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Keywords: Rayleigh-Ritz method, bipenalty parameter method, three dimensional body..

Summary

In this paper the Rayleigh-Ritz method (RRM) together with the bipenalty parameter method (BPM) are used to compute the natural frequencies and modes of vibration of three dimensional bodies. The RRM is a very well-known procedure to compute the natural frequencies and modes of vibration of structural elements, while the BPM is a procedure that consists of applying artificial stiffness (springs) and artificial mass (mass and moments of inertia) to model constraints. Furthermore, when using the BPM it is possible to control the range of the values of the eigenvalues if the ratio of the artificial spring and artificial mass is selected carefully. This work investigates potential problems that can arise resulting from ill-conditioning of the system. Results obtained using the present approach are compared against published results. The novelty of this work is the study of the feasibility of applying penalty and bi-penalty parameters in the RRM when solving for natural frequencies and modes of vibration of three dimensional bodies which involves a large number of degrees of freedom, as well as the study of the convergence of the method.

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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: 106 PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: Paper 31 Natural Frequencies and Modes of Vibration of Three-Dimensional Bodies L.E. Monterrubio¹ and S. Ilanko² ¹Engineering Department, Robert Morris University, Moon Township, United States of America ²School of Engineering, The University of Waikato, Hamilton, New Zealand doi:10.4203/ccp.106.31 purchase the full-text of this paper Full Bibliographic Reference for this paper L.E. Monterrubio, S. Ilanko, "Natural Frequencies and Modes of Vibration of Three-Dimensional Bodies", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 31, 2014. doi:10.4203/ccp.106.31 Keywords: Rayleigh-Ritz method, bipenalty parameter method, three dimensional body.. Summary In this paper the Rayleigh-Ritz method (RRM) together with the bipenalty parameter method (BPM) are used to compute the natural frequencies and modes of vibration of three dimensional bodies. The RRM is a very well-known procedure to compute the natural frequencies and modes of vibration of structural elements, while the BPM is a procedure that consists of applying artificial stiffness (springs) and artificial mass (mass and moments of inertia) to model constraints. Furthermore, when using the BPM it is possible to control the range of the values of the eigenvalues if the ratio of the artificial spring and artificial mass is selected carefully. This work investigates potential problems that can arise resulting from ill-conditioning of the system. Results obtained using the present approach are compared against published results. The novelty of this work is the study of the feasibility of applying penalty and bi-penalty parameters in the RRM when solving for natural frequencies and modes of vibration of three dimensional bodies which involves a large number of degrees of freedom, as well as the study of the convergence of the method. 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 £65 +P&P)
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