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The exhaustive list of topics in Soil Dynamics in which we provide Help with Homework Assignment and Help with Project is as follows:

  • Scope and objective; Nature and types of dynamic loading; Importance of soil dynamics.
  • Viberation 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:
    • 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.