The dynamic sti!ness matrix of a centrifugally sti!ened Timoshenko beam has been developed and used to carry out a free vibration analysis. The governing di!erential equations of motion of the beam in free vibration are derived using Hamilton's principle and include the e!ect of an arbitrary hub rad
Dynamic stiffness analysis of non-uniform timoshenko beams
β Scribed by A.Y.T. Leung; W.E. Zhou
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 483 KB
- Volume
- 181
- Category
- Article
- ISSN
- 0022-460X
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π SIMILAR VOLUMES
The free vibration of an elastically restrained symmetric non-uniform Timoshenko beam resting on a non-uniform elastic foundation and subjected to an axial load is studied. The two coupled governing characteristic differential equations are reduced into two separate fourth order ordinary differentia
In this paper, an exact dynamic stiffness matrix is presented for a composite beam. It includes the effects of shear deformation and rotatory inertia: i.e., it is for a composite Timoshenko beam. The theory accounts for the (material) coupling between the bending and torsional deformations which usu
A solution procedure for studying the dynamic responses of a non-uniform Timoshenko beam with general time-dependent boundary conditions is developed by generalizing the method of Mindlin-Goodman and utilizing the exact solutions of non-uniform Timoshenko beam vibration given by Lee and Lin. A gener
## Abstract A follower force is an applied force whose direction changes according to the deformed shape during the course of deformation. The dynamic stiffness matrix of a nonβuniform Timoshenko column under follower force is formed by the powerβseries method. The dynamic stiffness matrix is unsym