Abstract
Vibration analysis of pre-stressed membrane is studied using element free Galerkin method (EFGM). The discrete system of equations is derived from the governing equations of thin plates with in-plane loads, by incorporating the moving least square interpolations into the variational weak form. Essential boundary conditions are applied using scaled transformation method. A bi-axially pre-stressed homogeneous membrane is analyzed using EFGM and results obtained are compared with that obtained from a commercial finite element package and also with the analytical solutions. A convergence study of the frequency obtained using EFGM is compared with that obtained using different element types in finite element method (FEM), for different modes. It is observed that, both FEM and EFGM show satisfactory results in lower modes of vibration, and in higher modes EFGM gives better results compared to FEM.
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Unnikrishnan, K.R., Praveen Krishna, I.R., Arun, C.O. (2020). Free Vibration Analysis of Pre-stressed Membrane Using Element Free Galerkin Method. In: Satapathy, S., Raju, K., Molugaram, K., Krishnaiah, A., Tsihrintzis, G. (eds) International Conference on Emerging Trends in Engineering (ICETE). Learning and Analytics in Intelligent Systems, vol 2. Springer, Cham. https://doi.org/10.1007/978-3-030-24314-2_65
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DOI: https://doi.org/10.1007/978-3-030-24314-2_65
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