【摘要】 在弹性地基上的自由矩形板的弯曲,在弹性薄板理论中也是个难题。本文以叠加法提供一个精确解。它满足微分方程,自由边界的条件以及自由角点条件。这样将导致一系列无穷联立方程。所解的问题为在板的中点作用一集中力这问题。我们并以地基反力应与这集中力相平衡。校核所作的计算是否正确。更多还原

【Abstract】 In the theory of elastic thin plates, the bending of a free rectangular plate on the elastic foundation is also a difficult problem. This paper provides a rigorous solution by the method of superposition. It satisfies the differential equation, the boundary conditions of the edges and the free corner conditions. Thus we are led to a system of infinite simultaneous equations. The problem solved is for a plate with a concentrated load at its center. Adoptation is made of the equilibrium of the reactive forces from the foundation and the concentrated load to see if our calculation is correct or not.更多还原