欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
运用Fourier分析方法，建立了对边简支的矩形中厚板弯曲问题的完备的辛本征展开．借助于Mathematiea软件的帮助，得到了来源于矩形中厚板问题的Hamilton算子的本征函数．接着证明了本征函数系的完备性，这为使用分离变量法求解相应问题提供了理论保证；进而运用完备性定理，得到了问题的解析解；一个数值算例验证了结果的正确性．
英文摘要：
A complete symplectic eigenfunction expansion for rectangular moderately thick plate with two simply-supported opposite sides is proposed by using Fourier analysis method. The eigenfunctions of the Hamiltonian operator arising from considered problem are solved. The completeness of the eigenfunctions is then proved,providing the theoretical guarantee of using separation of variables to solve the problems. The analytic solution is obtained with the proved expansion theorem,and a numerical example shows the correctness of the result.
同期刊论文项目
同项目期刊论文
Symplectic eigenfunction expansion method and its application to two-dimensional elasticity problems
Eigenfunction Expansion Method of Upper Triangular Operator Matrix and Application to Two-Dimensiona
Completeness of eigenfunction systems for the product of two symmetric operator matrices and its app
Completeness of the system of eigenvectors of off-diagonal operator matrices and its applications in
期刊信息
位置：