Effects of rotational elastic edge supports on buckling and free vibration of thin rectangular plates.
|Title:||Effects of rotational elastic edge supports on buckling and free vibration of thin rectangular plates.|
|Authors:||Koduru, Hari Kishan.|
|Abstract:||Rectangular plates are found in most structures of modern industry. Their two-dimensional structural action results in lighter structures and therefore offers numerous economic advantages. Recently interest in rectangular plates increased due to rapid growth in electronic technology where electronic circuit boards in the form of thin rectangular plates are employed. It is well known that while a clamped boundary condition along the edge of thin rectangular plates is easy to formulate mathematically, it is difficult to achieve, even under laboratory conditions. This is due in part to the fact that some rotational elasticity is likely to be found in such supports, whether it is introduced intentionally or inadvertently. In this study, the effects of such elasticity on the free vibration and buckling of plates subjected to uniform in-plane loading are examined. Loading is applied in a direction perpendicular to a pair of opposite edges where lateral displacement is forbidden and edge rotation is opposed by a moment proportional to the degree of edge rotation. The edges running parallel to the in-plane loading are free. Highly accurate solutions are obtained by the method of superposition. Two plates are analysed; one with rotational elastic support at one edge, the other edge being simply supported and, a second plate with rotational elastic support at the pair of opposite edges. Free vibration eigenvalues and buckling loads are computed for various plate geometries, dimensionless rotational stiffnesses with various in-plane loads. It is observed that in limiting cases, eigenvalues and buckling loads agree well in comparison with those of classical cases such as pinned and clamped boundary conditions. It is also found that the edges can be given any desired value of the rotational stiffness.|
|Collection||Thèses, 1910 - 2010 // Theses, 1910 - 2010|