基于热电模型的聚合物片材热塑成型研究
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摘要
为了分析环境温度对聚合物片材成型温度的影响,根据冰箱内胆热塑成型工艺特点,分析了聚合物片材再加热过程中最主要的3种传热方式:热辐射、热传导和热对流,根据热电相似性理论、热辐射和热传导的电路等效模型,创建了考虑环境温度因素的等效热源;根据量纲分析,建立了聚合物片材温度响应预测模型。利用Electronics Workbench(EWB)软件进行仿真,结果表明:在聚合物片材再加热过程中,不考虑环境温度影响对比考虑环境温度(25℃)影响时,ABS片材最终成型温度大约高3℃;通过4组实验结果和预测结果比较分析,最大绝对误差为2.57%。该模型对聚合物片材再加热过程中的温度响应预测效果较好,为不同环境温度下的加热瓦温度设定值提供了理论依据。
In order to analyze the impact of environment temperature on the temperature of polymer sheet forming,according to the refrigerator liner thermoforming process characteristics,three main heat transfer methods of polymer sheet during heating were analyzed: heat radiation,heat conduction and thermal convection. By studying the thermoelectric similarity theory,the equivalent model of thermal radiation and heat conduction,an equivalent heat source that takes into account environment temperature factors was created; according to the theory of dimensional analysis,the prediction model of temperature response of polymer sheet was established. Simulation was conducted with Electronics Workbench( EWB) software. Results show that in the process of polymer sheet heating,ABS sheet final forming temperature without the consideration of emvironment temperature is about 3 ℃ higher than that with the consideration of environment temperature of 25 ℃; the maximum absolute error is 2. 57% by comparing the four experimental results with the prediction results. The model has good prediction ability on the temperature response of the polymer sheet during the reheating process,and provides a theoretical basis for setting the heating tiles at different environment temperatures.
In order to analyze the impact of environment temperature on the temperature of polymer sheet forming,according to the refrigerator liner thermoforming process characteristics,three main heat transfer methods of polymer sheet during heating were analyzed: heat radiation,heat conduction and thermal convection. By studying the thermoelectric similarity theory,the equivalent model of thermal radiation and heat conduction,an equivalent heat source that takes into account environment temperature factors was created; according to the theory of dimensional analysis,the prediction model of temperature response of polymer sheet was established. Simulation was conducted with Electronics Workbench( EWB) software. Results show that in the process of polymer sheet heating,ABS sheet final forming temperature without the consideration of emvironment temperature is about 3 ℃ higher than that with the consideration of environment temperature of 25 ℃; the maximum absolute error is 2. 57% by comparing the four experimental results with the prediction results. The model has good prediction ability on the temperature response of the polymer sheet during the reheating process,and provides a theoretical basis for setting the heating tiles at different environment temperatures.
引文
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[4]宋玉华,张凯锋.塑料板材热成形过程三维温度场的有限元分析[J].塑性工程学报,1998,5(4):33-41.SONG Yuhua,ZHANG Kaifeng.Finite element analysis of three dimensional temperature field in thermoforming process of plastic sheet[J].Journal of Plasticity Engineering,1998,5(4):33-41.
[5]陈琼雁,陈少克,王现辉.聚合物热成型加热机理模型的研究及优化[J].计算机仿真,2014,31(8):234-239.CHEN Qiongyan,CHEN Shaoke,WANG Xianhui.Research on model and optimization of polymer thermoforming reheating mechanism[J].Computer Simulation,2014,31(8):234-239.
[6]李建田.真空成型机温度场的建模、测量与控制技术研究[D].济南:山东大学,2008.LI Jiantian.Research on modeling,measurement and control technology of temperature field of vacuum forming machine[D].Jinan:Shandong University,2008.
[7]YOUSEFI A,BENDADA A,DIRADDO R.Improved modeling for the reheat phase in thermoforming through an uncertainty treatment of the key parameters[J].Polymer Engineering&Science,2002,42(5):1115-1129.
[8]GIRARD P,THOMSON V,BOULET B,et al.Advanced in-cycle and cycle-to cycle on-line adaptive control for thermoforming of large thermoplastic sheets[R].SAE Technical Paper,2005.
[9]YANG S,BOULET B.Cycle-to-cycle control of the thermoforming reheat process[C].Lecture Notes in Engineering&Computer Science,2008,2173(1).
[10]ERCHIQUI F,SOULI M,YEDDER R B.Nonisothermal finiteelement analysis of thermoforming of polyethylene terephthalate sheet:Incomplete effect of the forming stage[J].Polymer Engineering&Science,2010,47(12):2129-2144.
[11]KHAN S A,GIRARD P,BHUIYAN N,et al.Improved mathematical modeling for the sheet reheat phase during thermoforming[J].Polymer Engineering&Science,2012,52(3):625-636.
[12]KHAN S A.Improved mathematical model for sheet reheat phase in thermoforming process[D].Montreal:Concordia University,2009.
[13]刘晓飞,刘晨枫,李永兵,等.超塑成形设备加热平台升温过程模拟[J].塑性工程学报,2017,24(2):134-140.LIU Xiaofei,LIU Chenfeng,LI Yongbing,et al.Temperaturerise process simulation of heating platform for superplasticforming equipment[J].Journal of Plasticity Engineering,2017,24(2):134-140.
[14]黄靖,陈章位,姚英豪.PCR热循环系统热性能影响因素的等效电路研究[J].浙江大学学报(工学版),2011,45(12):2216-2221.HUANG Jing,CHEN Zhangwei,YAO Yinghao.Study on factors affecting thermal performance of PCR thermal cycle system by equivalent circuit[J].Journal of Zhejiang University(Engineering Science),2011,45(12):2216-2221.
[15]章熙民.传热学[M].6版.北京:中国建筑工业出版社,2014.ZHANG Ximin.Heat transfer[M].Sixth Edition.Beijing:China Architecture and Building Press,2014.