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Vibrations of a three-layer beam with a viscoelastic middle layer


Van Dillen, David Edwin (1972) Vibrations of a three-layer beam with a viscoelastic middle layer. Engineer's thesis, California Institute of Technology. doi:10.7907/P2BD-K350.


The equations governing a three-layer beam in which the middle layer is viscoelastic were derived by means of a variational principle. These equations were solved subject to arbitrary time dependent boundary conditions of both the simply-supported and cantilever type. In the simply-supported case, an eigenfunction expansion was constructed after the governing equations had been transformed through operation by a differential operator. In the cantilever case, the solution was obtained by Fourier transform with respect to time, and inversion by residue theory. An analysis of the theoretical response of the cantilever beam to steady state sinusoidal loading was carried out, and an experiment was conducted for comparison.

Item Type:Thesis (Engineer's thesis)
Subject Keywords:Aeronautics
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Babcock, Charles D.
Thesis Committee:
  • Unknown, Unknown
Defense Date:26 May 1972
Funding AgencyGrant Number
Office of Aerospace Research, United States Air ForceAFOSR 68-1424
Record Number:CaltechTHESIS:08262010-162507540
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6010
Deposited By: Benjamin Perez
Deposited On:27 Aug 2010 22:46
Last Modified:20 Dec 2019 19:29

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