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Keywords: modal truncation error, residual flexibility, nonclassical damping, steady-state response, modal superposition method, harmonic response..

Summary

In this paper, an adaptive modal correction method is presented to calculate the steady-state responses of non-proportionally damped systems by only using lower available modes. It is shown that the steady-state responses can be exactly expressed as a power-series expansion in terms of the available modes and system matrices. However, a series-truncation problem is encountered in engineering applications. To this end, a criterion of determining the number of the power-series terms is presented to process the necessary accuracy, and an adaptive accuracy control is presented to handle the series-truncation problem. It is shown that, the convergence of the adaptive modal correction method is much faster than the mode superposition method and the computational cost of the proposed method is much less than that of the direct frequency response method. Finally, a sandwich damping structure is used to show that, the adaptive modal correction method yields good trade-off between the accuracy and the computational efficiency.

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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 142 An Adaptive Modal Correction Method for the Harmonic Response of Damped Systems L. Li and Y.J. Hu School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, People's Republic of China doi:10.4203/ccp.106.142 purchase the full-text of this paper Full Bibliographic Reference for this paper L. Li, Y.J. Hu, "An Adaptive Modal Correction Method for the Harmonic Response of Damped Systems", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 142, 2014. doi:10.4203/ccp.106.142 Keywords: modal truncation error, residual flexibility, nonclassical damping, steady-state response, modal superposition method, harmonic response.. Summary In this paper, an adaptive modal correction method is presented to calculate the steady-state responses of non-proportionally damped systems by only using lower available modes. It is shown that the steady-state responses can be exactly expressed as a power-series expansion in terms of the available modes and system matrices. However, a series-truncation problem is encountered in engineering applications. To this end, a criterion of determining the number of the power-series terms is presented to process the necessary accuracy, and an adaptive accuracy control is presented to handle the series-truncation problem. It is shown that, the convergence of the adaptive modal correction method is much faster than the mode superposition method and the computational cost of the proposed method is much less than that of the direct frequency response method. Finally, a sandwich damping structure is used to show that, the adaptive modal correction method yields good trade-off between the accuracy and the computational efficiency. 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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