We present an approximate method to study the analysis for both the in-plane and out-of-plane free vibration of horizontally curved beams with arbitrary shapes and variable cross-sections. The characteristic equation for free vibration can be derived by applying the Green function, which is obtained
Out-of-plane free vibrations of curved beams with variable curvature
โ Scribed by Byoung Koo Lee; Sang Jin Oh; Jeong Man Mo; Tae Eun Lee
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 608 KB
- Volume
- 318
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The equations governing free, in-plane vibrations of variable curvature arches are derived and solved numerically to obtain frequencies and mode shapes for parabolic, sinusoidal and elliptic geometries. Included are experimental validations of the lowest four predicted frequencies and mode shapes fo
The governing di!erential equations for out-of-plane vibrations of curved non-uniform beams of constant radius are derived. Two physical parameters are introduced to simplify the analysis. The explicit relations between the #exural displacement, its "rst three order derivatives and the torsional dis