Numerical Calculation of Meridional Path Line and Optimum Approximation with Multi-segment Arc of Hydrodynamic Torque Converter

The modeling precision of hydraulic torque converter is investigated and various factors affect the modeling precision are analyzed,a new high precision modeling method is proposed. Based on the meridional path line equation,the calculation formula of curvature radius and curvature center coordinate...

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Main Authors: Liu Shiping, Zhang Zongfu, Zhang Zhihua, Jia Jiantao
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Transmission 2017-01-01
Series:Jixie chuandong
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Online Access:http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.07.016
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author Liu Shiping
Zhang Zongfu
Zhang Zhihua
Jia Jiantao
author_facet Liu Shiping
Zhang Zongfu
Zhang Zhihua
Jia Jiantao
author_sort Liu Shiping
collection DOAJ
description The modeling precision of hydraulic torque converter is investigated and various factors affect the modeling precision are analyzed,a new high precision modeling method is proposed. Based on the meridional path line equation,the calculation formula of curvature radius and curvature center coordinates is derived.By using numerical calculation method,the curves of curvature radius and curvature center coordinates versus the polar angle are obtained. According to this law,by using a non-elementary function multi-section circular arcs uniformly approximation,the maximal absolute error of approximation reaches a minimum. A parametric program code is developed and all equations are verified. By using the program,the radius and center coordinates of each circular arc,and polar angle of each arc joining point are obtained directly. In addition,the absolute error and percentage error of approximation can be obtained as well,which is convenient to discriminate if the approximation meets the precision requirement. The investigation results indicate that the method is feasible,can improve modeling accuracy significantly,and is of engineering application value.
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id doaj-art-64ba8039632346e18b74b4f4893b2a22
institution Kabale University
issn 1004-2539
language zho
publishDate 2017-01-01
publisher Editorial Office of Journal of Mechanical Transmission
record_format Article
series Jixie chuandong
spelling doaj-art-64ba8039632346e18b74b4f4893b2a222025-01-10T14:22:26ZzhoEditorial Office of Journal of Mechanical TransmissionJixie chuandong1004-25392017-01-0141747829931510Numerical Calculation of Meridional Path Line and Optimum Approximation with Multi-segment Arc of Hydrodynamic Torque ConverterLiu ShipingZhang ZongfuZhang ZhihuaJia JiantaoThe modeling precision of hydraulic torque converter is investigated and various factors affect the modeling precision are analyzed,a new high precision modeling method is proposed. Based on the meridional path line equation,the calculation formula of curvature radius and curvature center coordinates is derived.By using numerical calculation method,the curves of curvature radius and curvature center coordinates versus the polar angle are obtained. According to this law,by using a non-elementary function multi-section circular arcs uniformly approximation,the maximal absolute error of approximation reaches a minimum. A parametric program code is developed and all equations are verified. By using the program,the radius and center coordinates of each circular arc,and polar angle of each arc joining point are obtained directly. In addition,the absolute error and percentage error of approximation can be obtained as well,which is convenient to discriminate if the approximation meets the precision requirement. The investigation results indicate that the method is feasible,can improve modeling accuracy significantly,and is of engineering application value.http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.07.016Hydraulic torque converterModeling precisionMeridional path lineMulti-section arc uniform approximation
spellingShingle Liu Shiping
Zhang Zongfu
Zhang Zhihua
Jia Jiantao
Numerical Calculation of Meridional Path Line and Optimum Approximation with Multi-segment Arc of Hydrodynamic Torque Converter
Jixie chuandong
Hydraulic torque converter
Modeling precision
Meridional path line
Multi-section arc uniform approximation
title Numerical Calculation of Meridional Path Line and Optimum Approximation with Multi-segment Arc of Hydrodynamic Torque Converter
title_full Numerical Calculation of Meridional Path Line and Optimum Approximation with Multi-segment Arc of Hydrodynamic Torque Converter
title_fullStr Numerical Calculation of Meridional Path Line and Optimum Approximation with Multi-segment Arc of Hydrodynamic Torque Converter
title_full_unstemmed Numerical Calculation of Meridional Path Line and Optimum Approximation with Multi-segment Arc of Hydrodynamic Torque Converter
title_short Numerical Calculation of Meridional Path Line and Optimum Approximation with Multi-segment Arc of Hydrodynamic Torque Converter
title_sort numerical calculation of meridional path line and optimum approximation with multi segment arc of hydrodynamic torque converter
topic Hydraulic torque converter
Modeling precision
Meridional path line
Multi-section arc uniform approximation
url http://www.jxcd.net.cn/thesisDetails#10.16578/j.issn.1004.2539.2017.07.016
work_keys_str_mv AT liushiping numericalcalculationofmeridionalpathlineandoptimumapproximationwithmultisegmentarcofhydrodynamictorqueconverter
AT zhangzongfu numericalcalculationofmeridionalpathlineandoptimumapproximationwithmultisegmentarcofhydrodynamictorqueconverter
AT zhangzhihua numericalcalculationofmeridionalpathlineandoptimumapproximationwithmultisegmentarcofhydrodynamictorqueconverter
AT jiajiantao numericalcalculationofmeridionalpathlineandoptimumapproximationwithmultisegmentarcofhydrodynamictorqueconverter