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1 2024

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Investigation of the effect of viscosity and density on the wave propagation of a nonlocal porous beam submerged in fluid using Bernstein polynomials

Prabhakaran Thangamuni, Selvamani Rajendran, Mahaveersreejayan Madasamy, Wang Lifeng

Engineering Transactions

2024

Vol. 72, iss. 3

365--385

This study investigates the effect of viscosity and density on the free vibration characteristics of a homogeneous porous Euler nanobeam submerged in fluid, incorporating the governing equations from Eringen’s nonlocal elasticity theory. To enhance computational efficiency in our analysis, we employ the Rayleigh-Ritz method, utilizing computationally efficient Bernstein polynomials as shape functions. Furthermore, we explore a range of classical boundary conditions tailored to address the specific problem at hand. In order to validate our findings, we conduct a comparative analysis against existing literature, thereby underscoring the effectiveness and robustness of our proposed methodology. Our research also places a significant emphasis on elucidating the impact of nonlocal parameters, non-dimensional amplitude, thickness, density, viscosity and porosity on non-dimensional frequency across various boundary conditions, including simply-supported (S-S), clamped-simply supported (C-S), and clampedclamped (C-C) configurations.