This paper presents a new finite element formulation for the free vibration analysis of composite beams based on the third-order beam theory. This work also studies the influence of the mass components resulting from higher-order displacements on the frequencies of flexural vibration. By using Hamil
3-D finite element analysis of composite beams with parallel fibres, based on homogenization theory
โ Scribed by M. Lefik; B. A. Schrefler
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 871 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0178-7675
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โฆ Synopsis
The theoretical model of a beam of unidirectional composites, based on the homogenization theory and a refined kinematical hypothesis is presented. Effective material coefficients for the constitutive equation are computed. Description of the stresses on the level of the periodic microstructure is given. The kinematical hypothesis for the beam type behaviour includes the independent shear rotations. The resulting modelling strategy is presented for which a finite element code has been developed. Application of the theory to superconducting coils is shown. 1
๐ SIMILAR VOLUMES
In this paper a refined higher-order shear deformation theory for the instability finite element analysis of fibre reinforced shell like composite structures is developed. A higher order shear deformation theory allows parabolic description of the transverse shear stresses and therefore the shear co