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Estimations of the Effect of Design Changes on the Modes and Frequencies of Vibrating Structural Elements.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OHIO SCHOOL OF ENGINEERING
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As the state description of a structural system changes, the eigenvalues and eigenfunctions may also change. The paper derives expressions for the rates of change of these characteristic quantities for continuous systems. These derivatives can be used in a Taylor series to predict values for perturbed designs. Normally a series of approximation is valid within some narrow neighborhood of the initial or known state. An iterative technique is developed which reduces this restriction. The field of structural optimization has achieved greater importance as more is demanded of designs. Least mass solutions are obtained for the sandwich and solid rectangular beams. The problem of optimizing an Euler column is also examined. Modified author abstract
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