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Modal parameter calculation for viscoelastic composite structures from reduced order models

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Abstract

The moduli and loss factors of viscoelastic materials are frequency-dependent, which brings difficulty to solve the eigenvalue problems. In this note, an estimation method for resonance frequencies and loss factors of viscoelastic composite structures from reduced order models is presented. The reduced order model could be constructed from calculated or measured forced vibration data, and there is no need to know the specific structural matrices or to solve the eigenvalue problem of the vibration system directly. Thus, the difficulties caused by frequency-dependent behaviors of moduli and loss factors of viscoelastic materials are avoided. Numerical examples are presented to illustrate and validate the method.

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Acknowledgments

The authors gratefully acknowledge the support of the National Natural Science Foundation of China under Grant No. 11772080, the Fundamental Research Funds for the Central Universities (DUT20LAB308) and the Funds of Science and Technology on Underwater Test and Control Laboratory (6142407190106).

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Correspondence to Sheng Li.

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Wei, L., Li, S. Modal parameter calculation for viscoelastic composite structures from reduced order models. Arch Appl Mech 91, 2403–2409 (2021). https://doi.org/10.1007/s00419-021-01936-y

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