강성 다중점 구속조건이 적용된 기어박스 하우징 해석모델의 효율적인 수치해석을 위한 고성능 차수 감소 모델링의 적용
Abstract
The vibration analysis of a gearbox housing model is essential for the design of an electric vehicle but requires large computational costs. In this study, we applied a high-fidelity reduction technique to analyze the gearbox housing model for an efficient numerical analysis. Moreover, the rigid multi-point constraints (MPCs) were employed to establish a connection between the housing and the internal mechanical parts. A governing equation was established from the Lagrange multiplier-based formulation to unify the reduction process and the application of the rigid MPCs. Furthermore, the dynamic correction technique was applied to the unified reduction process to compensate for the reliability of the reduced model. Consequently, the reduction model had reduced computational costs and high accuracy. Thus, the proposed model that has connection points between the housing and the shaft can be used to reflect the effects of the other gear, shaft and bearing parts on the gearbox housing.
Keywords:
Reduced order modeling, Multi-point constraints, Lagrange multiplier, Dynamic correctionReferences
- Inoue, K., Yamanaka, M., Kihara, M., 2002, Optimum Stiffener Layout for the Reduction of Vibration and Noise of Gearbox Housing, J. Mech. Des., 124:3 518-523. [https://doi.org/10.1115/1.1480817]
- Abbes, M. S., Fakhfakh, T., Haddar, M., 2005, Gearbox Vibratory Analysis using Carring, Coupling, and Slave Substructures, Int. J. Simul. Model., 4:2 67-75. [https://doi.org/10.2507/IJSIMM04(2)2.043]
- Abbes, M. S., Bouaziz, S., Chaari, F., Maatar, M., Haddar, M., 2008, An Acoustic-structural Interaction Modelling for the Evaluation of a Gearbox-radiated Noise, Int. J. Mech. Sci., 50:3 569-577. [https://doi.org/10.1016/j.ijmecsci.2007.08.002]
- Chung, I. S., Kim, J.-G., Chae, S.-W., Park, K. C., 2021, An Iterative Scheme of Flexibility-based Component Mode Synthesis with Higher-order Residual Modal Compensation, Int. J. Numer. Methods Eng., 122:13 3171-3190. [https://doi.org/10.1002/nme.6656]
- Ahn, J.-G., Yang, H.-I., Kim, J.-G., 2020, Multipoint Constraints with Lagrange Multiplier for System Dynamics and its Reduced-order Modeling, AIAA J., 58:1 385-401. [https://doi.org/10.2514/1.J058118]
- Heriman, G. H. K., Desmet, W., 2010, Interface Reduction of Flexible Bodies for Efficient Modeling of Body Flexibility in Multibody Dynamics, Multibody Syst. Dyn., 24:2 219-234. [https://doi.org/10.1007/s11044-010-9198-7]
- Chow, E., Manteuffel, T. A., Tong, C., Wallin, B. K., 2003, Algebraic elimination of slide surface constraints in implicit structural analysis, Int. J. Numer. Methods Eng., 57:8 1129-1144. [https://doi.org/10.1002/nme.720]
- Liu., G. R., Quek, S. S., 2014, The Finite Element Method: A Practical Course, Butterworth-Heinemann, Oxford, UK.
- Kim, J.-G., Lee, P.-S., 2015, An Enhanced Craig-bampton Method, Int. J. Numer. Methods Eng., 103:2 79-93. [https://doi.org/10.1002/nme.4880]
- Chopra, A. K., 2011, Dynamics of Structures, Prentice Hall_Pearson, New Jersey, USA.
M.S-Ph.D integrate course in the Department of Mechanical Engineering, Hanyang University.
His research interest is numerical simulation.
E-mail: kaste@hanyang.ac.kr
Senior Researcher in the Material & Component Convergence R&D Department, Korea Institute of Industrial Technology (KITECH).
His research interests are carbon material, composites, and FEM.
E-mail: jc2@kitech.re.kr
M.S-Ph.D integrate course in the Department of Mechanical Engineering, Hanyang University.
His research interest is numerical simulation.
E-mail: anjonkoul@hanyang.ac.kr
He is a full professor in the Dept. of Mechanical Engineering at Hanyang University ERICA Campus, Korea.
His research fields are Mechanical Design and Optimization, Offshore Structure Design, Welding Process Optimization and Hydrothermal Polymerization.
E-mail: skynet@hanyang.ac.kr