FORMAT II - Second Version of Fortran Matrix Abstraction Technique

FORMAT II - Second Version of Fortran Matrix Abstraction Technique

Author: R. C. Morris

Publisher:

Published: 1967

Total Pages: 246

ISBN-13:

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A detailed description of the analytical approach, development, and use of a computer program which generates the matrices necessary for analysis of general aircraft structures for internal loads and deflections by the matrix force method is presented. The Force Method Matrix Generator program is designed for use in conjunction with the FORMAT II system as a user-coded subroutine and, as such, will accommodate matrices of the order 2000 X 2000. Up to six degress of freedom may be considered at each joint in the structure which is idealized as an assembly of bar elements capable of resisting axial, bending and torsional forces and rectangular or near-rectangular panel elements resisting shearing forces and which is supported by discrete translational and rotational forces acting at the joints. Applied loading may be any combination of mechanical loads at the joints, thermal loads resulting from bar element elongation due to temperature change, and intial joint displacements. The report includes a detailed description of the computer program operation and coding, and a review of the matrix equations which employ the generated matrices and which are subsequently processed and solved by the FORMAT II system to give internal loads and deflections.


Force Method Optimization

Force Method Optimization

Author: R. A. Gellatly

Publisher:

Published: 1980

Total Pages: 102

ISBN-13:

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To overcome problems arising from the rigorous representation of stress constraints in structural optimization, the use of the force method is demonstrated. The force method of finite element analysis is used to transform a stress-constrained redundant structure into a stress and displacement constrained determinate structure for the purposes of optimization. The resulting problem is non-linear, but the use of a linear programming stage is effective in providing a rapid convergence on the optimum design in many cases. Problems which hitherto required many iterations to converge are now solvable in only one or two steps. The rate of constraint numbers versus numbers of variables is investigated analytically using a 22-bar truss problem as an example. The vital key in optimization technology is identified as the identification of active constraints. The incorporation of displacement constraints into the optimization program is also presented. Examples of problems solved by this approach are included. Discussion of difficulties encountered in the development work also provides indicators for future areas of research. (Author).


MAGIC

MAGIC

Author: Stephen Jordan

Publisher:

Published: 1969

Total Pages: 368

ISBN-13:

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An automated general purpose system for analysis is presented. This system, identified by the acronym 'MAGIC' for 'Matrix Analysis via Generative and Interpretive Computations', provides a flexible framework for implementation of the finite element analysis technology. The subject document, Volume II, contains instructions for the preparation of input data and interpretation of output data with examples drawn from the applications presented in Volume I.


A Compilation of Computer Programs in Flight Vehicle Technology

A Compilation of Computer Programs in Flight Vehicle Technology

Author: Ambrose B. Nutt

Publisher:

Published: 1968

Total Pages: 164

ISBN-13:

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A compilation of computer programs useful in the design of flight vehicles. Technical domains covered include the following: Structures; Aerodynamics; Vehicle dynamics; Flight control; Environmental control; Crew escape and retardation; and Landing gear subsystems. All programs were devised in-house in the Air Force Flight Dynamics Laboratory or were prepared for them under R and D contracts. (Author).


Theory of Matrix Structural Analysis

Theory of Matrix Structural Analysis

Author: J. S. Przemieniecki

Publisher: Courier Corporation

Published: 1985-01-01

Total Pages: 502

ISBN-13: 9780486649481

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This classic text begins with an overview of matrix methods and their application to the structural design of modern aircraft and aerospace vehicles. Subsequent chapters cover basic equations of elasticity, energy theorems, structural idealization, a comparison of force and displacement methods, analysis of substructures, structural synthesis, nonlinear structural analysis, and other topics. 1968 edition.