Finite element-based model order reduction for nonlinear structural dynamics

Master thesis (2021)

Authors

Y.K. Pilania Mechanical Engineering

Contributors

F. Alijani Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering (mentor)
A.M. Aragon Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering (graduation committee member)
G.J. Verbiest Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering (coach)
Faculty
Mechanical Engineering, Mechanical Engineering
Copyright: © 2021 Yogesh Kumar Pilania
More Info
expand_more

Published Date

29-01-2021

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Mechanical Engineering

Abstract

Extensive computational resources are required to solve large-scale nonlinear problems having a finite element mesh with a large number of degrees of freedom (DOFs). Model order reduction (MOR) is a technique used to reduce these DOFs, facilitating a faster solution with reasonable accuracy. This work proposes a method for constructing a finite element-based Reduced order model (ROM) by extending the method of modal derivatives (MDs) to analyse nonlinear vibrations of geometrically complex thin-walled structures. We show that the use of MDs is an effective method to capture the geometric nonlinearities that are present in the system. After validating results with the literature, the proposed ROM is applied to the analysis of a Miura-Ori patterned origami structure and the results of the numerical simulation are compared to that of experiments.

Files

MSc_Thesis_YK_Pilania_Finite_e... (.pdf)
(.pdf | 15 Mb)
- Embargo expired in 31-01-2023