On the basis of mathematical elastic theory, the stress functions of multiplecomplex variables are derived in an infinite multiply-connecied plate by using ,nultipleconformal represeniations. The funciions are develop...On the basis of mathematical elastic theory, the stress functions of multiplecomplex variables are derived in an infinite multiply-connecied plate by using ,nultipleconformal represeniations. The funciions are developed in Fou ries series on unit circles,the unknown coefficients of the functions are deiermined by cornparing coefficientmethod, then the stresses in the plaie can be calculaied. A plate conlaining multipleelliptical hofes is discussed, the corresponding FORTRAN77 program is finished. Twoexamples are given, they show that this method is very effective and convenient.展开更多
On the basis of anisotropic mathematical elasticity,using multiple conformal representations, the stress functions of multiple complex variables for an infinite multiply-connected anisotropic plate are de- rived.The f...On the basis of anisotropic mathematical elasticity,using multiple conformal representations, the stress functions of multiple complex variables for an infinite multiply-connected anisotropic plate are de- rived.The functions are developed in Fourier series on unit circles,and the unknown coefficients of the functions are determined by undetermined coefficients method.Then the stresses in the plate can be calcu- lated.A plate containing multiple elliptical holes or cracks is discussed,and the corresponding FORTRAN77 program is developed.Five examples are given.The results show that this method is very effective and convenient.展开更多
文摘On the basis of mathematical elastic theory, the stress functions of multiplecomplex variables are derived in an infinite multiply-connecied plate by using ,nultipleconformal represeniations. The funciions are developed in Fou ries series on unit circles,the unknown coefficients of the functions are deiermined by cornparing coefficientmethod, then the stresses in the plaie can be calculaied. A plate conlaining multipleelliptical hofes is discussed, the corresponding FORTRAN77 program is finished. Twoexamples are given, they show that this method is very effective and convenient.
基金The project supported by Aeronautical Science Foundation of China
文摘On the basis of anisotropic mathematical elasticity,using multiple conformal representations, the stress functions of multiple complex variables for an infinite multiply-connected anisotropic plate are de- rived.The functions are developed in Fourier series on unit circles,and the unknown coefficients of the functions are determined by undetermined coefficients method.Then the stresses in the plate can be calcu- lated.A plate containing multiple elliptical holes or cracks is discussed,and the corresponding FORTRAN77 program is developed.Five examples are given.The results show that this method is very effective and convenient.
