Variation Principles and Bounds for the Approximate Analysis of Plane Membranes Under Lateral PressureSource: Journal of Applied Mechanics:;1983:;volume( 050 ):;issue: 4a::page 743Author:B. Storåkers
DOI: 10.1115/1.3167140Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A first-order consistent approximation for the analysis of small deflections of membranes is given several variational formulations. Lower and upper bounds are derived for the volume enclosed by deformed and undeformed membranes. The power of the principles is discussed and their application is illustrated by some cases of practical interest. Explicit analytical results are given for linear elastic membranes having circular, elliptic, and rectangular contours.
keyword(s): Pressure , Membranes , Approximation AND Deflection ,
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| contributor author | B. Storåkers | |
| date accessioned | 2017-05-08T23:14:33Z | |
| date available | 2017-05-08T23:14:33Z | |
| date copyright | December, 1983 | |
| date issued | 1983 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26226#743_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/96539 | |
| description abstract | A first-order consistent approximation for the analysis of small deflections of membranes is given several variational formulations. Lower and upper bounds are derived for the volume enclosed by deformed and undeformed membranes. The power of the principles is discussed and their application is illustrated by some cases of practical interest. Explicit analytical results are given for linear elastic membranes having circular, elliptic, and rectangular contours. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Variation Principles and Bounds for the Approximate Analysis of Plane Membranes Under Lateral Pressure | |
| type | Journal Paper | |
| journal volume | 50 | |
| journal issue | 4a | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3167140 | |
| journal fristpage | 743 | |
| journal lastpage | 749 | |
| identifier eissn | 1528-9036 | |
| keywords | Pressure | |
| keywords | Membranes | |
| keywords | Approximation AND Deflection | |
| tree | Journal of Applied Mechanics:;1983:;volume( 050 ):;issue: 4a | |
| contenttype | Fulltext |