Numerical and Experimental Investigation of Natural Frequency and Damping Coefficient of Flexible Cellular Lattice Structures
محورهای موضوعی : vibration and controlAmir Hosein Samimi 1 , M. R. Karamooz-Ravari 2 , Reza Dehghani 3
1 - Faculty of Mechanical and Materials EngineeringKerman Graduate University of Advanced Technology, Iran
2 - Department of Mechanical Engineering, Graduate University of Advanced Technology, Kerman, Iran
3 - Faculty of Mechanical and Materials EngineeringKerman Graduate University of Advanced Technology, Iran
کلید واژه: Lattice structures, Natural frequency, Finite element, Vibration, Damping,
چکیده مقاله :
Cellular lattice structures encompass a class of metamaterials characterized by the arrangement of interconnected struts and/or plates, offering an adaptable microstructure that enables a broad range of property control. These structures have garnered significant attention for their distinctive properties and have found widespread application across industries such as aerospace, medical, pharmaceutical, automotive, defense and safety. This study seeks to explore the impact of geometric parameters on the natural frequency and damping coefficient of cellular lattice structures. Samples featuring BCC and OCTET architectures with varying porosities were initially produced using fused deposition modeling (FDM). Subsequently, both experimental and numerical analyses were conducted to assess the first natural frequency and damping coefficient of these materials. Comparison of the numerically obtained results with experimental data revealed a strong agreement. The findings indicate that, for both BCC and OCTET lattices, an increase in porosity is associated with a decrease in both natural frequency and damping coefficient.
Cellular lattice structures encompass a class of metamaterials characterized by the arrangement of interconnected struts and/or plates, offering an adaptable microstructure that enables a broad range of property control. These structures have garnered significant attention for their distinctive properties and have found widespread application across industries such as aerospace, medical, pharmaceutical, automotive, defense and safety. This study seeks to explore the impact of geometric parameters on the natural frequency and damping coefficient of cellular lattice structures. Samples featuring BCC and OCTET architectures with varying porosities were initially produced using fused deposition modeling (FDM). Subsequently, both experimental and numerical analyses were conducted to assess the first natural frequency and damping coefficient of these materials. Comparison of the numerically obtained results with experimental data revealed a strong agreement. The findings indicate that, for both BCC and OCTET lattices, an increase in porosity is associated with a decrease in both natural frequency and damping coefficient.
[1] Ashby, M. F., et al., Metal Foams: A Design Guide, Elsevier, 2000.
[2] Banhart, J., Manufacturing Routes for Metallic Foams, Jom, Vol. 52, No. 12, 2000, pp. 22-27.
[3] Meisel, N. A., Williams, C. B., and Druschitz, A., Lightweight Metal Cellular Structures Via Indirect 3D Printing and Casting. in 2012 International Solid Freeform Fabrication Symposium, University of Texas at Austin, 2012.
[4] Scalzo, F., Totis, G., and Sortino, M., Influence of the Experimental Setup on the Damping Properties of SLM Lattice Structures. Experimental Mechanics, Vol. 63, No. 1, 2023, pp. 15-28.
[5] Scalzo, F., et al., Experimental Study on The High-Damping Properties of Metallic Lattice Structures Obtained from SLM, Precision Engineering, Vol. 71, 2021, pp. 63-77.
[6] Syam, W. P., et al., Design and Analysis of Strut-Based Lattice Structures for Vibration Isolation, Precision Engineering, Vol. 52, 2018, pp. 494-506.
[7] Samimi, A. H., Karamooz-Ravari, M. R., and Dehghani, R., Investigation of the Effects of Dimensional Inaccuracies on the First Natural Frequency of Cellular Lattice Structures, ADMT Journal, Vol. 15, No. 3, 2022, pp. 109-117.
[8] Døssing, O., Structural Testing: Modal Analysis and Simulation, Brüel & Kjær (Ed.), Vol. 2. 1988.
[9] Brown, D. L., Passing the Torch-Structural Dynamics/Modal Analysis from Here to Sound and Vibration, Vol. 34, No. 1, 2000, pp. 6-7.
[10] Fu, Z. F., He, J., Modal Analysis, Elsevier, 2001.
[11] Dong, G., Zhao, Y. F., Numerical and Experimental Investigation of The Joint Stiffness in Lattice Structures Fabricated by Additive Manufacturing, International Journal of Mechanical Sciences, Vol. 148, 2018, pp. 475-485.
[12] Kim, H. Y., Hwang, W., Effect of Debonding on Natural Frequencies and Frequency Response Functions of Honeycomb Sandwich Beams, Composite Structures, Vol. 55, No. 1, 2002, pp. 51-62.
[13] Lou, J., et al., Free Vibration Analysis of Lattice Sandwich Beams Under Several Typical Boundary Conditions, Acta Mechanica Solida Sinica, Vol. 26, No. 5, 2013, pp. 458-467.
[14] Monkova, K., et al., Mechanical Vibration Damping and Compression Properties of a Lattice Structure, Materials, Vol. 14, No. 6, 2021, pp. 1502.
[15] Niu, B., Yan, J., and Cheng, G., Optimum Structure with Homogeneous Optimum Cellular Material for Maximum Fundamental Frequency, Structural and Multidisciplinary Optimization, Vol. 39, No. 2, 2009, pp. 115-132.
[16] Lopatin, A., Morozov, E., and Shatov, A., An Analytical Expression for Fundamental Frequency of The Composite Lattice Cylindrical Shell with Clamped Edges, Composite Structures, Vol. 141, 2016 pp. 232-239.
[17] Lou, J., Ma, L., and Wu, L. Z., Free Vibration Analysis of Simply Supported Sandwich Beams with Lattice Truss Core, Materials Science and Engineering: B, Vol. 177, No. 19, 2012, pp. 1712-1716.
[18] Xu, M., Qiu, Z., Free Vibration Analysis and Optimization of Composite Lattice Truss Core Sandwich Beams with Interval Parameters. Composite Structures, Vol. 106, 2013, pp. 85-95.
[19] Azmi, M. S., et al. Vibration Analysis of FDM Printed Lattice Structure Bar, In Proceedings of SAKURA Symposium on Mechanical Science and Engineering, 2017.
[20] Andresen, S., Bäger, A., and Hamm, C., Eigenfrequency Maximisation by Using Irregular Lattice Structures, Journal of Sound and Vibration, Vol. 465, 2020, pp. 115027.
[21] Braun, M., vanez, I., and Aranda-Ruiz, J., Numerical Analysis of the Dynamic Frequency Responses of Damaged Micro-Lattice Core Sandwich Plates, The Journal of Strain Analysis for Engineering Design, Vol. 55, No. 1-2, 2020, pp. 31-41.
[22] Yi, R., et al., Axial Elastic Wave Propagation Characteristics of Pyramid Lattice Cylindrical Structure, Chinese Journal of Theoretical and Applied Mechanics, Vol. 54, No. 10, 2022, pp. 2717.
[23] Tempelman, J. R., et al., Experimental Investigations into Broadband Vibration Absorption of Metastructures with Lattice Designs. in ASME 2019 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, 2019.
[24] Wei, Y., et al., Damping Behaviors of Steel-Based Kelvin Lattice Structures Fabricated by Indirect Additive Manufacture Combining Investment Casting, Smart Materials and Structures, Vol. 29, 2020, pp. 055001.
[25] Zhang, C., et al., Vibration Characteristics of Additive Manufactured IWP-type TPMS Lattice Structures, Composite Structures, Vol. 327, 2024, pp. 117642.
[26] Liu, X., Gao, L., and Xiao, M. Multiscale Topology Optimization Framework for Natural Frequency Maximization of Multi-Morphology Lattice Structures, Composite Structures, Vol. 328, 2024, pp. 117720.
[27] Maconachie, T., et al., SLM Lattice Structures: Properties, Performance, Applications and Challenges, Materials & Design, Vol. 183, 2019, pp. 108137.
[28] Phani, A. S. and Hussein, M. I., Dynamics of Lattice Materials, Wiley, 2017.
