Design of Optimum Structures for Dynamic Loads

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Report Number: AFFDL TR 71-160 p. 619-658
Author(s): Venkayya, V. B., Khat, N. S., Tischler, V. A., Taylor, R. F.
Corporate Author(s): Air Force Flight Dynamics Laboratory
Date of Publication: 1973-12
Pages: 40
DoD Task:
Identifier: This paper is part of a conference proceedings. See AD0785968

An optimization method for the minimum weight design of structures subjected to dynamic loads is presented. The method is called designing in the dynamic mode. The dynamic mode may be a single natural mode of the structure or a linear combination of a set of natural modes depending on the spatial distribution and dynamic characteristics of the forcing function. An optimality criterion for minimum weight structures in the dynamic mode is derived. It is based on the strain energy and kinetic energy of the individual elements. A recursion relation for attaining the optimality criterion is also derived. The natural frequencies are obtained by using the Sturm Sequence property in conjunction with a bisection procedure. The normal modes are determined by inverse iteration . A step by step procedure for the optimum design under dynamic response constraints is presented. It includes a method for determining the modes that predominate in the dynamic response. Some examples of design are presented to illustrate the method.

Provenance: Bombardier/Aero

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