Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-m9kch Total loading time: 0 Render date: 2024-06-08T10:11:40.725Z Has data issue: false hasContentIssue false

4 - The Type and Number Synthesis of Function-Generating Mechanisms

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

Structural design is another strategic point in developing a vibration protection system with mechanisms of negative and quasi-zero stiffness. Missing this stage of the design and errors in designing the structure of mechanisms predisposed to unstable motion can ruin the development idea. A method of structural design of function-generating mechanisms for such systems is proposed. This includes the type and number synthesis of the mechanisms, making this process less empirical and more reasonable and bringing a great number of new candidates. The atlases of the mechanisms for seat suspensions and bogie secondary suspensions for carbody of high-speed trains are elaborated. The method fundamentals are (a) the function-generating mechanism is to be perfectly structured, that is, with a minimal number of redundant constraints; (b) due to unstable motion and transposition of clearances in kinematic pairs, the mechanism with negative stiffness must not directly join the input and output structural elements of function-generating mechanism to avoid structural indeterminacy; (c) mechanisms with negative stiffness shall be joined to the input structural element, and with no more than two kinematic pairs, one of these two is to be higher; (d) an external damping mechanism can be removed from function-generating mechanisms without degradation of the system performance.

Type
Chapter
Information
Vibration Protection Systems
Negative and Quasi-Zero Stiffness
, pp. 85 - 115
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

Dasgupta, A., Type identification and mobility analysis of spatial parallel manipulators. Mechanism and Machine Theory, 37 (2002), 12871306.CrossRefGoogle Scholar
Frolov, K.V., Theory of Mechanisms and Machines (Moscow: Nauka, 1987). In Russian.Google Scholar
Freudenstein, F. and Sandor, G.N., Kinematics of mechanisms. In Mechanical Design and Systems Handbook, ed. Rothbart, H.A., 2nd ed. (New York: McGraw-Hill, 1985), 468.Google Scholar
Andreytchykov, A.V., An intellectual decision-making system under uncertainty. Problems of Machine Science and Safety, 4 (2002), 310. In Russian.Google Scholar
Chiou, S.-J. and Kota, S., Automated conceptual design of mechanisms. Mechanism and Machine Theory, 34 (1999), 467495.Google Scholar
Gutkowski, W., ed., Discrete Structural Optimization, CISM Book Series 373 (Vienna: Springer, 1997).Google Scholar
Ungar, E.E. and Pirsons, K.S., New constant force spring systems. Product Engineering, 27 (1961), 3234.Google Scholar
Pakhomov, M.P., Structure, Design, and Operation of Jumping Springs (Omsk, Russia: Omsk Transport University, 1983). In Russian.Google Scholar
Chyuprakov, Y.I., Hydraulic Systems for Whole-Body Vibration Isolation (Moscow: Engineering, 1987). In Russian.Google Scholar
Alabuzhev, P.M., Kim, L.I., Grytchine, A.A., Migirenko, G.S., Khon, V.F., and Stepanov, P.T., Vibration Protecting and Measuring Systems with Quasi-Zero Stiffness (New York: Taylor and Francis, 1989).Google Scholar
Yurjev, G.S., Vibration Isolation of Precision Instrument (Novosibirsk, Russia: Budker Institute of Nuclear Physics SB RAS, 1989). In Russian.Google Scholar
Zyuev, A.K. and Lebedev, O.N., Highly Effective Vibration Isolation of Ship Equipment (Novosibirsk, Russia: State Academy of Water Transport, 1997). In Russian.Google Scholar
Rivin, E.I., Passive Vibration Isolation (New York: Taylor and Francis, 2003).Google Scholar
Notash, L. and Huang, L., On the design of fault tolerant parallel manipulators. Mechanism and Machine Theory, 38 (2003), 85101.Google Scholar
Goverdovskiy, V.N. and Lee, C.-M., A method of stiffness control in a vibration isolating mechanism for a man-operator’s compact seat, RU Patent 2214335, 2003.Google Scholar
Lee, C.-M. and Goverdovskiy, V.N., Type synthesis of function-generating mechanisms for seat suspensions. International Journal of Automotive Technology, 10 (2009), 3748.Google Scholar
Goverdovskiy, V.N., Lee, C.-M., Shutov, A.V., and Larichkin, A.Y., Vibration protection systems with extremely small stiffness and damping: intelligent structural design and dimensioning. In Proceedings the 25th International Congress on Sound and Vibration (Hiroshima, Japan, 2018), 10481055.Google Scholar
Lee, C.-M. and Goverdovskiy, V.N., Intelligent structural design of transport pneumatic suspensions with extreme characteristics. International Journal of Automotive Technology, 20 (2019), 110.Google Scholar
Angeles, F. and Angeles, J., Synthesis of function-generating linkages with minimax structural error: the linear case. In Proceedings the 13th IFToMM World Congress (Guanajuato, Mexico 19–23 June 2011), 1 (2011), 427432.Google Scholar
Guigue, A. and Hayes, M.J.D., Continuous approximate synthesis of planar function-generators minimising the design error. Mechanism and Machine Theory, 101 (2016), 158167.CrossRefGoogle Scholar
Müller, A., López-Custodio, P.C., and Dai, J.S., Identification of non-transversal motion bifurcations of linkages. Journal of Mechanisms and Robotics, 2 (2021), 1–7.Google Scholar
Peisah, E.E. and Nesterov, V.A., A System of Structural Design of Planar Linkages (Moscow: Engineering, 1988). In Russian.Google Scholar
Uicker, J.J. Jr., Pennock, G.R., and Shigley, J.E., Theory of Machines and Mechanisms, 5th ed. (New York: Oxford University Press, 2017).Google Scholar
Luck, K. and Modler, K.-H., Synthesis of guidance mechanisms. Journal of Mechanism and Machine Theory, 29 (1994), 525533.Google Scholar
Iwnicki, S., ed., Handbook of Railway Vehicle Dynamics (Boca Raton, FL: CRC Press/Taylor and Francis, 2006).CrossRefGoogle Scholar
Baur, K.G., Drehgestelle – Bogies (Freiburg, Germany: EK, 2009).Google Scholar
Lee, C.-M., Goverdovskiy, V.N., Sim, C.-S., and Lee, J.-H., Ride comfort of a high-speed train through the structural upgrade of a bogie suspension. Journal of Sound and Vibration, 361 (2016), 99107.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org 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
×