Damped vibration of a graphene sheet using a higher-order nonlocal strain-gradient Kirchhoff plate model |
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Authors: | Davood Shahsavari Behrouz Karami Li Li |
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Institution: | 1. Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran;2. State Key Lab of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China |
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Abstract: | A higher-order nonlocal strain-gradient model is presented for the damped vibration analysis of single-layer graphene sheets (SLGSs) in hygrothermal environment. Based on Kirchhoff plate theory in conjunction with a higher-order (bi-Helmholtz) nonlocal strain gradient theory, the equations of motion are obtained using Hamilton's principle. The higher-order nonlocal strain gradient theory has lower- and higher-order nonlocal parameters and a material characteristic parameter. The presented model can reasonably interpret the softening effects of the SLGS, and indicates a reasonably good match with the experimental flexural frequencies. Finally, the roles of viscous and structural damping coefficients, small-scale parameters, hygrothermal environment and elastic foundation on the vibrational responses of SLGSs are studied in detail. |
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Keywords: | Damped vibration Bi-Helmholtz nonlocal strain gradient theory Environmental effects Graphene Visco-Pasternak foundation |
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