| 高聚物离散松弛时间谱计算的CMPSO方法 |
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| 引用本文： | 栗雪娟,欧阳洁,李强,麦宏晏.高聚物离散松弛时间谱计算的CMPSO方法[J].应用基础与工程科学学报,2011,19(4):600-607. |
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| 作者姓名： | 栗雪娟 欧阳洁 李强 麦宏晏 |
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| 作者单位： | 西北工业大学应用数学系,陕西西安,710129 |
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| 基金项目： | 国家自然科学基金重大项目(10871159); 国家重点基础研究发展计划项目(2005CB321704) |
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| 摘 要： | 在广义Maxwell模型基础上,基于聚合物熔体储能模量和耗能模量数据,建立了计算离散松弛时间谱的优化模型.为了改善标准粒子群(Particle SwarmOptimizer,PSO)算法的缺点以用于计算离散松弛时间谱,提出了基于混沌映射和非线性惯性权重改进的粒子群方法(Chaos Modified PSO,CMPSO).首先通过算例检验了CMPSO算法的有效性.通过和文献结果比较,表明其精度均比文献结果高一个数量级.其次对Maxwell模态数的分析表明其取值在大于4以后,对计算结果影响不大.最后,通过结果分析确定出最优Maxwell模态数.在最优模态数情况下,储能模量和耗能模量的拟合数据与实验数据吻合较好,并采用最小二乘线性回归法验证了离散松弛时间谱的正确性.
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| 关 键 词： | 松弛谱 Maxwell模型 混沌映射 CMPSO |
CMPSO Method for Computing Polymer's Discrete Relaxation Time Spectra |
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| LI Xuejuan,OUYANG Jie,LI Qiang,MAI Hongyan.CMPSO Method for Computing Polymer's Discrete Relaxation Time Spectra[J].Journal of Basic Science and Engineering,2011,19(4):600-607. |
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| Authors: | LI Xuejuan OUYANG Jie LI Qiang MAI Hongyan |
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| Institution: | LI Xuejuan,OUYANG Jie,LI Qiang,MAI Hongyan (Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710129,China) |
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| Abstract: | An optimizing model is established for computing discrete relaxation time spectra based on the generalized Maxwell model and polymer's storage and loss modulus data.The Chaos Modified PSO(CMPSO)algorithm is proposed on the basis of the nonlinear inertial weights and chaos maps to enable the standard Particle Swarm Optimizer(PSO)to compute discrete relaxation time spectra.Firstly,an example was given to testify the validity of CMPSO algorithm.Comparison between the results of CMPSO and those of literatures s... |
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| Keywords: | relaxation spectra Maxwell model chaos map CMPSO |
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