Exact Equations for the Large Inextensional Motion of Elastic PlatesSource: Journal of Applied Mechanics:;1981:;volume( 048 ):;issue: 001::page 109Author:J. G. Simmonds
DOI: 10.1115/1.3157551Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The governing equations for plates that twist as they deform are reduced to 14 differential equations, first-order in a single space variable and second-order in time. Many of the equations are the same as for statics. Nevertheless, the extension to dynamics is nontrivial because the natural coordinates to use to describe the deformed, developable midsurface are not Lagrangian. The plate is assumed to have two curved, stress-free edges, one built-in straight edge, and one free straight edge acted upon by a force and a couple. There are 7 boundary conditions at the built-in end and 7 at the free end.
keyword(s): Motion , Elastic plates , Equations , Dynamics (Mechanics) , Force , Stress , Differential equations , Plates (structures) , Statics AND Boundary-value problems ,
|
Collections
Show full item record
| contributor author | J. G. Simmonds | |
| date accessioned | 2017-05-08T23:10:30Z | |
| date available | 2017-05-08T23:10:30Z | |
| date copyright | March, 1981 | |
| date issued | 1981 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26170#109_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/94219 | |
| description abstract | The governing equations for plates that twist as they deform are reduced to 14 differential equations, first-order in a single space variable and second-order in time. Many of the equations are the same as for statics. Nevertheless, the extension to dynamics is nontrivial because the natural coordinates to use to describe the deformed, developable midsurface are not Lagrangian. The plate is assumed to have two curved, stress-free edges, one built-in straight edge, and one free straight edge acted upon by a force and a couple. There are 7 boundary conditions at the built-in end and 7 at the free end. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Exact Equations for the Large Inextensional Motion of Elastic Plates | |
| type | Journal Paper | |
| journal volume | 48 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3157551 | |
| journal fristpage | 109 | |
| journal lastpage | 112 | |
| identifier eissn | 1528-9036 | |
| keywords | Motion | |
| keywords | Elastic plates | |
| keywords | Equations | |
| keywords | Dynamics (Mechanics) | |
| keywords | Force | |
| keywords | Stress | |
| keywords | Differential equations | |
| keywords | Plates (structures) | |
| keywords | Statics AND Boundary-value problems | |
| tree | Journal of Applied Mechanics:;1981:;volume( 048 ):;issue: 001 | |
| contenttype | Fulltext |