Some General Orthogonality RelationsSource: Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 003::page 596Author:H. Herman
DOI: 10.1115/1.3408585Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: General orthogonality relations which are valid for all linear elastic systems are derived, one relation for systems without damping and another for systems with viscous damping. A general orthogonality relation is also derived for linear viscoelastic systems, but the proof of its validity does not extend to approximate theories with indeterminacies in the stress-strain relations. The method of utilizing the orthogonality relations to determine the coefficients in series expansions is demonstrated.
keyword(s): Damping AND Stress-strain relations ,
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| contributor author | H. Herman | |
| date accessioned | 2017-05-09T00:31:53Z | |
| date available | 2017-05-09T00:31:53Z | |
| date copyright | September, 1970 | |
| date issued | 1970 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25920#596_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/140067 | |
| description abstract | General orthogonality relations which are valid for all linear elastic systems are derived, one relation for systems without damping and another for systems with viscous damping. A general orthogonality relation is also derived for linear viscoelastic systems, but the proof of its validity does not extend to approximate theories with indeterminacies in the stress-strain relations. The method of utilizing the orthogonality relations to determine the coefficients in series expansions is demonstrated. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Some General Orthogonality Relations | |
| type | Journal Paper | |
| journal volume | 37 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408585 | |
| journal fristpage | 596 | |
| journal lastpage | 598 | |
| identifier eissn | 1528-9036 | |
| keywords | Damping AND Stress-strain relations | |
| tree | Journal of Applied Mechanics:;1970:;volume( 037 ):;issue: 003 | |
| contenttype | Fulltext |