Implementation of structural response sensitivity calculations in a large-scale finite-element analysis system
G. L. Giles,J. L. Rogers +1 more
- 01 Jan 1982
TL;DR: In this article, a general-purpose finite-element analysis system (SPAR) is described, which includes a generalized method for specifying element cross-sectional dimensions as design variables that can be used in analytically calculating derivatives of output quantities from static stress, vibration, and buckling analyses for both membrane and bending elements.
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Abstract: The methodology used to implement structural sensitivity calculations into a major, general-purpose finite-element analysis system (SPAR) is described. This implementation includes a generalized method for specifying element cross-sectional dimensions as design variables that can be used in analytically calculating derivatives of output quantities from static stress, vibration, and buckling analyses for both membrane and bending elements. Limited sample results for static displacements and stresses are presented to indicate the advantages of analytically calculating response derivatives compared to finite difference methods. Continuing developments to implement these procedures into an enhanced version of SPAR are also discussed.
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Figures
Table 4 Enhancements in EAL which provide improvements in structural response derivative calculations 
Table 3 Description of SPAR input sequence to fom 3[Kl/3vi end a[Hl/avi tOI" the beam elements design1lted in TII!>le ? 
Table 2 SPAR input sequence to form a[KllaPj for beam elements using a unit moment of inertia 
Fig. 8 Implementation of analytical structural response derivatives in a structural
Citations
Sensitivity Analysis of Discrete Structural Systems
TL;DR: In this paper, a survey of sensitivity derivatives for discrete structural systems is presented, primarily focusing on publications developed in nonstructural fields such as electronics, control, and physical chemistry which are directly applicable to structural problems.
513
Recent developments in structural sensitivity analysis
TL;DR: In this article, the authors reviewed recent developments in two major areas of structural sensitivity analysis: sensitivity of static and transient response; and sensitivity of vibration and buckling eigenproblems.
A shape optimization approach based on natural design variables and shape functions
TL;DR: In this paper, a set of natural design variables are chosen as the design variables defining the shape of a structure, and the displacements produced by these fictitious loads, or natural shape functions, are added onto the initial mesh to obtain the new shape.
199
Comparison of several methods for calculating vibration mode shape derivatives
TL;DR: In this article, four methods for the calculation of derivatives of vibration mode shapes (eigenvectors) with respect to design parameters are described and compared on the basis of central processor (CP) seconds required to obtain the derivatives, and two of the methods are also evaluated for the rapidity of convergence.
110
References
Simplified calculation of eigenvector derivatives
TL;DR: A simplified procedure is presented for the determination of the derivatives of eigenvectors of nth order algebraic eigensystems, applicable to symmetric or nonsymmetric systems, and requires knowledge of only one eigenvalue and its associated right and left eigenavectors.
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Methods of Design Sensitivity Analysis in Structural Optimization
Jasbir S. Arora,Edward J. Haug +1 more
TL;DR: Three fundamentally different approaches to design sensitivity analysis are presented and it is indicated that the state space and design space methods are more general than the virtual load method.
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A New Structural Analysis/Synthesis Capability-ACCESS 1
Lucien A. Schmit,H. Miura +1 more
TL;DR: The creation of an efficient automated capability for minimum weight design of structures is reported, and the efficiency of the ACCESS 1 program is demonstrated by giving results for several example problems.
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On the Accuracy of the Taylor Approximation for Structure Resizing
TL;DR: In this paper, the probabilities of occurrence of x(t) or x 1 (t)H-x 2(f) and x 2(r) act concurrently 100% of the time.
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