Vibration of a cantilever beam that slides axially in a rigid frictionless hole
DeVries, Mark R.
MetadataShow full item record
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.
RightsThis 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.
Showing items related by title, author, creator and subject.
Agrawal, B.N. (1993);This paper presents a boundary-layer model to predict dynamic characteristics of liquid motion in partially filled tanks of a spinning spacecraft. The solution is obtained by solving three boundary-value problems: an ...
Schwartz, Garry S. (Monterey, California. Naval Postgraduate School, 1993-03);This thesis addresses two problems in aligning the recruiting structure for Navy Recruiting Command. The first problem involves two decisions affecting recruiting stations within a single recruiting district: which stations ...
On partitioning an arbitrarily given set of elements of a finite Boolean algebra into the minimum number of sets of compatible elements Colwell, Samuel C., III (Monterey, California. Naval Postgraduate School, 1964);During the past several years at the United States Naval Postgraduate School there has been much interest in obtaining an efficient method for making a time schedule for classes. A mathematical model for a simplified ...