Transient wave propagation of isotropic plates using a higher-order plate theory |
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| Affiliation: | 1. Department of Engineering, University of Almería, Almería, Spain;2. Automatic Control, Electronics & Robotics Research Group, University of Almería, Spain;1. Department of Applied Mechanics, Indian Institute of Technology Delhi, New Delhi 110016, India;2. Department of Aerospace Engineering, Indian Institute of Science, Bangalore 560012, India;1. State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, China;2. South China Institution of Geotechnical Engineering, School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, China;3. China Institute of Water Resources and Hydropower Research, Beijing 100038, China |
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| Abstract: | Transient wave propagation of isotropic thin plates using a higher-order plate theory is presented in this paper. The aim of this investigation is to assess the applicability of the higher-order plate theory in describing wave behavior of isotropic plates at higher frequencies. Both extensional and flexural waves are considered. A complete discussion of dispersion of isotropic plates is first investigated. All the wave modes and wave behavior for each mode in the low and high-frequency ranges are provided in detail. Using the dispersion relation and integral transforms, exact integral solutions for an isotropic plate subjected to pure impulse load and a number of wave excitations based on the higher-order theory are obtained and asymptotic solutions which highlight the physics of waves are also presented. The axisymmetric three-dimensional analytical solutions of linear wave equations are also presented for comparison. Results show that the higher-order theory can predict the wave behavior closely with exact linear wave solutions at higher frequencies. |
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