On the Reciprocal Form of Hamilton’s PrincipleSource: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001::page 93Author:Z. M. Elias
DOI: 10.1115/1.3422980Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A complementary energy principle for dynamic analysis due to Toupin is critically examined. It is found that the variational principle is a necessary but not a sufficient condition for geometric compatibility and that consequently it allows the occurrence of spurious solutions. A necessary and sufficient condition of compatibility is obtained through the reciprocal form of Hamilton’s principle which is derived for discrete and continuous systems. Additional terms appearing in the derived principle insure that spurious solutions cannot occur. The derived variational principle can be expressed in terms of stresses and velocities or in terms of impulses.
keyword(s): Hamilton's principle , Variational principles , Impulse (Physics) , Dynamic analysis AND Stress ,
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| contributor author | Z. M. Elias | |
| date accessioned | 2017-05-09T01:36:01Z | |
| date available | 2017-05-09T01:36:01Z | |
| date copyright | March, 1973 | |
| date issued | 1973 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25974#93_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/163555 | |
| description abstract | A complementary energy principle for dynamic analysis due to Toupin is critically examined. It is found that the variational principle is a necessary but not a sufficient condition for geometric compatibility and that consequently it allows the occurrence of spurious solutions. A necessary and sufficient condition of compatibility is obtained through the reciprocal form of Hamilton’s principle which is derived for discrete and continuous systems. Additional terms appearing in the derived principle insure that spurious solutions cannot occur. The derived variational principle can be expressed in terms of stresses and velocities or in terms of impulses. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Reciprocal Form of Hamilton’s Principle | |
| type | Journal Paper | |
| journal volume | 40 | |
| journal issue | 1 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3422980 | |
| journal fristpage | 93 | |
| journal lastpage | 100 | |
| identifier eissn | 1528-9036 | |
| keywords | Hamilton's principle | |
| keywords | Variational principles | |
| keywords | Impulse (Physics) | |
| keywords | Dynamic analysis AND Stress | |
| tree | Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001 | |
| contenttype | Fulltext |