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鋼絞線絲間變形與感應(yīng)加熱效果數(shù)學(xué)模型的研究

發(fā)布時(shí)間:2018-01-21 00:17

  本文關(guān)鍵詞: 鋼絞線 絲間變形 感應(yīng)加熱 有限元分析法 數(shù)學(xué)模型 出處:《應(yīng)用數(shù)學(xué)和力學(xué)》2016年09期  論文類型:期刊論文


【摘要】:根據(jù)Hertz(赫茲)接觸理論結(jié)合鋼絞線的結(jié)構(gòu)特性推導(dǎo)了絲間變形的計(jì)算方法,采用該方法計(jì)算鋼絞線感應(yīng)加熱過程中絲間接觸面寬度的大小,為建立精確的鋼絞線感應(yīng)加熱有限元模型提供了一種新方法.利用有限元分析法計(jì)算鋼絞線感應(yīng)加熱溫度值,得到不同電流密度和頻率下的溫度數(shù)據(jù).通過對溫度數(shù)據(jù)進(jìn)行回歸分析,采用平均相對誤差來評價(jià)多個(gè)回歸模型擬合程度的優(yōu)劣,建立了感應(yīng)加熱效果的最優(yōu)數(shù)學(xué)模型.該模型為應(yīng)用經(jīng)典控制理論實(shí)現(xiàn)鋼絞線感應(yīng)加熱溫度控制提供了理論依據(jù).
[Abstract]:Based on Hertzs-Hertz contact theory and the structural characteristics of steel strands, the calculation method of wire deformation is derived, and the width of interwire contact surface during induction heating of steel strands is calculated by using this method. This paper provides a new method for establishing an accurate finite element model of induction heating of steel strands and calculates the temperature of induction heating of steel strands by finite element analysis. The temperature data of different current density and frequency are obtained. Through the regression analysis of temperature data, the average relative error is used to evaluate the fit degree of multiple regression models. The optimal mathematical model of induction heating effect is established, which provides a theoretical basis for the application of classical control theory to the control of induction heating temperature of steel strands.
【作者單位】: 河北工業(yè)大學(xué)電氣工程學(xué)院;天津電子信息職業(yè)技術(shù)學(xué)院電子技術(shù)系;
【基金】:國家自然科學(xué)基金(51578208)~~
【分類號】:O302
【正文快照】: 引言擬結(jié)果;Wang[3]等推導(dǎo)了鋼絲繩內(nèi)鋼絲與鋼絲繩空間幾何關(guān)系和半徑關(guān)系的數(shù)學(xué)模型,給出了基于MATLAB的計(jì)算半徑方法、基于CATIA V5的鋼絲繩建模方法,分析了鋼絲繩的幾何特性,為鋼絲繩的快速建模及各種載荷下的機(jī)械性能分析奠定基礎(chǔ);任志乾等[4]在單股鋼絲繩受靜載荷和沖擊,

本文編號:1449867

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