Dynamic Relaxation Method. Theoretical Analysis, Solved Examples and Computer Programming - Softcover

Mohammed Elmardi, Osama

Softcover

ISBN 10: 3960670842 ISBN 13: 9783960670841

Publisher: Anchor Academic Publishing, 2016

Synopsis

This book is suitable as a textbook for a first course on the Dynamic Relaxation technique in civil and mechanical engineering curricula. It can be used as a reference by engineers and scientists working in the industrial sector and in academic institutions.
The first chapter includes an introduction to the Dynamic Relaxation method (DR) which is combined with the Finite Differences method (FD) for the sake of solving ordinary and partial differential equations, as a single equation or as a group of differential equations. In this chapter the dynamic relaxation equations are transformed to artificial dynamic space by adding damping and inertia effects. These are then expressed in finite difference form and the solution is obtained through iterations.
The procedural steps in solving differential equations using the DR method were applied to the system of differential equations (i.e. ordinary and/or partial differential equations). The DR program performs the following operations: Reads data file; computes fictitious densities; computes velocities and displacements; checks stability of numerical computations; checks convergence of solution; and checks wrong convergence. At the end the Dynamic Relaxation numerical method coupled with the Finite Differences discretization technique is used to solve nonlinear ordinary and partial differential equations. Subsequently, a FORTRAN program is developed to generate the numerical results as analytical and/or exact solutions.

About this title

About the Author

Osama Mohammed Elmardi was born in Sudan in 1966. He received a bachelor degree in mechanical engineering from SUST University Sudan in 1998 and a master degree in solid mechanics from Nile Valley University in 2003.

Edition details

• Publisher: Anchor Academic Publishing
• Publication date: 2016
• Language: English
• ISBN 10: 3960670842
• ISBN 13: 9783960670841
• Binding: Paperback
• Number of pages: 44