Skip to main content
SpringerLink
Log in

A New Molecular Approach for Creative Design of Multiloop Linkages and Planetary Gear Mechanisms via Novel NTG-Graph Representation

  • Conference paper
  • First Online:
Advances in Mechanical Engineering (MMESE 2023)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 77 Accesses

Abstract

This paper presents totality an extended structural mathematical model and technique forming the K-atom molecule as novel graph representation of closed kinematic chain and set of a new universal mobility equations inferred a tool for creation any types of F-DOF planar and spatial mechanisms without injurious redundant constraints. Various examples of creative design the F-DOF self-aligning linkages in form invention and multisatellite planetary gear train are provided and confirms the effectiveness of proposed approach.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Crossley, F.R.E.: A contribution to Gruebler’s theory in the number synthesis of plane mechanisms. J. End. Ind. Tr. ASME 86, 1–8 (1964)

    Article  Google Scholar 

  2. Kozhevnikov, S.N. Structure and dynamics of statically indeterminate mechanisms. New York, ASME Publications: 74-Det-104 (1974)

    Google Scholar 

  3. Smelyagin A.I. Quality and quantity synthesis of machines and mechanisms. In.: 13th Int. Symposium on science and technology KORUS. Novosibirsk, NTSU, 351–355 (1999)

    Google Scholar 

  4. Peisakh E.E. An algorithmic description of the structural synthesis of planar Assur group. J. of Mach. Manuf. And Reliability. Allerton Press, Inc. 36 (6), 505–514 (2007)

    Google Scholar 

  5. Glazunov, V.A., Filipov, G.S., Rashoyan G.V. 5-DOF mechanism for vertebral surgery. Advances in mechanism and Mechanism and Machine Sience. Proceeding of 15th IFToMM WC-2019. Cham: Springer, vol. 73, 1741–1749 (2019)

    Google Scholar 

  6. Evgrafov, A.N., Petrov, G.N. Computer simulation of mechanisms. In: Evgrafov, A.N. (eds.) Advances in Mechanical Engineering. MMSE-2016. LNME: 45–56. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-53363-6 6

  7. Pozhbelko, V.I.: A unified structure theory of multibody open-, closed-, and mixed-loop mechanical systems with simple and multiple joint linematic chains. Mech. Mach. Theory 100(6), 1–6 (2016)

    Article  Google Scholar 

  8. Pozhbelko, V.I.: Advanced technique of type synthesis and construction of veritable complete atlases of multiloop F-DOF generalized kinematic chains. EuCoMes 2018. Mechanisms and machine Science. Cham: Springer, 59. 207–214 (2019)

    Google Scholar 

  9. Pozhbelko, V.I.: Type synthesis method of planar and spherical mechanisms using the universal structural table with all possible link assortments. Advances in Mechanisms and Machine Science. Proceedings of the 15th IFToMM WC-2019. Cham: Springer, vol. 73, 1517–1529 (2019)

    Google Scholar 

  10. Pozhbelko, V.I.: A method for solution of isomorphism or metamorphism task on structural synthesis of complicated multiloop mechanical system. Theory of Mechanisms and Mashines. TMM. SPBSTU. RU, 13, №1(25): 23–38 (2015)

    Google Scholar 

  11. Gogu, G.: Mobility of mechanisms: a critical revier. Mech. Mach. Theory 40, 1068–1097 (2005)

    Google Scholar 

  12. Hahn, E., Sljoka, A. Mueller, A.: Applications of constraint graphs and Assur Group in mechanism analysis and synthesis. In: ASME Int. Design Eng. IDET/CIE, USA: 1–8 (2017)

    Google Scholar 

  13. Ding, H.F., Hou, F.M., Kecskemethy, A.: Synthesis of the whole family of the 1-DOF kinematic chains. Mech. Mach. Theory 47, 1–15 (2012)

    Article  Google Scholar 

  14. Yan, H.-S., Chiu, Y.-T.: On the number synthesis of kinematic chains. Mech. Mach. Theory 89(9), 128–144 (2015)

    Article  Google Scholar 

  15. Simony, R., Carbony, A.P., Martins, D. Enumeration of parallel manipulators. Robotica 27, Cambridge University Press: 589–597 (2008)

    Google Scholar 

  16. Sun, W.A.: A joint-joint matrix representation of planar kinematic chains. Adv. Mech. Eng. 10, 1–10 (2018)

    Article  Google Scholar 

  17. Kuts, E.N., Pozhbelko, V.I.: A new structural synthesis method of multiloop linkage mechanisms with multiple joints. In: Evgrafov A.N. (eds.) advances in Mechanical Engineering. MMSE-2022. LNME: 109–119. Springer, Cham (2023). https://doi.org/10.1007/978-3-031-30027-1 13

  18. Pozhbelko, V.I.: Platform mechanism for relative manipulations. RU Patent for the invention No. 2758391 C1. Bull. No. 31 (2021)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. South Ural State University (National Research University), Chelyabinsk, Russia

    Vladimir I. Pozhbelko

Authors
  1. Vladimir I. Pozhbelko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Vladimir I. Pozhbelko .

Editor information

Editors and Affiliations

  1. Peter the Great Saint Petersburg Polytechnic University, Saint Petersburg, Russia

    Alexander N. Evgrafov

Rights and permissions

Reprints and permissions

Copyright information

© 2024 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Pozhbelko, V.I. (2024). A New Molecular Approach for Creative Design of Multiloop Linkages and Planetary Gear Mechanisms via Novel NTG-Graph Representation. In: Evgrafov, A.N. (eds) Advances in Mechanical Engineering. MMESE 2023. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-031-48851-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-48851-1_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-48850-4

  • Online ISBN: 978-3-031-48851-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation