On the Finite Deflection Dynamics of Thin Elastic BeamsSource: Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 004::page 961Author:S. Y. Lee
DOI: 10.1115/1.3408982Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A dynamic theory of thin beams undergoing large deflection but small strain is derived. Geometric nonlinearities are preserved but the material is assumed to behave linearly. Contributions due to rotatory inertia, shear deformation, and axial stress resultants are included. The resulting equations are analyzed by characteristic techniques. Wave-propagation speeds, jump properties, and their physical significances are discussed. A simplifying assumption generates a modified Timoshenko beam equation which is valid for large deformation.
keyword(s): Dynamics (Mechanics) , Deflection , Equations , Shear deformation , Inertia (Mechanics) , Deformation , Wave propagation AND Stress ,
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| contributor author | S. Y. Lee | |
| date accessioned | 2017-05-09T00:47:39Z | |
| date available | 2017-05-09T00:47:39Z | |
| date copyright | December, 1971 | |
| date issued | 1971 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25950#961_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/147889 | |
| description abstract | A dynamic theory of thin beams undergoing large deflection but small strain is derived. Geometric nonlinearities are preserved but the material is assumed to behave linearly. Contributions due to rotatory inertia, shear deformation, and axial stress resultants are included. The resulting equations are analyzed by characteristic techniques. Wave-propagation speeds, jump properties, and their physical significances are discussed. A simplifying assumption generates a modified Timoshenko beam equation which is valid for large deformation. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Finite Deflection Dynamics of Thin Elastic Beams | |
| type | Journal Paper | |
| journal volume | 38 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3408982 | |
| journal fristpage | 961 | |
| journal lastpage | 963 | |
| identifier eissn | 1528-9036 | |
| keywords | Dynamics (Mechanics) | |
| keywords | Deflection | |
| keywords | Equations | |
| keywords | Shear deformation | |
| keywords | Inertia (Mechanics) | |
| keywords | Deformation | |
| keywords | Wave propagation AND Stress | |
| tree | Journal of Applied Mechanics:;1971:;volume( 038 ):;issue: 004 | |
| contenttype | Fulltext |