Vibration of a cantilever beam that slides axially in a rigid frictionless hole
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Authors
DeVries, Mark R.
Subjects
Cantilever beam
finite element method
axial motion
vibration
transient behavior
finite element method
axial motion
vibration
transient behavior
Advisors
Salinas, David
Date of Issue
1990-09
Date
1990-09
Publisher
Monterey, California: Naval Postgraduate School
Language
Abstract
In 1979, Boresi and Salinas prepared a report that formulates the problem and proposes a solution procedure. The report was the result of an interest in the transient behavior of a gun barrel during recoil following firing. This research considers a cantilever beam which can move axially in and out of a rigid frictionless hole and is free to vibrate laterally outside the hole. Two Euler equations describing the lateral and axial motion of the beam are presented. A transformation of coordinates to eliminate the moving boundary, and spatial non dimensionalization are used to transform the problem into a system of two coupled non linear partial differential equations with a fixed domain. A finite element formulation provides a numerical solution to the problem.
Type
Thesis
Description
Series/Report No
Department
Mechanical Engineering
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
xii, 110 p. ill.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.