Vibration of a nonlinear shear deformable beam by numerical simulation

Simple item page
dc.contributor.authorHagmann, Christopheren
dc.contributor.committeememberThangjitham, Suroten
dc.contributor.committeememberKraige, Luther Glennen
dc.contributor.committeememberHeller, Robert A.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2014-03-14T21:43:18Zen
dc.date.adate2008-08-22en
dc.date.available2014-03-14T21:43:18Zen
dc.date.issued1996-06-05en
dc.date.rdate2008-08-22en
dc.date.sdate2008-08-22en
dc.description.abstractThe vibration of a uniform geometrically nonlinear shear deformable beam subjected to a transverse harmonic excitation is investigated by the method of numerical simulation. Rotatory and axial inertia are included in the model. The beam is simply supported with supports a fixed distance apart. The nonlinear partial differential equations of motion are discretized in space by the Rayleigh-Ritz method, resulting in a set of nonlinear ordinary differential equations in time. The ordinary differential equations are integrated numerically to produce a time history of the solution of the equations. Transverse displacement, axial displacement, and cross sectional rotation are approximated by series of the corresponding linear natural mode shapes of the beam. Solutions of the equations of motion are compared to corresponding solutions where shear deformation and rotatory inertia are neglected. The effect of slenderness on the difference between the shear deformable case and the non shear deformable case is investigated by considering two beam configurations. In the simulations considered, the difference between the shear deformable model and the non shear deformable model increases as excitation frequency is increased and the length to thickness ratio of the beam is decreased.en
dc.description.degreeMaster of Scienceen
dc.format.extentvii, 293 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-08222008-063748en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-08222008-063748/en
dc.identifier.urihttp://hdl.handle.net/10919/44362en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1996.H346.pdfen
dc.relation.isformatofOCLC# 35445043en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectbeamen
dc.subjectvibrationen
dc.subjectnonlinearen
dc.subjectshear-deformableen
dc.subjectSimulationen
dc.subject.lccLD5655.V855 1996.H346en
dc.titleVibration of a nonlinear shear deformable beam by numerical simulationen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
LD5655.V855_1996.H346.pdf
Size:
3.99 MB
Format:
Adobe Portable Document Format
Download

Collections

Masters Theses