Matrix and Dynamic Analysis of Structures (300IGC033)

Basic Information

Text book

  • Structural Dynamics Applied to Seismic Design, L. E. García, 1998.

Supplemental materials

  • Dynamics of Structures: Theory and Applications, A.K. Chopra, 1995.
  • Matrix Methods for Engineers with Matlab, J. C. Herrera, 2011.
  • Matrix Structural Analysis. W. Maguire, R. Gallagher, 2000.
  • Structural Analysis, A. Kassimaly, 2001.
  • NSR-10, Colombian Code for Earthquake-Resistant Construction, AIS, 2010.

Specific course information

The course presents the analysis of structures by using matrix methods. It also qualifies the student in the theoretical analysis of the behavior of structures subjected to dynamic loads produced by earthquakes.

Specific goals of the course

Learning objectives:
  • To analyze framed structures by the stiffness method for different types of loads.
  • To calculate the motion amplitude in SDOF and MDOF systems, with and without damping.
  • To calculate the displacements for different types of forced vibration.
  • To calculate and choose response spectrums for SDOF systems.
  • To select the NSR-10 requirements for the dynamic analysis of reinforced concrete or steel structures.
Relationship with student outcomes
Student Outcomes
Relevance 3 3 2 3 3

1: low relevance; 2: medium relevance; 3: high relevance.

Topics of the course

  • Complete formulation of the stiffness method.
  • Stiffness matrix: local and global coordinates.
  • Plane frames. Structure stiffness matrix. Load vector.
  • SDOF systems. Free vibrations.
  • Response to harmonic excitations.
  • Response to arbitrary excitations. The Duhamel integral.
  • Response spectrum.
  • MDOF systems.
  • Shear building model.
  • Three-dimensional buildings modeling. Rigid diaphragm.
  • Modal analysis. Modal response for damped systems.
  • Modal analysis for seismic loads.
  • Spectral modal analysis.
undergraduate/dptocivileindustrial/matrixanddynamicanalysisofstructures.txt · Última modificación: 2014/10/18 11:57 por lsosorio
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