| contributor author | Teodor M. Atanackovic | |
| date accessioned | 2017-05-09T00:22:21Z | |
| date available | 2017-05-09T00:22:21Z | |
| date copyright | November, 2007 | |
| date issued | 2007 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26666#1234_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/135035 | |
| description abstract | Governing equations of a compressed rotating rod with clamped–elastically clamped (hinged with a torsional spring) boundary conditions is derived. It is shown that the multiplicity of an eigenvalue of this system can be at most equal to two. The optimality conditions, via Pontryagin’s maximum principle, are derived in the case of bimodal optimization. When these conditions are used the problem of determining the optimal cross-sectional area function is reduced to the solution of a nonlinear boundary value problem. The problem treated here generalizes our earlier results presented in , 1997, Stability Theory of Elastic Rods, World Scientific, River Edge, NJ. The optimal shape of a rod is determined by numerical integration for several values of parameters. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Optimal Shape of a Rotating Rod With Unsymmetrical Boundary Conditions | |
| type | Journal Paper | |
| journal volume | 74 | |
| journal issue | 6 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2744041 | |
| journal fristpage | 1234 | |
| journal lastpage | 1238 | |
| identifier eissn | 1528-9036 | |
| keywords | Optimization | |
| keywords | Boundary-value problems | |
| keywords | Buckling | |
| keywords | Shapes | |
| keywords | Springs | |
| keywords | Stability AND Eigenvalues | |
| tree | Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 006 | |
| contenttype | Fulltext | |
