On the Sufficiency of the Principle of Virtual Work for Mechanical Equilibrium: A Critical ReexaminationSource: Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 003::page 704Author:John G. Papastavridis
DOI: 10.1115/1.3176150Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Starting from the general kinetic principle of d’Alembert/Lagrange, an energetic proof of the sufficiency conditions for equilibrium (known as Principle of Virtual Work) is presented. It is clearly demonstrated why to maintain equilibrium requires that, in addition to the familiar vanishing of the virtual work of the impressed forces on the originally motionless system, its geometrical (holonomic) constraints be explicitly time independent (stationary) and its nonintegrable kinematical (nonholonomic) ones be linear and homogeneous in the generalized velocities (catastatic).
keyword(s): Equilibrium (Physics) , Virtual work principle AND Force ,
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| contributor author | John G. Papastavridis | |
| date accessioned | 2017-05-08T23:29:06Z | |
| date available | 2017-05-08T23:29:06Z | |
| date copyright | September, 1989 | |
| date issued | 1989 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26311#704_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/104927 | |
| description abstract | Starting from the general kinetic principle of d’Alembert/Lagrange, an energetic proof of the sufficiency conditions for equilibrium (known as Principle of Virtual Work) is presented. It is clearly demonstrated why to maintain equilibrium requires that, in addition to the familiar vanishing of the virtual work of the impressed forces on the originally motionless system, its geometrical (holonomic) constraints be explicitly time independent (stationary) and its nonintegrable kinematical (nonholonomic) ones be linear and homogeneous in the generalized velocities (catastatic). | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Sufficiency of the Principle of Virtual Work for Mechanical Equilibrium: A Critical Reexamination | |
| type | Journal Paper | |
| journal volume | 56 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3176150 | |
| journal fristpage | 704 | |
| journal lastpage | 707 | |
| identifier eissn | 1528-9036 | |
| keywords | Equilibrium (Physics) | |
| keywords | Virtual work principle AND Force | |
| tree | Journal of Applied Mechanics:;1989:;volume( 056 ):;issue: 003 | |
| contenttype | Fulltext |