Print Email Facebook Twitter Modal derivatives based reduced-order modelling in parametrically driven structures and frequency dividers Title Modal derivatives based reduced-order modelling in parametrically driven structures and frequency dividers Author van den Broek, Jaïr (TU Delft Mechanical, Maritime and Materials Engineering) Contributor Alijani, F. (mentor) Tiso, P. (mentor) Verbiest, G.J. (graduation committee) Aragon, A.M. (graduation committee) Degree granting institution Delft University of Technology Programme Mechanical Engineering | Micro and Nano Engineering Date 2019-11-27 Abstract The application of Modal Derivatives (MDs) in conventional reduction methods is an effective method to capture geometric nonlinearities in Finite Element Models (FEMs). Reduction methods, in general, are used to effectively reduce the number of unknowns in FEMs for the sake of computational efficiency. We investigated the applicability of three MDs-based reduction methods in parametrically excited and parametric resonating structures, the focus lays on the steady-state responses. Benchmark in this project is a mechanical Frequency Divider (FD) that consists of cascading mechanical components, each of which is excited by the preceding one by means of parametric resonance. After full activation of the FD, a frequency division along the array of resonators is achieved with a factor 2^i at resonator i. The modularity of the FD makes it an excellent candidate for testing the application of component mode synthesis, where each substructure of the cascade is independently reduced and connected to other members via common interface. Subject Reduced order modelModal derivativesParametric resonance To reference this document use: http://resolver.tudelft.nl/uuid:24ce9929-99ca-4a67-89b6-ffdfccd22345 Part of collection Student theses Document type master thesis Rights © 2019 Jaïr van den Broek Files PDF Master_Thesis_JvdB_1_.pdf 6.95 MB Close viewer /islandora/object/uuid:24ce9929-99ca-4a67-89b6-ffdfccd22345/datastream/OBJ/view