| contributor author | D. Radomirovic | |
| contributor author | Dj. Djukic | |
| contributor author | L. Cveticanin | |
| date accessioned | 2017-05-09T00:36:52Z | |
| date available | 2017-05-09T00:36:52Z | |
| date copyright | January, 2010 | |
| date issued | 2010 | |
| identifier issn | 1555-1415 | |
| identifier other | JCNDDM-25702#011007_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/142751 | |
| description abstract | In this paper, the necessary and sufficient conditions for minima plane path with a movable end-point are developed. Using the calculus of variations the considered conditions are based on the zero first-order nonsimultaneous variation and on the positive second-order variation in the functional of integral type corresponding to mechanical systems. The applied procedure is the coordinate parametric method. The obtained solutions are tested on a brachistochrone with one end-point constrained to lie on a circle. The exact solution is compared with the approximate one obtained with Ritz’s method. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Brachistochrone With a Movable End-Point and the Nonsimultaneous Variations | |
| type | Journal Paper | |
| journal volume | 5 | |
| journal issue | 1 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4000316 | |
| journal fristpage | 11007 | |
| identifier eissn | 1555-1423 | |
| keywords | Theorems (Mathematics) | |
| keywords | Motion | |
| keywords | Boundary-value problems | |
| keywords | Equations | |
| keywords | Functions | |
| keywords | Polynomials | |
| keywords | Computer software AND Gravity (Force) | |
| tree | Journal of Computational and Nonlinear Dynamics:;2010:;volume( 005 ):;issue: 001 | |
| contenttype | Fulltext | |