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

Dynamic Relaxation Method. Theoretical Analysis, Solved Examples and Computer Programming
Author: Osama Mohammed Elmardi
Publisher: Anchor Academic Publishing
Total Pages: 45
Release: 2016-11
Genre: Technology & Engineering
ISBN: 3960670842
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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.

Computational Mechanics '86

Computational Mechanics '86
Author: Genki Yagawa
Publisher: Springer Science & Business Media
Total Pages: 1360
Release: 2013-11-11
Genre: Science
ISBN: 443168042X
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It is often said that these days there are too many conferences on general areas of computational mechanics. mechanics. and numer ical methods. vJhile this may be true. the his tory of scientific conferences is itself quite short. According to Abraham Pais (in "Subtle is the Lord ...• " Oxford University Press. 1982. p.80). the first international scientific conference ever held was the Karlsruhe Congress of Chemists. 3-5 September 1860 in Karlsruhe. Germany. There were 127 chemists in attendance. and the participants came from Austria. Belgium. France. Germany. Great Britain. Italy. Mexico. Poland. Russia. Spain. Sweden. and Switzerland. At the top of the agenda of the points to be discussed at this conference was the question: "Shall a difference be made between the expressions molecule and atom?" Pais goes on to note: "The conference did not at once succeed in bringing chemists closer together ... It is possible that the older men were offended by the impetuous behavior and imposing manner of the younger scientists" (see references cited in Pais' book). It may be observed that history. in general. repeats itself. However. at ICCM-86 in Tokyo. roughly 500 participants from both the West and the East were in attendance; there were only scholarly exchanges; the young tried to learn from the more experienced. and a spirit of international academic cooperation prevailed.

Road and Off-Road Vehicle System Dynamics Handbook

Road and Off-Road Vehicle System Dynamics Handbook
Author: Gianpiero Mastinu
Publisher: CRC Press
Total Pages: 1710
Release: 2014-01-06
Genre: Science
ISBN: 0849333229
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Featuring contributions from leading experts, the Road and Off-Road Vehicle System Dynamics Handbook provides comprehensive, authoritative coverage of all the major issues involved in road vehicle dynamic behavior. While the focus is on automobiles, this book also highlights motorcycles, heavy commercial vehicles, and off-road vehicles. The authors of the individual chapters, both from automotive industry and universities, address basic issues, but also include references to significant papers for further reading. Thus the handbook is devoted both to the beginner, wishing to acquire basic knowledge on a specific topic, and to the experienced engineer or scientist, wishing to have up-to-date information on a particular subject. It can also be used as a textbook for master courses at universities. The handbook begins with a short history of road and off-road vehicle dynamics followed by detailed, state-of-the-art chapters on modeling, analysis and optimization in vehicle system dynamics, vehicle concepts and aerodynamics, pneumatic tires and contact wheel-road/off-road, modeling vehicle subsystems, vehicle dynamics and active safety, man-vehicle interaction, intelligent vehicle systems, and road accident reconstruction and passive safety. Provides extensive coverage of modeling, simulation, and analysis techniques Surveys all vehicle subsystems from a vehicle dynamics point of view Focuses on pneumatic tires and contact wheel-road/off-road Discusses intelligent vehicle systems technologies and active safety Considers safety factors and accident reconstruction procedures Includes chapters written by leading experts from all over the world This text provides an applicable source of information for all people interested in a deeper understanding of road vehicle dynamics and related problems.