Structural Optimization for Transient Response Constraints with Software JIFEX*

Yuanxian Gu; Biaosong Chen; Hongwu Zhang; Shutian Liu

doi:10.6180/jase.2000.3.3.07

Structural Optimization for Transient Response Constraints with Software JIFEX*

Yuanxian Gu¹, Biaosong Chen¹, Hongwu Zhang¹ and Shutian Liu¹

¹State Key Laboratory of Structural Analysis for Industrial Equipment, Dept. of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China

Received: March 1, 2000
Accepted: September 1, 2000
Publication Date: September 1, 2000

Download Citation: ||https://doi.org/10.6180/jase.2000.3.3.07

ABSTRACT

The numerical methods of the structural design optimization with transient response constraints have been studied in the paper. The new methods of the response analysis and sensitivity analysis for the transient dynamics and the heat conduction constraints with the precise time integration have been proposed. Particularly, an efficient method of sensitivity analysis for nonlinear transient heat conduction is given. The design optimization and finite element analysis for general structures with size and shape variables and multi-type constraints are implemented in the application software JIFEX. Numerical examples have illustrated the effectiveness of the methods presented in the paper and the facility of JIFEX software.

Keywords: structural optimization, sensitivity analysis, transient dynamics, heat transfer, time integration

REFERENCES

[1] Cardona, A., and Idelsohn, S., “Solution of non-linear thermal transient problems by a reduction method,” Int. J. Num. Meth. Eng., Vol.23, 1023-1042(1986).
[2] Dems, K., and Rousselet, B., “Sensitivity Analysis for Transient Heat Conduction in a Solid Body -Part 1: External Boundary Modification, Part II: Interface Modification,” Structural Optimization Vol. 17, 36-45,46-54(1999).
[3] Fung, T. C., “A Precise Time Step Integration method by Step-Response and Impulsive-Response Matrices for Dynamic Problems,” International Journal for Numerical Methods in Engineering, Vol.40, 4501-4527(1997).
[4] Gu, Y. X, and Cheng, G. D., “Structural modeling and sensitivity analysis of shape optimization,” Structural Optimization, Vol.6 (l): 29-37(1993).
[5] Gu, Y. X., and Grandhi, R. V, “Sensitivity Analysis and Optimization of Heat Transfer and Thermal-Structural Designs,” AIAA-98-4746, (1998).
[6] Gu, Y. X., Chen, B. S., and Zhang, H. W., “Precise Time-Integration Method with Dimensional Expanding for Structural Dynamic Equations,” In: Computational Mechanics for the Next Millennium, Wang, C. M., Lee, K. H., Ang, K. K. (Eds.), Elesvier, Amsterdam, 1999, Proc. APCOM'99, Singapore, 1999,475-4
[7] Gu, Y. X., Zhang, H. W., Guan, Z. Q., Kang, Z., Li, Y. P., and Zhong, W. X., “New generation software of structural analysis and design optimization—JIFEX,” Int. J. Struct. Eng. Mech., Vol.7(6), 589-599(1999).
[8] Haftka, R. T., “Calculation of Sensitivity Derivatives in Thermal Problems by Finite differences,” International Journal for Numerical Methods in Engineering, Vol. 17, 1811-1821(1981).
[9] Haftka, R. T., “Techniques for Thermal Sensitivity Analysis,” International Journal for Numerical Methods in Engineering, Vol. 17, 71-80(1981).
[10] Kleiber, M., and Sluzalec, A., “Material Derivative and Control Volume Approaches to Shape Sensitivity Analysis of Nonlinear Transient Thermal Problems,” Structural Optimization, Vol. 11, 56-63(1996).
[11] Kong, X. D., “Precise Time Integration Algorithms of Ordinary Differential Equations and Application in Multibody System Dynamics,” Ph.D. Dissertation, Dalian University of Technology, Dalian, China (1998).
[12] Lewis, R. W., Morgan, K., Thomas, H. R., and Seelharamu, K. N., The Finite Element Method in Heat Transfer Analysis, John Wiley & Sons, New York, (1996).
[13] Lin, J. H., Shen, W. P. and Williams, F. W., “A high precision direct integration scheme for structures subjected to transient dynamic loading,” Computers & Structures, Vol. (56):l, 113-120(1995).
[14] Moler, C. B., and Van loan C. F., “Nineteen Dubious ways to Compute the Exponential of a Matrix,” SIAM Review, 20:pp801-836 (1978).
[15] Tamma, K. K., and Chen, X., “Further Developments Towards A New Virtual-pulse Time Integral Methodology For General Non-linear Transient Thermal Analysis,” Communic. Num. Meth. Eng., Vol. 10, 961-970, (1994).
[16] Tamma, K. K., and Raikar, S. B., “Evaluation and Applicability of Hybrid Transfinite-element formulations with particular reference to radiation,” Numerical Heat Transfer, Part B, Vol. 15, 99-115, (1989).
[17] Thornton, E. A., “Thermal Structures for Aerospace Applications,” AIAA education series, Virginia, 1996.
[18] Tortorelli, D. A., and Haber, R. B., “First-Order Design Sensitivities for Transient Conduction Problems by an Adjoint Method,” International Journal for Numerical Methods in Engineering, Vol.28, 733-752,(1989).
[19] Wood, W. L., Pratical Time-stepping Schemes, Clarendon Press Oxford, (1990).
[20] Yang, H. T., “A Precise Algorithm in the Time Domain to Solve the Problem of Heat Transfer,” Numerical Heat Transfer, Part B, Vol.35, 243-249, (1999).
[21] Zhong, W. X., and Williams, F. W., “A Precise Time Step Integration Method,” J. Mechanical Eng. Sci., Vol-208, 427-430,(1994).
[22] Zhong, W. X., Zhu, J. P., and Zhong, X. X., “On a New Time Integration Method for Solving Time Dependent Partial Differential Equations,” Computational Methods in Applied Mechanics and Engineering, Vol.l30, 163-178(1996).