Normal Modes of Nonlinear Dual-Mode SystemsSource: Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 002::page 263Author:R. M. Rosenberg
DOI: 10.1115/1.3643948Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A system consisting of two unequal masses, interconnected by a coupling spring, and each connected to an anchor spring, is examined. The springs may all be unequal and nonlinear, but each resists being compressed to the same degree as being stretched. The concept of normal modes is rigorously defined, and methods of finding them are given. A knowledge of these modes reduces the coupled system to two uncoupled ones which can always be integrated in quadrature. There exists an infinity of systems, of which the linear is one, which can be integrated in closed form. This approach yields, even for the linear system, new results of great simplicity.
keyword(s): Linear systems AND Springs ,
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contributor author | R. M. Rosenberg | |
date accessioned | 2017-05-08T23:02:15Z | |
date available | 2017-05-08T23:02:15Z | |
date copyright | June, 1960 | |
date issued | 1960 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-25541#263_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/89501 | |
description abstract | A system consisting of two unequal masses, interconnected by a coupling spring, and each connected to an anchor spring, is examined. The springs may all be unequal and nonlinear, but each resists being compressed to the same degree as being stretched. The concept of normal modes is rigorously defined, and methods of finding them are given. A knowledge of these modes reduces the coupled system to two uncoupled ones which can always be integrated in quadrature. There exists an infinity of systems, of which the linear is one, which can be integrated in closed form. This approach yields, even for the linear system, new results of great simplicity. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Normal Modes of Nonlinear Dual-Mode Systems | |
type | Journal Paper | |
journal volume | 27 | |
journal issue | 2 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3643948 | |
journal fristpage | 263 | |
journal lastpage | 268 | |
identifier eissn | 1528-9036 | |
keywords | Linear systems AND Springs | |
tree | Journal of Applied Mechanics:;1960:;volume( 027 ):;issue: 002 | |
contenttype | Fulltext |