𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Spectral analysis of Stokes waves

✍ Scribed by Rujian Ma; Guixi Li

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
104 KB
Volume
29
Category
Article
ISSN
0029-8018

No coin nor oath required. For personal study only.

✦ Synopsis

The spectral properties of Stokes waves are shown in this paper by theoretical and numerical methods. This is done by expressing wave profiles and velocities of water particles as nonlinear combinations of the first order component of wave profiles. Under the assumption of the first order wave profiles being zero mean Gaussian processes, the relationship between autocorrelation functions of wave profiles and velocities of water particles and the first order component of wave profiles is established using the nonlinear spectral analysis. The spectral densities of nonlinear random waves, the velocities and accelerations of water particles are then obtained. Numerical computations are carried out to analyze the effect of fundamental parameters of waves. The results indicate that wave height is the most sensible parameter to the root mean squares related and wave depth is the least sensible one of all.

πŸ“œ SIMILAR VOLUMES

Analysis of random nonlinear water waves
Analysis of random nonlinear water waves: the Stokes–Woodward technique
✍ Tanos Elfouhaily; Maminirina Joelson; StΓ©phan Guignard; Hubert Branger; Donald R πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 French βš– 158 KB

A generalization of the Woodward's theorem is applied to the case of random signals jointly modulated in amplitude and frequency. This yields the signal spectrum and a rather robust estimate of the bispectrum. Furthermore, higher order statistics that quantify the amount of energy in the signal due

Spectral-analysis-surface-waves-method i
Spectral-analysis-surface-waves-method in ground characterization
✍ J. FernΓ‘ndez; L. Hermanns; A. Fraile; E. AlarcΓ³n; I. del Rey πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier 🌐 English βš– 394 KB

The prediction of train induced vibration levels in structures close to railway tracks before track construction starts is important in order to avoid having to implement costly mitigation measures afterwards. The used models require an accurate characterization of the propagation medium i.e. the so