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

  • Structural Dynamics 
    • Types of dynamic loads;
    • Basic background of methods available and motivation for structural dynamics.
  • Dynamics of Single Degree-of-Freedom Structures:
    • Dynamic equation of equilibrium.
    • Free vibration of single degree of freedom systems.
    • Forced vibration: harmonic and periodic loadings.
    • Dynamic response functions
    • Force transmission and vibration isolation.
    • SDOF response to arbitrary functions.
  • Numerical Evaluation of Dynamic Response of SDOF Systems:
    • Time domain analysis: finite difference methods.
    • Frequency domain analysis: basic methodology.
  • Earthquake Response of SDOF Systems:
    • Earthquake excitation, response history and construction of response spectra.
    • Response spectrum characteristics, tripartite plot, and design spectrum.
  • Multi Degree of Freedom Systems - Basics:
    • Dynamic equations of equilibrium, static condensation.
    • Symmetricplan and plan-asymmetric systems.
  • Free Vibration Response of MDOF Systems:
    • Undamped systems: natural modes and their properties.
    • Numerical solution for the eigenvalue problem.
    • Solution of free vibration response for undamped systems.
    • Free vibration analysis of systems with damping.
  • Dynamic Analysis of Linear MDOF Systems:
    • Response-history for earthquake excitations using modal analysis.
    • Response spectrum analysis for peak responses.
    • Concept of Caughey damping as a general type of proportional damping.
  • Generalized Single Degree of Freedom Systems:
    • Mass-spring system.
    • Lumped mass systems.
    • Systems with distributed mass and elasticity.
    • Rayleigh’s method, shape function selection.
  •  Dynamics of Continuous Systems:
    • Equations of motions for axial vibration of a beam.
    • Equations of motion for flexural vibration of a beam.
    • Free vibration analysis.
    • Forced vibration analysis using modal superposition method.