Skip to main content
Log in

WSdesign: a mathematical design method for generating uniform and functionally gradient/hybrid wave springs, fabricated using additive manufacturing processes

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

Design for additive manufacturing (DfAM) enables the design and fabrication of intricate but application-based functionally optimized geometries by reducing the manufacturing time. It also gave unlimited design freedom to alter any specific parameter and regenerate the design with improved mechanical properties. However, designing a complex and application-specific component needs comprehensive knowledge of drawing, intended usage, high expertise, and command of designing software with ample time. Mechanical springs, e.g., wave springs of uniform/complex shaped designs, consume a significant amount of manual hard work. A new design tool, WSdesign, is developed for constructing wave springs of different morphologies with uniform or varying design parameters or a combination of both. A graphical user interface (GUI) was developed in which the user can select the type of wave spring, which can be either uniform, functional gradient, or hybrid with parametric variation defined through Python code. The code is directly run in Autodesk Fusion 360 software which is used to transform that code into a 3D model with all defined features and can be saved in different formats or can be directly printed. Two designs, i.e., rectangular and variable thickness wave springs, were designed each using WSdesign and SolidWorks (manual method), manufactured, and analyzed by performing uniaxial compression testing. The results were compared with each other which were further validated by finite element analysis and found that both design strategies have negligible variations. Furthermore, several designs of complex-shaped wave springs were successfully designed and manufactured using fused deposition modeling (FDM), stereolithography (SLA), and powder bed fusion (MJF) technology with different materials, resulting in a good surface finish, smooth printability, and less dimensional variation, which proves the versatility of WSdesign. In addition, this methodology also enables to design of application-based wave springs for research and industrial usage as per load requirements without having in-depth design expertise and spending much less time.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

Availability of data and materials

Data is available on request from the authors.

References

  1. Burton HE, Eisenstein NM, Lawless BM, Jamshidi P, Segarra MA, Addison O, Shepherd DET, Attallah MM, Grover LM, Cox SC (2019) The design of additively manufactured lattices to increase the functionality of medical implants. Mater Sci Eng C 94:901–908. https://doi.org/10.1016/J.MSEC.2018.10.052

    Article  Google Scholar 

  2. Zhang XZ, Leary M, Tang HP, Song T, Qian M (2018) Selective electron beam manufactured Ti-6Al-4V lattice structures for orthopedic implant applications: current status and outstanding challenges. Curr Opin Solid State Mater Sci 22:75–99. https://doi.org/10.1016/J.COSSMS.2018.05.002

    Article  Google Scholar 

  3. Najmon JC, Raeisi S, Tovar A (2019) Review of additive manufacturing technologies and applications in the aerospace industry. Addit Manuf Aerosp Ind 7–31. https://doi.org/10.1016/B978-0-12-814062-8.00002-9

  4. Helou M, Kara S (2017) Design, analysis and manufacturing of lattice structures: an overview 31:243–261. https://doi.org/10.1080/0951192X.2017.1407456

  5. Chougrani L, Pernot JP, Véron P, Abed S (2019) Parts internal structure definition using non-uniform patterned lattice optimization for mass reduction in additive manufacturing. Eng Comput 35:277–289. https://doi.org/10.1007/S00366-018-0598-2/FIGURES/14

    Article  Google Scholar 

  6. Friedrich H, Schumann S (2001) Research for a “new age of magnesium” in the automotive industry. J Mater Process Technol 117:276–281. https://doi.org/10.1016/S0924-0136(01)00780-4

    Article  Google Scholar 

  7. Nagesha BK, Dhinakaran V, Shree MV, Kumar KM, Chalawadi D, Sathish T (2020) Review on characterization and impacts of the lattice structure in additive manufacturing. Mater Today Proc 21:916–919. https://doi.org/10.1016/J.MATPR.2019.08.158

  8. Yu S, Sun J, Bai J (2019) Investigation of functionally graded TPMS structures fabricated by additive manufacturing. Mater Des 182:108021. https://doi.org/10.1016/J.MATDES.2019.108021

    Article  Google Scholar 

  9. Babamiri BB, Askari H, Hazeli K (2020) Deformation mechanisms and post-yielding behavior of additively manufactured lattice structures. Mater Des 188:108443. https://doi.org/10.1016/J.MATDES.2019.108443

  10. Köhnen P, Haase C, Bültmann J, Ziegler S, Schleifenbaum JH, Bleck W (2018) Mechanical properties and deformation behavior of additively manufactured lattice structures of stainless steel. Mater Des 145:205–217. https://doi.org/10.1016/J.MATDES.2018.02.062

    Article  Google Scholar 

  11. Al-Ketan O, Rowshan R, Al-Rub RK (2018) Topology-mechanical property relationship of 3D printed strut, skeletal, and sheet based periodic metallic cellular materials. Addit Manuf 19:167–183. https://doi.org/10.1016/J.ADDMA.2017.12.006

  12. Daynes S, Feih S, Lu WF, Wei J (2019) Design concepts for generating optimised lattice structures aligned with strain trajectories. Comput Methods Appl Mech Eng 354:689–705. https://doi.org/10.1016/J.CMA.2019.05.053

    Article  MATH  Google Scholar 

  13. Wu J, Wang W, Gao X (2021) Design and optimization of conforming lattice structures. IEEE Trans Vis Comput Graph 27:43–56. https://doi.org/10.1109/TVCG.2019.2938946

    Article  Google Scholar 

  14. SOLIDWORKS. https://www.solidworks.com/

  15. Fusion 360 with Netfabb Get Prices & Buy Netfabb | Autodesk. https://www.autodesk.com/products/netfabb/overview

  16. MATLAB - MathWorks - MATLAB & Simulink. https://www.mathworks.com/products/matlab.html?s_tid=hp_ff_p_matlab

  17. Maskery I, Sturm L, Aremu AO, Panesar A, Williams CB, Tuck CJ, Wildman RD, Ashcroft IA, Hague RJM (2018) Insights into the mechanical properties of several triply periodic minimal surface lattice structures made by polymer additive manufacturing. Polymer (Guildf) 152:62–71. https://doi.org/10.1016/J.POLYMER.2017.11.049

    Article  Google Scholar 

  18. Dong Z, Zhao X (2021) Application of TPMS structure in bone regeneration. Eng Regen 2:154–162. https://doi.org/10.1016/J.ENGREG.2021.09.004

    Article  Google Scholar 

  19. Qureshi ZA, Al-Omari SAB, Elnajjar E, Al-Ketan O, Al-Rub RA (2021) Using triply periodic minimal surfaces (TPMS)-based metal foams structures as skeleton for metal-foam-PCM composites for thermal energy storage and energy management applications. Int Commun Heat Mass Transf 124:105265. https://doi.org/10.1016/J.ICHEATMASSTRANSFER.2021.105265

    Article  Google Scholar 

  20. Catchpole-Smith S, Sélo RRJ, Davis AW, Ashcroft IA, Tuck CJ, Clare A (2019) Thermal conductivity of TPMS lattice structures manufactured via laser powder bed fusion. Addit Manuf 30:100846. https://doi.org/10.1016/J.ADDMA.2019.100846

    Article  Google Scholar 

  21. Al‐Ketan O, Abu Al‐Rub RK (2021) MSLattice: a free software for generating uniform and graded lattices based on triply periodic minimal surfaces. Mater Des Process Commun 3:e205. https://doi.org/10.1002/MDP2.205

  22. Sigmund O (2001) A 99 line topology optimization code written in Matlab. Struct Multidiscip Optim 212.21(2014):120–127. https://doi.org/10.1007/S001580050176

  23. Zhong RY, Xu X, Klotz E, Newman ST (2017) Intelligent manufacturing in the context of industry 4.0: a review. Engineering 3:616–630. https://doi.org/10.1016/J.ENG.2017.05.015

  24. McFarlane D, Sarma S, Chirn JL, Wong CY, Ashton K (2003) Auto ID systems and intelligent manufacturing control. Eng Appl Artif Intell 16:365–376. https://doi.org/10.1016/S0952-1976(03)00077-0

    Article  Google Scholar 

  25. Gibson I, Rosen D, Stucker B, Khorasani M (2021) Software for additive manufacturing. Addit Manuf Technol 491–524. https://doi.org/10.1007/978-3-030-56127-7_17

  26. Jared BH, Aguilo MA, Beghini LL, Boyce BL, Clark BW, Cook A, Kaehr BJ, Robbins J (2017) Additive manufacturing: toward holistic design. Scr Mater 135:141–147. https://doi.org/10.1016/J.SCRIPTAMAT.2017.02.029

    Article  Google Scholar 

  27. Gleadall A (2021) FullControl GCode Designer: open-source software for unconstrained design in additive manufacturing. Addit Manuf 46:102109. https://doi.org/10.1016/J.ADDMA.2021.102109

    Article  Google Scholar 

  28. Rajaguru K, Karthikeyan T, Vijayan V (2020) Additive manufacturing – state of art. Mater Today Proc 21:628–633. https://doi.org/10.1016/J.MATPR.2019.06.728

    Article  Google Scholar 

  29. Blakey-Milner B, Gradl P, Snedden G, Brooks M, Pitot J, Lopez E, Leary M, Berto F, du Plessis A (2021) Metal additive manufacturing in aerospace: a review. Mater Des 209:110008. https://doi.org/10.1016/J.MATDES.2021.110008

  30. Kumar MB, Sathiya P (2021) Methods and materials for additive manufacturing: a critical review on advancements and challenges. Thin-Walled Struct 159:107228. https://doi.org/10.1016/J.TWS.2020.107228

  31. Wave spring vs. coil spring | Smalley. https://www.smalley.com/blog/wave-spring-vs-coil-spring

  32. Top 6 reasons to use a wave spring. https://www.designworldonline.com/top-6-reasons-to-use-a-wave-spring/

  33. Scheuer C, Boot E, Carse N, Clardy A, Gallagher J, Heck S, Marron S, Martinez-Alvarez L, Masarykova D, McMillan P, Murphy F, Steel R, Van Ekdom H, Vecchione H (2021) Disentangling inclusion in physical education lessons: developing a resource toolkit for teachers. pp 343–354. https://www.research.ed.ac.uk/en/publications/disentangling-inclusion-in-physical-education-lessons-developing-

  34. US9039766B1 - Wave spring for a spinal implant - Google Patents. https://patents.google.com/patent/US9039766?oq=wave+spring

  35. ul Haq MR, Nazir A, Jeng JY (2021) Design for additive manufacturing of variable dimension wave springs analyzed using experimental and finite element methods. Addit Manuf 44:102032. https://doi.org/10.1016/J.ADDMA.2021.102032

  36. ulHaq MR, Nazir A, Lin SC, Jeng JY (2021) Parametric investigation of functionally gradient wave springs designed for additive manufacturing. Int J Adv Manuf Technol 1–19. https://doi.org/10.1007/S00170-021-08325-3/FIGURES/22

  37. ulHaq MR, Nazir A, Lin SC, Jeng JY (2022) Investigating the effect of design parameters on the mechanical performance of contact wave springs designed for additive manufacturing. https://Home.Liebertpub.Com/3dp. https://doi.org/10.1089/3DP.2021.0313

  38. Welcome to Python.org. https://www.python.org/

  39. Fusion 360 3D CAD, CAM, CAE & PCB Cloud-Based Software Autodesk. https://www.autodesk.com/products/fusion-360/overview

  40. Visual Studio Code - Code Editing. Redefined. https://code.visualstudio.com/

  41. SOLIDWORKS. https://www.solidworks.com/ (accessed 2 Nov 2021)

  42. BinArshad A, Nazir A, Jeng JY (2022) Design and performance evaluation of multi-helical springs fabricated by multi jet fusion additive manufacturing technology. Int J Adv Manuf Technol 118:195–206. https://doi.org/10.1007/S00170-021-07756-2/FIGURES/13

    Article  Google Scholar 

  43. HP 3D Jet Fusion 4200 - Commercial & Industrial 3D Printer HP Official Site. https://www.hp.com/us-en/printers/3d-printers/products/multi-jet-fusion-4200.html (accessed 11 Nov 2021)

  44. Cai C, Tey WS, Chen J, Zhu W, Liu X, Liu T, Zhao L, Zhou K (2021) Comparative study on 3D printing of polyamide 12 by selective laser sintering and multi jet fusion. J Mater Process Technol 288:116882. https://doi.org/10.1016/J.JMATPROTEC.2020.116882

    Article  Google Scholar 

  45. Designation: F2792 − 12a. https://doi.org/10.1520/F2792-12A

  46. Bartolo PJ. Stereolithography materials, processes and applications. Springer

  47. HP Multi Jet Fusion 3D Printing Technology - Powder 3D Printer HP Official Site. https://www.hp.com/us-en/printers/3d-printers/products/multi-jet-technology.html

  48. O’Connor HJ, Dickson AN, Dowling DP (2018) Evaluation of the mechanical performance of polymer parts fabricated using a production scale multi-jet fusion printing process. Addit Manuf 22:381–387. https://doi.org/10.1016/j.addma.2018.05.035

    Article  Google Scholar 

  49. Habib FN, Iovenitti P, Masood SH, Nikzad M (2018) Fabrication of polymeric lattice structures for optimum energy absorption using multi jet fusion technology. Mater Des 155:86–98. https://doi.org/10.1016/j.matdes.2018.05.059

    Article  Google Scholar 

  50. Fatigue behaviors of different materials for schanz screws in femoral fracture model using finite element analysis | Request PDF. https://www.researchgate.net/publication/274720498_Fatigue_behaviors_of_different_materials_for_schanz_screws_in_femoral_fracture_model_using_finite_element_analysis

  51. Bai J, Song J, Wei J (2019) Tribological and mechanical properties of MoS2 enhanced polyamide 12 for selective laser sintering. J Mater Process Technol 264:382–388. https://doi.org/10.1016/j.jmatprotec.2018.09.026

    Article  Google Scholar 

  52. Wave spring Technology – SPIRA INC. https://spira.com/pages/wavespring-technology

  53. US9039766B1 - Wave spring for a spinal implant - Google Patents. https://patents.google.com/patent/US9039766B1/en

Download references

Funding

This work was financially supported by the High-Speed 3D Printing Research Center (grant no. 108P012) from the Featured Areas Research Center Program within the framework of the Higher Education Sprout Project by the Ministry of Education (MOE) Taiwan.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jeng-Ywan Jeng.

Ethics declarations

Ethics approval

Not applicable.

Consent to participate

Not applicable.

Consent for publication

Not applicable.

Conflict of interest

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Supplementary Information

Below is the link to the electronic supplementary material.

Supplementary file1 (DOCX 24 KB)

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Haq, M.R.u., Nazir, A., Azam, H. et al. WSdesign: a mathematical design method for generating uniform and functionally gradient/hybrid wave springs, fabricated using additive manufacturing processes. Int J Adv Manuf Technol 121, 7763–7778 (2022). https://doi.org/10.1007/s00170-022-09818-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-022-09818-5

Keywords

Navigation