On the Free Vibration of a Long Helicoidal Membrane Strip.

Abstract

The equations of motion for a shell are developed in general orthogonal coordinates using Hamilton's principle. They are modified to yield a set of improved equations which are then transformed to helicoidal shell coordinates. The membrane portion of these equations are solved for the natural frequencies and associated mode shates for a uniformly twisted membrane boundary value problem. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1972
Accession Number
AD0755239

Entities

People

  • Gerald H. Weidenhammer
  • James Sheng

Organizations

  • University of Cincinnati

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Shift
  • Mathematics
  • Mechanical Waves
  • Membranes
  • Motion
  • Resonant Frequency
  • Vibration
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering