Interval optimization for structural dynamic responses of an artillery system under uncertainty

ABSTRACT The uncertain optimization problem for structural dynamic responses of artillery systems is studied from the perspective of uncertainty and system engineering. First, a rigid–flexible coupling dynamic model of artillery at the maximum firing angle is constructed, which can achieve coupling relationships between interior ballistics, launching loads and artillery movement. Secondly, an integration method of optimal Latin hypercube design and regression analysis is used to obtain the polynomial model, followed by sensitivity analysis. Thus, the key parameters affecting the dynamic response are identified. An interval uncertain optimization method for artillery structural dynamic responses considering robustness and interval economy is then proposed, based on nonlinear interval programming and the nested optimization solving strategy, which integrates the back-propagation neural network with the genetic algorithm as the inner optimizer, and uses the non-dominated sorting genetic algorithm-II as the outer optimizer. Finally, an example is presented to demonstrate the validity of the proposed method.

[1]  Jon C. Helton,et al.  Survey of sampling-based methods for uncertainty and sensitivity analysis , 2006, Reliab. Eng. Syst. Saf..

[2]  Tom Dhaene,et al.  Efficient space-filling and non-collapsing sequential design strategies for simulation-based modeling , 2011, Eur. J. Oper. Res..

[3]  Debjani Chakraborty,et al.  Interpretation of inequality constraints involving interval coefficients and a solution to interval linear programming , 2001, Fuzzy Sets Syst..

[4]  Ismail Esen,et al.  Optimization of a passive vibration absorber for a barrel using the genetic algorithm , 2015, Expert Syst. Appl..

[5]  Yizhong Wu,et al.  An adaptive metamodel-based global optimization algorithm for black-box type problems , 2015 .

[6]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[7]  Yaowen Yang,et al.  A novel methodology of reliability-based multidisciplinary design optimization under hybrid interval and fuzzy uncertainties , 2018 .

[8]  Zhang Quan,et al.  A Ranking Approach for Interval Numbers in Uncertain Multiple Attribute Decision Making Problems , 1999 .

[9]  Shabbir Ahmed,et al.  On robust optimization of two-stage systems , 2004, Math. Program..

[10]  Guolai Yang,et al.  Surrogate-based multi-objective optimization of firing accuracy and firing stability for a towed artillery , 2017 .

[11]  Xu Han,et al.  A new interval optimization method considering tolerance design , 2015 .

[12]  Michael M. Chen Projectile Balloting Attributable to Gun Tube Curvature , 2010 .

[13]  Li Zhi A Ranking Approach for Interval Numbers , 2003 .

[14]  C. Jiang,et al.  Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval , 2007 .

[15]  Hak In Gimm,et al.  Characterizations of gun barrel vibrations of during firing based on shock response analysis and short-time Fourier transform , 2012 .

[16]  Yunlong Li,et al.  A dimension-wise method and its improvement for multidisciplinary interval uncertainty analysis , 2018, Applied Mathematical Modelling.

[17]  H. Ishibuchi,et al.  Multiobjective programming in optimization of the interval objective function , 1990 .

[18]  Jo Yung Wong,et al.  Terramechanics and off-road vehicles , 1989 .

[19]  Cheng Cheng,et al.  Interior ballistic charge design based on a modified particle swarm optimizer , 2012 .

[20]  Xu Han,et al.  An uncertain structural optimization method based on nonlinear interval number programming and interval analysis method , 2007 .

[21]  M. G. Bekker,et al.  Off-the-Road Locomotion: Research and Development in Terramechanics , 1960 .

[22]  Yusuf Çay,et al.  Tip Deflection Determination of a Barrel for the Effect of an Accelerating Projectile Before Firing Using Finite Element and Artificial Neural Network Combined Algorithm , 2016 .

[23]  Liqun Wang,et al.  An uncertain optimization method for overall ballistics based on stochastic programming and a neural network surrogate model , 2018, Engineering Optimization.

[24]  Nong Zhang,et al.  A new hybrid uncertainty optimization method for structures using orthogonal series expansion , 2017 .

[25]  Xiaoping Du,et al.  Reliability Analysis for Multidisciplinary Systems with Random and Interval Variables , 2010 .

[26]  Jeong‐Soo Park Optimal Latin-hypercube designs for computer experiments , 1994 .

[27]  Di Wu,et al.  Structural optimization oriented time-dependent reliability methodology under static and dynamic uncertainties , 2018 .

[28]  J. Edward Alexander Advanced Gun System Gun and Projectile Dynamic Model Results and Correlation to Test Data , 2012 .

[29]  H Christopher Frey,et al.  OF SENSITIVITY ANALYSIS , 2001 .

[30]  Z. Luo,et al.  A new interval uncertain optimization method for structures using Chebyshev surrogate models , 2015 .

[31]  D. Hamby A review of techniques for parameter sensitivity analysis of environmental models , 1994, Environmental monitoring and assessment.

[32]  G. P. Liu,et al.  A nonlinear interval number programming method for uncertain optimization problems , 2008, Eur. J. Oper. Res..

[33]  Wei Tian,et al.  A review of sensitivity analysis methods in building energy analysis , 2013 .

[34]  Richard Dashwood,et al.  Artificial Neural Network (ANN) based microstructural prediction model for 22MnB5 boron steel during tailored hot stamping , 2017 .

[35]  Jianrong Tan,et al.  Robust optimization of uncertain structures based on normalized violation degree of interval constraint , 2017 .

[36]  F. Bastin,et al.  Evaluation of Optimization Methods for Estimating Mixed Logit Models , 2005 .

[37]  Raul Poler Escoto,et al.  Fuzzy optimization for supply chain planning under supply, demand and process uncertainties , 2009, Fuzzy Sets Syst..

[38]  T. J. Mitchell,et al.  Exploratory designs for computational experiments , 1995 .

[39]  C. Jiang,et al.  A sequential nonlinear interval number programming method for uncertain structures , 2008 .