Dynamics of structures

CIVIL-468

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  • Introduction
  • Single-degree-of-freedom systems
  • Easy statics / lateral stiffness for basic structural systems

Response to harmonic motions


  • Response to pulse motions
  • Approximate analysis

  • Response to pulse motions
  • Approximate analysis
  • Response to earthquake excitations


  • Response spectrum
  • Nonlinear oscillators
  • Numerical techniques

  • Nonlinear oscillators
  • Numerical techniques


  • Nonlinear oscillators
  • Multi-Degree of Freedom systems


  • Multi-degree-of-freedom systems: 3D single storey buildings with eccentricity
  • Eigenvalue analysis: Eigenmodes and eigenvectors

  • Orthogonality of modes
  • Mode normalization
  • Free vibration response of MDF systems

  • Classical damping
  • Damping models
  • Non-classical damping
  • Demonstration of mode shapes with MOLA and electric shake table


  • Response history analysis (RHA) of MDF systems
  • Response Spectrum Analysis (RSA) of MDF systems
  • Modal combination rules


25 November - 1 December

  • Seismic intensity measures
  • Seismic isolation - Equations of motion and examples

2 December - 8 December

Structural dynamics applications:

  • Machine-induced vibrations

9 December - 15 December

Structural dynamics applications:

  • Footfall-induced vibrations - application to footbridges
  • Design of a Tuned Mass Damper


16 December - 22 December

Structural dynamics applications:

  • Eigenfrequencies of distributed systems
  • Footfall-induced vibrations - applications to floors