الفهرس 
INTRODUCTIONOnly 14 pages are availabe for public view
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Abstract
Design of experiments ( DOE ) is a formal mathematical method for systematically planning and conducting scientific studies that change input variables together to decide their impact on a given response.DOE makes controlled changes to input variables in order to gain maximum amounts of information on cause and effect relationships with a minimum sample size.In this investigation, crank shaft length, connecting rod length, crank angle, engine rpm, cylinder bore, mass of piston and compression ratio are the inputs that can control the performance of the slider crank mechanism and then its efficiency represented in the engine output torque. Several combinations of these seven inputs are used and compared. The throughput engine torque calculated by the dynamical analysis is analyzed through two different regression models, with and without interaction terms, developed according to randomized incomplete block design and multi-linear regression using LU decomposition to solve system of algebraic equations. These models are validated. A regression model in seven inputs including their interaction terms lowered the polynomial degree from 3rd degree to 1st degree and suggested valid predictions and stable explanations.An optimal point compatible with both, the dynamical model obtained from complete dynamical analysis of the system and the regression model obtained from numerical solution, was calculated to maximize the engine output torque. The Thesi Chapter one : is a general introduction to the subject, definition of the design of the experiments, its principles and different strategies to be applied and the reasons that prompted us to take care of this research point. Chapter two : Literature review and research published in this field. Chapter three : introduce the slider crank mechanism and the dynamical analysis to describe the movement in terms of position, speed, acceleration and forces affecting on it to calculate the engine output torque. Chapter four : Mathematical models were conducted by using randomized incomplete block design and regression analysis of single or multi-input single-output systems, discussing and analyzing the results, then finding the optimal point compatible with both, the dynamical model obtained from complete dynamical analysis of the system and the regression model obtained from numerical solution This is followed by list of references.Finally, one appendix contains the MATLAB software codes that were used to find solutions for system of algebraic equations during the regression analysis and optimization problem.