GPH - International Journal Of Mechanical And Civil Engineering → http://www.gphjournal.org/index.php/mce <p style="font-family: Comic Sans MS;">GPH Journal publishes original papers within the broad field of civil &amp; mechanical → engineering which include, but are not limited to: Coastal and Harbor Engineering, Architecture and Construction Engineering, Environmental Engineering, Materials Engineering, Structural Engineering, Water and Sanitary Engineering, Transportation Engineering, Surveying and Geodesy. Construction Management, Geo-technical Engineering, Highway Engineering, Information Technology, Nuclear Power Engineering, Railroad Engineering, Structural Engineering, Surveying and Geo-Spatial Engineering, Tunnel Engineering, Water Engineering.</p> en-US <p>Author(s) and co-author(s)&nbsp;jointly&nbsp;and severally represent and warrant that the Article is original with the author(s) and does not infringe any&nbsp;copyright or violate any other right of any third parties, and that the Article has not been published&nbsp;elsewhere.&nbsp;Author(s) agree to the terms that the <strong>GPH Journal</strong> will have the full right to remove the published article on any misconduct found in the published article.</p> editor@gphjournal.org (Rahul Khan) info@gphjournal.org (Fran) Thu, 31 Oct 2019 00:00:00 +0000 OJS 3.1.1.2 http://blogs.law.harvard.edu/tech/rss 60 UTILIZATION OF DYNAMIC RELAXATION METHOD IN SOLVING ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS OF RECTANGULAR ENGINEERING STRUCTURES http://www.gphjournal.org/index.php/mce/article/view/254 <p>The method of dynamic relaxation in its early stages of development was perceived as a numerical finite difference technique. It was first used to analyze structures, then skeletal and cable structures, and plates. The method relies on a discretized continuum in which the mass of the structure is assumed to be concentrated at given points (i.e. nodes) on the surface. The system of concentrated masses oscillates about the equilibrium position under the influence of out of balance forces. With time, it comes to rest under the influence of damping. The iterative scheme reflects a process, in which static equilibrium of the system is achieved by simulating a pseudo dynamic process in time. In its original form, the method makes use of inertia term, damping term and time increment. The basics of this research paper stand on the ordinary and partial differential equations, which value the price of an option by using dynamic relaxation (DR) techniques. The study of partial differential equations in complete generality is a vast undertaking. As almost all of them are not possible to solve analytically we must rely on numerical methods, and the most popular ones are the finite differences methods coupled with dynamic relaxation techniques. With this research paper&nbsp; i do not intend to become an expert in few hours in order to solve differential equations numerically, but develop both intuition and technical strength required to survive when such a problem needs to be solved.</p> Dr. Osama Mohammed Elmardi Suleiman Khayal ##submission.copyrightStatement## http://creativecommons.org/licenses/by-nc-nd/4.0 http://www.gphjournal.org/index.php/mce/article/view/254 Thu, 31 Oct 2019 00:00:00 +0000