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Article

Design and Investigation of Mechanical Properties of Additively Manufactured Novel Coil-Shaped Wave Springs

by
Gul Jamil Shah
1,2,
Muhammad Rizwan ul Haq
2,3,* and
Jeng-Ywan Jeng
1,2
1
Department of Mechanical Engineering, National Taiwan University of Science and Technology, No. 43, Section 4, Keelung Road, Taipei 106, Taiwan
2
High-Speed 3D Printing Research Center, National Taiwan University of Science and Technology, No. 43, Section 4, Keelung Road, Taipei 106, Taiwan
3
Department of Design and Manufacturing Engineering (DME), School of Mechanical and Manufacturing Engineering (SMME), National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan
*
Author to whom correspondence should be addressed.
Appl. Mech. 2025, 6(3), 61; https://doi.org/10.3390/applmech6030061
Submission received: 2 July 2025 / Revised: 8 August 2025 / Accepted: 11 August 2025 / Published: 14 August 2025

Abstract

Additive Manufacturing (AM) has revolutionized the production of intricate geometries tailored to customized functional mechanical properties, making it widely adopted across various industries, including aerospace, automotive, and biomedical sectors. However, the fabrication of mechanical springs has remained largely constrained by conventional manufacturing techniques, which limit their cross-sectional geometries to regular shapes, thereby restricting their mechanical performance and energy absorption capabilities. This limitation poses a significant challenge in applications where enhanced load-bearing capacity, energy absorption, and tailored stiffness characteristics are required. To address this issue, this study investigates the influence of coil shape on the mechanical properties of wave springs, specifically focusing on load-bearing capacity, energy absorption, stiffness, and compression behavior during cyclic loading and unloading. Nine contact-type wave springs with distinct coil shapes—square, rectangular, pentagonal, hexagonal, heptagonal, octagonal, quadro, circular (4 waves per coil), and circular (6 waves per coil)—were designed and fabricated using MultiJet Fusion (MJF) technology. Uni-axial compression testing was conducted over ten loading–unloading cycles to evaluate their mechanical performance and deformation characteristics. The results indicate that wave springs with square and rectangular coil shapes exhibit the highest energy absorption while maintaining the lowest stiffness and minimal energy loss during the first ten loading–unloading cycles. Furthermore, experimental findings were validated using finite element analysis (FEA) under identical boundary conditions, demonstrating close agreement with a deviation of only 2.3% compared with the experimental results. These results highlight AM’s potential for customizing wave springs with optimized mechanical performance.
Keywords: additive manufacturing; non-circular coils; wave springs; FEA; energy absorption additive manufacturing; non-circular coils; wave springs; FEA; energy absorption

Share and Cite

MDPI and ACS Style

Shah, G.J.; Haq, M.R.u.; Jeng, J.-Y. Design and Investigation of Mechanical Properties of Additively Manufactured Novel Coil-Shaped Wave Springs. Appl. Mech. 2025, 6, 61. https://doi.org/10.3390/applmech6030061

AMA Style

Shah GJ, Haq MRu, Jeng J-Y. Design and Investigation of Mechanical Properties of Additively Manufactured Novel Coil-Shaped Wave Springs. Applied Mechanics. 2025; 6(3):61. https://doi.org/10.3390/applmech6030061

Chicago/Turabian Style

Shah, Gul Jamil, Muhammad Rizwan ul Haq, and Jeng-Ywan Jeng. 2025. "Design and Investigation of Mechanical Properties of Additively Manufactured Novel Coil-Shaped Wave Springs" Applied Mechanics 6, no. 3: 61. https://doi.org/10.3390/applmech6030061

APA Style

Shah, G. J., Haq, M. R. u., & Jeng, J.-Y. (2025). Design and Investigation of Mechanical Properties of Additively Manufactured Novel Coil-Shaped Wave Springs. Applied Mechanics, 6(3), 61. https://doi.org/10.3390/applmech6030061

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