Shape optimization of lower control arm considering multi-disciplinary constraint condition by using progress meta-model method
Tóm tắt
This paper presents shape optimization of lower control arm considering multi-disciplinary (stiffness, strength and durability) constraint conditions. As non-linearity of strength and durability is large out of the design constraint conditions and performance indexes are defined as min-max values, sensitivity is not reflected and instead, a sequential approximate optimization (SAO) method using a meta-model is suggested. In order to verify the efficiency of the suggested design method, shape optimization design of a 1 piece-typed lower control arm for compact cars is conducted. The design target aims to meet the multi-disciplinary (stiffness, strength and durability) design constraint conditions and at the same time, intends to minimize the weight. Design variables are 3 shape vectors and 1 thickness while design constraint conditions include 2 stiffness, 12 strength and 26 durability variables, featuring a big design problem. As a result, the design problem is solved in total 3 interation and the optimal model meets all of the design constraint conditions and reduces the weight by about 200 grams comparing with that of the initial model. Thus, the suggested design method is an appropriate method suitable for shape optimization design.
Tài liệu tham khảo
Choi, B. LH., Choi, J. H. and Choi, D. H. (2004). Reliabilitybased design optimization of automotive suspension systems for enhanced kinematics and compliance characteristics. Int. J. Automotive Engineering 6,3, 235–242.
Chun, H. H., Kwon, S. J. and Tak, T. (2007). Reliabilitybased design optimization of automotive suspension systems. Int. J. Automotive Engineering 8,6, 713–722.
Gregoire, A. and Eric, B. (1997). Shape optimization by the homogenization method. Numerische Mathematik, 76, 27–68.
Hannes, F. and Richard, S. (2011). Lightweight MacPherson strut suspension front lower control arm design development. SAE Paper No. 2011-01-0562.
Hussain, M. F., Barton, R. R. and Joshi, S. B. (2002). Meta modeling: Radial basis function versus polynominals. European J. Operational Research, 138, 142–154.
Jin, R., Chen, W. and Simpson, T. W. (2001). Comparative studies of meta modeling techniques under multiple modeling criteria. Struct. Multidisc. Optim., 23, 1–13.
Kang, B. J., Sin, H. C. and Kim, J. H. (2007). Optimal shape design of the front wheel lower control arm considering dynamic effects. Int. J. Automotive Technology 8,3, 309–317.
Kim, M. S. (2008). User’s Guide for AutoDesign, RecurDyn V7R2. FunctionBay Inc.
Kim, M. S. (2009a). Integrated Numerical Optimization Library: E-INOPL. Institute of Design Optimization Inc.
Kim, M. S. (2009b). Integrated Numerical Optimization Library: B-INOPL. Institute of Design Optimization Inc.
Kim, M. S. and Choi, D. H. (2001). Direct treatment of a max-value cost fuction in parametric optimization. Int. J. Numerical Method in Engineering, 50, 169–180.
Kim, M. S. and Heo, S. J. (2003). Conservative quadratic RSM combined with incomplete small composite design and conservative least squares fitting. KSME Int. J. 17,5, 698–707.
Kim, M. S., Cho, H. J., Lee, S. G., Choi, J. H. and Bae, D. S. (2007). DFSS and robust design optimization tool for multibody system with random variables. J. System Design and Dynamics 1,3, 583–592.
Kim, M. S., Kim, C. W., Kim, J. H. and Choi, J. H. (2008). Efficient optimization method for noisy responses of mechanical systems. J. Mechanical Engineering Science, 222, C, 2433–2439.
Lee, D. H., Park, Y. C. and Huh, S. C. (2003). Multiobjective optimization of lower control arm considering the stability for weight reduction. Trans. Korean Society of Automotive Engineers 11,4, 94–101.
Masatoshi, S. and Jiro, T. (2007). Shape optimization for weight reduction of automotive shell structures subject to a strength constraint. SAE Paper No. 2007-01-3720.
Murali, M. R. and Scott, V. A. (2000). Shape optimization application in upper control arm design. SAE Paper No. 2000-01-3445.
Park, H. S., Kim, J. K. and Seo, S. M. (2009). Structural design of a front lower control arm considering durability. J. Korean Society of Manufacturing Process Engineers 8,4, 69–75.
Tang, P. S. and Chang, K. H. (2001). Integration of topology and shape optimization for design of structural components. Industrial Applications and Design Cases Studies, Struct Multidisc Opti., 22, 65–82.
Wang, J. G. and Liu, G. R. (2002). A point interpolation meshless method based on radial basis functions. Int. J. Numerical Method in Engineering, 54, 1623–1648.