THE ROTATIONALLY SYMMETRIC MOTION OF A SMALL-ANGLE TRUNCATED CONICAL SHELL DUE TO A CONSTANT VELOCITY PRESSURE FRONT. PART II. NUMERICAL RESULTS,

Abstract

A thin truncated conical shell is analyzed for the initial transient response due to the passage of a pressure front of constant velocity and amplitude. The principle of virtual work is applied to a segment of the shell, between two adjacent generatrices, treated as a beam on an elastic foundation. The ends of the shell are considered to be simply supported. First, the natural or free modes of vibration are approximated using an eight-term series of functions each satisfying the boundary condition. Then the resulting modes are used in conjunction with time-dependent coefficients to formulate the forced response. PART I, the initial report, consisted of the analysis and derivations pertinent to the problem. PART II, the present report, contains the numerical results and plotted data. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1965
Accession Number
AD0616605

Entities

People

  • Donald M. Neal
  • Joseph I. Bluhm

Organizations

  • United States Army Research Laboratory

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Coefficients
  • Intensity
  • Mechanical Waves
  • Motion
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Electrical Engineering