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Planar dynamics of a uniform beam with rigid bodies affixed to the ends

Author: Joel Storch; Stephen Gates; Charles Stark Draper Laboratory,; Lyndon B. Johnson Space Center,
Publisher: Cambndge, Massachusetts : The Charles Stark Draper Laboratory, Inc. ; Houston, TX : National Aeronautics and Space Administration, Johnson Space Center, 1993.
Series: NASA contractor report, NASA CR-175566.; NASA contractor report, 175566.
Edition/Format:   Book   Microform : National government publication : Microfiche : EnglishView all editions and formats
Summary:
"The planar dynamics of a uniform elastic beam subject to a variety of geometric and natural boundary conditions and external excitations were analyzed. The beams are inextensible and capable of small transverse bending deformations only. Classical beam vibration eigenvalue problems for a cantilever with tip mass, a cantilever with tip body and an unconstrained beam with rigid bodies at each are examined. The  Read more...
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Additional Physical Format: Online version:
Storch, Joel.
Planar dynamics of a uniform beam with rigid bodies affixed to the ends
(OCoLC)872585205
Material Type: Government publication, National government publication
Document Type: Book
All Authors / Contributors: Joel Storch; Stephen Gates; Charles Stark Draper Laboratory,; Lyndon B. Johnson Space Center,
OCLC Number: 14820134
Notes: "May 1983."
Description: 1 microfiche (v, 90 pages) : negative, illustrations ; 11 x 15 cm.
Series Title: NASA contractor report, NASA CR-175566.; NASA contractor report, 175566.
Responsibility: by Joel Storch, Stephen Gates.

Abstract:

"The planar dynamics of a uniform elastic beam subject to a variety of geometric and natural boundary conditions and external excitations were analyzed. The beams are inextensible and capable of small transverse bending deformations only. Classical beam vibration eigenvalue problems for a cantilever with tip mass, a cantilever with tip body and an unconstrained beam with rigid bodies at each are examined. The characteristic equations, eigenfunctions and orthogonality relations for each are derived. The forced vibration of a cantilever with tip body subject to base acceleration is analyzed. The exact solution of the governing nonhomogeneous partial differential equation with time dependent boundary conditions is presented and compared with a Rayleigh-Ritz approximate solution. The arbitrary planar motion of an elastic beam with rigid bodies at the ends is addressed. Equations of motion are derived for two modal expansions of the beam deflection. The motion equations are cast in a first order form suitable for numerical integration. Selected FORTRAN programs are provided."--NTIS abstract.

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