A UNIFIED TIMOSHENKO BEAM B-SPLINE RAYLEIGH–RITZ METHOD FOR VIBRATION AND BUCKLING ANALYSIS OF THICK AND THIN BEAMS AND PLATES
✍ Scribed by S. WANG
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 161 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0029-5981
No coin nor oath required. For personal study only.
✦ Synopsis
First, the shear-locking phenomenon in the w B k SRRM 1-3 is investigated and the shear-locking terms are identiÿed in both one-dimensional beam and two-dimensional plate analyses. Subsequently the shear-locking free conditions are proposed and under the guidance of these conditions the Timoshenko beam B-spline Rayleigh-Ritz method, designated as TB k SRRM, is formulated for vibration analysis of beams based on Timoshenko beam theory and vibration and buckling analysis of isotropic plates or ÿbre-reinforced composite laminates based on the ÿrst-order shear deformation plate theory (SDPT). In TB k SRRM the number of degrees of freedom is exactly the same as that when the Bernoulli-Euler beam theory or classical plate theory (CPT) is used. However, the TB k SRRM includes the through-thickness shearing and rotary inertia e ects in full. Several numerical applications are presented and they show that this uniÿed approach is extremely e cient for both thick and thin beams and plates.