Back to results

University of New Hampshire

EFFECTS OF ROTARY INERTIA AND SHEAR DEFORMATION ON EXTENSIONAL VIBRATIONS OF CONTINUOUS CIRCULAR CURVED BEAMS

Abstract

dc:description.abstract

<p>This dissertation is devoted to the dynamic analysis of continuous circular curved beams. The dynamic stiffness matrix is derived for the determination of natural frequencies of continuous curved beams undergoing in-plane vibrations. The formulation of stiffness matrix may be widely applied to problems with various consideration of Bernoulli-Euler Theory, Rayleigh Theory and Timoshenko Theory. Using this formulation for dynamic loading, the fixed-end moment, shear and thrusts for concentrated and distributed loads have been derived. Two continuous circular curved beams subjected to free and forced vibrations are given to illustrate the application of the proposed method and to show the effects of rotary inertia, shear deformation, axial deformation, frequency of the applied load and the central angle of the arc on the beams.</p>

Degree

thesis:*
Name thesis:degree_name
Doctor of Philosophy
Level thesis:degree_level
Dissertation
Year
1983

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • SAID ISSA, MOHAMED EL-SAID

Subjects

dc:subject × 2

Identifiers

dc:identifier.*
Repository record dc:identifier
https://scholars.unh.edu/dissertation/1395
OAI identifier oai:identifier
oai:scholars.unh.edu:dissertation-2394

Chain of custody

source
Harvested from
University of New Hampshire
Base URL
scholars.unh.edu/do/oai/
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

SAID ISSA, MOHAMED EL-SAID. EFFECTS OF ROTARY INERTIA AND SHEAR DEFORMATION ON EXTENSIONAL VIBRATIONS OF CONTINUOUS CIRCULAR CURVED BEAMS. Dissertation thesis, 1983. https://scholars.unh.edu/dissertation/1395