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VIBRATION CHARACTERISTICS OF A STIFFENED CONICAL SHELL

机译:加筋圆锥壳的振动特性

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This paper is concerned with the free vibrations of a stiffened conical thin shell within the context of Donnell-Mushtari theory. A truncated cone with simply supported ends is reinforced by relatively closely spaced elastic stringers and/or rings. The tapered stringers are used to obtain an efficient stiffening. Change in the stringer spacing in the meridional direction is taken into account in the formulation. The stiffening elements are ''smeared out'' along the conical shell to yield a single equivalent orthotropic shell. The resulting orthotropic shell has a kind of inhomogeneity due to the tapered stringers. The equations of motion for the free vibrations of the stiffened conical shell are derived by the use of Hamilton's principle. The differential equations of the stiffened truncated conical shell, together with the boundary conditions, are solved by the use of the collocation method. Solutions are presented to show the influence of geometrical parameters and material properties on the vibration characteristics. The numerical results are compared with certain earlier results. (C) 1996 Academic Press Limited [References: 24]
机译:本文在Donnell-Mushtari理论的背景下研究了加劲的圆锥形薄壳的自由振动。带有简单支撑端的截头圆锥体通过相对紧密间隔的弹性纵梁和/或环得到加强。锥形桁条用于获得有效的加固。在配方中考虑了子午线方向上桁条间距的变化。沿圆锥形壳体“涂抹”加强元件,以产生单个等效的正交各向异性壳体。由于锥形桁条,所得的正交各向异性壳具有一种不均匀性。利用汉密尔顿原理推导了加劲圆锥壳自由振动的运动方程。刚性截顶圆锥壳的微分方程,以及边界条件,可通过搭配方法求解。提出了解决方案以显示几何参数和材料特性对振动特性的影响。将数值结果与某些早期结果进行比较。 (C)1996 Academic Press Limited [参考号:24]

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