Mathematical Model of a Beam in Space.

Abstract

The goal of this thesis is to develop a mathematical model, using differential equations, of a large space structure acting under the force of these maneuvering rockets. This model could then be used to analyze the structural responses of a large space structure generated by the firing of the maneuvering rockets. For the purposes of this thesis only the second case, where the rockets are part of the large space structure, will be considered. The process that will be used to accomplish this is to take a model that is used on earth and make necessary changes in assumptions, boundary conditions, etc., to adapt it to space. Chapter one presents the mathematical development of the model from an Euler beam model used on earth. Chapter two shows the numerical analysis of the solutions of the mathematical model, and discusses the responses of the model to the forces encountered. Chapter three examines the vibrations, caused by the force of the maneuvering rockets, to ensure that they are bounded. Finally chapter four presents conclusions based upon the results of the previous chapters.

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Document Details

Document Type
Technical Report
Publication Date
May 14, 1997
Accession Number
ADA325628

Entities

People

  • Donald B. Hanks Jr

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aluminum Alloys
  • Boundaries
  • Coefficients
  • Coordinate Systems
  • Differential Equations
  • Eigenvalues
  • Elastic Properties
  • Equations
  • Large Space Structures
  • Mass
  • Materials
  • Mathematical Models
  • Models
  • Modulus Of Elasticity
  • Numerical Analysis
  • Space Stations
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Computational Fluid Dynamics (CFD)
  • Marine Hydrodynamics

Technology Areas

  • Space