Theses and Dissertations

ORCID

0009-0000-2118-3713

Advisor

Azimi, Mohsen

Committee Member

Kim, Sungu

Committee Member

Yuan, Ke

Date of Degree

8-12-2026

Original embargo terms

Visible MSU Only 6 months

Document Type

Graduate Thesis - Campus Access Only

Major

Mechanical Engineering

Degree Name

Master of Science (M.S.)

College

James Worth Bagley College of Engineering

Department

Michael W. Hall School of Mechanical Engineering

Abstract

The thesis presents an analytical framework for stability analysis of dynamic systems subjected to nonconservative forces, with applications in aeroelastic and aero-hydrodynamic systems related to propulsion, marine, and offshore energy environments. The approach models systems using coupled ordinary differential equations and employ complex exponential solutions to perform flutter analysis, enabling determination of flutter frequency, forcing amplitude, and instability boundaries. Mode coupling, a key indicator of flutter in nonsymmetric systems, is extended to electromechanical systems through the analysis of a vortex-induced vibrating cylinder with electromechanical coupling. Nonlinear effects are further examined as softening cubic nonlinearity due to floating sphere geometry, demonstrating enhanced stability characteristics compared to linear systems. The framework is applied to multiple systems, including a double pendulum, airfoil, spherical pendulum, jeffcott rotor, and floating bodies, showing that surrogate discrete models can effectively capture coupling behavior and dynamic response, providing a basis for future studies of more complex continuous systems.

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