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G.F. Wu*, F.W. Williams# and D. Kennedy#

*Department of Mechanical Engineering, University of Surrey, Guildford, United Kingdom
#Division of Structural Engineering, School of Engineering, University of Wales College of Cardiff, Cardiff, United Kingdom

doi:10.4203/ccp.23.4.5

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G.F. Wu, F.W. Williams, D. Kennedy, "Exact Eigenvalue Calculations for Partially Rotationally Periodic Structures", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Simulation and Interaction Techniques", Civil-Comp Press, Edinburgh, UK, pp 197-205, 1994. doi:10.4203/ccp.23.4.5

Abstract

A computational method for calculating the exact eigenvalues of partially rotationally periodic structures is presented, where the eigenvalues are the natural frequencies of undamped free vibration analysis or the critical load factors of buckling problems. In particular, the method can be used to find efficiently the eigenvalues of the following structural systems: (l) rotationally periodic structures with arbitrary boundary conditions; (2) rotationally periodic substructures which can be connected in any required way and at any number of connecting nodes to an arbitrary parent structure. The stiffness matrix method of structural analysis is used and an existing algorithm is employed to ensure that no eigenvalues are missed. The successful combination of this algorithm with harmonic analysis and substructuring techniques makes the method presented very efficient. Finally, several non-trivial examples are given.

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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: 23 ADVANCES IN SIMULATION AND INTERACTION TECHNIQUES Edited by: M. Papadrakakis and B.H.V. Topping Paper IV.5 Exact Eigenvalue Calculations for Partially Rotationally Periodic Structures G.F. Wu, F.W. Williams# and D. Kennedy# Department of Mechanical Engineering, University of Surrey, Guildford, United Kingdom #Division of Structural Engineering, School of Engineering, University of Wales College of Cardiff, Cardiff, United Kingdom doi:10.4203/ccp.23.4.5 purchase the full-text of this paper Full Bibliographic Reference for this paper G.F. Wu, F.W. Williams, D. Kennedy, "Exact Eigenvalue Calculations for Partially Rotationally Periodic Structures", in M. Papadrakakis, B.H.V. Topping, (Editors), "Advances in Simulation and Interaction Techniques", Civil-Comp Press, Edinburgh, UK, pp 197-205, 1994. doi:10.4203/ccp.23.4.5 Abstract A computational method for calculating the exact eigenvalues of partially rotationally periodic structures is presented, where the eigenvalues are the natural frequencies of undamped free vibration analysis or the critical load factors of buckling problems. In particular, the method can be used to find efficiently the eigenvalues of the following structural systems: (l) rotationally periodic structures with arbitrary boundary conditions; (2) rotationally periodic substructures which can be connected in any required way and at any number of connecting nodes to an arbitrary parent structure. The stiffness matrix method of structural analysis is used and an existing algorithm is employed to ensure that no eigenvalues are missed. The successful combination of this algorithm with harmonic analysis and substructuring techniques makes the method presented very efficient. Finally, several non-trivial examples are given. 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 £60 +P&P)
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