Date of Award
2023
Document Type
Open Access Master's Report
Degree Name
Master of Science in Mechanical Engineering (MS)
Administrative Home Department
Department of Mechanical Engineering-Engineering Mechanics
Advisor 1
Vijaya Venkata Narasimha Sriram Malladi
Committee Member 1
Jung Yun Bae
Committee Member 2
Myoungkuk Park
Abstract
This study investigates the dynamic behavior of a flexible cable with heterogeneous stiffness using a data-driven approach. The study aims to develop accurate models describing intricate structures with rigid or flexible components. To achieve this, reflective markers were attached to the cable at equal spacing, and the motion was manually excited and captured using an 8-camera setup and OptiTrack's Motive software.
The cable displacement data at the marker locations were used as initial conditions for various Dynamic Mode Decomposition (DMD) models. The performance of the data- driven cable model is compared against the performance of the DMD modeling approach, fitting the dynamics of single- and multi-degree of freedom systems with added white noise. In this work, authors have considered using time delays and Wavelets-based DMD.
The study found that the Wavelet-based DMD (WDMD) model was the most accurate method for reconstructing the response of the cable in the test cases. The researchers suggest that this data-driven approach can be applied to predict the dynamic behavior of non-linear systems, with potential applications in civil engineering, aerospace, and robotics. Overall, this study presents a promising approach to developing accurate models of complex structures with rigid or flexible components. The findings of this study can be valuable for designing structures that can withstand dynamic loads and vibrations.
Recommended Citation
Chavan, Yash Manik, "DYNAMIC MODE DECOMPOSITION APPROACH FOR ESTIMATING THE SHAPE OF A CABLE", Open Access Master's Report, Michigan Technological University, 2023.