Numerical analysis of the modal coupling at low resonances in a Colombian Andean Bandola in C using the finite element method

dc.contributor.advisorGuarín Zapata, Nicolás
dc.contributor.authorRodríguez Gómez, Sara Elena
dc.coverage.spatialMedellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degreeseng
dc.creator.degreeIngeniero Físicospa
dc.description.abstractThe work presented in this thesis is concerned with the dynamical behavior of a CBandola's acoustical box at low resonances -- Two models consisting of two and three coupled oscillators are proposed in order to analyse the response at the first two and three resonances, respectively -- These models describe the first resonances in a bandola as a combination of the lowest modes of vibration of enclosed air, top and back plates -- Physically, the coupling between these elements is caused by the fluid-structure interaction that gives rise to coupled modes of vibration for the assembled resonance box -- In this sense, the coupling in the models is expressed in terms of the ratio of effective areas and masses of the elements which is an useful parameter to control the coupling -- Numerical models are developed for the analysis of modal coupling which is performed using the Finite Element Method -- First, it is analysed the modal behavior of separate elements: enclosed air, top plate and back plate -- This step is important to identify participating modes in the coupling -- Then, a numerical model of the resonance box is used to compute the coupled modes -- The computation of normal modes of vibration was executed in the frequency range of 0-800Hz -- Although the introduced models of coupled oscillators only predict maximum the first three resonances, they also allow to study qualitatively the coupling between the rest of the computed modes in the range -- Considering that dynamic response of a structure can be described in terms of the modal parameters, this work represents, in a good approach, the basic behavior of a CBandola, although experimental measurements are suggested as further work to verify the obtained results and get more information about some characteristics of the coupled modes, for instance, the phase of vibration of the air mode and the radiation e ciencyspa
dc.publisherUniversidad EAFITspa
dc.publisher.departmentEscuela de Ciencias. Ciencias Básicasspa
dc.publisher.programIngeniería físicaspa
dc.rights.localAcceso abiertospa
dc.subjectBandola Andina Colombianaspa
dc.subject.keywordFinite element methodspa
dc.subject.keywordNumerical analysisspa
dc.subject.keywordMusic - Acoustics and physicsspa
dc.subject.keywordStringed instrumentsspa
dc.subject.keywordAcoustic wavesspa
dc.subject.keywordVibration - Measurementspa
dc.subject.lembANÁLISIS NUMÉRICOspa
dc.subject.lembACÚSTICA EN MÚSICAspa
dc.subject.lembINSTRUMENTOS DE CUERDAspa
dc.subject.lembONDAS ACÚSTICASspa
dc.subject.lembVIBRACIÓN - MEDICIONESspa
dc.subject.lembONDAS SONORASspa
dc.titleNumerical analysis of the modal coupling at low resonances in a Colombian Andean Bandola in C using the finite element methodspa
dc.type.localTrabajo de gradospa


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