Chapter 11. Numerical Methods and Engineering Applications

  1. Charles K. Erdey Formerly Adjunct Professor

Published Online: 16 APR 2007

DOI: 10.1002/9780470168042.ch11

Earthquake Engineering: Application to Design

Earthquake Engineering: Application to Design

How to Cite

Erdey, C. K. (2006) Numerical Methods and Engineering Applications, in Earthquake Engineering: Application to Design, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470168042.ch11

Author Information

  1. Northern Arizona University, California State University Long Beach, USA

Publication History

  1. Published Online: 16 APR 2007
  2. Published Print: 20 DEC 2006

ISBN Information

Print ISBN: 9780470048436

Online ISBN: 9780470168042



  • equation of motion;
  • numerical methods and engineering applications;
  • eigenvalues and eigenvectors;
  • spring–mass–dashpot (damping) one-degree system;
  • driving function F(t)


This chapter contains sections titled:

  • Introduction to Dynamic Analysis

  • Equation of Motion

  • Damping: Damped Free Vibration

  • Free Vibrations: Two-Degree Systems

  • Eigenvalues and Eigenvectors

  • Modeling Actual Structures

  • Three-Degree Systems

  • Existence and Uniqueness Theory: Wronskian

  • Driving Function (Ft): Seismic Ground Motion as Ft