Pollack Periodica
Volume/Issue:
Volume 17: Issue 2
The mathematical model for lateral stiffness of variable length conical spring
Authors:
Muhammad Safa Al-Din Tahir Department of Computer Engineering Technology, Faculty of Information Technology, Imam Ja’afar Al-sadiq University, Iraq

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https://orcid.org/0000-0003-2144-3348
,
Shakir Sakran Hassan Department of Mechanical Engineering, University of Technology, Baghdad, Iraq

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, and
Jumaa Salman Chiad Department of Mechanical Engineering, University of Al-Nahrain, Iraq

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Pages:
31–35
Online Publication Date:
25 Apr 2022
Publication Date:
07 Jun 2022
Article Category:
Research Article
DOI:
https://doi.org/10.1556/606.2021.00494
Keywords:
conical springs; mathematical model; lateral stiffness
Restricted access

Abstract

One form of energy storage in spring is applying a bending moment and converting it into tilt at the head of the spring as strain energy. The relationship between them is the lateral stiffness of the spring. The aim is to find a mathematical equation for the lateral stiffness of the spring and the effect of the length of the spring on the behavior of stiffness.

The mathematical model is created according to Castigliano’s second theorem. A simulated model of a conical spring is built using a Solid Work program. The theoretical results are compared with the mathematical model for the same conical spring.

Results of both theoretical and simulated models evinced a linear behavior of lateral, while an exponential relationship between the length of the spring and the lateral stiffness is indicated. The difference between theoretical and simulated models is not exceeded 3.2%, which indicates the acceptability of results.

  • [1]

    E. Rodriguez , M. Paredes , and M. Sarto , “Analytical behavior law for a constant pitch conical compression spring,” J. Mech. Des., vol. 128, no. 6, pp. 1352–1356, 2006.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [2]

    M. Paredes and E. Rodriguez , “Optimal design of conical springs,” Eng. Comput., vol. 25, no. 2, pp. 147–154, 2009.

  • [3]

    F. De Crescenzo and P. Salvini , “Influence of coil contact on static behavior of helical compression springs,” IOP Conf. Ser. Mater. Sci. Eng., vol. 1038, 2021, Paper no. 012064.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [4]

    A. N. Chaudhury and D. Datta , “Analysis of prismatic springs of non-circular coil shape and non-prismatic springs of circular coil shape by analytical and finite element methods,” J. Comput. Des. Eng., vol. 4, no. 3, pp. 178–191, 2017.

    • Search Google Scholar
    • Export Citation
  • [5]

    V. Varadharajan , R. Klatzky , B. Unger , R. Swendsen , and R. Hollis , “Haptic rendering and psychophysical evaluation of a virtual three-dimensional helical spring,” in 2008 Symposium on Haptic Interfaces for Virtual Environment and Teleoperator Systems, Reno, NV, USA, March 13-14, 2008, pp. 57–64.

    • Search Google Scholar
    • Export Citation
  • [6]

    Y. P. Jiang , “Lateral stiffness simplified calculation for flexicoil spring with rubber pad on one end of railway locomotive and rolling stock,” Appl. Mech. Mater., vol. 525, no. 2, pp. 214–217, 2014.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [7]

    R. G. Budynas , Advanced Strength and Applied Stress Analysis. McGraw-Hill Science, Engineering & Mathematics, 1977.

  • [8]

    A. P. Boresi , R. J. Schmidt , and O. M. Sidebottom , Advanced Mechanics of Materials. New York: Wiley, 1985.

  • [9]

    A. C. Ugural and S. K. Fenster , Advanced Strength and Applied Elasticity. Pearson Education, 2003.

  • [10]

    R. S. Khurmi and J. K. Gupta , A Textbook of Machine Design. First Multicolour Edition. Eurasia Publishing House Ltd, 2005.

  • [11]

    R. G. Budynas and K. J. Nisbett , Shigley’s Mechanical Engineering Design. Mc Graw Hill, 2015.

  • [12]

    M. F. Ashby and D. Cebon , Materials Selection in Mechanical Design. Butterworth-Heinemann, 2010.

  • [13]

    C. Vulcu , A. Stratan , A. Ciutină , and D. Dubina , “Beam-to-column joints for seismic resistant dual-steel structures,” Pollack Period., vol. 6, no. 2, pp. 49–60, 2011.

    • Crossref
    • Search Google Scholar
    • Export Citation
  • [14]

    V. Cristian , A. Stratan , and D. Dubina , “Numerical simulation of the cyclic loading for welded beam-to-CFT column joints of dual-steel frames,” Pollack Period., vol. 7, no. 2, pp. 35–46, 2012.

    • Crossref
    • Search Google Scholar
    • Export Citation
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  • Expand
Cover Pollack Periodica
Pollack Periodica
Print ISSN:
1788-1994
Online ISSN:
1788-3911

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Editor(s)-in-Chief: Iványi, Amália

Editor(s)-in-Chief: Iványi, Péter

 

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Miklós M. Iványi

Editorial Board

  • Bálint Bachmann (Institute of Architecture, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Jeno Balogh (Department of Civil Engineering Technology, Metropolitan State University of Denver, Denver, Colorado, USA)
  • Radu Bancila (Department of Geotechnical Engineering and Terrestrial Communications Ways, Faculty of Civil Engineering and Architecture, “Politehnica” University Timisoara, Romania)
  • Charalambos C. Baniotopolous (Department of Civil Engineering, Chair of Sustainable Energy Systems, Director of Resilience Centre, School of Engineering, University of Birmingham, U.K.)
  • Oszkar Biro (Graz University of Technology, Institute of Fundamentals and Theory in Electrical Engineering, Austria)
  • Ágnes Borsos (Institute of Architecture, Department of Interior, Applied and Creative Design, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Matteo Bruggi (Dipartimento di Ingegneria Civile e Ambientale, Politecnico di Milano, Italy)
  • Petra Bujňáková (Department of Structures and Bridges, Faculty of Civil Engineering, University of Žilina, Slovakia)
  • Anikó Borbála Csébfalvi (Department of Civil Engineering, Institute of Smart Technology and Engineering, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Mirjana S. Devetaković (Faculty of Architecture, University of Belgrade, Serbia)
  • Szabolcs Fischer (Department of Transport Infrastructure and Water Resources Engineering, Faculty of Architerture, Civil Engineering and Transport Sciences Széchenyi István University, Győr, Hungary)
  • Radomir Folic (Department of Civil Engineering, Faculty of Technical Sciences, University of Novi Sad Serbia)
  • Jana Frankovská (Department of Geotechnics, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Slovakia)
  • János Gyergyák (Department of Architecture and Urban Planning, Institute of Architecture, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Kay Hameyer (Chair in Electromagnetic Energy Conversion, Institute of Electrical Machines, Faculty of Electrical Engineering and Information Technology, RWTH Aachen University, Germany)
  • Elena Helerea (Dept. of Electrical Engineering and Applied Physics, Faculty of Electrical Engineering and Computer Science, Transilvania University of Brasov, Romania)
  • Ákos Hutter (Department of Architecture and Urban Planning, Institute of Architecture, Faculty of Engineering and Information Technolgy, University of Pécs, Hungary)
  • Károly Jármai (Institute of Energy and Chemical Machinery, Faculty of Mechanical Engineering and Informatics, University of Miskolc, Hungary)
  • Teuta Jashari-Kajtazi (Department of Architecture, Faculty of Civil Engineering and Architecture, University of Prishtina, Kosovo)
  • Róbert Kersner (Department of Technical Informatics, Institute of Information and Electrical Technology, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Rita Kiss  (Biomechanical Cooperation Center, Faculty of Mechanical Engineering, Budapest University of Technology and Economics, Budapest, Hungary)
  • István Kistelegdi  (Department of Building Structures and Energy Design, Institute of Architecture, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Stanislav Kmeť (President of University Science Park TECHNICOM, Technical University of Kosice, Slovakia)
  • Imre Kocsis  (Department of Basic Engineering Research, Faculty of Engineering, University of Debrecen, Hungary)
  • László T. Kóczy (Department of Information Sciences, Faculty of Mechanical Engineering, Informatics and Electrical Engineering, University of Győr, Hungary)
  • Dražan Kozak (Faculty of Mechanical Engineering, Josip Juraj Strossmayer University of Osijek, Croatia)
  • György L. Kovács (Department of Technical Informatics, Institute of Information and Electrical Technology, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Balázs Géza Kövesdi (Department of Structural Engineering, Faculty of Civil Engineering, Budapest University of Engineering and Economics, Budapest, Hungary)
  • Tomáš Krejčí (Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic)
  • Jaroslav Kruis (Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic)
  • Miklós Kuczmann (Department of Automations, Faculty of Mechanical Engineering, Informatics and Electrical Engineering, Széchenyi István University, Győr, Hungary)
  • Tibor Kukai (Department of Engineering Studies, Institute of Smart Technology and Engineering, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Maria Jesus Lamela-Rey (Departamento de Construcción e Ingeniería de Fabricación, University of Oviedo, Spain)
  • János Lógó  (Department of Structural Mechanics, Faculty of Civil Engineering, Budapest University of Technology and Economics, Hungary)
  • Carmen Mihaela Lungoci (Faculty of Electrical Engineering and Computer Science, Universitatea Transilvania Brasov, Romania)
  • Frédéric Magoulés (Department of Mathematics and Informatics for Complex Systems, Centrale Supélec, Université Paris Saclay, France)
  • Gabriella Medvegy (Department of Interior, Applied and Creative Design, Institute of Architecture, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Tamás Molnár (Department of Visual Studies, Institute of Architecture, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Ferenc Orbán (Department of Mechanical Engineering, Institute of Smart Technology and Engineering, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Zoltán Orbán (Department of Civil Engineering, Institute of Smart Technology and Engineering, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Dmitrii Rachinskii (Department of Mathematical Sciences, The University of Texas at Dallas, Texas, USA)
  • Chro Radha (Chro Ali Hamaradha) (Sulaimani Polytechnic University, Technical College of Engineering, Department of City Planning, Kurdistan Region, Iraq)
  • Maurizio Repetto (Department of Energy “Galileo Ferraris”, Politecnico di Torino, Italy)
  • Zoltán Sári (Department of Technical Informatics, Institute of Information and Electrical Technology, Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Grzegorz Sierpiński (Department of Transport Systems and Traffic Engineering, Faculty of Transport, Silesian University of Technology, Katowice, Poland)
  • Zoltán Siménfalvi (Institute of Energy and Chemical Machinery, Faculty of Mechanical Engineering and Informatics, University of Miskolc, Hungary)
  • Andrej Šoltész (Department of Hydrology, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, Slovakia)
  • Zsolt Szabó (Faculty of Information Technology and Bionics, Pázmány Péter Catholic University, Hungary)
  • Mykola Sysyn (Chair of Planning and Design of Railway Infrastructure, Institute of Railway Systems and Public Transport, Technical University of Dresden, Germany)
  • András Timár (Faculty of Engineering and Information Technology, University of Pécs, Hungary)
  • Barry H. V. Topping (Heriot-Watt University, UK, Faculty of Engineering and Information Technology, University of Pécs, Hungary)

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2023  
Scopus  
CiteScore 1.5
CiteScore rank Q3 (Civil and Structural Engineering)
SNIP 0.849
Scimago  
SJR index 0.288
SJR Q rank Q3

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