ ⋅ – DCM — PSE)
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Structural system: beam crossed by N moving masses mi
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Percentage errors of the lateral displacement maximum values at the midspan of the beam varying the number n of eigenfunctions (— — CSE – ⋅ – ⋅ MAM - - - IMAM – ⋅ ⋅ – DCM — PSE)
Grahic Jump Location
Percentage errors of the bending moment maximum values at the midspan of the beam varying the number n of eigenfunctions (— — CSE – ⋅ – ⋅ MAM - - - IMAM – ⋅ ⋅ – DCM — PSE)
Grahic Jump Location
Percentage errors of the shear force discontinuity at the midspan of the beam varying the number n of eigenfunctions (– ⋅ – ⋅MAM – – –IMAM – ⋅⋅ –DCMPSE)
Grahic Jump Location
Bending moment maximum value and the shear force at x=0 at the instant t=0.5 s versus the parameter γ (— — CSE – ⋅ – ⋅ MAM - - - IMAM – ⋅ ⋅ – DCM–PSE)

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