## Abstract The soβcalled Timoshenko beam equation is a good linear model for the transverse vibrations of a homogeneous beam. Following the variational approach of Washizu, the governing equation is deduced in the case when the physical/geometrical parameters of the beam vary along its axis. The e
Invariant properties of Timoshenko beam equations
β Scribed by Peter A. Djondjorov
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 670 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0020-7225
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π SIMILAR VOLUMES
Wave reflection in a Timoshenko beam is treated, using wave splitting and the imbedding technique. The beam is assumed to be inhomogeneous and restrained by a viscoelastic suspension. The viscoelasticity is characterized by constitutive relations that involve the past history of deflection and rotat
It is well known that TimoshenkoΓs theory is a refined beam theory which takes shear deformation and rotatory inertia into account. Here, for the first time, an integral equation description for all relevant states, the deflection, the rotation, the bending moment, and the shear forces is derived. A