Non-linear dynamic analysis of beams with variable stiffness

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dc.contributor.author Katsikadelis, JT en
dc.contributor.author Tsiatas, GC en
dc.date.accessioned 2014-03-01T01:21:08Z
dc.date.available 2014-03-01T01:21:08Z
dc.date.issued 2004 en
dc.identifier.issn 0022-460X en
dc.identifier.uri http://hdl.handle.net/123456789/16083
dc.subject Boundary Condition en
dc.subject Cross Section en
dc.subject Differential Equation en
dc.subject Dynamic Equilibrium en
dc.subject Integral Representation en
dc.subject Load Distribution en
dc.subject Non-linear Dynamics en
dc.subject Time Dependent en
dc.subject.classification Acoustics en
dc.subject.classification Engineering, Mechanical en
dc.subject.classification Mechanics en
dc.subject.other Beams and girders en
dc.subject.other Boundary conditions en
dc.subject.other Deflection (structures) en
dc.subject.other Differential equations en
dc.subject.other Stiffness en
dc.subject.other Analog equation method en
dc.subject.other Bending stiffness en
dc.subject.other Bernoulli-Euler beam en
dc.subject.other Fictitious time-dependent load distributions en
dc.subject.other Non-linear dynamic analysis en
dc.subject.other Dynamics en
dc.title Non-linear dynamic analysis of beams with variable stiffness en
heal.type journalArticle en
heal.identifier.primary 10.1016/S0022-460X(03)00635-7 en
heal.identifier.secondary http://dx.doi.org/10.1016/S0022-460X(03)00635-7 en
heal.language English en
heal.publicationDate 2004 en
heal.abstract In this paper the analog equation method (AEM), a BEM-based method, is employed to the non-linear dynamic analysis of a Bernoulli-Euler beam with variable stiffness undergoing large deflections, under general boundary conditions which maybe non-linear. As the cross-sectional properties of the beam vary along its axis, the coefficients of the differential equations governing the dynamic equilibrium of the beam are variable. The formulation is in terms of the displacements. The governing equations are derived in both deformed and undeformed configuration and the deviations of the two approaches are studied. Using the concept of the analog equation, the two coupled non-linear hyperbolic differential equations with variable coefficients are replaced by two uncoupled linear ones pertaining to the axial and transverse deformation of a substitute beam with unit axial and bending stiffness, respectively, under fictitious time-dependent load distributions. A significant advantage of this method is that the time history of the displacements as well as the stress resultants are computed at any cross-section of the beam using the respective integral representations as mathematical formulae. Beams with constant and varying stiffness are analyzed under various boundary conditions and loadings to illustrate the merits of the method as well as its applicability, efficiency and accuracy. (C) 2003 Elsevier Ltd. All rights reserved. en
heal.journalName Journal of Sound and Vibration en
dc.identifier.doi 10.1016/S0022-460X(03)00635-7 en
dc.identifier.isi ISI:000189216500016 en
dc.identifier.volume 270 en
dc.identifier.issue 4-5 en
dc.identifier.spage 847 en
dc.identifier.epage 863 en

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