Comparative Computational Modal Analysis of Uniform and Tapered Plates
DOI:
https://doi.org/10.24191/jaeds.v4i2.81Keywords:
Thickness variation, structural plates, vibrational behaviour, finite element analysisAbstract
Thickness variation in structures has significant influence in their structural properties which makes it as an important consideration in engineering design. Varying thickness profile has gained many attention in its application due to the potential to optimise performance and reduce material usage. However, the impact of these thickness variations on modal behaviour of structures has not been fully understood. This study aims to investigate the effects of thickness variation on the modal properties of structural plates. Two plates with different configuration were modelled in MSC.Nastrab/Patran Software in which one plate has uniform thickness while the other has tapered thickness. Finite element modal analysis was performed to determine the natural frequencies and mode shapes of both plates. The results revealed that the plate with varying thickness has lower natural frequencies and its mode shapes are more complex and asymmetric compared to the plates with uniform thickness. These findings suggest that thickness variation can significantly alter the vibrational characteristics of structures which is important in design optimization of applications such as automotive and aerospace engineering.
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P.R. Sarkar, A.S. Rahman, Finite-Difference Analysis of Stresses of a Non-Uniform Functionally Graded Material Circular Disk Rotating in the Magneto-Thermal Environment: An Equal Mass Study, Proc. Inst. Mech. Eng. Part L J. Mater. Des. Appl. 237 (2022) 301–316. https://doi.org/10.1177/14644207221111292.
R. Madan, S. Bhowmick, A Numerical Solution to Thermo‐mechanical Behavior of Temperature Dependent Rotating Functionally Graded Annulus Disks, Aircr. Eng. Aerosp. Technol. 93 (2021) 733–744. https://doi.org/10.1108/aeat-01-2021-0012.
H. Meng, W. Dou, Multi-Objective Optimization of Radome Performance With the Structure of Local Uniform Thickness, Ieice Electron. Express. 5 (2008) 882–887. https://doi.org/10.1587/elex.5.882.
Z. Yuan, L. Geng, N. Wang, T. Wu, W. Qi, Y. Dai, J. Huang, Topology Optimization Method of Stamping Structures Based on the Directional Density Field, Materials (Basel). 17 (2024) 656. https://doi.org/10.3390/ma17030656.
H. Li, D. Wang, H. Zhang, X. Wang, Z. Qin, Z. Guan, Optimal design of vibro-impact resistant fiber reinforced composite plates with polyurea coating, Compos. Struct. 292 (2022) 115680. https://doi.org/https://doi.org/10.1016/j.compstruct.2022.115680.
R. Lal, R. Saini, Vibration analysis of functionally graded circular plates of variable thickness under thermal environment by generalized differential quadrature method, J. Vib. Control. 26 (2019) 73–87. https://doi.org/10.1177/1077546319876389.
A. Deka, D. Datta, Optimum Annular Plane Fin Profile with Uniformly Varying Thickness, in: L. Vijayaraghavan, K.H. Reddy, S.M. Jameel Basha (Eds.), Lect. Notes Mech. Eng., Springer Singapore, Singapore, 2020: pp. 427–435. https://doi.org/10.1007/978-981-32-9931-3_41.
A. Baroutaji, A. Arjunan, M. Stanford, J. Robinson, A.G. Olabi, Deformation and Energy Absorption of Additively Manufactured Functionally Graded Thickness Thin-Walled Circular Tubes Under Lateral Crushing, Eng. Struct. 226 (2021) 111324. https://doi.org/10.1016/j.engstruct.2020.111324.
J. Xu, Y.B. Li, X. Chen, D.Y. Ge, B.H. Liu, M. Zhu, T. Park, Automotive Windshield — Pedestrian Head Impact: Energy Absorption Capability of Interlayer Material, Int. J. Automot. Technol. 12 (2011) 687–695. https://doi.org/10.1007/s12239-011-0080-2.
Y. Shu, J. Ren, W. Zhang, W. Liu, Gradient Thickness-Dependent Distribution of Residual Stress and Springback of Thin-Walled TC4 Titanium Alloy Sheet With Variable Thickness in Collaborative Manufacturing Process of Pre-Plastic Forming and Milling, (2024). https://doi.org/10.21203/rs.3.rs-4308626/v1.
G. Yao, C.K. Mechefske, B.K. Rutt, Characterization of Vibration and Acoustic Noise in a Gradient-Coil Insert, Magn. Reson. Mater. Phys. Biol. Med. 17 (2004) 12–27. https://doi.org/10.1007/s10334-004-0041-0.
N.A.Z.Z. Abdullah, M.N.A.M. Asri, M.S.M.S.M. Sani, Strategies of Finite Element Modeling for Spot Welded Joints and its Modal Correlation with Experimental Data, Int. J. Automot. Mech. Eng. 19 (2022) 9543–9550. https://doi.org/10.15282/ijame.19.1.2022.17.0736.
Y.N. Aydın, T.B. Korkut, O. Ozaydin, E. Armakan, G. Sarı, A. Goren, Numerical and Experimental Modal Analysis of Wheels of Solaris 10 Solar Car and Parametric Design of Lightweight EV Wheel, Deu Muhendis. Fak. Fen Ve Muhendis. 23 (2021) 689–699. https://doi.org/10.21205/deufmd.2021236829.
N.A.Z. Abdullah, M.S.M. Fouzi, M.S.M. Sani, Computational modal analysis on finite element model of body-in-white structure and its correlation with experimental data, Int. J. Automot. Mech. Eng. 17 (2020) 7915–7926. https://doi.org/10.15282/ijame.17.2.2020.10.0591.
S. Chai, S.W. Yang, Z.Q. Wang, Y.X. Hao, W. Zhang, Variable Stiffness and Free Vibration Analysis of Cylindrically Curved Plate with Variable Thickness Graphene Reinforced Porous Material, J. Vib. Eng. Technol. (2024). https://doi.org/10.1007/s42417-024-01451-8.
E.B. Magrab, Thin Beams: Natural Frequencies and Mode Shapes, in: E.B. Magrab (Ed.), Springer Nature Switzerland, Cham, 2024: pp. 67–182. https://doi.org/10.1007/978-3-031-52102-7_3.
K. He, W.D. Zhu, Modeling of Fillets in Thin-Walled Beams Using Shell/Plate and Beam Finite Elements, J. Vib. Acoust. 131 (2009) 0510021–05100216. https://doi.org/10.1115/1.3142879.
A. Sinha, A New Approach to Compute Natural Frequencies and Mode Shapes of One-Dimensional Continuous Structures With Arbitrary Nonuniformities, J. Comput. Nonlinear Dyn. 15 (2020). https://doi.org/10.1115/1.4048360.
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