In the problems of large deflection of clamped circular plates under uniformly distributed loads, various perturbation parameters relating to load, deflection, slope of deflection, membrane force, etc. are studied. For a general perturbation parameter, the variational principle is used for the solution of such a problem.

Extending the perturbation method to the anisotropic plates is the aim of the paper. The problems of large deflection in the Cylindrical orthotropic thin circular plates are analyzed under some various loads and boundary conditions by the perturbation method.

In this paper problems of large deflection for orthotropic rectangular plate underthe non-uniform transverse load are studied by using "the method of two-variables" and "themethod of mixing perturbation". The uniformly valid asymptotic solution of Nth-order for ε1and Mth-order for ε2 for an orthotropic rectangular plate with two neighboring edges clampedand the orther free are obtained.

The elastic finite-deformation problems be bring into the theoretical system of Lagrangian mechanics, the basic equations of finite-deformation for plane-strain problems andplane-stress problems be builded by the Routh method in classical mechanics,the contradictionin von Kdrmdn equation of finite-deformation large-deflection problems be disussed, and thenew plan be proposed in this paper.

In the problems of large deflection of clamped circular plates under uniformly distributed loads, various perturbation parameters relating to load, deflection, slope of deflection, membrane force, etc, are studied.

The formulation has been validated for problems of large deflection and rotation, and for problems involving initially curved members.

A dual reciprocity boundary element approach for the problems of large deflection of thin elastic plates

Therefore, a `pure' boundary element approach for the problems of large deflection of thin elastic plates can be achieved.

In 1939, the importance of the nonlinear features in the shell buckling problem was first pointed out in a most spectacular manner by Von Karman and Chien, but the mathematical difficulty is so great that progress has been slow after the first attempts. According to our experience, we should face the difficult barrier of solving nonlinear partial differential equations and an effective, simple, accurate method is required. With this in mind, we suggest the modified iteration method. four cases are considered...

In 1939, the importance of the nonlinear features in the shell buckling problem was first pointed out in a most spectacular manner by Von Karman and Chien, but the mathematical difficulty is so great that progress has been slow after the first attempts. According to our experience, we should face the difficult barrier of solving nonlinear partial differential equations and an effective, simple, accurate method is required. With this in mind, we suggest the modified iteration method. four cases are considered to verify it. Here is one of the cases in which nonlinear stabilities of thin circular shallow shells under actions of axisymmetrical uniformly distributed line loads are considered. As special cases, we have also investigated large deflections of plates under the same loads. All these results are presented in such a form that direct application in design is possible. Two stability curves coincide with the experimental results given by D. G.Ashwell and Chien Wei-chang. The results have also been compared with several other writers'.

In 1939, the importance of the nonlinear feature in the shell buckling problem was first pointed out in a most spectacular manner by von Karman and Tsien.but the mathematical difficulty is so great that progress has been slow after the first attempts. According to our experience, we should face the difficult barrier of solving nonlinear differential equations and an effective, simple, accurate method is required. On the other hand, modern rapid developements in technics, such as aeronautical, naval, structure,...

In 1939, the importance of the nonlinear feature in the shell buckling problem was first pointed out in a most spectacular manner by von Karman and Tsien.but the mathematical difficulty is so great that progress has been slow after the first attempts. According to our experience, we should face the difficult barrier of solving nonlinear differential equations and an effective, simple, accurate method is required. On the other hand, modern rapid developements in technics, such as aeronautical, naval, structure, precise instrument manufacturing and automatic control engineerings require keenly these problems to have accurate, reliable theory results for direct design use. With such background, we suggest the modified iteration method and have worked out four cases for the purpose of certaining it. This is the one, in which nonlinear stability of thin elastic circular shallow spherical shell under the action of uniform edge moment are considered. As a special case, we also investigate large deflection of circular plate under the same load.

In the problems of large deflection of clamped circular plates under uniformly distributed loads, various perturbation parameters relating to load, deflection, slope of deflection, membrane force, etc. are studied. For a general perturbation parameter, the variational principle is used for the solution of such a problem. The applicable range of these perturbation parameters are studied in detail. In the case of uniformly loaded plate, perturbation parameter relating to central deflection seems to be the best...

In the problems of large deflection of clamped circular plates under uniformly distributed loads, various perturbation parameters relating to load, deflection, slope of deflection, membrane force, etc. are studied. For a general perturbation parameter, the variational principle is used for the solution of such a problem. The applicable range of these perturbation parameters are studied in detail. In the case of uniformly loaded plate, perturbation parameter relating to central deflection seems to be the best among all others. The method of determination of perturbation solution by means of variational principle can be used to treat a variety of problems, including the large deflection problems under combine loads.