The use of maximum rate of dissipation criterion to model beams with internal dissipation

dc.contributorSrinivasa, Arun
dc.creatorKo, Min Seok
dc.date.accessioned2004-09-30T02:05:21Z
dc.date.accessioned2017-04-07T19:48:36Z
dc.date.available2004-09-30T02:05:21Z
dc.date.available2017-04-07T19:48:36Z
dc.date.created2005-05
dc.date.issued2004-09-30
dc.description.abstractThis thesis deals with a systematic procedure for the derivation of exact expression for the frequency equation of composite beams undergoing forced vibration with damping. The governing differential equations of motion of the composite beam are derived analytically for bending and shear deformation. The basic equations of Timoshenko beam theory and assumption of maximum rate of dissipation are employed. The principle involved is that of vibration energy dissipation due to damping as a result of deformation of materials in sandwich beam. The boundary conditions for displacements and forces for the cantilever beam are imposed and the frequency equation is obtained. The expressions for the amplitude of displacements are also derived in explicit analytical form. Numerical results of the displacement amplitude in cantilever sandwich beam varying with damping coefficient are evaluated.
dc.identifier.urihttp://hdl.handle.net/1969.1/495
dc.language.isoen_US
dc.publisherTexas A&M University
dc.subjectdissipation
dc.subjectsandwich beam
dc.subjectvibration
dc.titleThe use of maximum rate of dissipation criterion to model beams with internal dissipation
dc.typeBook
dc.typeThesis

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