Dynamic Sensitivity Analysis Based on Sherman–Morrison–Woodbury Formula
Authors:
- 1 November 2019
- journal article
- research article
- Published by American Institute of Aeronautics and Astronautics (AIAA) in AIAA Journal
- Vol. 57 (11) , 4992-5001
Abstract
The sensitivity analysis plays a significant role in structural optimization, and repetitive calculations are necessary for the analysis procedure. A reanalysis approach of frequency response funct...Keywords
Funding Information
- National Natural Science Foundation of China (11572086, 11602112)
- Natural Science Foundation of Jiangsu Province (BK20170022)
This publication has 26 references indexed in Scilit:
- A hybrid Fox and Kirsch’s reduced basis method for structural static reanalysisStructural and Multidisciplinary Optimization, 2012
- Sensitivity analysis of frequency response functions of composite sandwich plates containing viscoelastic layersComposite Structures, 2010
- Efficient procedures for repeated calculations of structural sensitivitiesEngineering Optimization, 2007
- Efficient Dynamic Reanalysis of StructuresJournal of Structural Engineering, 2007
- Complex Variable Method for Eigensolution Sensitivity AnalysisAIAA Journal, 2006
- A unified reanalysis approach for structural analysis, design, and optimizationStructural and Multidisciplinary Optimization, 2003
- Multiple-Rank Modifications of a Sparse Cholesky FactorizationSIAM Journal on Matrix Analysis and Applications, 2001
- Using Complex Variables to Estimate Derivatives of Real FunctionsSIAM Review, 1998
- Rates of change of eigenvalues and eigenvectors.AIAA Journal, 1968
- Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given MatrixThe Annals of Mathematical Statistics, 1950