Introduction : Scope and objective; Nature and types of dynamic loading; Importance of soil dynamics

Vibration theory : Vibration of elementary systems; Degrees of freedom (SDOF and MDOF systems); Equation of motion for SDOF system; Types of vibrations; Earthquake excitation; Undamped and damped free vibrations; Torsional vibration; Critical damping; Decay of motion; Undamped and damped forced vibration; Constant force and rotating mass oscillators; Dynamic magnification factor; Transmissibility ratio; Non-harmonic, arbitrary, impact and other types of forced vibrations; Duhamel’s integral; Taxing of vehicles on uneven roads; Vibration isolation; Vibration measuring instruments; Equation of motion for MDOF system.

Wave Propagation : Longitudinal and torsional waves in infinitely long rod; Solution for one-dimensional and three-dimensional equations of motion; Waves in semi-infinite body; Waves in layered medium; Earthquake waves – P-wave, S-wave, Rayleigh wave and Love wave; Locating earthquake’s epicenter.

Dynamic Soil Properties : Stresses in soil element; Determination of dynamic soil properties; Field tests; Laboratory tests; Model tests; Stress-strain behavior of cyclically loaded soils; Estimation of shear modulus; Modulus reduction curve; Damping ratio; Linear, equivalent-linear and non-linear models; Ranges and applications of dynamic soil tests; Cyclic plate load test; Liquefaction; Screening and estimation of liquefaction; Simplified procedure for liquefaction estimation; Factor of safety; Cyclic stress ratio; Cyclic resistance ratio; CRR correlations with SPT, CPT, SASW test values.

Machine Foundations : Types of machines; Basic design criteria; Methods of analysis; Mass-Spring-Dashpot model; Elastic-Half-Space theory; Tschebotarioff’s reduced natural frequency method; Types of foundations; Modes of vibrations; Vertical, sliding, torsional (yawing) and rocking (and pitching) modes of oscillations; Design guidelines as per codes; Typical design problems.

Soil Improvement Techniques : Basic concept of soil improvement due to dynamic loading; Various methods; Mitigation of liquefaction

Dynamic Soil-Structure Interaction : Dynamic earth pressures; Force and displacement based analysis; Pseudo-static and Pseudo-dynamic analysis; Guidelines of various design codes; Dynamic analyses of various geotechnical structures like retaining wall, soil slope, railway subgrade and ballast using MSD model.

Other Resources

Course Curriculum

L1-Introduction Details 47:41
L2-Degrees of Freedom, SDOF System, Types of Vibrations Details 53:59
L3-SDOF System, Types of Vibrations, Free Vibration Details 58:16
L4-Problems on Tortional Motion Details 52:20
L5-Damped Free Vibrations Details 56:46
L6-Damped Free Vibrations, Definition of Critical Damping and problems Details 47:14
L7-Decay of Motion Details 56:18
L8-Forced Vibrations, Dynamic Magnification Factor Details 58:49
L9-Maxwells Diagram of DMF, Discussion on Phase Details 49:40
L10-Transmissibility Ratio, Response to Arbitrary, Step and Pulse Excitations Details 54:13
L11-Response to Arbitrary, Step and Pulse Excitations, Response to Impact Load Details 55:58
L12-Vibration Isolation, Vibrations Measuring Instruments Details 46:40
L13-Solutions of Quiz Questions, Multi-Degree of Freedom (MDOF) Systems Details 58:25
L14-(MDOF) System : Equation of Motion, Longitudinal Waves in an Infinitely long rod Details 55:59
L15-3 Dimensional Wave Propagation, Waves in semi-infinite media, Rayleigh Wave Details 53:53
L16-Love Wave, Waves in layered medium, 3D case-Inclined wave, Earthquake Waves Details 53:17
L17-Earthquake Waves; P-waves, S-waves, 3 circle method Details 54:50
L18-Stresses in Soil Element, Field Tests, Seismic Reflection Test Details 53:52
L19-Seismic Refraction Test, SASW Test, Laboratory & Model Tests Details 54:32
L20-Centrifuge Tests Stress Strain Behavior of Cyclically Loaded Soils Details 56:25
L21-Estimation of Gmax, Modulus Reduction Curves Details 1:12
L22-Liquefaction, Preliminary sceening, Simplified Procedure for Liquefaction Details 0:57
L23-Cyclic Stress Ratio, Evaluation of CRR, Correction Factors, Corrections for SPT Details 55:32
L24-Becker Penetrometer Test (BPT), Cone Penetrometer Test (CPT), SPT v BPT, SASW Test Details 0:48
L25-Types of Machine Foundations, Methods of Analysis Details 55:54
L26-Tschebotarioff’s Details 54:39
L27-Problem on Tschebotarioff’s method contd., Mass-Spring-Dashpot (MSD) Model Details 47:47
L28-MSD Model- Yawing mode of Vibration, Use of MSD model for analysis Details 59:49
L29-Problems on Use of MSD Model for Analysis, Rocking mode of Vibrations Details 49:47
L30-Torsional Mode/Yawing Mode, Constant Force type excitation, EHS Theory Details 55:44
L31-EHS Theory, Vibrational Control Details 51:55
L32-Use of EHS Theory for analysis Details 52:25
L33-Use of EHS Theory for analysis II Details 59:10
L34-Liquefaction mitigation methods,Vibro Compaction,Densification Techniques Details 52:11
L35-Soil Improvement methods,Dynamic Compaction,Reinforcement Techniques Details 54:30
L36-Force-based Analysis,Dynamic analysis using MSD model Details 52:44
L37-Behaviour of Subgrade Soil below Rail Track Details 34:27
L38-Quiz Details 1:42
L25-Types of Machine Foundations, Methods of Analysis Details 55:54

This course is delivered by IIT Bombay , as part of NPTEL Free Courses sponsored by Govt of India.

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