EE30016: Dynamics Of Physical Systems

EE30016
Course name	Dynamics Of Physical Systems
Offered by	Electrical Engineering
Credits	3
L-T-P	3-0-0
Previous Year Grade Distribution
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Semester	Autumn

Syllabus

Syllabus mentioned in ERP

System elements: character of inertial, compliant and resistive elements, voltage and current sources; Obtaining differential equations by the Newtonian method, constraints, the concept of configuration space; Obtaining differential equation for electrical circuits using Kirchoffs Laws: mesh current, node voltage, and graph theoretic methods; The Lagrangian formalism, the principle of least action, generalized coordinates; Obtaining first order differential equations: from Lagrangian equations and by the Hamiltonian method; Obtaining differential equation through bond graphs; Numerical solution of differential equations; Understanding dynamics in the state space: vector fields, local linearization around equilibrium points, analytical solution of linear differential equations, using eigenvalues and eigenvectors to solve linear equations; Dynamics of nonlinear systems: types of stable behaviour: equilibrium, limit cycle, quasi-periodic orbit, and chaos; Discrete-time dynamics: discretization of continuous-time systems, character of discrete-time state space and possible types of stable behaviour. Mechanical, Thermal and other, like biological/economic systems