Transfer Matrices for Beams Loaded Axially and Laid on an Elastic Foundation
- 1 February 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Aeronautical Quarterly
- Vol. 20 (3) , 281-306
- https://doi.org/10.1017/s0001925900005084
Abstract
Summary: Using a modified model of the axially-loaded Timoshenko beam, nine field transfer matrices for the homogeneous case and three field matrices for the non-homogeneous case have been derived, covering thus all the “cases of state” of continuous beams loaded axially and laid on an elastic foundation. The loads and restraints (translatory and rotatory) may be both concentrated and distributed. The matrices make possible a simultaneous treatment of free vibrations, forced vibrations, statics and buckling.Keywords
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