Vibrations of a Timoshenko Beam, Using Finite‐Element Approach
✍ Scribed by Kapur, Kanwar K.
- Book ID
- 120613225
- Publisher
- American Institute of Physics
- Year
- 1966
- Tongue
- English
- Weight
- 520 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0001-4966
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This paper presents a four-node Timoshenko beam finite element with variable degrees of freedom. Both the element transverse displacement and the rotation of the beam cross-section are described by a cubic polynomial plus a variable number of trigonometric sine terms. The polynomial terms are used t
A new linearly pre-twisted Timoshenko beam finite element, which has two nodes and four-degrees-offreedom per node, is developed and subsequently used for coupled bending-bending vibration analysis of pre-twisted beams with uniform rectangular cross-section. First, displacement functions based on tw