Applications of Mechanical Engineering

In this chapter a number of 24 applications of mechanical design are presented. For each application we present its mathematical model, the GAMS representation of it, and the performances of the solvers considered in this study. There is a large diversity of applications in mechanical engineering. We limit ourselves here to some interesting applications involving the design of a speed reducer of minimal weight for a small propeller-type aircraft engine, a pressure vessel, a gear train, a three-bar or a four-bar truss, a flywheel, a multispindle automatic lathe, a helical spring, as well as to the dynamic optimization of a rocket, a hanging chain problem, elastic–plastic torsion problem, robot kinematics problem, pressure distribution in a journal bearing, or problems associated with time minimization for a robot arm to travel between two fixed points, time minimization for a particle acted on by a thrust of constant magnitude to achieve a given altitude and terminal velocity, and the final horizontal position maximization of a hang glider in the presence of a thermal updraft.

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