New Generation Damping Technologies
Lead Research Organisation:
University of Sheffield
Department Name: Automatic Control and Systems Eng
Abstract
The output frequency response is fundamentally important in the identification, analysis and design of linear systems in the frequency domain with many applications in control, communications, and vibration studies. This research investigation will extend these results by focusing on the output frequency response function [OFRF] for the Volterra class of nonlinear systems, which has recently been derived by the authors. The new OFRF concept reveals, for the first time, that for a wide class of nonlinear systems there is a simple polynomial relationship between the output spectrum and the time domain model parameters, which define the system nonlinearity. This provides the opportunity to analytically conduct optimal designs of nonlinear damping for both sdof and mdof systems, to determine the range of validity of the results, and to validate the new design technology using a vibration supression rig in the laboratory.
Publications
Peng Z
(2012)
Reducing force transmissibility in multiple degrees of freedom structures through anti-symmetric nonlinear viscous damping
in Acta Mechanica Sinica
Jing X
(2009)
Parametric Characteristic Analysis for Generalized Frequency Response Functions of Nonlinear Systems
in Circuits, Systems & Signal Processing
Peng Z
(2012)
Evaluation of transmissibility for a class of nonlinear passive vibration isolators
in Frontiers of Mechanical Engineering
Bayma R
(2012)
A New Method for Determining the Generalised Frequency Response Functions of Nonlinear Systems
in IEEE Transactions on Circuits and Systems I: Regular Papers
Bin Zhang
(2009)
Analytical Description of the Frequency Response Function of the Generalized Higher Order Duffing Oscillator Model
in IEEE Transactions on Circuits and Systems I: Regular Papers
Zhu Y
(2018)
Design of Nonlinear Systems in the Frequency Domain: An Output Frequency Response Function-Based Approach
in IEEE Transactions on Control Systems Technology
Jing X
(2008)
Mapping from parametric characteristics to generalized frequency response functions of non-linear systems
in International Journal of Control
Jing X
(2008)
Frequency domain analysis for non-linear Volterra systems with a general non-linear output function
in International Journal of Control
Wu X
(2008)
The design of energy transfer filters for energy focus filtering
in International Journal of Control
Peng Z
(2011)
The force transmissibility of MDOF structures with a non-linear viscous damping device
in International Journal of Non-Linear Mechanics
Jing X
(2010)
Output frequency properties of nonlinear systems
in International Journal of Non-Linear Mechanics
Peng Z
(2012)
Study of the effects of cubic nonlinear damping on vibration isolations using Harmonic Balance Method
in International Journal of Non-Linear Mechanics
Delaune S
(2009)
Verifying privacy-type properties of electronic voting protocols
in Journal of Computer Security
Jing X
(2009)
On the Generalized Frequency Response Functions of Volterra Systems
in Journal of Dynamic Systems, Measurement, and Control
Laalej H
(2010)
Numerical Investigation of the Effects of MR Damper Characteristic Parameters on Vibration Isolation of SDOF Systems Under Harmonic Excitations
in Journal of Intelligent Material Systems and Structures
Jing X
(2009)
Determination of the analytical parametric relationship for output spectrum of Volterra systems based on its parametric characteristics
in Journal of Mathematical Analysis and Applications
Lang Z
(2013)
Output frequency response function based design of additional nonlinear viscous dampers for vibration control of multi-degree-of-freedom systems
in Journal of Sound and Vibration
Lang Z
(2009)
Theoretical study of the effects of nonlinear viscous damping on vibration isolation of sdof systems
in Journal of Sound and Vibration
Peng Z
(2008)
The effects of nonlinearity on the output frequency response of a passive engine mount
in Journal of Sound and Vibration
Peng Z
(2008)
Comparisons between harmonic balance and nonlinear output frequency response function in nonlinear system analysis
in Journal of Sound and Vibration
Jing X
(2008)
Frequency domain analysis for suppression of output vibration from periodic disturbance using nonlinearities
in Journal of Sound and Vibration
Zhang B
(2008)
A novel nonlinear approach to suppress resonant vibrations
in Journal of Sound and Vibration
Peng Z
(2010)
The Transmissibility of Vibration Isolators With a Nonlinear Antisymmetric Damping Characteristic
in Journal of Vibration and Acoustics
| Description | In mechanical, civil, and structural engineering, it is well-known that the increase of damping can often only improve the vibration control performance around resonance but is detrimental for the performance over higher frequencies. This project, for the first time, theoretically revealed that the use of odd powered nonlinear damping can systematically resolve this fundamental problem. The novel OFRF (Output Frequency Response Function) concept proposed by the research team and associated theories and methods are the very basis of this investigation. The results provide an important foundation for the development of effective solutions to a wide range of engineering structural vibration control problems. In order to exploit the beneficial effects of nonlinear damping in engineering applications, the design and implementation of nonlinear damping have been conducted on several experimental systems including a BAE Systems test rig for marine vessel engine vibration isolation, providing novel and much better solutions to the structures' vibration control problems. |
| Exploitation Route | The research findings have significant potential engineering applications. These include, for example, providing novel vibration isolation solution for generators and engines, and optimal placement and design of nonlinear dampers for more effective building vibration control during earthquakes etc. In these studies, the nonlinear damping was designed using the OFRF based nonlinear system design approaches and implemented by either active control device or semi-active MR dampers. These results provide a necessary basis for the application of nonlinear damping to resolve the vibration control problems of complex engineering structural systems such as, e.g., wind turbine towers and multi-storey buildings. The research team has already started collaboration with experts in these areas to apply the findings of this project to address relevant challenges. |
| Sectors | Aerospace, Defence and Marine,Chemicals,Construction,Electronics,Energy,Manufacturing, including Industrial Biotechology,Other |
| Description | The findings have been applied by both the PI 's research team and other researchers to address the vibration control problems in marine, wind energy, and earthquake engineering. For example, the PI's team is currently collaborating with researchers at Keio University in Japan to investigate the application of the novel nonlinear damping technology developed in this project to the design of semi-active isolation system for the Sosokan Building at Keio University. |
| Sector | Construction |
| Description | Royal Society International Exchanges Scheme |
| Amount | £12,000 (GBP) |
| Funding ID | IE150298 |
| Organisation | The Royal Society |
| Sector | Charity/Non Profit |
| Country | United Kingdom |
| Start | 08/2015 |
| End | 12/2017 |
| Description | Royal Society International Joint Projects |
| Amount | £11,190 (GBP) |
| Funding ID | JP091396 |
| Organisation | The Royal Society |
| Sector | Charity/Non Profit |
| Country | United Kingdom |
| Start | 06/2010 |
| End | 05/2012 |
| Description | Application of nonlinear damping technology in earthquake engineering |
| Organisation | Keio University |
| Country | Japan |
| Sector | Academic/University |
| PI Contribution | Nonlinear damping technology |
| Collaborator Contribution | Experimental facilities and expertise in earthquake engineering |
| Impact | Two successful experimental studies have been completed . This is a very multi-disciplinary work involving system and control scientists and researchers in earthquake engineering . |
| Start Year | 2015 |