| Abstract: | 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.
This paper is completed under the guidance of Prof. Chien Wei-zang. |
