Unit 1

Fundamental Concepts in Mathematical Modelling: Abstraction – linearity and superposition – balance and conservation laws and the system – boundary approach.

Lumped – Element Modeling: Mechanical systems – Translational, rotational. Hydraulic systems. Thermal systems. RLC Electrical Systems.

Modeling of First–order and Second–order Systems: Governing equations for free and forced responses – transient response specifications – experimental determination – Laplace transform. Time Domain, Frequency Domain and State Space.

Unit 2

Frequency response of Linear, Time invariant systems – frequency response of first–order and second–order systems – state space formulations of systems problems relating frequency response to pole location – transient response-poles and frequency response.

Unit 3

• Woods Robert L. and Kent L.- ‘Modeling and Simulation of Dynamic Systems’- Prentice Hall – 1997
• Mukherjee A. and Karmakar R. – ‘Modeling and Simulation of Engineering Systems through Bondgraphs’ – Narosa – 2000
• Frederick C. – ‘Modeling and Analysis of Dynamic Systems’ – Wiley – 2001 – 3^rd Edition