Eficient Reliability-Based Design Optimization Of Buildings Using Surrogate Models In Ai

Authors

  • Mayank Kumar Department of Civil Engineering, Graphic Era Hill University, Dehradun, Uttarakhand, India 248002 Author

DOI:

https://doi.org/10.61841/0rtq1r86

Keywords:

Reliability-Based Design Optimization (RBDO), Surrogate Models, Artificial Intelligence (AI), Simulations, Reliability, Design Optimization, Surrogate Models

Abstract

 This approach for reliability-based design optimization (RBDO) of buildings using surrogate models in artificial intelligence (AI). RBDO aims to find the optimal design of structural systems that satisfy performance requirements while considering uncertainties in the design variables and the loads. Traditional RBDO methods often require a large number of computationally expensive simulations, which hinder their practical applicability. The proposed approach utilizes surrogate models, trained using AI algorithms, to approximate the structural response and reliability analysis. This enables a significant reduction in computational cost while maintaining accuracy. The paper outlines the methodology, discusses the construction of surrogate models, describes the RBDO formulation, presents a case study, and provides insights into the efficiency and effectiveness of the proposed approach. Reliability-based design optimization (RBDO) plays a crucial role in enhancing the performance and safety of buildings by considering uncertainties associated with structural design. However, the conventional RBDO methods often suffer from high computational costs, making them impractical for real-world applications. This abstract presents an innovative approach that leverages surrogate models in artificial intelligence (AI) to achieve efficient and reliable design optimization for buildings.

The proposed methodology integrates surrogate models, such as neural networks and Gaussian processes, with RBDO techniques to create a computationally efficient framework for optimizing building designs while accounting for uncertainties. Surrogate models serve as approximation functions that mimic the behaviour of complex structural analysis models, enabling rapid evaluations of the structural responses and associated reliability metrics. To establish accurate surrogate models, a set of training samples is generated by exploring the design space using a sampling strategy, such as Latin hypercube sampling or Monte Carlo simulation. These samples are used to train the surrogate models, which can then predict the response and reliability metrics for any given set of design variables, eliminating the need for repetitive and time-consuming evaluations of the full-fledged structural models.

The surrogate models are integrated within an RBDO framework, which combines optimization algorithms, reliability analysis methods, and surrogate model-based response surface models. This integration enables the efficient exploration of the design space to identify the optimal design that minimizes cost or maximizes performance while satisfying reliability constraints. By utilizing surrogate models, the proposed approach significantly reduces the computational burden associated with RBDO of buildings, allowing for more extensive exploration of the design space within feasible timeframes. The surrogate-based optimization process achieves near-real-time design evaluations, enabling designers and engineers to make informed decisions promptly. The effectiveness and efficiency of the proposed methodology are demonstrated through case studies involving various building types and design objectives. The results highlight the significant computational savings achieved by surrogate models while maintaining accurate predictions of structural responses and reliability metrics. The integration of surrogate models provides a powerful tool for designers and engineers to enhance the structural performance and safety of buildings while considering uncertainties, paving the way for more advanced and practical design optimization methodologies in the field of civil engineering. 

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References

[1]. Haldar, A., and Mahadevan, S., 2000, Probability, Reliability, and Statistical Methods in Engineering Design, Wiley,

New York.

[2]. Bichon, B. J., Eldred, M. S., Swiler, L. P., Mahadevan, S., and McFarland, J. M., 2008, “Efficient Global Reliability

Analysis for Nonlinear Implicit Performance Functions,” AIAA J., 46(10), pp. 2459–2468.

[3]. Bichon, B. J., 2010, “Efficient Surrogate Modeling for Reliability Analysis and Design,” Ph.D thesis, Vanderbilt

University, Nashville, TN.

[4]. Youn, B. D., Xi, Z., and Wang, P., 2008, “Eigenvector Dimension Reduction Method for Sensitivity-Free Uncertainty

Quantification,” Struct. Multidiscip. Optim., 37(1), pp. 13–28.

[5]. Eldred, M. S., 2011, “Design Under Uncertainty Employing Stochastic Expansion Methods,” Int. J. Uncertainty

Quantification, 1(2), pp. 119–146.

[6]. Eldred, M., Agarwal, H., Perez, V., Wojtkiewicz, S., and Renaud, J., 2007, “Investigation of Reliability Method

Formulations in DAKOTA/UQ,” Struct. Infrastruct. Eng.: Maint., Manage., Life-Cycle Des. Perform., 3(3), pp. 199–

213.

[7]. Eldred, M., and Bichon, B., 2006, “Second-Order Reliability Formulations in DAKOTA/UQ,” Proceedings of the

47th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Paper No.

AIAA2006-1828.

[8]. Tu, J., and Choi, K. K., 1999, “A New Study on Reliability-Based Design Optimization,” J. Mech. Des., 121(4), pp.

557–564.

[9]. Youn, B. D., Choi, K. K., and Park, Y. H., 2003, “Hybrid Analysis Method for Reliability-Based Design

Optimization,” J. Mech. Des., 125(2), pp. 221–232.

[10]. Hsu, K.-S., and Chan, K.-Y., 2010, “A Filter-Based Sample Average SQP for Optimization Problems With Highly

Nonlinear Probabilistic Constraints,” J. Mech. Des., 132(11), p. 111002.

[11]. Chiralaksanakul, A., and Mahadevan, S., 2005, “First-Order Approximation Methods in Reliability-Based Design

Optimization,” J. Mech. Des., 127(5), pp. 851–857.

[12]. Kuschel, N., and Rackwitz, R., 1997, “Two Basic Problems in Reliability Based Structural Optimization,” Math.

Methods Oper. Res., 46, pp. 309–333.

[13]. Liang, J., Mourelatos, Z., and Tu, J., 2008, “A Single-Loop Method for Reliability-Based Design Optimization,” Int.

J. Prod. Dev., 5(1–2), pp. 76–92.

[14]. Agarwal, H., Lee, J., Watson, L., and Renaud, J., 2004, “A Unilevel Method for Reliability-Based Design

Optimization,” Proceedings of the 45th AIAA/ ASME/ASCE/AHS/ASC Structures, Structural Dynamics and

Materials Conference, Paper No. AIAA-2004-2029.

[15]. McDonald, M., and Mahadevan, S., 2008, “Design Optimization With System Level Reliability Constraints,” J.

Mech. Des., 130(2), pp. 1–10.

[16]. Wu, Y.-T., Shin, Y., Sues, R., and Cesare, M., 2001, “Safety-Factor Based Approach for Probability-Based Design

Optimization,” Proceedings of the 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and

Materials Conference, Paper No. AIAA-2001-1522.

[17]. Du, X., and Chen, W., 2004, “Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic

Design,” J. Mech. Des., 126(2), pp. 225–233. 011009-12 / Vol. 135, JANUARY 2013 Transactions of the ASME

Downloaded From: http://mechanicaldesign.asmedigitalcollection.asme.org/ on 08/25/2013 Terms of Use:

http://asme.org/terms

[18]. Jones, D., Schonlau, M., and Welch, W., 1998, “Efficient Global Optimization of Expensive Black-Box Functions,”

INFORMS J. Comput., 12, pp. 272–283.

[19]. Huang, Y.-C., and Chan, K.-Y., 2010, “A Modified Efficient Global Optimization Algorithm for Maximal Reliability

in a Probabilistic Constrained Space,” J. Mech. Des., 132(6), p. 061002.

[20]. Kennedy, M. C., and O’Hagan, A., 2001, “Bayesian Calibration of Computer Models,” J. R. Stat. Soc. Ser. B

(Methodol.), 63(3), pp. 425–464.

[21]. Bayarri, M. J., Berger, J. O., Higdon, D., Kennedy, M. C., Kottas, A., Paulo, R., Sacks, J., Cafeo, J. A., Cavendish,

J., Lin, C. H., and Tu, J., 2002, “A Framework for Validation of Computer Models,” National Institute of Statistical

Sciences, Research Triangle Park, NC, Technical Report No. 128.

[22]. Simpson, T. W., Mauery, T. M., Korte, J. J., and Mistree, F., 2001, “Kriging Models for Global Approximation in

Simulation-Based Multidisciplinary Design Optimization.” AIAA J., 39(12), pp. 2233–2241.

[23]. Kaymaz, I., 2005, “Application of Kriging Method to Structural Reliability Problems,” Struct. Saf., 27(2), pp. 133–

151.

[24]. McFarland, J., 2008, “Uncertainty Analysis for Computer Simulations Through Validation and Calibration,” Ph.D.

thesis, Vanderbilt University, Nashville, TN.

[25]. Cressie, N., 1993, Statistics for Spatial Data, Revised edition, Wiley, New York.

[26]. Martin, J., and Simpson, T., 2005, “Use of Kriging Models to Approximate Deterministic Computer Models,” AIAA

J., 43(4), pp. 853–863.

[27]. Gablonsky, J., 1998, “An Implementation of the DIRECT Algorithm,” Center for Research in Scientific

Computation, North Carolina State University, Technical Report CRSC-TR98-29.

[28]. Booker, A., 2000, “Well-Conditioned Kriging Models for Optimization of Computer Simulations,” The Boeing

Company, Seattle, WA, Technical Report M&CT-TECH-00-002.

[29]. Schonlau, M., 1997, “Computer Experiments and Global Optimization,” Ph.D. thesis, University of Waterloo,

Waterloo, Canada.

[30]. Sasena, M., 2002, “Flexibility and Efficiency Enhancements for Constrained Global Design Optimization With

Kriging Approximations,” Ph.D. thesis, University of Michigan, Ann Arbor, MI.

[31]. Bjo¨rkman, M., and Holstro¨m, K., 2000, “Global Optimization of Costly Nonconvex Functions Using Radial Basis

Functions,” Optim. Eng., 1(4), pp. 373–397.

[32]. Audet, C., Dennis, J., Moore, D., Booker, A., and Frank, P., 2000, “A Surrogate-Model-Based Method for

Constrained Optimization,” Proceedings of the 8th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary

Analysis and Optimization, Paper No. AIAA-2000-4891.

[33]. Eldred, M., and Dunlavy, D., 2006, “Formulations for Surrogate-Based Optimization With Data Fit, Multifidelity,

and Reduced-Order Models,” Proceedings of the 11th AIAA/ISSMO Multidisciplinary Analysis and Optimization

Conference, Paper No. AIAA-2006-7117.

[34]. Conn, A. R., Gould, N. I. M., and Toint, P. L., 2000, Trust-Region Methods, MPS-SIAM Series on Optimization,

Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.

[35]. Ranjan, P., Bingham, D., and Michailidis, G., 2008, “Sequential Experiment Design for Contour Estimation From

Complex Computer Codes,” Technometrics, 50(4), pp. 527–541.

[36]. Dey, A., and Mahadevan, S., 1998, “Ductile Structural System Reliability Analysis Using Adaptive Importance

Sampling,” Struct. Saf., 20(2), pp. 137–154.

[37]. Zou, T., Mourelatos, Z., Mahadevan, S., and Tu, J., 2002, “Reliability Analysis of Automotive Body-Door

Subsystem,” Reliab. Eng. Syst. Saf., 78, pp. 315–324.

[38]. Wojtkiewicz, S. F., Jr., Eldred, M., Field, R.V., Jr., and Urbina, A., 2001, “Toolkit for Uncertainty Quantification in

Large Computational Engineering Models,” Proceedings of the 42nd AIAA/ASME/ASCE/AHS/ASC Structures,

Structural Dynamics, and Materials Conference, AIAA Paper No. 2001-1455.

[39]. Eldred, M., Giunta, A., Brown, S., Adams, B., Dunlavy, D., Eddy, J., Gay, D., Griffin, J., Hart, W., Hough, P., Kolda,

T., Martinez-Canales, M., Swiler, L., Watson, J.-P., and Williams, P., 2006, “DAKOTA, a Multilevel Parallel ObjectOriented Framework for Design Optimization, Parameter Estimation, Uncertainty Quantification, and Sensitivity

Analysis,” Version 4.0 user’s manual, Sandia National Laboratories, Technical Report SAND 2006-6337.

[40]. Meza, J., 1994, “Optþþ: An Object-Oriented Class Library for Nonlinear Optimization,” Sandia National

Laboratories, Livermore, CA, Technical Report SAND94-8225.

[41]. Gill, P. E., Murray, W., Saunders, M. A., and Wright, M. H., 1986, “User’s guide for NPSOL (Version 4.0): A Fortran

Package for Nonlinear Programming,” System Optimization Laboratory, Stanford University, Stanford, CA,

Technical Report SOL-86-2.

[42]. Vanderplaats Research and Development, Inc., 1995, DOT Users Manual, Version 4.20, Colorado Springs, CO.

[43]. Hohenbichler, M., and Rackwitz, R., 1988, “Improvement of Second-Order Reliability Estimates by Importance

Sampling,” J. Eng. Mech., ASCE, 114(12), pp. 2195–2199.

[44]. Qu, X., and Haftka, R., 2003, “Reliability-Based Design Optimization Using Probabilistic Sufficiency Factor,”

Proceedings of the 44th AIAA/ASME/ASCE/ AHS/ASC Structures, Structural Dynamics and Materials Conference,

Technical Report AIAA-2003-1657.

[45]. Sues, R., Aminpour, M., and Shin, Y., 2001, “Reliability-Based Multidisciplinary Optimization for Aerospace

Systems,” Proceedings of the 42nd AIAA/ ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials

Conference, Tehnical Report. AIAA-2001-1521.

[46]. Smith, N., and Mahadevan, S., 2005, “Integrating System-Level and Component-Level Designs Under Uncertainty,”

J. Spacecr. Rockets, 42(4), pp. 752–760.

[47]. Bichon, B. J., McFarland, J. M., and Mahadevan, S., 2011, “Efficient Surrogate Models for Reliability Analysis of

Systems With Multiple Failure Modes,” Reliab. Eng. Syst. Saf., 96(10), pp. 1386–1395.

[48]. Collier, C., Yarrington, P., and Pickenheim, M., 1999, “The Hypersizing Method for Structures,” NAFEMS World

Congress ’99.

[49]. Pandey, M., 1998, “An Effective Approximation to Evaluate Multinormal Integrals,” Struct. Saf., 20, pp. 51–67.

[50]. Youn, B. D., Choi, K. K., Yang, R.-J., and Gu, L., 2004, “Reliability-Based Design Optimization for Crashworthiness

of Vehicle Side Impact,” Struct. Multidiscip. Optim., 26, pp. 272–283.

[51]. Zou, T., and Mahadevan, S., 2006, “A Direct Decoupling Approach for Efficient Reliability-Based Design

Optimization,” Struct. Multidiscip. Optim., 31, pp. 190–200.

[52]. Gu, L., Yang, R., Tho, C., Makowski, M., Faruque, O., and Li, Y., 2001. “Optimization and Robustness for

Crashworthiness of Side Impact”. International Journal of Vehicle Design, 26(4), pp. 348–360.

[53]. Sinha, K., Krishnan, R., and Raghavendra, D., 2007, “Multi-Objective Robust Optimisation for Crashworthiness

During Side Impact,” Int. J. Veh. Des., 43(1–4), pp. 116–135.

[54]. Gramacy, R., 2007, “tgp: An R Package for Bayesian Nonstationary, Semiparametric Nonlinear Regression and

Design by Treed Gaussian Process Models,” J. Stat. Software, 19(9), pp. 1–46.

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Published

30.08.2019

How to Cite

Eficient Reliability-Based Design Optimization Of Buildings Using Surrogate Models In Ai. (2019). International Journal of Psychosocial Rehabilitation, 23(3), 1203-`1211. https://doi.org/10.61841/0rtq1r86