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

Autor: Osama Mohammed Elmardi

Język:

Oprawa: Miękka

Wydawca: Anchor Academic Publishing

Dostępność: Dostępna u dostawcy

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This book is suitable as a textbook for a first course on the Dynamic Relaxation technique in civil...

Informacje o książce

Autor

Osama Mohammed Elmardi

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2016

strony

EAN

9783960670841

ISBN

3960670842

Enbook ID

15365309

Wydawca

Anchor Academic Publishing

Waga

Wymiary

148 x 210 x 3

Pełny opis

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.

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