Abstract
Aiming at the multidisciplinary coupling problem in the design of hypersonic vehicles, especially a series of effects caused by the coupling of aerodynamic heat and structural strength, the development of a multidisciplinary coupling analysis and optimization algorithm has become a key issue in the design process of hypersonic vehicles. To reduce the huge computational cost of multidisciplinary coupling analysis in the process of design optimization, the multifield coupling relationship is analyzed, and a simplified multifield coupling analysis process for hypersonic vehicles is proposed. To solve the problem of the multidisciplinary multiconstrained optimization solution being inefficient and difficult to converge, an optimization algorithm based on a sequential solution for the coupling of the thermal structure, thermal mode, and thermal flutter of hypersonic vehicles is proposed. This algorithm considers the interdependence of multiple disciplines but decouples their constraints through a three-step process. Firstly, the main optimization of the thermal structure is performed. Secondly, the suboptimization of thermal mode and thermal flutter is carried out. Finally, the algorithm returns to the main optimization. Through this three-step nested optimization process, the algorithm iterates until the optimal design point is reached. Numerical examples show that the algorithm can improve optimization efficiency under the premise of ensuring the accuracy of multidisciplinary optimization.
Similar content being viewed by others
References
Kennedy G, Kenway G, Martins J (2014) Towards Gradient-Based Design Optimization of Flexible Transport Aircraft with Flutter Constraints. Proceedings of the AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
Agte J, Weck OLD, Sobieszczanskisobieski J, Arendsen P, Morris A, Spieck M (2010) MDO: assessment and direction for advancement: an opinion of one international group. Struct Multidiscip Optim 40(1–6):17
Budiansky B, Mayers J (2015) Influence of aerodynamic heating on the effective torsional stiffness of thin wings. J Aeronaut Sci 23(12):1081–1093
Chittick IR, Martins JR (2008) Aero-structural optimization using adjoint coupled post-optimality sensitivities. Struct Multidiscip Optim 36(1):59–70
Culler A, Williams T, Bolender M (2007) Aerothermal Modeling and Dynamic Analysis of a Hypersonic Vehicle. Proceedings of the AIAA Atmospheric Flight Mechanics Conference and Exhibit
Du X, Chen W (2002) Sequential optimization and reliability assessment method for efficient probabilistic design. J Mech Des 126(2):871–880
Goura G, Badcock KJ, Woodgate MA, Richards BE (2001) A data exchange method for fluid-structure interaction problems. Aeronaut J 105(1046):215–221
Heeg J, Zeiler TA, Pototzky AS, Spain CV, Engelund WC (1993) Aerothermoelastic analysis of a NASP demonstrator model. Proceedings of the AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Heuer R (2011) Book review: the mathematical theory of elasticity. J Thermal Stresses 34(10):1100–1101
Koch PN, Simpson TW, Allen JK, Mistree F (1999) Statistical approximations for multidisciplinary design optimization: the problem of size. J Aircr 36(1):275–286
Koch PN, Wujek B, Golovidov O (2000) A MultiStage, Parallel Implementation of Probabilistic Design Optimization in an MDO Framework
Kouba G, Botez R, Boely N (2009) Identification of F/A-18 model from flight tests using the fuzzy logic method. Proceedings of the AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition
Lam XB, Kim YS, Hoang AD, Park CW (2009) Coupled aerostructural design optimization using the kriging model and integrated multiobjective optimization algorithm. J Optim Theory Appl 142(3):533–556
Langley DR, Thurston DE (1987) A versatile and efficient synthesis of carbinolamine-containing pyrrolo[1,4]benzodiazepines via the cyclization of N-(2- aminobenzoyl)pyrrolidine-2-carboxaldehyde diethyl thioacetals - Total synthesis of prothracarcin. ChemInform 18(28):91–97
Lee S, Kim T, Srivastava S (2018) Efficiency enhancement of aeroelastic optimization process using parametric reduced-order modeling. J Aerospace Eng. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000805
Li L, Ji HL, Liu S (2014) An efficient strategy for multidisciplinary reliability design and optimization based on CSSO and PMA in SORA framework. Struct Multidisc Optim 49(2):239–252
Liu YS, Wang XJ, Li YL (2020) Distributed piezoelectric actuator layout-design for active vibration control of thin-walled smart structures. Thin-Walled Struct 147:106530
Mcnamara J, Friedmann P, Powell K, Thuruthimattam B, Bartels R (2005) Three-dimensional Aeroelastic and Aerothermoelastic Behavior in Hypersonic Flow
Mcnamara J, Friedmann P (2007) Aeroelastic and aerothermoelastic analysis of hypersonic vehicles: current status and future trends. Proceedings of the AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
McNamara JJ, Friedmann PP (2011) Aeroelastic and aerothermoelastic analysis in hypersonic flow: past, present, and future. AIAA J 49(6):1089–1122
McNamara J (2005) Aeroelastic and aerothermoelastic behavior of two and three dimensional lifting surfaces in hypersonic flow
Mukherjee S, Lu DC, Raghavan B, Breitkopf P, Dutta S, Xiao MY, Zhang WH (2021) Accelerating large-scale topology optimization: state-of-the-art and challenges. Archives Comput Methods Eng 28(7):4549–4571
Munk DJ, Verstraete D, Vio GA (2017) Effect of fluid-thermal-structural interactions on the topology optimization of a hypersonic transport aircraft wing. J Fluids Struct 75:45–76
Renaud JE, Gabriele GA (2013) Improved coordination in nonhierarchic system optimization. AIAA J 31(12):2367–2373
Scholten MF, Thornton AS, Mekel JM, Koudstaal PJ, Jordaens LJ (2005) Anticoagulation in atrial fibrillation and flutter. Europace 7(5):492–499
Scott R, Pototzky A (1993) A methode of predicting quasi-steady aerodynamics for flutter analysis of high speed vehicle using steady cfd calculations [M]. 34th Structures, Structural Dynamics and Materials Conference. American Institute of Aeronautics and Astronautics
Sellar RS, Batill SM, Renaud JE (1996) Response Surface Based, Concurrent Subspace Optimization For Multidisciplinary System Design
Takizawa K, Bazilevs Y, Tezduyar TE (2012) Computational fluid mechanics and fluid–-structure interaction. Comput Mech 50(6):665
Vosteen LF, Fuller KE (1955) Behavior of a cantilever plate under rapid-heating conditions [J]. Technical Report Archive & Image Library
Wang XJ, Li YL, Ma ZL, Fan WC, Wang L, Xu MH (2017a) Robust optimization of structural-acoustic coupled system with random parameters. Aerosp Technol 60:48–57
Wang XJ, Wang RX, Chen XJ, Wang L, Geng XY, Fan WC (2017b) Interval prediction of responses for uncertain multidisciplinary system. Struct Multidisc Optim 55(6):1945–1964
Wang X, Shi Q, Fan W, Wang R, Wang L (2019) Comparison of the reliability-based and safety factor methods for structural design. Appl Math Model 72:68–84
Wang X, Ren Q, Chen W, Liu Y, Wang L, Ding X (2020) Structural design optimization based on the moving baseline strategy. Acta Mech Solida Sin 33(3):307–326
Wit AD, Keulen FV (2007) Numerical Comparison of Multi-Level Optimization Techniques. Proceedings of the AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Wu YT, Shin Y, Sues R, Cesare M (2001) Safety-factor based approach for probability-based design optimization Proceedings of the Aiaa Applied Aerodynamics Conference
Xiao MY, Breitkopf P, Coelho RF, Villon P, Zhang WH (2014) Proper orthogonal decomposition with high number of linear constraints for aerodynamical shape optimization. Appl Math Comput 247:1096–1112
Xiao MY, Zhang GH, Breitkopf P, Villon P, Zhang WH (2018) Extended Co-Kriging interpolation method based on multi-fidelity data. Appl Math Comput 323:120–131
Xiao MY, Lu DC, Breitkopf P, Raghavan B, Dutta S, Zhang WH (2020a) On-the-fly model reduction for large-scale structural topology optimization using principal components analysis. Struct Multidiscip Optim 62(1):209–230
Xiao MY, Lu DC, Breitkopf P, Raghavan B, Zhang WH, Dutta S (2020b) Multi-grid reduced-order topology optimization. Struct Multidiscip Optim 61(6):2319–2341
Zhang X, Huang HZ (2010) Sequential optimization and reliability assessment for multidisciplinary design optimization under aleatory and epistemic uncertainties. Struct Multidiscip Optim 40(1–6):165
Zhang ZJ, Zingg DW (2018) Efficient monolithic solution algorithm for high-fidelity aerostructural analysis and optimization. AIAA J 56(3):1251–1265
Zhang ZX, Wang XJ, Chen XJ (2020) An sequential optimization and aeroelastic constraint transformation method for strength-aeroelastic comprehensive design. J Fluids Struct 93:102836
Funding
The Defence Industrial Technology Development Program, JCKY2019205A006, the National Nature Science Foundation of China, 12072006, 12072007, 12132001, 52192632, the Defense Industrial Technology Development Program, JCKY2019203A003
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflicts of interest.
Replication of results
The raw data required to reproduce these findings are available for download from https://doi.org/10.17632/k5j7j7j7jp.1.
Additional information
Responsible editor: W. H. Zhang
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wang, X., Xu, Y., Liu, P. et al. A sequential algorithm for decoupling the multidisciplinary constraints of hypersonic vehicle structural optimization design in a thermal environment. Struct Multidisc Optim 66, 185 (2023). https://doi.org/10.1007/s00158-023-03635-4
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00158-023-03635-4