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Free Vibration Analysis of Symmetrically Laminated Cylindrical Panels via Extended Kantorovich Method

机译:通过扩展Kantorovich方法自由振动分析对称层压圆柱板

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In this paper, a semi analytical solution is presented to investigate free vibration of moderately thick symmetrically laminated cylindrical panels with clamped boundary conditions. The technique is based on the utilization of the extended Kantorovich method (EKM) to the governing partial differential equations. Following the first order shear deformation theory (FSDT), the governing partial differential equations (PDEs) are obtained in terms of three displacement components and two rotations. Application of the EKM reduces the governing PDEs to dual sets of ordinary differential equations (ODEs). The resulted sets of ODEs are then solved, with infinite power series solution, iteratively using arbitrary functions as initial guesses. It is shown that the presented technique in comparison with other methods, such as Ritz method, provides highly accurate results for natural frequencies and mode shapes of symmetrically laminated cylindrical panels with very fast convergence.
机译:本文提出了一种半分析解决方案,以研究具有夹紧边界条件的中间厚对称层压圆柱板的自由振动。该技术基于利用扩展kantorovich方法(EKM)到控制局部微分方程。在第一阶剪切变形理论(FSDT)之后,根据三个位移分量和两个旋转来获得控制部分微分方程(PDE)。 EKM的应用将控制PDE减少到双组常微分方程(ODES)。然后解决了所产生的杂散,具有无限的电源串联解决方案,使用任意功能作为初始猜测。结果表明,与其他方法(例如RITZ方法)相比,所呈现的技术为具有非常快速的收敛的对称层压圆柱板的固有频率和模式形状提供高度准确的结果。

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