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A stacking sequence optimization strategy for process-induced deformation of multi-layer thick asymmetric laminates

POLYMER COMPOSITES 2025年第2期46卷 1427-1441页

作者： Jia, Hongli Zhu, Yingdan Yan, Chun Chen, Gang Liu, Dong Chinese Acad Sci Ningbo Inst Mat Technol & Engn Zhejiang Prov Key Lab Robot & Intelligent Mfg Equi Ningbo 315201 Peoples R China Univ Chinese Acad Sci Ctr Mat Sci & Optoelect Engn Beijing Peoples R China

The occurrence of process-induced deformations of composites laminates is challenging for assembly accuracy and may lead to a service life reduction of parts. However, it can be obviously mitigated through different optimization strategies on the basis of the accurate curing process simulation. In this study, a stacking sequence optimization strategy is proposed and applied to multi-layer thick asymmetric laminates. The shapes of deformed laminate plates are experimentally investigated in virtue of the three-dimensional coordinate measuring machine. The thermo-chemical-mechanical behaviors of plates are first verified through the comparisons of model predicted and experimental process-induced deformations. Then the nonlinear control formula achieved through the regression model is proposed for the direct relationship between stacking sequences and process-induced deformations. Finally, the required solutions are generated by solving the control formula. With the comparisons between the average deformations before and after optimizations, it is found that the magnitudes of deformations are significantly reduced, especially when the unoptimizated deformations are large.

关键词： curing process simulation multi-layer asymmetric laminates process-induced deformation stacking sequence optimization

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stacking sequence optimization for maximum buckling load of simply supported orthotropic plates by enhanced permutation search algorithm

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ENGINEERING optimization 2021年第10期53卷 1695-1714页

作者： Jing, Zhao Sun, Qin Zhang, Yongjie Liang, Ke Northwestern Polytech Univ Sch Aeronaut Xian Peoples R China

An enhanced permutation search (EPS) algorithm is proposed for stacking sequence optimization of simply supported orthotropic plates to maximize the buckling load. By taking advantage of the approximate linear superposition regular of buckling load factor and accounting for the nonlinear effects of buckling mode as well as the non-dimensional anisotropic coefficients, the stacking sequence design is decomposed to three phases. First, the best ply orientations are identified using the sequential permutation table with multiple buckling modes. Secondly, the stacking sequence is designed from the mid-plane to the outermost position sequentially within a nested-loop search accounting for the buckling mode. Thirdly, the signs of the ply orientations are designed independently to control the bending-twisting coupling effects. Numerical examples are presented to verify the robustness and efficiency of the EPS, and the results are compared with those of heuristic algorithms. Better optimal solutions are obtained by EPS, with higher efficiency.

关键词： Enhanced permutation search orthotropic plates stacking sequence optimization composite laminates buckling

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stacking sequence optimization and blending design of laminated composite structures

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STRUCTURAL AND MULTIDISCIPLINARY optimization 2019年第1期59卷 1-19页

作者： An, Haichao Chen, Shenyan Huang, Hai Beihang Univ Sch Astronaut XueYuan Rd 37 Beijing 100191 Peoples R China

The stacking sequence optimization problem for multi-region composite structures is studied in this work by considering both blending and design constraints. Starting from an initial stacking sequence design, unnecessary plies can be removed from this initial design and layer thicknesses of necessary plies are optimally determined. The existence of each ply is represented with discrete 0/1 variables and ply thicknesses are treated as continuous variables. A first-level approximate problem is constructed with branched multipoint approximate functions to replace the primal problem. To solve this approximate problem, genetic algorithm is firstly used to optimize discrete variables, and meanwhile, a blending design scheme is proposed to generate a blended structure. Starting from the thinnest region, this scheme shares all layers of current thinnest region with its adjacent regions. For non-shared layers in the adjacent regions, local mutation is implemented to add or delete plies to make them efficient designs. The whole process is repeated until the blending rule is satisfied. After that, a second-level approximate problem is built to optimize the continuous variables of ply thicknesses for retained layers. Those procedures are repeated until the optimal solution is obtained. Numerical applications, including a two-patch panel and a corrugated central cylinder in a satellite, are conducted to demonstrate the efficacy of the optimization strategy.

关键词： stacking sequence optimization Blending design Multipoint approximation Composite structures

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stacking sequence optimization of horizontal axis wind turbine blade using FEA, ANN and GA

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STRUCTURAL AND MULTIDISCIPLINARY optimization 2015年第4期52卷 791-801页

作者： Nicholas, P. Emmanuel Padmanaban, K. P. Vasudevan, D. Ramachandran, T. PSNA Coll Engn & Technol Dept Mech Engn Dindigul 624622 India SBM Coll Engn & Technol Dept Mech Engn Dindigul 624005 India

The requirements for wind energy are significantly increasing for the sources of non-renewable energy is censoriously shortened and the awareness on green energy is emergent. The required energy from the wind turbine can be increased by optimally varying the aerodynamic considerations like aerofoil section, chord length, angle of attack, twist angle and the rotor diameter. However the blade may structurally fail, for the aerodynamic considerations are generally against the structural requirements. For example, the coefficient of lift can be increased with the reduced thickness but the structure may fail due to lacking of bending and torsional strength. Similarly, when the wind turbine blade radius is increased, the structure will have poor buckling strength. As the outer shape of a wind turbine blade and the thickness are determined based on the aerodynamic considerations, they are kept constant in this work and the buckling strength of the wind turbine structure is improved by optimally varying the ply orientations and stacking sequences at each section of the wind turbine blade. The difficulty due to high computational cost in the stacking sequence optimization of wind turbine blade is overcome by replacing finite element analysis using artificial neural network.

关键词： stacking sequence optimization Horizontal axis wind turbine blade Artificial neural network Genetic algorithm Finite element analysis

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stacking sequence optimization for maximum strengths of laminated composite plates using genetic algorithm and isogeometric analysis

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COMPOSITE STRUCTURES 2014年第Sep./Oct.期116卷 357-363页

作者： Tuan Le-Manh Lee, Jaehong Sejong Univ Dept Architectural Engn Seoul 143747 South Korea

In this paper, an optimal procedure based on genetic algorithm and NURBS-based finite element isogeometric analysis (IGA) is proposed for seeking maximum load-carrying capacity of imperfect laminated composite plates with respect to a specified displacement. Nonlinear behavior of plates including bending, buckling and postbuckling are investigated. Fiber orientations are the design variables. Governing equations are derived in the framework of first-order shear deformation theory (FSDT) associated with von-Karman strain theory for large deformation. Isogeometric analysis is known as a robust numerical method in dealing with laminated structures due to the smoothness, high continuity and the reduction of total degrees-of-freedom (DOFs). Modified Riks method is employed for nonlinear analysis. The arc-length scheme simultaneously adjusts displacement and load so that accelerates the analysis procedure. Computational time is significantly reduced based on the cooperation of IGA and Riks algorithm. Numerical examples including 4-ply and quasi symmetric laminates are investigated to show the efficiency and flexibility of the proposed approach. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： stacking sequence optimization Laminated composite plates Genetic algorithm Isogeometric analysis Riks method Nonlinear analysis

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A novel nonlinear FE perturbation method and its application to stacking sequence optimization for snap-through response of cylindrical shell panel

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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2022年 112卷 154-166页

作者： Liang, Ke Li, Zheng Northwestern Polytech Univ Sch Aeronaut YouyiXi Rd 127 Xian 710072 Peoples R China

Cylindrical shell panels are commonly used for the lightweight design of thin-walled structures in the aerospace engineering. In this work, the snap-through buckling of composite cylindrical shell panels subjected to lateral loads is calculated and designed. We present a novel method to extract the essential features of the snap-through response using a fast path-following scheme, and subsequently apply them as inputs to the stacking sequence optimization. In the path-following scheme, the full snap-through response can be achieved efficiently based on the finite element perturbation method, meanwhile its numerical accuracy is well guaranteed by the necessary corrections on residual forces. The essential features of the snap-through response, i.e. the load-limit point, critical deflection and jump deflection, are selected to be either the objective or the constraint in the stacking sequence optimization. The stacking sequence optimization using the genetic algorithm can be realized considering the severe geometrical nonlinearities of mechanics responses, benefiting from the high efficiency and robustness of a single function call. Composite cylindrical shell panels with various geometry/lamination configurations and load/displacement boundary conditions, are considered in the stacking sequence optimizations, to validate the good performance of the proposed method.

关键词： Snap-through buckling Path-following scheme Finite element perturbation method stacking sequence optimization

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Laminate stacking sequence optimization with strength constraints using two-level approximations and adaptive genetic algorithm

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STRUCTURAL AND MULTIDISCIPLINARY optimization 2015年第4期51卷 903-918页

作者： An, Haichao Chen, Shenyan Huang, Hai Beihang Univ Beijing 100191 Peoples R China

A stacking sequence optimization method, which is conducted on the basis of a ground laminate and utilizes a two-level approximation as well as a genetic algorithm (GA), was developed before by the authors. Compared with general GAs, this method shows lower computational costs while reaching a high level of practical feasibility. However, the published work did not involve problems constrained with a strength requirement, which is essential for laminate structures subject to multiple loading conditions. Thus, in the present study, this approach is extended to implement strength constraints for laminate stacking sequence optimizations. First, to avoid the selection of some control parameters in the GA as well as to improve its performance, the standard genetic algorithm is modified with adaptive schemes in the fitness function and GA operators. Furthermore, by adopting the first-ply failure criterion and considering the stresses/strains for each layer in the ground laminate, the concept of temporal deletion techniques is proposed to extend this approach for handling optimization problems with strength constraints. Moreover, by combining the optimizer with the general finite element software MSC. Patran/Nastran, an optimization framework is established to conduct the optimization easily. Numerical examples are performed in repeated runs to illustrate the performance of the modified approaches in the GA as well as the feasibility and efficiency of this optimization system.

关键词： stacking sequence optimization Strength constraints Adaptive genetic algorithm Two-level approximation

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An integrated approach to shape and laminate stacking sequence optimization of free-form FRP shells

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2006年第33-36期195卷 4106-4123页

作者： Wu, Jun Burgueno, Rigoberto Michigan State Univ Dept Civil & Environm Engn E Lansing MI 48824 USA

Efficient use of fiber-reinforced polymer (FRP) composites in civil structures will require developing new forms that are conducive to their dominant in-plane mechanical properties. For this goal, an approach for the shape and stacking sequence optimization of free-form FRP shells was developed. The process was uncoupled into continuous- and discrete-variable problems and implemented in a two-level procedure: shape and laminate-property optimization followed by laminate stacking sequence optimization. Examples show the benefits of integrated shape and laminate optimization for FRP structures, and validate the method for the mixed variable problem and for different number of plies and intervals of ply orientations. (c) 2005 Elsevier B.V. All rights reserved.

关键词： shape optimization stacking sequence optimization FRP composites shells

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The effect of buckling and post-buckling behavior of laminated composite plates with rotationally restrained and Pasternak foundation on stacking sequence optimization

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SCIENTIA IRANICA 2021年第4期28卷 2053-2069页

作者： Farahani, S. Fathi, M. Nazarimofrad, E. Razi Univ Dept Civil Engn Kermanshah Iran Bu Ali Sina Univ Dept Civil Engn Hamadan Hamadan Iran

This paper applies stacking sequence optimization for maximizing the buckling load of rotationally restrained laminated composite rectangular plates with different boundary conditions resting on an elastic Pasternak foundation subjected to uniaxial and biaxial in-plane static loads. The Mindlin Plate Theory (MPT), which considers the first-order shear deformation effect, was used to extract the characteristic equations of the plates under in-plane loading, including plate-foundation interaction. The buckling problem of laminated plates was analyzed by the Rayleigh-Ritz method. The aim of optimization was to maximize the buckling load and post-buckling load capacities using Genetic Algorithm (GA) method, and the design variable was the ply orientation. The results showed that the optimal orientation, theta, of the laminated square plate under biaxial in-plane loading in various conditions was 45 degrees, approximately. The existence of a foundation, clamped boundary conditions, and high aspect ratio led to increase in the optimal orientation. (C) 2021 Sharif University of Technology. All rights reserved.

关键词： stacking sequence optimization Buckling and post-buckling behavior Rotationally restrained laminated composite plates Pasternak foundation Mindlin plate theory

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A multi-fidelity competitive sampling method for surrogate-based stacking sequence optimization of composite shells with multiple cutouts

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INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES 2020年 193卷 1-12页

作者： Tian, Kuo Ma, Xiangtao Li, Zengcong Lin, Shiyao Wang, Bo Waas, Anthony M. Dalian Univ Technol Dept Engn Mech State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China Univ Michigan Dept Aerosp Engn Ann Arbor MI 48109 USA

In order to explore the global optimizing ability of the surrogate-based stacking sequence optimization of composite shells with multiple cutouts, a multi-fidelity competitive sampling (MFCS) method is developed in this paper, which is composed of a low-fidelity sampling level and a high-fidelity sampling level. In the low-fidelity sampling level, competitive sampling points are determined by means of the prior screening criterion and the further screening criterion in sequence. Based on the POD-based buckling method, a novel reduced-order model is established as the low-fidelity model for fast linear buckling analysis of composite shells with multiple cutouts. In the high-fidelity sampling level, the explicit dynamic method is employed to calculate the post-buckling response of competitive sampling points. Based on these sampling results, a surrogate model is built. Next, a surrogate-based stacking sequence optimization framework is established for minimum material cost of composite shells with multiple cutouts. A simple optimization example of Mishra's Bird test function is performed and the effectiveness of the MFCS method is demonstrated. Finally, the proposed method is used for the surrogate-based stacking sequence optimization of composite shells with multiple cutouts. The optimal result of total material cost by the MFCS method decreases by 23.0% than the optimal result by the traditional sampling method, which indicates that the MFCS method contributes to improving the global optimizing ability of the surrogate-based stacking sequence optimization of composite shells with multiple cutouts. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： Shell buckling stacking sequence optimization Multi-fidelity competitive sampling method Proper Orthogonal Decomposition

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