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An Efficient Modal Reanalysis Method for Structural Dynamic Modification Using Residual Flexibility Without Additional Degrees of Freedom

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Abstract:

Modal truncation errors in structural dynamic analysis arise when only a limited number of modes are retained in the modal basis, leading to significant inaccuracies in eigenfrequency predictions and mode shape estimations. This study presents a novel modal reanalysis technique that incorporates residual flexibility terms to account for the contribution of neglected higher-order modes, thereby reducing truncation errors without increasing the system's degrees of freedom in structural dynamic modification problems. The study presents an efficient modal reanalysis technique that is less expensive and more accurate, which can be used to evaluate the natural frequencies and mode shapes of a modified structure. The uniqueness of this technique lies in the structure of the formula, which emphasizes the contribution of unknown modes. This contribution can either be calculated for a finite element model or identified through an experimental model test. Numerical tests are provided to demonstrate the effectiveness of this method. High-quality results can still be obtained even if the modifications made to the structure are significant.

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Periodical:

Construction Technologies and Architecture (Volume 21)

Pages:

105-118

DOI:

https://doi.org/10.4028/p-QUR4lZ

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Online since:

January 2026

Authors:

Omar Dadah*, Aalil Issam, Hammou Ait Rimouch, Monaim Hakim

Keywords:

Finite Element Method, Modal Reanalysis, Polynomial Eigenvalue Problem, Structural Modification, Truncated Modal Basis

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© 2026 Trans Tech Publications Ltd. All Rights Reserved

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* - Corresponding Author

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