B-Spline Function Method For The Nonlinear Bending Of Circular Sandwich Plate Subjected To Axisymmetrical Distributed Load

In the dissertation, the nonlinear bending of circular sandwich plates based on Reissner theory is analyzedThe method of Point Collocation are used in the calculation,with the B-spline function taken as the trial function. The Newton-iterative method is used to solve the nonlinear differential equation of circular sandwich plate. Four boundary conditions such as rigidly clamped edge, clamped but free to slip edge, simply hinged edge and simply supported edge, are considered.The nonlinear bending of circular sandwich plates subjected to axisymmetric uniformly distributed load are studied firstly. Some examples are calculated and by comparing the results with those obtained by the power series method, the validity and some excellences of the B-spline function method, such as wider convergent range, higher precision and less amount of computing time, are demonstrated. In addition, The nonlinear bending is also analyzed of circular sandwich plates subjected to uniformly distributed moment and the combination of axisymmetric uniformly distributed load and uniformly distributed moment. The convergent results are obtained, which are valid and have academic and practical value.All of above contents have been programmed and tested on the computer. The program is simple in use and has good currency.