Mechanical Four-Pole Parameters: Transmission Matrices

Abstract

This report revises and extends an earlier report entitled 'Mechanical Four-Pole Parameters and their Application' (Journal of Sound and Vibration, 15, 307-323, 1971). Newly considered are so-called transmission matrices, which enable the transverse vibration response of beams with discontinuities to be analyzed readily. Further, the transmission matrices used in the report result in more concise beam analyses than the matrices generally employed in the literature. Additional examples that are considered here include end-driven cantilever beams or stanchions that are propped by a damped spring; or that carry an end mass having a finite moment of inertia; or that carry a mass that divides the stanchion into two stages of arbitrary lengths and cross- sectional areas; or that carry an end mass and subsequently comprise three stages having arbitrary lengths and cross-sectional areas.

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Document Details

Document Type
Technical Report
Publication Date
Apr 19, 1976
Accession Number
ADA034442

Entities

People

  • J. C. Snowdon

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Advanced Electronics
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Bending Moments
  • Birds
  • Cantilever Beams
  • Circuits
  • Discontinuities
  • Electrical Circuits
  • Frequency
  • Inertia
  • Moment Of Inertia
  • Navy
  • Networks
  • Resonance
  • Resonant Frequency
  • Terminals
  • Transverse
  • Vibration
  • Waves

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Systems Analysis and Design