|
| Power function solution of nonlinear stability of thin revolutionary shell with arbitrarily variable thickness |
| Revised:September 22, 2003 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20055124 |
| KeyWord:arbitrarily variable thickness,revolutionary shell,nonlinear stability,method of point collocation |
| HOU Chao-sheng~* WU Fa-pin |
|
| Hits: 1378 |
| Download times: 8 |
| Abstract: |
| By taking power functions as trial functions,the coupled equations of large deflection have successfully been separated twice applying the method of point collocation.The formulas of nonlinear stability of a thin revolutionary shell with arbitrarily variable thickness have been obtained.The support can be elastic.Under action of uniformly or polynomial distributed load,upper and lower critical loads of shells with linearly or polynomial variable thickness have been calculated including conical shells,spherical shells,quartic polynomial shell and cosine shells.Under action of uniformly distributed load,the upper critical loads of spherical shells with exponentially variable thickness have been compared with those obtained by other methods.Excellences of the program written by the method of point collocation are wide convergence region,high precision,universal application and little amount of computing time. |
|
|
|