Gear Rotor Dynamics Model and Critical Speed Calculation

This MATLAB-based gear rotor dynamics model simulates gear rotor motion and calculates critical speeds. The model incorporates fundamental assumptions and mathematical formulations that account for gear geometry, dimensions, material properties, and rotational velocities, utilizing numerical computation methods for solution. To achieve higher precision, the implementation includes critical factors such as gear contact stiffness and bearing stiffness. The code features extensive inline comments and documentation explaining algorithm implementation details, including key functions for matrix assembly, eigenvalue extraction, and iterative solvers. For deeper understanding of gear rotor dynamics modeling and computational methods, please refer to the following literature: - "Gear Rotor Vibration and Dynamics" (Author: Wang Ruishan, Publisher: Mechanical Industry Press) - "Mechanical Vibration and Noise Control" (Author: Li Rongxiu, Publisher: Higher Education Press) - "Vibration and Noise Analysis of Gear Transmission Systems" (Author: Liu Huadong, Publisher: Tsinghua University Press)