Abstract
Recently for acoustical and spatial applications such as antennas or very light panels the influence on the dynamic characteristics of a structure surrounded by a fluid of low density has been studied. Thus, it has been shown that the air effect for the Intelsat VI C–B transmit reflector with a diameter of 3.2 m and weighting only 34.7 kg decreases the first modal frequency by 20 % with respect to the value in vacuum. It is important then, in the development of these light and large structures to have a method that estimates the effect that the surrounding fluid will have on the natural frequencies of the structure. In this way it can be avoided to test the structure in a vacuum chamber which for a large antenna or panel can be difficult and expensive. A method for the determination of the effect of the surrounding fluid on the dynamic characteristics of a circular plate has been developed. After the modes of the plate in vacuum are calculated in an analytical form, the added mass matrix due to the fluid loading is determined by a boundary element method (BEM). The BEM used is of circular rings so the number of elements to obtain an accurate result is very low. An iteration procedure for the computation of the natural frequencies of the couple fluid-structure system is presented for the case of the compressibility effect of air. Comparisons of the present method with various experimental data and other theories show the efficiency and accuracy of the method for any support condition of the plate.
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Gascón-Pérez, M., García-Fogeda, P. (2015). Effects of the Surrounding Fluid on the Dynamic Characteristics of Circular Plates. In: Shaari, K., Awang, M. (eds) Engineering Applications of Computational Fluid Dynamics. Advanced Structured Materials, vol 44. Springer, Cham. https://doi.org/10.1007/978-3-319-02836-1_5
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DOI: https://doi.org/10.1007/978-3-319-02836-1_5
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