Syllabus

Module 1: Fundamentals of Structural Dynamics (8 hours)
Introduction, Undamped Free Vibration, Viscously Damped Free Vibration, Harmonic Vibration of Undamped and Damped Systems,
Module 2: Response to Various Forces and Excitations (8 hours)
Response to Ground Motion, Force Transmission, and Vibration Isolation, Fourier Series Representation and Response to Periodic Force, Response to Unit Impulse, Arbitrary Force, Step Force, and Ramp Force, Response to Pulse Excitation and Approximate Analysis for Short Pulses
Module 3: Earthquake Response and Response Spectrum Analysis (7 hours)
Earthquake Response of Linear Systems, Response Spectrum Concept, and Characteristics, Elastic Design Spectrum, Effect of Viscous Damping on Response
Module 4: Multi-Degree of Freedom (MDOF) Systems (7 hours)
Equations of Motion for MDOF Systems, Natural Vibration Frequencies and Mode Shapes, Free Vibration Response and Computation of Vibration Properties, Damping in Structures, and Construction of Damping Matrix
Module 5: Advanced Dynamic Analysis Techniques (6 hours)
Dynamic Analysis and Response of Linear Systems, Earthquake Analysis of Linear Systems, Modal Analysis and Response History Analysis, Response Spectrum Analysis and Free/Forced Vibration of Distributed Mass Systems,

Develop fundamental and advanced knowledge of structural dynamics, including free and forced vibration analysis.

Equip students with the ability to establish equations of motion and analyze structural responses to dynamic loads.

Introduce methodologies for earthquake response analysis, response spectrum concepts, and modal analysis for practical applications.

Enable students to apply computational techniques for analyzing dynamic behavior in real-world structural engineering problems.

(1) Understand and analyze free and forced vibration behavior of single and multi-degree-of-freedom (SDOF & MDOF) systems.
(2) Apply dynamic analysis methods to assess structural response under harmonic, impulsive, and earthquake-induced forces.
(3) Formulate and solve equations of motion using first principles, numerical techniques, and response spectrum methods.
(4) Evaluate damping mechanisms and their influence on structural response to enhance seismic resilience.
(5) Perform computational modeling for dynamic response analysis of structural systems, ensuring safe and efficient design practices.

A. K. Chropra, Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice Hall of India

IS 1893-1 (2016), Criteria for earthquake resistant design of structures. Part 1: General provisions and buildings, Bureau of Indian Standards, New Delhi, India

J. L. Humar, Dynamics of Structures, CRC Press

R. W. Clough, J. Penzien, Dynamics of structures, McGraw-Hill