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Computational aspects of sensitivity calculations in linear transient structural analysis. ph.d. thesis
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Greene, William H. |
| Copyright Year | 1989 |
| Description | A study has been performed focusing on the calculation of sensitivities of displacements, velocities, accelerations, and stresses in linear, structural, transient response problems. One significant goal was to develop and evaluate sensitivity calculation techniques suitable for large-order finite element analyses. Accordingly, approximation vectors such as vibration mode shapes are used to reduce the dimensionality of the finite element model. Much of the research focused on the accuracy of both response quantities and sensitivities as a function of number of vectors used. Two types of sensitivity calculation techniques were developed and evaluated. The first type of technique is an overall finite difference method where the analysis is repeated for perturbed designs. The second type of technique is termed semianalytical because it involves direct, analytical differentiation of the equations of motion with finite difference approximation of the coefficient matrices. To be computationally practical in large-order problems, the overall finite difference methods must use the approximation vectors from the original design in the analyses of the perturbed models. |
| File Size | 5270049 |
| Page Count | 209 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19900002011 |
| Archival Resource Key | ark:/13960/t15n1437x |
| Language | English |
| Publisher Date | 1989-08-01 |
| Access Restriction | Open |
| Subject Keyword | Structural Mechanics Stresses Structural Vibration Equations of Motion Coefficients Displacement Finite Element Method Accuracy Computation Finite Difference Theory Acceleration Physics Vibration Mode Mathematical Models Matrices Mathematics Structural Analysis Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Thesis |
