| contributor author | C. P. Atkinson | |
| contributor author | B. L. Dhoopar | |
| date accessioned | 2017-05-09T00:03:26Z | |
| date available | 2017-05-09T00:03:26Z | |
| date copyright | September, 1968 | |
| date issued | 1968 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-25875#565_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/124356 | |
| description abstract | This paper, “Symmetric Arc Solutions of ζ̈ = ζn ,” presents periodic solutions of this differential equation relating the complex variable ζ(t) = u(t) + iv(t) and its second time derivative ζ̈ The solutions are called symmetric arc solutions since they form such arcs on the ζ = u + iv-plane. The solutions, ζ(t), are “complex modes” of coupled nonlinear differential equations in the complex variables z1 and z2 . Symmetric arc solutions are presented for a range of n from n = 3 to n = 101. Approximate solutions are presented and compared with solutions generated by digital computer. Solutions are presented on the ζ-plane and in the time domain as u(t) and v(t). | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Symmetric Arc Solutions of ζ̈ = ζn | |
| type | Journal Paper | |
| journal volume | 35 | |
| journal issue | 3 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3601252 | |
| journal fristpage | 565 | |
| journal lastpage | 570 | |
| identifier eissn | 1528-9036 | |
| keywords | Differential equations | |
| keywords | Computers AND Nonlinear differential equations | |
| tree | Journal of Applied Mechanics:;1968:;volume( 035 ):;issue: 003 | |
| contenttype | Fulltext | |