Skip to main content Accessibility help
×
Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-23T06:58:48.940Z Has data issue: false hasContentIssue false

7 - Dynamics of Systems with Sign-Changing Stiffness

Features of Active Parametric and Motion Control

Published online by Cambridge University Press:  29 October 2021

Chang-Myung Lee
Affiliation:
University of Ulsan, South Korea
Vladimir Nicholas Goverdovskiy
Affiliation:
University of Ulsan, South Korea
Get access

Summary

Most routine strategies of motion control in vibration protection systems are based on attenuation of resonant responses using external semi-active or active dampers. In the systems with negative and quasi-zero stiffness, it is simpler because there is no need to know and continually process random signal data from an external vibration source. The control focuses on maintaining a certain balance between the positive and negative stiffness of parametric elements varied in predetermined ranges to keep separation of the system natural frequency spectra and the frequencies of forced vibrations including near-zero values. The control criteria, formulated and quantitatively estimated, provide extremely small stiffness, immobility in a steady state motion, and stabilization in a transient motion of the system without an external damper. The control strategy is validated through designing the systems supplied with active pneumatic suspensions and passive mechanisms of variable negative stiffness. The control algorithms were realized with the help of a two-channel control system and actuators made of commercial hardware and operating in parallel. Efficiency of the algorithms has been estimated through comparison of results of computer simulation and development test of seat suspensions for vibration protection of drivers of heavy trucks and buses and for helicopter pilots.

Type
Chapter
Information
Vibration Protection Systems
Negative and Quasi-Zero Stiffness
, pp. 172 - 200
Publisher: Cambridge University Press
Print publication year: 2021

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Synev, A.V., Methods of analysis and design of vibration protection systems for a man-operator, doctoral thesis, Research Institute of Machines Science, Russian Academy of Sciences, 1979. In Russian.Google Scholar
Genkin, M.D., Yelezov, V.G., and Yablonskiy, V.V., Methods of Active Vibration Control for Machinery (Moscow: Science, 1985). In Russian.Google Scholar
Hertz, Y.V., ed., Analysis and Design of Pneumatic Drives, 2nd ed. (Moscow: Engineering, 1987). In Russian.Google Scholar
Deppert, W. and Stoll, K., Pneumatic Control: An Introduction to the Principles, English ed. (Würzburg: Vogel, 1987).Google Scholar
Frolov, K.V. and Furman, F.A., Applied Theory of Vibration Protecting Systems (New York: Taylor and Francis, 1990).Google Scholar
Seat suspensions. LORD Corp. Available at www.lord.com.Google Scholar
Hyland, D.S., Junkins, J.L., and Longman, R.W., Active control strategy for large space structures. Journal of Guidance, Control and Dynamics, 16 (1993), 801821.Google Scholar
Sun, J.Q., Jolly, M.R., and Norris, M.A., Passive, adaptive and active tuned vibration absorbers: a survey. Transactions of ASME, 117 (1995), 234242.Google Scholar
Herzog, R., Active versus passive vibration absorbers. Journal of Dynamic Systems, Measurement, and Control, 116 (1994), 367371.Google Scholar
Hamiti, K., Voda-Besançon, A., and Roux-Buisson, H., Position control of a pneumatic actuator under the influence of stiction. Control Engineering Practice, 4 (1996), 10791088.Google Scholar
Shinskey, F.G., Process Control Systems: Application, Design and Turning, 4th ed. (New York: McGraw-Hill, 1996).Google Scholar
Harris, C.M., ed., Shock and Vibration Handbook, 4th ed. (New York: McGraw-Hill, 1996).Google Scholar
Joshi, N.V., Murugan, P., and Rhineahrt, R.R., Experimental comparison of control strategies. Journal of Sound and Vibration, 5 (1997), 885896.Google Scholar
Wu, X. and Griffin, M.J., A semi-active control policy to reduce the occurrence and severity of end-stop impacts in a suspension seat with an electrorheological fluid damper. Journal of Sound and Vibration, 203 (1997), 781793.Google Scholar
Ryu, J.-H., Song, J., and Kwon, D.-S., A practical control strategy for servo-pneumatic actuator systems. Control Engineering Practice, 7 (1999), 14831488.Google Scholar
Powers, W.F. and Nicastri, P.R., Automotive vehicle control challenges in 21st century. Control Engineering Practice, 8 (2000), 605618.Google Scholar
Ying, Z.G., Zhu, W.Q., and Soong, T.T., A stochastic optimal semi-active control strategy for ER/MR dampers. Journal of Sound and Vibration, 259 (2003), 4562.Google Scholar
Liu, Y., Waters, T.P., and Brennan, M.J., A comparison of semi-active damping control strategies for vibration isolation of harmonic disturbances. Journal of Sound and Vibration, 280 (2004), 2139.CrossRefGoogle Scholar
Collette, C., Janssens, S., and Artoos, K., Review of active vibration isolation strategies. Recent Patents on Mechanical Engineering, 3 (2011), 18.Google Scholar
Zuo, G. and Wong, L., A review on recent active vibration control techniques, 2016. Available at www.arxiv.org/ftp/arxiv/papers/1601/1601.05889.pdf.Google Scholar
Lee, C.-M., Bogachenkov, A.H., Goverdovskiy, V.N., Temnikov, A.I., and Shynkarenko, Y.V., Position control of seat suspension with minimum stiffness. Journal of Sound and Vibration, 292 (2006), 435442.Google Scholar
Krejcir, O., Pneumaticka vibroizolace, Doctorska Disertacna Prace, Liberec, Czech Republic, 1986. In Czech.Google Scholar
Keller, H. and Isermann, R., Model-based nonlinear adaptive control of a pneumatic actuator. Control Engineering Practice, 1 (1993), 505511.Google Scholar
Ellison, J., Grodsinsky, C., and Ahmadi, G., Evaluation of passive and active vibration control mechanisms in a microgravity environment. AIAA, 93 (1993), 838.Google Scholar
Shih, M.-C. and Tseng, S.-I., Identification and position control of a servo pneumatic cylinder. Control Engineering Practice, 3 (1995), 12851290.Google Scholar
Bergeon, B., Martinez, D., Coustal, P., and Granier, J.P., Design of an active suspension system for a micro-gravity experiment. Control Engineering Practice, 4 (1996), 14911502.Google Scholar
Brodersen, C.T., Controlled suspension of a seat, DE Patent 19848603, 1998.Google Scholar
McManus, S.J., Clair, K.A.ST., Boileau, P.É., Boutin, J., and Rakheja, S., Evaluation of vibration and shock attenuation performance of a suspension seat with a semi-active magnetorheological fluid damper. Journal of Sound and Vibration, 253 (2002), 313327.Google Scholar
Kim, J.-H. and Lee, C.-W., Semi-active damping control of suspension systems for specified operational response mode. Journal of Sound and Vibration, 260 (2003), 307328.Google Scholar
Hostens, I., Deprez, K., and Ramon, H., An improved design of air suspension for seats of mobile agricultural machines. Journal of Sound and Vibration, 276 (2004), 141156.Google Scholar
Lee, C.-M. and Goverdovskiy, V.N., Alternative vibration protecting systems for men-operators of transport machines: Modern level and prospects. Journal of Sound and Vibration, 249 (2002), 635647.Google Scholar
Goverdovskiy, V.N. and Lee, C.-M., A method of vibration isolation of a helicopter pilot, RU Patent 2597042, 2016.Google Scholar
Industrial Vibration Modeling, 9th annual conference of the North East Polytechnic Mathematical Modeling and Computer Simulation Group, Newcastle, UK, May 21–22, 1986.Google Scholar
Smith, J.D., Vibration Measurement and Analyses (Borough Green: Butterworth, 1989).Google Scholar
Rao, S.S. and Pan, T.S., Modeling, control and design of flexible structures: A survey. Applied Mechanics Review, 43 (1990), 99117.Google Scholar
Ewins, D.J., Modal Testing: Theory, Practice and Application, 2nd ed. (Baldock: Research Studies Press, 2000).Google Scholar
Lipovszky, G., Vibration Testing of Machines and Their Maintenance, English ed. (Netherlands: Elsevier, 1990).Google Scholar
Goverdovskiy, V.N., Furin, G.G., and Lee, C.-M., Perfluorochemical film-forming material in transport vibration isolation systems. In Proceedings the First Conference “Chemistry for Motor Transport” (Novosibirsk, Russia, 2004), 217220.Google Scholar
Luck, K. and Modler, K.-H., Synthesis of guidance mechanisms. Journal of Mechanism and Machine Theory, 29 (1994), 525533.Google Scholar
Quaglia, G. and Sorli, M, Air suspension dimensionless analysis and design procedure. Vehicle System Dynamics, 35 (2001), 443475.Google Scholar
Pneumatic and electric automation technology. Available at www.festo.com.Google Scholar
Mo, C., Semi-active vibration control for the integrated seat/chassis suspension with a nonlinear seat cushion. In Proceedings the JSSUME 2002 Advanced Studies in Mechanical Engineering (Daegu, Korea, 2002), 243246.Google Scholar
Rybak, L.A., Synev, A.V., and Pashkov, A.I., Synthesis of Active Vibration Isolation for Space Vehicles (Moscow: Janus-K, 1997). In Russian.Google Scholar
Shih, M.-C. and Tseng, S.-I., Identification and position control of a servo pneumatic cylinder. Control Engineering Practice, 3 (1995), 12851290.Google Scholar
Anthonis, J., Swevers, J., Moshou, D., and Ramon, H., H-controller design for a vibration isolating platform. Control Engineering Practice, 7 (1999), 13331341.Google Scholar
Smith, M.C. and Walker, G.W., Performance limitations and constrains for active and passive suspensions: A mechanical multi-port approach. Vehicle System Dynamics, 33 (2000), 137168.Google Scholar
Xiang, F. and Wikander, J., Block-oriented approximate feedback linearization for control of pneumatic actuator system. Control Engineering Practice, 12 (2004), 387399.Google Scholar
Jie, M., Xinyue, L., and Shuqi, Z., Controller design for the electrical load simulator based on H∞-control theory. In Proceedings the Theory, Methodology, Tools and Applications for Modeling and Simulation of Complex Systems: 16th Asia Simulation Conference and SCS Autumn Simulation Multi-Conference (Beijing, China, 2016), 57−66.Google Scholar
How to design efficient pneumatic systems. Clippard Instrument Laboratory. Available at www.clippard.com.Google Scholar
Kamal, R., Microcontrollers: Architecture, Programming, Interfacing and System Design, 2nd ed. (India: Pearson, 2011).Google Scholar
Evers, A., Hofmann, F., Hartgers, H., and Scharf, T., Pneumatic actuator and method for operating an active vibration isolation system, US Patent 10480609, 2019.Google Scholar
Lee, D., Allan, J., Thompson, H.A., and Bennett, S., PID control for a distributed system with a smart actuator. Control Engineering Practice, 9 (2001), 12351244.CrossRefGoogle Scholar
Gao, X., Shang, C., Huang, D., and Yang, F., A novel approach to monitoring and maintenance of industrial PID controllers. Control Engineering Practice, 64 (2017), 111126.Google Scholar
PID-controllers. Available at www.ebay.com.Google Scholar
Ellis, S. and Liston, D.B., Visual features used by airport tower controllers: Some implications for the design of remote or virtual towers. In book Virtual and Remote Control Tower: Research, Design, Development and Validation, ed. by Fürstenau, N. (Springer International Publishing, 2016), 2151.Google Scholar
Sultana, W.R., Sahoo, S.K., Sukchai, S., Yamuna, S., and Venkatesh, D., A review on state of art development of model predictive control for renewable energy applications. Renewable and Sustainable Energy Reviews, 76 (2017), 391406.Google Scholar
Microcontroller Market: Global Industry Trends, Share, Size, Growth, Opportunity and Forecast 2020–2025. Available at www.imarcgroup.com.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×