Soil Dynamics

Introduction.
Degrees of Freedom, SDOF System, Types of Vibrations.
SDOF System, Types of Vibrations, Free Vibration.
Problems on Tortional Motion.
Damped Free Vibrations.
Damped Free Vibrations, Definition of Critical Damping and problems.
Decay of Motion.
Forced Vibrations, Dynamic Magnification Factor.
Maxwells Diagram of DMF, Discussion on Phase.
Transmissibility Ratio, Response to Arbitrary, Step and Pulse Excitations.
Response to Arbitrary, Step and Pulse Excitations, Response to Impact Load.
Vibration Isolation, Vibrations Measuring Instruments.
Solutions of Quiz Questions, Multi-Degree of Freedom (MDOF) Systems.
(MDOF) System : Equation of Motion, Longitudinal Waves in an Infinitely long rod.
Dimensional Wave Propagation, Waves in semi-infinite media, Rayleigh Wave.
Love Wave, Waves in layered medium, 3D case-Inclined wave, Earthquake Waves.
Earthquake Waves; P-waves, S-waves, 3 circle method.
Stresses in Soil Element, Field Tests, Seismic Reflection Test.
Seismic Refraction Test, SASW Test, Laboratory & Model Tests.
Centrifuge Tests Stress Strain Behavior of Cyclically Loaded Soils.
Estimation of Gmax, Modulus Reduction Curves.
Liquefaction, Preliminary sceening, Simplified Procedure for Liquefaction.
Cyclic Stress Ratio, Evaluation of CRR, Correction Factors, Corrections for SPT.
Becker Penetrometer Test (BPT), Cone Penetrometer Test (CPT), SPT v BPT, SASW Test.
Types of Machine Foundations, Methods of Analysis.
types of Machine Foundations, Methods of Analysis.
Tschebotarioff's.
Problem on Tschebotarioff's method contd., Mass-Spring-Dashpot (MSD) Model.
MSD Model- Yawing mode of Vibration, Use of MSD model for analysis.
Problems on Use of MSD Model for Analysis, Rocking mode of Vibrations.
Torsional Mode/Yawing Mode, Constant Force type excitation, EHS Theory.
EHS Theory, Vibrational Control.
Use of EHS Theory for analysis.
Use of EHS Theory for analysis II.
Liquefaction mitigation methods,Vibro Compaction,Densification Techniques.
Soil Improvement methods,Dynamic Compaction,Reinforcement Techniques.
Force-based Analysis,Dynamic analysis using MSD model.
Behaviour of Subgrade Soil below Rail Track.