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K.H. Law+, C.M.M. Carey*, D.R. Mackay** and G.H. Golub#

+Department of Civil Engineering, Stanford University, Terman Engineering Center, Stanford, United States of America
*Center for Research on Parallel Computation, California Institute of Technology, United States of America
**Intel Corporation, Oak Ridge National Laboratory, Oak Ridge, United States of America
#Department of Computer Science, Stanford University, Stanford, United States of America

doi:10.4203/ccp.26.7.1

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K.H. Law, C.M.M. Carey, D.R. Mackay, G.H. Golub, "Numerical Methods for Dynamic Re-Analysis of Structures with Localized Modifications", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 207-214, 1994. doi:10.4203/ccp.26.7.1

Abstract

Matrix eigenvalue problems play a significant role in the dynamic analysis of structures. The natural frequencies and the modes of a free vibrating system are intimately related to the eigenvalues and the eigenvectors of the generalized system of characteristic equations corresponding to that vibrating system. A frequently encountered problem in structural dynamics is how to take into account, in analysis and design, changes introduced after the structural dynamic analysis has been completed and the natural frequencies and modes have been computed. Even though the structure is changed slightly, for example varying the size of a few structural members or altering the mass of the system during an iterative design process, a completely new analysis is often necessary. This paper briefly reviews the approximate methods for modified eigenvalue problems and introduces a new method based on the block Lanczos procedure for multiple rank modification problems, calculating a few selected eigenvalues of a modified system.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 26 ADVANCES IN COMPUTATIONAL MECHANICS Edited by: M. Papadrakakis and B.H.V. Topping Paper VII.1 Numerical Methods for Dynamic Re-Analysis of Structures with Localized Modifications K.H. Law+, C.M.M. Carey, D.R. Mackay* and G.H. Golub# +Department of Civil Engineering, Stanford University, Terman Engineering Center, Stanford, United States of America Center for Research on Parallel Computation, California Institute of Technology, United States of America *Intel Corporation, Oak Ridge National Laboratory, Oak Ridge, United States of America #Department of Computer Science, Stanford University, Stanford, United States of America doi:10.4203/ccp.26.7.1 purchase the full-text of this paper Full Bibliographic Reference for this paper K.H. Law, C.M.M. Carey, D.R. Mackay, G.H. Golub, "Numerical Methods for Dynamic Re-Analysis of Structures with Localized Modifications", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Computational Mechanics", Civil-Comp Press, Edinburgh, UK, pp 207-214, 1994. doi:10.4203/ccp.26.7.1 Abstract Matrix eigenvalue problems play a significant role in the dynamic analysis of structures. The natural frequencies and the modes of a free vibrating system are intimately related to the eigenvalues and the eigenvectors of the generalized system of characteristic equations corresponding to that vibrating system. A frequently encountered problem in structural dynamics is how to take into account, in analysis and design, changes introduced after the structural dynamic analysis has been completed and the natural frequencies and modes have been computed. Even though the structure is changed slightly, for example varying the size of a few structural members or altering the mass of the system during an iterative design process, a completely new analysis is often necessary. This paper briefly reviews the approximate methods for modified eigenvalue problems and introduces a new method based on the block Lanczos procedure for multiple rank modification problems, calculating a few selected eigenvalues of a modified system. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £70 +P&P)
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