Basic Mathematics: Complex numbers transfer function, eigenvalues of a system, Eigenvalues and stability, solving simultaneous equations manually and using symbolic tool box; Differential equations: Analytical solutions using undetermined coefficients, Laplace transform, inverse Laplace transform, modes of a system, numerical solution to differential equations using MATLAB, differential equations and state-variable format, state-variable format with input derivatives; Lumped Parameter Modeling; Newtons’s Approach: D Alembert’s Principle, Mechanical System Modeling, Free body diagrams, translational systems, rotational systems, systems of combined translational and rotational elements, Modeling of hydraulic and pneumatic systems, fluid properties, modeling of passive components. Hydraulic and electro-hydraulic servo valves; Modeling of electrical, electromechanical and mixed disciplinary systems; Thermal system modeling: modes of heat transfer, modeling of passive thermal elements; Lagrange and Hamiltonian Approach: Derivation of Lagrange and Hamilton’s equations, Modeling of systems using Lagrangian and Hamiltonian approach; Bond Graphs: generalized variable in terms of flow and velocity, causal and non-causal systems, development of system equations for causal and non-causal systems; Miscellaneous Topics: Distributed parameter systems, system identification, model reduction, stochastic systems.
Suggested Text:
- Modeling and Simulation of Dynamic Systems by RL Woods and KL Lawrence
- Introduction to Physical System Dynamics by RC Rosenberg and D Karnopp
- Engineering System Dynamics, by F.T. Brown
- System Dynamics: a Unified Approach by DC Karnopp, DL Margolis and RC Rosenberg
- Introduction to Physical System Modelling by Peter E. Wellstead