Weight Optimization of Solid Beams with Dynamic Constraints.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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The mass distribution of solid beams and panels is optimized to produce a weight savings while maintaining a dynamic constraint. The basic procedure used in solving the problems is the transition matrix method, a numerical technique of optimization adapted from optimal control theory. The weight of a solid beam of rectangular cross section is shown to be reduced from that of a beam of uniform thickness by ten percent. The weight savings was accomplished by varying the thickness while insuring that the beam with the optimal thickness had the same fundamental frequency as the beam of uniform thickness. Author Modified Abstract