Interaction of nonconservative 1D continuum and moving MDOF oscillator

P. Omenzetter*, Y. Fujino

*Corresponding author for this work

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

This paper presents a method for computing the response of a ID elastic continuum induced by a multi-degree-of-freedom (MDOF) oscillator traveling over it. The continuum and the oscillator are nonconservative systems with proportional damping. Unlike most studies in the field, the solution method does not address a particular type of continuous structure and oscillator. Instead, a rigorous mathematical formulation is presented that can be applied to a broad class of proportionally damped ID continua and MDOF oscillators, regardless of boundary conditions. The problem is reduced to the integration of a system of linear differential equations with time-dependent coefficients. These coefficients are found to depend on natural frequencies, damping ratios, and eigenfunctions and eigenvectors of the continuum and the oscillator. The method is tested on numerical examples and results are compared to those available in the literature. As a practical application, the method can be used to analyze vehicle-bridge interaction problems.

Original languageEnglish
Pages (from-to)1082-1088
Number of pages7
JournalJournal of Engineering Mechanics
Volume127
Issue number11
DOIs
Publication statusPublished - 1 Nov 2001

Fingerprint

Eigenvalues and eigenfunctions
Damping
Natural frequencies
Differential equations
Boundary conditions

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Interaction of nonconservative 1D continuum and moving MDOF oscillator. / Omenzetter, P.; Fujino, Y.

In: Journal of Engineering Mechanics, Vol. 127, No. 11, 01.11.2001, p. 1082-1088.

Research output: Contribution to journalArticle

@article{1c1d7c8547804a2085d35ade3a439f13,
title = "Interaction of nonconservative 1D continuum and moving MDOF oscillator",
abstract = "This paper presents a method for computing the response of a ID elastic continuum induced by a multi-degree-of-freedom (MDOF) oscillator traveling over it. The continuum and the oscillator are nonconservative systems with proportional damping. Unlike most studies in the field, the solution method does not address a particular type of continuous structure and oscillator. Instead, a rigorous mathematical formulation is presented that can be applied to a broad class of proportionally damped ID continua and MDOF oscillators, regardless of boundary conditions. The problem is reduced to the integration of a system of linear differential equations with time-dependent coefficients. These coefficients are found to depend on natural frequencies, damping ratios, and eigenfunctions and eigenvectors of the continuum and the oscillator. The method is tested on numerical examples and results are compared to those available in the literature. As a practical application, the method can be used to analyze vehicle-bridge interaction problems.",
author = "P. Omenzetter and Y. Fujino",
year = "2001",
month = "11",
day = "1",
doi = "10.1061/(ASCE)0733-9399(2001)127:11(1082)",
language = "English",
volume = "127",
pages = "1082--1088",
journal = "Journal of Engineering Mechanics",
issn = "0733-9399",
publisher = "American Society of Civil Engineers (ASCE)",
number = "11",

}

TY - JOUR

T1 - Interaction of nonconservative 1D continuum and moving MDOF oscillator

AU - Omenzetter, P.

AU - Fujino, Y.

PY - 2001/11/1

Y1 - 2001/11/1

N2 - This paper presents a method for computing the response of a ID elastic continuum induced by a multi-degree-of-freedom (MDOF) oscillator traveling over it. The continuum and the oscillator are nonconservative systems with proportional damping. Unlike most studies in the field, the solution method does not address a particular type of continuous structure and oscillator. Instead, a rigorous mathematical formulation is presented that can be applied to a broad class of proportionally damped ID continua and MDOF oscillators, regardless of boundary conditions. The problem is reduced to the integration of a system of linear differential equations with time-dependent coefficients. These coefficients are found to depend on natural frequencies, damping ratios, and eigenfunctions and eigenvectors of the continuum and the oscillator. The method is tested on numerical examples and results are compared to those available in the literature. As a practical application, the method can be used to analyze vehicle-bridge interaction problems.

AB - This paper presents a method for computing the response of a ID elastic continuum induced by a multi-degree-of-freedom (MDOF) oscillator traveling over it. The continuum and the oscillator are nonconservative systems with proportional damping. Unlike most studies in the field, the solution method does not address a particular type of continuous structure and oscillator. Instead, a rigorous mathematical formulation is presented that can be applied to a broad class of proportionally damped ID continua and MDOF oscillators, regardless of boundary conditions. The problem is reduced to the integration of a system of linear differential equations with time-dependent coefficients. These coefficients are found to depend on natural frequencies, damping ratios, and eigenfunctions and eigenvectors of the continuum and the oscillator. The method is tested on numerical examples and results are compared to those available in the literature. As a practical application, the method can be used to analyze vehicle-bridge interaction problems.

UR - http://www.scopus.com/inward/record.url?scp=0035504105&partnerID=8YFLogxK

U2 - 10.1061/(ASCE)0733-9399(2001)127:11(1082)

DO - 10.1061/(ASCE)0733-9399(2001)127:11(1082)

M3 - Article

AN - SCOPUS:0035504105

VL - 127

SP - 1082

EP - 1088

JO - Journal of Engineering Mechanics

JF - Journal of Engineering Mechanics

SN - 0733-9399

IS - 11

ER -