Optimization of Dynamic Response of Complex Vehicular Structures.
IOWA UNIV IOWA CITY DEPT OF MECHANICS AND HYDRAULICS
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In this report, optimum design of the dynamic response of vehicular structures is considered. A generalized steepest descent method is developed which integrates the equations of motion of the system quite nicely. The general theory developed is then applied to a two degrees of freedom model with damping. The objective function for the problem consists of peak velocities and accelerations during a specified time interval. Since analytic solutions of equations of motion are not known, an expression for a peak response cannot be written in terms of the design variables. So, the maximum values of various functions are expressed as norms in the Lp space. Two techniques of expressing the constraints on the response quantities are tried. In the first technique, these constraints are expressed in terms of norms in the Lp space. This representation did not work very well because the rate of convergence of Lp norms was quite slow. In the second technique, the bounds on the response quantities are treated as functional constraints. This formulation worked quite satisfactorily and the results obtained for it are presented and discussed. Author
- Surface Transportation and Equipment