基于效用函数理论的车身PP夹芯板结构参数优化与应用研究
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摘要
为使采用聚丙烯(polypropylene, PP)芯材的夹芯板替代车身钢板获得更好的结构性能,选取车身板件的刚度、强度、质量和成本等多种设计属性,基于多属性效用函数理论,建立夹芯板结构参数(厚度)优化模型。将夹芯板结构设计的多目标优化问题转化为单目标优化问题,采用MATLAB编写参数优化程序,进行优化和实验验证。将优化的夹芯板结构应用于某汽车前围板,采用有限元仿真方法对前围板替换前后的车身结构性能进行了分析与评价。结果表明,采用优化的夹芯板前围板后,车身结构性能有明显改善。
For achieving better performance of polypropylene(PP)-core sandwich structure being substituted for steel panel, a few design attributes, e.g. stiffness, strength, mass and cost etc. of body panels are chosen to build an optimization model for sandwich structure parameter(thickness) based on multi-attribute utility function theory. Then the multi-objective optimization problem of sandwich structure is transformed into a single objective optimization problem, a parametric optimization program is developed with MATLAB,and an optimization is conducted and verified by experiment. Finally, the optimized sandwich structure is applied to the fire wall of a car and a finite element simulation is performed to analyze and evaluate the car body structural performances before and after fire wall substitution. It is shown that the structural performance of the car body with optimized sandwich fire wall is apparently improved.
For achieving better performance of polypropylene(PP)-core sandwich structure being substituted for steel panel, a few design attributes, e.g. stiffness, strength, mass and cost etc. of body panels are chosen to build an optimization model for sandwich structure parameter(thickness) based on multi-attribute utility function theory. Then the multi-objective optimization problem of sandwich structure is transformed into a single objective optimization problem, a parametric optimization program is developed with MATLAB,and an optimization is conducted and verified by experiment. Finally, the optimized sandwich structure is applied to the fire wall of a car and a finite element simulation is performed to analyze and evaluate the car body structural performances before and after fire wall substitution. It is shown that the structural performance of the car body with optimized sandwich fire wall is apparently improved.
引文
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[8] ICARDI U, FERRERO L. Optimization of sandwich panels with functionally graded core and faces[J]. Composites Science & Technology,2009,69(5):575-585.
[9] ABACHIZADEH M, TAHANI M. An ant colony optimization approach to multi-objective optimal design of symmetric hybrid laminates for maximum fundamental frequency and minimum cost[J]. Structural and Multidisciplinary Optimization,2009,37(4):367-376.
[10] HUDSON C W, CARRUTHERS J J, ROBINSON A M. Multiple objective optimization of composite sandwich structures for rail vehicle floor panels[J]. Composite Structures,2010,92(9):2077-2082.
[11] 叶楠,张伟,黄威,等.PVC夹芯板在冲击载荷下的动态响应与失效模式[J].爆炸与冲击,2017,37(1):37-45.
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[13] 陈明继,裴永茂,方岱宁.夹芯型雷达吸波结构的多目标优化[J].应用数学和力学,2010,31(3):315-323.
[2] REISSNER E. On bending of elastic plates[J]. Quart. Appl. Math,1947,5(1):55-68.
[3] 杜庆华.三合板的一般弹性理论[J].物理学报,1954(4):55-57.
[4] SCHOUTENS J E. Direct measurements of non-linear stress-strain curves and elastic properties of metal matrix composite sandwich beams with any core material[J]. Journal of Materials Science,1985,20(12):4421-4430.
[5] MOSTAFA A, SHANKAR K, MOROZOV E V. Insight into the shear behaviour of composite sandwich panels with foam core[J]. Materials & Design,2013,50(17):92-101.
[6] GIBSON L J. Optimization of stiffness in sandwich beams with rigid foam cores[J]. Materials Science and Engineering,1984,67(2):125-135.
[7] MAGNUCKA-BLANDZI E, MAGNUCKI K. Effective design of an sandwich beam with a metal foam core[J]. Thin-Walled Structures,2007,45(4):432-438.
[8] ICARDI U, FERRERO L. Optimization of sandwich panels with functionally graded core and faces[J]. Composites Science & Technology,2009,69(5):575-585.
[9] ABACHIZADEH M, TAHANI M. An ant colony optimization approach to multi-objective optimal design of symmetric hybrid laminates for maximum fundamental frequency and minimum cost[J]. Structural and Multidisciplinary Optimization,2009,37(4):367-376.
[10] HUDSON C W, CARRUTHERS J J, ROBINSON A M. Multiple objective optimization of composite sandwich structures for rail vehicle floor panels[J]. Composite Structures,2010,92(9):2077-2082.
[11] 叶楠,张伟,黄威,等.PVC夹芯板在冲击载荷下的动态响应与失效模式[J].爆炸与冲击,2017,37(1):37-45.
[12] 夏志成,张建亮,周竞洋,等.泡沫铝夹芯板抗冲击性能分析[J].工程力学,2017,34(10):207-216.
[13] 陈明继,裴永茂,方岱宁.夹芯型雷达吸波结构的多目标优化[J].应用数学和力学,2010,31(3):315-323.