NORMAL MODE THEORY FOR THREE-DIRECTIONAL MOTION

Abstract

Normal mode theory is applied to undamped linear elastic structures represented as lumped parameter systems undergoing translational motion in three directions. The derived equations are primarily concerned with the response of such structures subject to applied forces and base motions and the inertia forces required to calculate stress in each mode of vibration. Additional relationships are presented for special types of loading and for the effective mass acting in a given mode due to base motion. Similar equations are summarized in an appendix for structures with six directions of motion, namely, three translational directions and three rotational directions subject to prescribed assumptions.

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Document Details

Document Type
Technical Report
Publication Date
Jan 05, 1965
Accession Number
AD0611573

Entities

People

  • G. J. O'hara
  • P. F. Cunniff

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Angular Acceleration
  • Computational Science
  • Deflection
  • Differential Equations
  • Dynamic Response
  • Equations
  • Equations Of Motion
  • Frequency
  • Mathematical Analysis
  • Military Research
  • Molecular Mechanics Methods
  • Moment Of Inertia
  • Notation
  • Orientation (Direction)
  • Relative Motion
  • Resonant Frequency
  • Vibration

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.