Details
| Original language | English |
|---|---|
| Pages (from-to) | 1393-1405 |
| Number of pages | 13 |
| Journal | JVC/Journal of Vibration and Control |
| Volume | 13 |
| Issue number | 9-10 |
| Publication status | Published - 1 Sept 2007 |
| Externally published | Yes |
Abstract
A large number of engineering systems include non-linear or even non-smooth behaviour. During development and optimisation of mechanical systems, a comprehensive dynamical analysis may be essential. Set-oriented Numerical Methods offer a new and efficient approach to global dynamical analysis without the requirement for a detailed a priori knowledge of the system dynamics. This paper shows the basic concepts behind this method and presents its application to a simple model of a vibro-impact device for ultrasonic/sonic drilling. In this drilling device an impacting mass transmits vibrational energy from a piezoelectric actuator as shock waves into a drill stem. Relative global attractors will be derived which show statistical distributions for the occurrence of all possible states. Periodic solutions can be identified parallel to the evaluation of chaotic behaviour. Thus a global understanding of the system performance can be obtained, offering new ways for model verification and system design.
Keywords
- Impact, Modeling, Non-linear, Non-smooth
ASJC Scopus subject areas
- Engineering(all)
- Automotive Engineering
- Materials Science(all)
- General Materials Science
- Engineering(all)
- Aerospace Engineering
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
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In: JVC/Journal of Vibration and Control, Vol. 13, No. 9-10, 01.09.2007, p. 1393-1405.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On Set-oriented Numerical Methods for Global Analysis of Non-smooth Mechanical Systems
AU - Neumann, Nicolai
AU - Sattel, Thomas
AU - Wallaschek, Jörg
N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2007/9/1
Y1 - 2007/9/1
N2 - A large number of engineering systems include non-linear or even non-smooth behaviour. During development and optimisation of mechanical systems, a comprehensive dynamical analysis may be essential. Set-oriented Numerical Methods offer a new and efficient approach to global dynamical analysis without the requirement for a detailed a priori knowledge of the system dynamics. This paper shows the basic concepts behind this method and presents its application to a simple model of a vibro-impact device for ultrasonic/sonic drilling. In this drilling device an impacting mass transmits vibrational energy from a piezoelectric actuator as shock waves into a drill stem. Relative global attractors will be derived which show statistical distributions for the occurrence of all possible states. Periodic solutions can be identified parallel to the evaluation of chaotic behaviour. Thus a global understanding of the system performance can be obtained, offering new ways for model verification and system design.
AB - A large number of engineering systems include non-linear or even non-smooth behaviour. During development and optimisation of mechanical systems, a comprehensive dynamical analysis may be essential. Set-oriented Numerical Methods offer a new and efficient approach to global dynamical analysis without the requirement for a detailed a priori knowledge of the system dynamics. This paper shows the basic concepts behind this method and presents its application to a simple model of a vibro-impact device for ultrasonic/sonic drilling. In this drilling device an impacting mass transmits vibrational energy from a piezoelectric actuator as shock waves into a drill stem. Relative global attractors will be derived which show statistical distributions for the occurrence of all possible states. Periodic solutions can be identified parallel to the evaluation of chaotic behaviour. Thus a global understanding of the system performance can be obtained, offering new ways for model verification and system design.
KW - Impact
KW - Modeling
KW - Non-linear
KW - Non-smooth
UR - http://www.scopus.com/inward/record.url?scp=34748855495&partnerID=8YFLogxK
U2 - 10.1177/1077546307077500
DO - 10.1177/1077546307077500
M3 - Article
AN - SCOPUS:34748855495
VL - 13
SP - 1393
EP - 1405
JO - JVC/Journal of Vibration and Control
JF - JVC/Journal of Vibration and Control
SN - 1077-5463
IS - 9-10
ER -