Starting from the governing di!erential equations of motion in free vibration, the dynamic sti!ness matrix of a uniform rotating Bernoulli}Euler beam is derived using the Frobenius method of solution in power series. The derivation includes the presence of an axial force at the outboard end of the b
THE DYNAMIC STIFFNESS MATRIX METHOD IN FORCED VIBRATION ANALYSIS OF MULTIPLE-CRACKED BEAM
โ Scribed by N.T. KHIEM; T.V. LIEN
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 356 KB
- Volume
- 254
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
โฆ Synopsis
The dynamic behaviour of a beam with numerous transverse cracks is studied. Based on the equivalent rotational spring model of crack and the transfer matrix for beam, the dynamic sti!ness matrix method has been developed for spectral analysis of forced vibration of a multiple cracked beam. As a particular case, when the excitation frequency is close to zero, the solution for static response of beam with an arbitrary number of cracks has been obtained exactly in an analytical form. In general case, the e!ect of crack number and depth on the dynamic response of beam was analyzed numerically.
๐ SIMILAR VOLUMES
Marine risers are widely used in the o!shore industry for a variety of purposes, such as deep water drilling, export and production. Slender marine risers are often subject to vortex-induced vibration (VIV), and therefore require accurate dynamic modelling for prediction of natural frequencies, mode
In a previous series of papers [1][2][3], a general model based on Hamilton's