Accession Number : ADA325628

Title :   Mathematical Model of a Beam in Space.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH

Personal Author(s) : Hanks, Donald B., Jr

PDF Url : ADA325628

Report Date : 14 MAY 1997

Pagination or Media Count : 29

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.

Descriptors :   *MATHEMATICAL MODELS, *STRUCTURAL ANALYSIS, VIBRATION, MANEUVERABILITY, EARTH ORBITS, BEAMS(STRUCTURAL), DEFORMATION, THESES, STRUCTURAL RESPONSE, BOUNDARY VALUE PROBLEMS, SPACE STATIONS, BOOSTER ROCKET ENGINES, FORCE(MECHANICS).

Subject Categories : Mechanics
      Operations Research
      Manned Spacecraft

Distribution Statement : APPROVED FOR PUBLIC RELEASE