University of Illinois Urbana-Champaign

Unified method for determining modal shapes and natural frequencies of beam

Stern, M.; Baker, M.J.

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https://hdl.handle.net/2142/111897

Description

Title
Unified method for determining modal shapes and natural frequencies of beam
Author(s)
  • Stern, M.
  • Baker, M.J.
Issue Date
1961-02
Keyword(s)
  • Shapes
  • Frequencies
  • Beam
Abstract
This report presents a method for obtaining numerically the natural frequencies and corresponding modes of a freely vibrating beam under very general conditions. The unique feature of the method is that the problem is always reduced to finding eigenvalues and eigenvectors of a symmetric matrix.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 185
  • 1967-0481
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/111897
Sponsor(s)/Grant Number(s)
Department of the Army, Redstone Arsenal, Project No. 5B99-01-004, DA-11-022-506-ORD-3488, ORD Project No. TW-205
Copyright and License Information
Copyright 1961 Board of Trustees of the University of Illinois

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.