Analytial studies on wave number of coastal wave propagating in region of elastic top with elastic bottom
Tan, Sing Hai
Date of Issue2017-06-01
School of Civil and Environmental Engineering
This report contains simple but tactful analytical studies on coastal wave’s behavior via wave number in which patterns are emphasized than numerical values, presenting the mathematical derivation on the dispersion relation equation of wave propagating in a region consisting of elastic layer floating at the surface with elastic bed at the bottom. The derivation process is completed through three preceding scenarios, namely free surface top with rigid bottom, elastic top with rigid bottom and free surface top with elastic bottom. Ideal condition is assumed. Bernoulli equation sets up for dynamic boundary conditions; Euler-Bernoulli dynamic beam equation accounts for elasticity of elastic conditions. As the derived equation is implicit, the numerical solution will be solved plotted by Matlab with interpolating functions. With different graphs, proving will be shown, major patterns between various parameters and wave number will be data-mined and discussed thoroughly on the possible reason of occurrence accordingly for understanding while examining on the relevance of results to the physical reality.
Final Year Project (FYP)
Nanyang Technological University