加权残值法求解矩形薄板大挠度问题

Solving a Problem of Large Deflection of Rectangular Thin Plate by Weighted Residual Method

采用加权残值法探讨大挠度力学问题时,用5次B样条作为未知函数的试函数,使其直接满足边界条件,这种方法与传统的有限元法相比,具有未知量少,自由度少,连续性强,边界条件容易满足等优点.

Using the concept of the of weighted residual method and choosing the fifth B-spline as a trial function to meet the needs of boundary conditions,the mechanical problem of large deflection of a rectangular thin plate is discussed. This method, compared with the traditional method of finite element, has the advantages of less unknown quantities,less degrees of freedom and high continuity and easy to satisfy boundary conditions as well.