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Y. Mochida and S. Ilanko

Department of Engineering, University of Waikato, Hamilton, New Zealand

doi:10.4203/ccp.106.29

Y. Mochida, S. Ilanko, "Free Vibration Analysis of a Plate with a Hole using a Negative Plate", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 29, 2014. doi:10.4203/ccp.106.29

Keywords: negative structure, Rayleigh-Ritz method, penalty method, square plates with holes, natural frequencies..

Summary

This paper presents the results of a study on calculating the natural frequencies and modes of a square plate with a square hole using the Rayleigh-Ritz Method by embedding a negative structure into a larger positive structure. The "negative structure" is a structure which has negative values for both the stiffness and mass terms and has the same natural frequencies and modes as those of its positive counterpart. The embedding constraints are enforced using the penalty 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 29 Free Vibration Analysis of a Plate with a Hole using a Negative Plate Y. Mochida and S. Ilanko Department of Engineering, University of Waikato, Hamilton, New Zealand doi:10.4203/ccp.106.29 purchase the full-text of this paper Full Bibliographic Reference for this paper Y. Mochida, S. Ilanko, "Free Vibration Analysis of a Plate with a Hole using a Negative Plate", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 29, 2014. doi:10.4203/ccp.106.29 Keywords: negative structure, Rayleigh-Ritz method, penalty method, square plates with holes, natural frequencies.. Summary This paper presents the results of a study on calculating the natural frequencies and modes of a square plate with a square hole using the Rayleigh-Ritz Method by embedding a negative structure into a larger positive structure. The "negative structure" is a structure which has negative values for both the stiffness and mass terms and has the same natural frequencies and modes as those of its positive counterpart. The embedding constraints are enforced using the penalty 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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