Syllabus

Module 1: Introduction and Theory of Vibrations (10 hours)
Introduction Theory of Vibrations: Fundamentals of Vibration, System with Single degree of freedom, System with Two degree of freedom, Free Vibration, Forced Vibration.

Module 2: Wave Propagation (4 hours)
Wave Propagation: Wave propagation in elastic rods, elastic infinite medium, semi-infinite elastic half space.

Modulus 3: Machine Foundations (10 hours)
Machine Foundations: Types of motion: Vertical, sliding, torsional and rocking modes of oscillations, MSD model, EHS theory, Tschebotarioff’s Method, Coupled motion, Vibration control, Practical design considerations and Codal Provisions.

Modulus 4: Soil Improvement Techniques (4 hours)
Soil Improvement Techniques: Basic concept of soil improvement due to dynamic loading, Various methods of Liquefaction Mitigation.

Modulus 5: Dynamic Soil-Structure Interaction (8 hours)
Dynamic Soil-Structure Interaction: Shallow foundations, Pile foundations, Earth retaining structures, Slope stability, Subgrade soil due to cyclic loads of railway, runway.

To equip students with fundamental knowledge and analytical skills to understand, model, and solve vibration problems in single and multi-degree-of-freedom systems, including free and forced vibrations.

To develop an understanding of wave propagation in elastic media, including elastic rods, infinite mediums, and semi-infinite elastic half spaces.

To equip students with the knowledge and skills to analyze, design, and control machine foundations and also understand the behavior of foundations, retaining structures, slope, etc. under cyclic loads.

To introduce the principles and methods of soil improvement under dynamic loading, with a focus on techniques for liquefaction mitigation.

1. Students will gain the ability to model, analyze, and solve vibration problems in single and multi-degree-of-freedom systems, including free and forced vibrations.
2. Students will gain the ability to analyze and understand wave propagation in elastic media, including elastic rods, infinite mediums, and semi-infinite elastic half spaces.
3. Students will acquire the skills to analyze, design, and control machine foundations.
4. Students will be able to apply soil improvement techniques under dynamic loading and effectively implement methods for liquefaction mitigation.
5. Students will be able to understand the behavior of foundations, retaining structures, pavements and slopes under cyclic loads.

S. Saran, Soil Dynamics and Machine Foundations,, Galgotia Publications Private Ltd. , New Delhi

N. S. V. Kameswara Rao, Vibration Analysis and Foundation Dynamics,, Wiley

B M Das, Principles of Soil Dynamics, cengage India Private Ltd.

Shamsher Prakash, Soil Dynamics, McGraw-Hill