This paper aims at optimizing the parameters involved in stress analysis of perforated plates, in order to achieve the least amount of stress around the square-shaped holes located in a finite isotropic plate using metaheuristic optimization algorithms. Metaheuristics may be classified into three main classes: evolutionary, physics-based, and swarm intelligence algorithms. This research uses Ge...

In recent years, various heuristic optimization methods have been developed. Many of these methods are inspired by swarm behaviors in nature. In this paper, a new optimization algorithm based on the law of gravity and mass interactions is introduced. In the proposed algorithm, the searcher agents are a collection of masses which interact with each other based on the Newtonian gravity and the la...

The modified Newtonian dynamics (MOND) has been proposed as an alternative to the dark matter paradigm; the philosophy behind is that there is no dark matter and we witness a violation of the Newtonian law of dynamics. In this article, we interpret differently the phenomenology sustaining MOND, as resulting from an effect of “gravitational polarization”, of some cosmic fluid made of dipole mome...

The modified Newtonian dynamics (MOND) has been proposed as an alternative to the dark matter paradigm; the philosophy behind is that there is no dark matter and we witness a violation of the Newtonian law of dynamics. In this Letter, we interpret differently the phenomenology sustaining MOND, as resulting from an effect of “gravitational polarization”, of some cosmic fluid made of dipole momen...

We investigate a calculation method for the gravitational evolution of an extreme mass ratio binary, i.e. a binary constituting of a galactic black hole and a stellar mass compact object. The inspiralling stage of this system is considered to be a possible source of detectable gravitational waves. Because of the extreme mass ratio, one may approximate such a system by a black hole geometry (a K...

We study the effect of cosmological expansion on orbits–galactic, planetary, or atomic–subject to an inverse-square force law. We obtain the laws of motion for gravitational or electrical interactions from general relativity–in particular, we find the gravitational field of a mass distribution in an expanding universe by applying perturbation theory to the Robertson-Walker metric. Cosmological ...

We present an approximation scheme for gravitational force near arbitrarily shaped small bodies. The approximation uses polynomial interpolation with an adaptive spatial data structure. This data structure allows us to drive errors in the model to within user defined thresholds. The result is a method that is expected to reduce the run time of trajectory integrations around small bodies without...