The Matrix Deformation Method of Structural Analysis
Report Number: AFFDL TR 71-160 p. 85-112
Author(s): Denkem P. H., Eide, G. R.
Corporate Author(s): Douglas Aircraft Company , McDonnell Douglas Corporation
Date of Publication: 1973-12
Pages: 28
DoD Task:
Identifier: This paper is part of a conference proceedings. See AD0785968
Abstract:
Three new matrix methods of structural analysis are presented: (1) Matrix Deformation, (2) Unified Force Deformation, and (3) Static Force. These approaches are related to the matrix force method in that they require the selection of redundants. The distinguishing feature of the matrix deformation method is that deformations of elements in the continuous structure, which are initially designated as "statically determinate," are computed before displacements and redundants. A comparison of the matrix deformation method with the matrix force approach shows that the matrix force method is most efficient when the ratio of number of redundants to number of statically determinate forces is small, while the matrix deformation method is most efficient when this ratio is greater than unity. The order of the matrix to be solved in computing static deformations is the same as the order of the K matrix in the displacement method. Compared to the displacement method , the matrix deformation approach offers the advantage of improved matrix conditioning through proper selection of static deformations. The unified force deformation method provides a theoretical basis from which the redundant force and matrix deformation methods can be derived . The static force method was investigated and found to be inefficient.
Provenance: Bombardier/Aero
Author(s): Denkem P. H., Eide, G. R.
Corporate Author(s): Douglas Aircraft Company , McDonnell Douglas Corporation
Date of Publication: 1973-12
Pages: 28
DoD Task:
Identifier: This paper is part of a conference proceedings. See AD0785968
Abstract:
Three new matrix methods of structural analysis are presented: (1) Matrix Deformation, (2) Unified Force Deformation, and (3) Static Force. These approaches are related to the matrix force method in that they require the selection of redundants. The distinguishing feature of the matrix deformation method is that deformations of elements in the continuous structure, which are initially designated as "statically determinate," are computed before displacements and redundants. A comparison of the matrix deformation method with the matrix force approach shows that the matrix force method is most efficient when the ratio of number of redundants to number of statically determinate forces is small, while the matrix deformation method is most efficient when this ratio is greater than unity. The order of the matrix to be solved in computing static deformations is the same as the order of the K matrix in the displacement method. Compared to the displacement method , the matrix deformation approach offers the advantage of improved matrix conditioning through proper selection of static deformations. The unified force deformation method provides a theoretical basis from which the redundant force and matrix deformation methods can be derived . The static force method was investigated and found to be inefficient.
Provenance: Bombardier/Aero
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