Differential Algebraic Equations with constraints
The following examples of dynamical systems with algebraic differential equations are presented here in the context of SSM analysis
- A frequency-divider Beam
- The equation for large deflections of a pendulum.
- A mass with three DOFs constrained in a cube.
- A mass with three DOFs constrained in a sphere.
For more information refer to M. Li, S. Jain & G. Haller, Model reduction for constrained mechanical systems via spectral submanifolds. Nonlinear Dyn 111 (2023) 8881–8911.