A Differential Algebraic Method to Approximate Nonsmooth Mechanical Systems by Ordinary Differential Equations
Joint Authors
Kikuuwe, Ryo
Xiong, Xiaogang
Yamamoto, Motoji
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-20
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Nonsmooth mechanical systems, which are mechanical systems involving dry friction and rigid unilateral contact, are usually described as differential inclusions (DIs), that is, differential equations involving discontinuities.
Those DIs may be approximated by ordinary differential equations (ODEs) by simply smoothing the discontinuities.
Such approximations, however, can produce unrealistic behaviors because the discontinuous natures of the original DIs are lost.
This paper presents a new algebraic procedure to approximate DIs describing nonsmooth mechanical systems by ODEs with preserving the discontinuities.
The procedure is based on the fact that the DIs can be approximated by differential algebraic inclusions (DAIs), and thus they can be equivalently rewritten as ODEs.
The procedure is illustrated by some examples of nonsmooth mechanical systems with simulation results obtained by the fourth-order Runge-Kutta method.
American Psychological Association (APA)
Xiong, Xiaogang& Kikuuwe, Ryo& Yamamoto, Motoji. 2013. A Differential Algebraic Method to Approximate Nonsmooth Mechanical Systems by Ordinary Differential Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-463245
Modern Language Association (MLA)
Xiong, Xiaogang…[et al.]. A Differential Algebraic Method to Approximate Nonsmooth Mechanical Systems by Ordinary Differential Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-463245
American Medical Association (AMA)
Xiong, Xiaogang& Kikuuwe, Ryo& Yamamoto, Motoji. A Differential Algebraic Method to Approximate Nonsmooth Mechanical Systems by Ordinary Differential Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-463245
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463245