Some Properties of Motion Equations Describing the Nonlinear Dynamical Response of a Multibody System with Flexible Elements
Joint Authors
Scutaru, Maria Luminiţa
Vlase, Sorin
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-10
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
The industrial applications use instruments and machines operating at high speeds, developing high forces, low temperatures, corrosive environments, extreme pressures, and so forth.
Under these conditions, the elasticity of elements such a machine is built of cannot be ignored anymore, and models are needed to more accurately “grasp” the mechanical phenomena accompanying the operation.
The vibrations and the loss of stability are the main effects occurring under these conditions.
For the study on this kind of systems with rigid motion and elastic elements, numerous models have been elaborated, the main idea being the discretization of the elements and the use of finite element method.
Finally, second-order differential equations with variable coefficients are obtained; these equations are strong nonlinear ones due to the time-dependent values of angular speed and acceleration, and they can be linearized considering a very short period of time, in which the motion is considered to be “frozen.” The aim of this paper is to present some characteristic properties of these systems.
American Psychological Association (APA)
Scutaru, Maria Luminiţa& Vlase, Sorin. 2012. Some Properties of Motion Equations Describing the Nonlinear Dynamical Response of a Multibody System with Flexible Elements. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993433
Modern Language Association (MLA)
Scutaru, Maria Luminiţa& Vlase, Sorin. Some Properties of Motion Equations Describing the Nonlinear Dynamical Response of a Multibody System with Flexible Elements. Journal of Applied Mathematics No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-993433
American Medical Association (AMA)
Scutaru, Maria Luminiţa& Vlase, Sorin. Some Properties of Motion Equations Describing the Nonlinear Dynamical Response of a Multibody System with Flexible Elements. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-993433
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993433