Vibration of Centrally Stiffened Rectangular Plate
Vibration of Centrally Stiffened Rectangular Plate
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DOI：
10.1017/s0368393100075544
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发表时间：
1961-10
期刊：
影响因子：
--
通讯作者：
C. L. Kirk
中科院分区：
文献类型：
--
作者：
C. L. Kirk
在许多情况下，通过在板上附加一个或多个平行于一个边缘的弹性加强筋，或通过将板和加强筋整体铸造或加工，可以大大提高矩形板的自由弯曲振动的固有频率。Hoppmann用半经验方法确定了整体加筋简支方板的固有频率，使用均匀厚度的均匀正交各向异性板的概念，其弹性柔度与加筋板等效。Filippov获得了具有若干等间距加强筋的简支方形板的基频的精确解，并考虑了施加在垂直于板平面方向的加强筋上的点荷载的影响。
Natural frequencies of free flexural vibration of rectangular plates may, in many cases, be considerably increased by attaching to the plate one or more elastic stiffening ribs parallel to one edge, or by casting or machining the plate and stiffeners integrally. Hoppmann has determined by a semi-empirical method the natural frequencies of an integrally stiffened simply-supported square plate, using the concept of a homogeneous orthotropic plate of uniform thickness having elastic compliances which are equivalent to those of the stiffened plate. Filippov has obtained the exact solution for the fundamental frequency of a simply-supported square plate having a number of equally spaced stiffeners and has considered the effect of point loads applied to the stiffeners in a direction perpendicular to the plane of the plate.