Stability of a Perforated Quarter Circle Breakwater

Artificial Intelligence and Rubble-Mound Breakwater Stability

Breakwaters are coastal structures constructed to shelter a harbour basin from waves. There are two main types: rubble-mound breakwaters, consisting of various layers of stones or concrete pieces of different sizes (weights), making up a porous mound; and vertical breakwaters, impermeable and monolythic, habitually composed of concrete caissons. This article deals with rubble-mound breakwaters....

Wave interaction with a perforated circular breakwater of non-uniform porosity

Forced Motions of a Rigid-Body Breakwater

Now the last and most realistic problem will be investigated. This problem treats the breakwater as a rigid body that undergoes periodic wave forcing. This problem is the most realistic because a breakwater truly has physical dimensions in reality and would behave as a rigid body. Furthermore, if a breakwater is in the sea, then it will feel the effects of waves acting on it and not just the ef...

A TAXICAB VERSION OF A TRIANGLE' S APOLLONIUS CIRCLE

One of the most famous problems of classical geometry is the Apollonius' problem asks construction of a circle which is tangent to three given objects. These objects are usually taken as points, lines, and circles. This well known problem was posed by Apollonius of Perga ( about 262 - 190 B.C.) who was a Greek mathematician known as the great geometer of ancient times after Euclid and Archimede...

Fraction-Free Unit Circle Stability Tests

The paper considers five fraction-free (FF) tests to determine whether a complex or a real polynomial has all its zeros inside the unit-circle. A FF test for complex polynomial is applicable to both complex and real polynomials where the FF property means that when it is applied to Gaussian or real integer coefficients, it can be completed over the respective ring of integers, i.e., it is Gauss...