Multidisciplinary Design Optimization Approach for a Small Solid Propellant Launch Vehicle Conceptual Design Using Hybrid Simulated Annealing

Abstract:

Multidisciplinary Design Optimization (MDO) of a two-stage Small Solid Propellant Launch Vehicle (SSPLV) by simulated annealing (SA) Method is investigated. Propulsion, weight, aerodynamic (geometry) and 3degree of freedom (3DOF) trajectory simulation disciplines are used in an appropriate combination. Suitable design variables, technological-functional constraints and minimum launch weight objective function are considered. To handle constraints augmentation of constraints to cost using penalty coefficients are used. Results are compared with gradient-base method that shows the ability of SA to escape local optimums.

• Periodical: Applied Mechanics and Materials (Volumes 110-116)
• Pages: 4765-4771
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.110-116.4765
• Online since: October 2011
• Authors: Masoud Ebrahimi, Jafar Roshanian, Farnaz Barzinpour
• Keywords: Hybrid Method, Launch Vehicle, Multidisciplinary Design Optimization, Simulated Annealing (SA), Solid Propellant

References

[1] Blair J. C., Ryan R. S., Schutzenhofer and L. A., Launch Vehicle Design Process: Characterization, Technical Integration, and Lessons Learned, NASA/TP—2001–210992.

[2] Hammond, W. E., Design Methodologies for Space Transportation Systems, AIAA Inc., (2001).

[3] Wertz, J. R., Economic Model of Reusable vs. Expendable Launch Vehicles, IAF 51st International Astronautical Congress Rio de Janeiro, Brazil Oct. 2–6, (2000).

[4] Isakowitz, S. J., International Reference Guide to Space Launch Systems, 2nd Ed., AIAA Inc., (1995).

[5] Roshanian J., Jodei J., Ebrahimi m., An Automated Approach to Multidisciplinary System Design Optimization of Small Solid Propellant Launch Vehicles, , AIAA conference , china, (2006).

DOI: 10.1109/isscaa.2006.1627501

[6] Roshanian J., Jodei J., Ebrahimi m., Multidisciplinary Design Optimization of a Small Solid Propellant Launch Vehicle Using System Sensitivity Analysis, Structural and Multidisciplinary Optimization journal, Springer , (2009).

DOI: 10.1007/s00158-008-0260-5

[7] Kirkpatrick, S., Gelatt, C. D., and Vechi, M. P., Optimization by Simulated Annealing, Science, Vol. 220, No. 4598, 1983, p.671–680.

DOI: 10.1126/science.220.4598.671

[8] Vanderbilt, D., and Lougie, S. G., AMonte Carlo Simulated Annealing Approach to Optimization over Continous Variables, Journal of Computational Physics, Vol. 56, No. 2, 1984, p.259–271.

DOI: 10.1016/0021-9991(84)90095-0

[9] Corona, A., Marchesi, M., Martini, C., and Ridella, S., Minimizing Multimodal Functions of Continuous Variables with the Simulated Annealing Algorithm, ACM Transactions on Mathematical Software, Vol. 13, No. 3, 1987, p.262–280.

DOI: 10.1145/29380.29864

[10] Siarry, P., Berthian, G., Durbin, F., and Hamesy, J., Enhanced Simulated Annealing for Globally Minimizing Functions of Many Continuous Variables, ACM Transactions on Mathematical Software, Vol. 23, No. 2, 1997, p.209–228.

DOI: 10.1145/264029.264043

[11] Romeijn, H. E., and Smith, R. L., Simulated Annealing for Constrained Global Optimization, Journal of Global Optimization, Vol. 5, No. 2, 1994, p.101–126.

DOI: 10.1007/bf01100688

[12] Belisle, C. J. P., Romeijin, H. E., and Smith, R. L., Hide-and-Seek a Simulated Annealing Algorithm for Global Optimization, Dept. of Industrial and Operations Engineering, Technical Rept. 90-25, Univ. of Michigan, Ann Arbor, MI, Sept. (1990).

[13] Lu, P., and Khan, M. A., Nonsmooth Trajectory Optimization: An Approach Using Continuous Simulated Annealing, Journal of Guidance, Control, and Dynamics, Vol. 17, No. 4, 1994, p.685–691.

DOI: 10.2514/3.21256

[14] Tekinalp, O., and Utalay, S., Simulated Annealing for Missile Trajectory Planning and Multidisciplinary Missile Design Optimization, AIAA Paper 2000-0684, Jan. (2000).

DOI: 10.2514/6.2000-684

[15] Freeman, D., Future Space Transportation System Study, Aerospace America, pp.36-56, June (1983).

[16] Martin, J., Orbit on Demand, Aerospace America, pp.36-61, Feb. (1985).

[17] Freeman, D., Stanley, D., Camarda, C., Lepsch, R., and Cook, S., Single-Stage-To-Orbit: A Step Closer, IAF Paper 94-V3. 534, Oct. (1994).

DOI: 10.1016/0094-5765(95)00087-g

[18] Stanley, D., et al., Rocket-Powered Single-Stage Vehicle Configuration Selection and Design, AIAA Paper 93-1053, Feb. (1993).

[19] Engelund, W., Stanley, D., McMillin, M., and Unal, R., Aerodynamic Configuration Design Using Response Surface Methodology Analysis, AIAA Paper 93-3967, Aug. (1993).

[20] Lepsch, R., Stanley, D., and Unal, R., Dual-Fuel Propulsion in Single-Stage Advanced Manned Launch System Vehicle, Journal of Spacecraft & Rockets, Vol. 32, No. 3, May-June 1995, pp.417-425.

DOI: 10.2514/3.26631

[21] Braun, R., Powell, R., Lepsch, R., Stanley, D., and Kroo, I., Comparison of Two Multidisciplinary Optimization Strategies for Launch Vehicle Design, Journal of Spacecraft & Rockets, Vol. 32, No. 2, Mar. -Apr. 1995, pp.404-410.

DOI: 10.2514/3.26629

[22] Olds, J., System Sensitivity Analysis Applied to the Conceptual Design of a Dual-Fuel Rocket SSTO, AIAA Paper 94-4339, Sept. (1994).

[23] Braun, R. D., Moore, A. A., and Kroo, I. M., Use of Collaborative Optimization Architecture for Launch Vehicle Design, AIAA paper 1996-4018, Sept (1996).

DOI: 10.2514/6.1996-4018

[24] Ebrahimi, R., Rapid Solid Rocket Motor Design Code, MDO Laboratory, Dept. of Aerospace Engineering, K. N. Toosi University of Technology, MDO-LAB-TR121, Feb. (2005).

[25] Mirshams, M., Expendable Launch Vehicle Mass Estimate Relationship, MDO Laboratory, Dept. of Aerospace Engineering, K. N. Toosi University of Technology, MDO-LAB-TR134 Mar. (2005).

[26] Roshanian, J., Trajectory Simulation and Optimization, MDO Laboratory, Dept. of Aerospace Engineering, K. N. Toosi University of Technology, MDO-LAB-TR115, Jan. 2005. 10. 25.

[27] Malyshev V. V., etal., Aerospace Vehicle Control, Modern Theory and Applications, IAE Brazil and MAI Russia Cooperation, (1998).

[28] Rao S. S Engineering Optimization, Theory and Practice , John Wiley and Sons Inc, (1996).