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Steel and Composite Structures Volume 47, Number 6, June25 2023 , pages 743-757 DOI: https://doi.org/10.12989/scs.2023.47.6.743 |
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Dynamic analysis of sandwich plate with viscoelastic core based on an improved method for identification of material parameters in GHM viscoelastic model |
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Mojtaba Safari, Hasan Biglari and Mohsen Motezaker
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| Abstract | ||
| In this paper, the dynamic response of a simply-supported composite sandwich plate with a viscoelastic core based on the Golla-Hughes-McTavish (GHM) viscoelastic model is investigated analytically. The formulation is developed using the three-layered sandwich panel theory. Hamilton's principle has been employed to derive the equations of motion. Since classical models, like kelvin-voigt and Maxwell models, cannot express a comprehensive description of the dynamic behavior of viscoelastic material, the GHM method is used to model the viscoelastic core of the plate in this research. The main advantage of the GHM model in comparison with classical models is the consideration of the frequency-dependent characteristic of viscoelastic material. Identification of the material parameters of GHM mini-oscillator terms is an essential procedure in applying the GHM model. In this study, the focus of viscoelastic modeling is on the development of GHM parameters identification. For this purpose, a new method is proposed to find these constants which express frequency-dependent behavior characterization of viscoelastic material. Natural frequencies and loss factors of the sandwich panel based on ESL and threelayered theories in different geometrics are described at 30°C and 90°C; also, the comparisons show that obtained natural frequencies are grossly overestimated by ESL theory. The argumentations of differences in natural frequencies are also illustrated in detail. The obtained results show that the GHM model presents a more accurate description of the plate's dynamic response by considering the frequency dependency behavior of the viscoelastic core. | ||
| Key Words | ||
| curve fitting; GHM mini-oscillator terms; GHM viscoelastic model; Kelvin-Voigt model; sandwich panel | ||
| Address | ||
| Mojtaba Safari:School of Packaging, College of Agriculture and Natural Resources, Michigan State University, East Lansing, MI, 48824, USA Hasan Biglari:Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran Mohsen Motezaker:Department of Mechanical and Aerospace Engineering, University of Virginia, Charlottesville, VA, 22904 USA | ||