| contributor author | H. T. Banks | |
| contributor author | Zheng-Hua Luo | |
| contributor author | L. A. Bergman | |
| contributor author | D. J. Inman | |
| date accessioned | 2017-05-08T23:55:35Z | |
| date available | 2017-05-08T23:55:35Z | |
| date copyright | December, 1998 | |
| date issued | 1998 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26457#980_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/119859 | |
| description abstract | In this paper we investigate a class of combined discrete-continuous mechanical systems consisting of a continuous elastic structure and a finite number of concentrated masses, elastic supports, and linear oscillators of arbitrary dimension. After the motion equations for such combined systems are derived, they are formulated as an abstract evolution equation on an appropriately defined Hilbert space. Our main objective is to ascertain conditions under which the combined systems have classical normal modes. Using the sesquilinear form approach, we show that unless some matching conditions are satisfied, the combined systems cannot have normal modes even if Kelvin-Voigt damping is considered. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | On the Existence of Normal Modes of Damped Discrete-Continuous Systems | |
| type | Journal Paper | |
| journal volume | 65 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.2791942 | |
| journal fristpage | 980 | |
| journal lastpage | 989 | |
| identifier eissn | 1528-9036 | |
| keywords | Dimensions | |
| keywords | Harmonic oscillators | |
| keywords | Equations of motion | |
| keywords | Damping AND Equations | |
| tree | Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004 | |
| contenttype | Fulltext | |
