𝔖 Bobbio Scriptorium
✦   LIBER   ✦

TRANSVERSE VIBRATIONS OF A FLEXIBLE BEAM SLIDING THROUGH A PRISMATIC JOINT

✍ Scribed by M. Gürgöze; S. Yüksel

Book ID
102607277
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
196 KB
Volume
223
Category
Article
ISSN
0022-460X

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✦ Synopsis

In this paper, the vibrations of an axially moving ¯exible beam sliding through an arbitrarily driven prismatic joint, restricted to move on a horizontal plane, are investigated. Upon considering the assumption of an Euler±Bernoulli beam in addition to the eects of rotary inertia, end-mass and axial force in association with axial foreshortening, the equations of motion and the associated boundary conditions of the dynamic system are derived by using the extended Hamilton's principle, forming a complex boundary value problem. Due to diculties in ®nding an analytical solution, the assumed modes method is utilized to obtain an approximate solution to the problem. Simulation results are presented for some typical kinematical inputs of the prismatic joint of the model.

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