Dynamic response of a simply supported beam to an accelerating point load

Resource Information

The work Dynamic response of a simply supported beam to an accelerating point load represents a distinct intellectual or artistic creation found in University of Missouri-St. Louis Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Dynamic response of a simply supported beam to an accelerating point load

Statement of responsibility

by Joseph Victor Cusumano

Creator

• Cusumano, Joseph Victor, 1939-

Author

• Cusumano, Joseph Victor, 1939-

Subject

• Foundations -- Elastic properties
• Girders -- Elastic properties
• Vibration -- Mathematical models

Language

eng

Summary

"An analysis based on linear theory is presented for determining the dynamic response of a simply supported beam on an elastic foundation acted upon by a moving time dependent point force with axial forces included. This thesis extends the present theory to include an analysis of a point force accelerating uniformly across the beam. In particular, it is shown that the customary resonance conditions which are prevalent for a point force moving with uniform velocity no longer exist for the case of a point force accelerating uniformly across the beam. The basic problem and its solution are presented for a simply supported beam on an elastic foundation subjected to a time dependent point force moving across the beam with either (A) uniform acceleration or (B) uniform velocity. The solutions for both cases are effected [sic] by employing standard Fourier techniques to the governing linear fourth order beam equation. Furthermore, the solution for Case (A) is completed by employing known properties of the Fresnel Integrals. The general solution for both cases is determined for two sets of initial displacement conditions corresponding to (I) a point force dropped from zero height at an arbitrary position on an initially undeformed beam and (II) a point force initially at rest at an arbitrary position on the beam. The beam velocity is initially taken to be zero everywhere in both cases"--Abstract, pages ii-iii

Member of

• MST Thesis. Engineering Mechanics (M.S., 1967)

Cataloging source

UMR

Degree

M.S.

Dissertation year

1967.

Granting institution

University of Missouri at Rolla

Illustrations

illustrations

Index

no index present

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography
• theses