Design of Optimum Structures for Dynamic Loads

Item

Title
Design of Optimum Structures for Dynamic Loads
Description
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.
Creator
Venkayya, V. B.
Khat, N. S.
Tischler, V. A.
Taylor, R. F.
Abstract
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.
Corporate Author
Air Force Flight Dynamics Laboratory
Report Number
AFFDL TR 71-160 p. 619-658
Report Availability
Full text available
Publisher
Wright-Patterson Air Force Base, OH : Air Force Flight Dynamics Laboratory, Air Force Systems Command and Air Force Institute of Technology, Air University
Date
1973
Type
article
Date Issued
1973-12
Provenance
Bombardier/Aero
Distribution Classification
1
Distribution Conflict
No
DTIC Record Exists
No
Format
1 online resource (40 pages) : ill.
Extent
40
Identifier
AD0785968
Is Part Of
Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971
Media
AFFDLTR71-160article21.pdf

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Items with "Has Part: Design of Optimum Structures for Dynamic Loads"
Title Class
Proceedings of the Third Conference on Matrix Methods in Structural Mechanics: Proceedings of the Conference held at Wright-Patterson Air Force Base, Ohio 19-21 October 1971