A New Method for Computing Axisymmetric Buckling of Spherical CapsSource: Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 001::page 179Author:G. A. Thurston
DOI: 10.1115/1.3408740Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A modification of Newton’s method is applied to the solution of the nonlinear differential equations for clamped, shallow spherical caps under uniform pressure. The linear form of Newton’s method or quasi-linearization breaks down at limit points of the differential equations. A simplified “quadratic form” is derived in the paper and shown to be satisfactory for continuing the solution past the limit point and into the postbuckling region. Results for the buckling pressures defined by the limit points agree with published results for perfect caps. New results are presented for imperfect caps that check experiment.
keyword(s): Buckling , Newton's method , Nonlinear differential equations , Pressure AND Differential equations ,
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| contributor author | G. A. Thurston | |
| date accessioned | 2017-05-09T00:52:56Z | |
| date available | 2017-05-09T00:52:56Z | |
| date copyright | March, 1971 | |
| date issued | 1971 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25934#179_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/149689 | |
| description abstract | A modification of Newton’s method is applied to the solution of the nonlinear differential equations for clamped, shallow spherical caps under uniform pressure. The linear form of Newton’s method or quasi-linearization breaks down at limit points of the differential equations. A simplified “quadratic form” is derived in the paper and shown to be satisfactory for continuing the solution past the limit point and into the postbuckling region. Results for the buckling pressures defined by the limit points agree with published results for perfect caps. New results are presented for imperfect caps that check experiment. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | A New Method for Computing Axisymmetric Buckling of Spherical Caps | |
| type | Journal Paper | |
| journal volume | 38 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408740 | |
| journal fristpage | 179 | |
| journal lastpage | 184 | |
| identifier eissn | 1528-9036 | |
| keywords | Buckling | |
| keywords | Newton's method | |
| keywords | Nonlinear differential equations | |
| keywords | Pressure AND Differential equations | |
| tree | Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 001 | |
| contenttype | Fulltext |