contributor author | S. Natsiavas | |
contributor author | J. L. Beck | |
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#1022_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/119864 | |
description abstract | The dynamic response of a general class of continuous linear vibrating systems is analyzed which possess damping properties close to those resulting in classical (uncoupled) normal modes. First, conditions are given for the existence of classical modes of vibration in a continuous linear system, with special attention being paid to the boundary conditions. Regular perturbation expansions in terms of undamped modeshapes are then utilized for analyzing the eigenproblem as well as the vibration response of almost classically damped systems. The analysis is based on a proper splitting of the damping operators in both the field equations and the boundary conditions. The main advantage of this approach is that it allows application of standard modal analysis methodologies so that the problem is reduced to that of finding the frequencies and mode shapes of the corresponding undamped system. The approach is illustrated by two simple examples involving rod and beam vibrations. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Almost Classically Damped Continuous Linear Systems | |
type | Journal Paper | |
journal volume | 65 | |
journal issue | 4 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.2791896 | |
journal fristpage | 1022 | |
journal lastpage | 1031 | |
identifier eissn | 1528-9036 | |
keywords | Linear systems | |
keywords | Vibration | |
keywords | Boundary-value problems | |
keywords | Damping | |
keywords | Shapes | |
keywords | Dynamic response | |
keywords | Equations AND Frequency | |
tree | Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 004 | |
contenttype | Fulltext | |