Linear Algebra Applied to Physics Determining Small Vibrations in Conservative Elastic Systems

Abstract

The purpose of this application was to create a supplement to an undergraduate course in linear algebra. This application was drawn from the field physics and shows how linear algebra is used to solve systems of second order linear differential equations, which could be used to model small vibrations in molecules. This applications was designed so that an instructor of linear algebra could use it either as an independent study project or as an integrated part of the course.

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Document Details

Document Type
Technical Report
Publication Date
Nov 04, 1992
Accession Number
ADA259114

Entities

People

  • Shirley J. Hamilton

Organizations

  • United States Air Force Academy

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algebra
  • Cartesian Coordinates
  • Computer Programs
  • Differential Equations
  • Eigenvalues
  • Equations
  • Equations Of Motion
  • Frequency
  • Kinetic Energy
  • Linear Algebra
  • Linear Differential Equations
  • Nonlinear Differential Equations
  • Physics
  • Potential Energy
  • United States
  • United States Air Force Academy

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • STEM Education
  • Structural Dynamics.