Thin-Walled Structures ( IF 5.7 ) Pub Date : 2021-05-06 , DOI: 10.1016/j.tws.2021.107852 Masoud Babaei , Kamran Asemi , Faraz Kiarasi
In the current article, dynamic behavior of functionally graded saturated porous rotating thick truncated cone is investigated for the first time. It is assumed that porosity distributions along the thickness are (1) symmetric nonlinear, (2) nonlinear asymmetric and (3) uniform distributions. The Biot poroelastic law instead of Hooke’s law is used to model the constitutive equations. Also, 2D axisymmetric theory of elasticity instead of simple shell theories is used for the governing motion equations. Graded finite element and Newmark methods have been used to solve the governing motion equations. First, natural frequencies of stationary functionally graded saturated porous cone are obtained, and then by considering the effect of centrifugal force and spin softening effect, dynamic response of porous cone in an undrained condition for different variables such as porosity and Skempton coefficients, rotational velocity, semi vertex angle of the cone and different distribution of porosity has been investigated. Obtained results denote that by increasing Skempton coefficient, natural frequencies are increased, and natural frequencies of PUD distribution are lower than other distributions. Also, rotational velocity and semi-vertex angle have significant effect on the displacement and stress field.
中文翻译:
饱和多孔材料制成的功能梯度旋转厚圆锥台的动力学分析
在本文中,首次研究了功能梯度饱和多孔旋转厚截锥的动力学行为。假设沿厚度的孔隙率分布为(1)对称非线性,(2)非线性非对称和(3)均匀分布。用比奥孔隙弹性定律代替胡克定律对本构方程建模。同样,二维轴对称弹性理论代替简单的壳理论被用于控制运动方程。已使用分级有限元和Newmark方法求解控制运动方程。首先,获得固定功能梯度饱和多孔锥的固有频率,然后考虑离心力和自旋软化效果的影响,研究了多孔锥在不排水条件下对孔隙率和斯肯普顿系数,旋转速度,锥的半顶角和孔隙率不同分布等不同变量的动力响应。所得结果表明,通过增加Skempton系数,自然频率增加,PUD分布的自然频率低于其他分布。同样,旋转速度和半顶角对位移和应力场也有重要影响。并且PUD分布的固有频率低于其他分布。同样,旋转速度和半顶角对位移和应力场也有重要影响。并且PUD分布的固有频率低于其他分布。同样,旋转速度和半顶角对位移和应力场也有重要影响。