Hostname: page-component-cd9895bd7-p9bg8 Total loading time: 0 Render date: 2024-12-25T06:10:24.478Z Has data issue: false hasContentIssue false
  • English
  • Français

Note on Some Applications of the Matrix Force Method of Structural Analysis

Published online by Cambridge University Press:  04 July 2016

Alex L. M. Grzedzielski
Alex L. M. Grzedzielski*
Affiliation:
National Aeronautical Establishment, Ottawa
Get access Rights & Permissions [Opens in a new window]

Extract

The Matrix Force Method is frequently used in the stress analysis of complicated aircraft structures. It assumes as unknown quantities, or redundancies, groups of internal loads, and yields stresses and displacements in terms of a set of unit loads. Lately, this method has been extended to include effects of uneven temperature distribution. With large structures, the method is most effective with high speed digital techniques which allow considerable computational detail to be stored in the computer memory. Theoretically, the method is based on the Castigliano theorem of least work, equivalent formulations being possible. Hence the method is applicable to elastic problems of the first order only, i.e. strains infinitesimal, structural distortions not affecting equilibrium conditions markedly.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 64 , Issue 594 , June 1960 , pp. 354 - 357
Copyright
Copyright © Royal Aeronautical Society 1960

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Argyris, J. H. and Kelsey, S. (1957). The Matrix Force Method of Structural Analysis and Some New Applications. A.R.C. R. & M. 3034. 1957.Google Scholar
2.Argyris, J. H. (1959). Recent Developments of Matrix Theory of Structures. AGARD 1959. (To be published.)Google Scholar
3.Grzedzielski, Alex. L. M. (1959). Organization of a Large Computation in Aircraft Stress Analysis. AGARD 1959. (To be published) See also National Research Council of Canada, Aero. Report LR-257.Google Scholar
4.Timoshenko, S. (1951). Theory of Elasticity, 2nd Edition. McGraw-Hill, 1951.Google Scholar
5.Hemp, W. S. (1955). On the Application of Oblique Coordinates to Problems of Plane Elasticity and Swept–back Wing Structures. A.R.C. R & M. 2754. 1955.Google Scholar