Parametric resonance of a beam subjected to a sawtooth, axial force

Author

Alfred George Richardson

Abstract

"This study considers the response of a perfectly elastic straight beam subjected to a periodic, non-harmonic, axial load. A two-mode solution is sought and the effects of axial inertia are included in the analysis. General equations of motion for the beam are developed and their stability is studied with the aid of an analog computer. Results are presented in graphical form. Regions of instability are defined for both modes. A region of combination resonance is also found to occur for the case of a two-mode solution with axial inertia. Typical response curves are presented and the effects of axial inertia and damping are discussed"--Abstract, page ii.

Advisor(s)

Koval, Leslie Robert

Committee Member(s)

Flanigan, V. J.
Schaefer, Rodney A., 1926-2002

Department(s)

Mechanical and Aerospace Engineering

Degree Name

M.S. in Aerospace Engineering

Publisher

University of Missouri--Rolla

Publication Date

1973

Pagination

vi, 61 pages

Note about bibliography

Includes bibliographical references (pages 31-32).

Rights

© 1973 Alfred George Richardson, All rights reserved.

Document Type

Thesis - Open Access

File Type

text

Language

English

Subject Headings

Parametric vibrationDynamicsAxial loads

Thesis Number

T 2878

Print OCLC #

6029457

Electronic OCLC #

914169694

Recommended Citation

Richardson, Alfred George, "Parametric resonance of a beam subjected to a sawtooth, axial force" (1973). Masters Theses. 3491.
https://scholarsmine.mst.edu/masters_theses/3491