Natural Frequency and Dynamic Analyses of Functionally Graded Saturated Porous Beam Resting on Viscoelastic Foundation Based on Higher Order Beam Theory
Publish place: Journal of Solid Mechanics، Vol: 11، Issue: 3
Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_JSMA-11-3_011
تاریخ نمایه سازی: 12 اسفند 1398
Abstract:
In this paper, natural frequencies and dynamic response of thick beams made of saturated porous materials resting on viscoelastic foundation are investigated for the first time. The beam is modeled using higher-order beam theory. Kelvin-voight model is used to model the viscoelastic foundation. Distribution of porosity along the thickness is considered in two different patterns, which are symmetric nonlinear and nonlinear asymmetric distributions. The relationship between stress and strain is based on the Biot constitutive law. Lagrange equations are used to express the motion equations. Finite element and Newark methods are used to solve the governing equations. The effect of different boundary conditions and various parameters such as porosity and Skempton coefficients, slenderness ratio as well as stiffness and damping coefficients of viscoelastic foundation on natural frequency and transient response of beam have been studied. Results show that in a drained condition, beam has smallest fundamental frequency and by increasing the Skempton coefficient, the fundamental frequency of the beam increases.
Keywords:
Saturated porous beam , Functionally graded , Third order beam theory , Dynamic Analysis , Viscoelastic foundation , Biot model
Authors
M Babaei
Department of Mechanical Engineering, Shahid Beheshti University, Tehran, Iran
K Asemi
Department of Mechanical Engineering, Islamic Azad University, Tehran North Branch, Tehran, Iran
P Safarpour
Department of Mechanical Engineering, Shahid Beheshti University, Tehran, Iran
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