The Application of Newton’s Method to the Problem of Elastic StabilitySource: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 004::page 1060Author:E. Riks
DOI: 10.1115/1.3422829Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The numerical solution of problems of elastic stability through the use of the iteration method of Newton is examined. It is found that if the equations of equilibrium are completed by a simple auxiliary equation, problems governed by a snapping condition can, in principle, always be calculated as long as the problem at hand is properly formulated. The effectiveness of the proposed procedure is demonstrated by means of an elementary example.
keyword(s): Stability , Newton's method , Equations AND Equilibrium (Physics) ,
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| contributor author | E. Riks | |
| date accessioned | 2017-05-09T01:14:11Z | |
| date available | 2017-05-09T01:14:11Z | |
| date copyright | December, 1972 | |
| date issued | 1972 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25969#1060_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/156789 | |
| description abstract | The numerical solution of problems of elastic stability through the use of the iteration method of Newton is examined. It is found that if the equations of equilibrium are completed by a simple auxiliary equation, problems governed by a snapping condition can, in principle, always be calculated as long as the problem at hand is properly formulated. The effectiveness of the proposed procedure is demonstrated by means of an elementary example. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Application of Newton’s Method to the Problem of Elastic Stability | |
| type | Journal Paper | |
| journal volume | 39 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3422829 | |
| journal fristpage | 1060 | |
| journal lastpage | 1065 | |
| identifier eissn | 1528-9036 | |
| keywords | Stability | |
| keywords | Newton's method | |
| keywords | Equations AND Equilibrium (Physics) | |
| tree | Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 004 | |
| contenttype | Fulltext |