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Article(id=1319293354068791541, tenantId=1146029695717560320, journalId=1316781260334530699, issueId=1319293220169826420, articleNumber=null, orderNo=null, doi=10.3969/j.issn.1005-0329.2025.06.011, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=null, receivedDate=1730044800000, receivedDateStr=2024-10-28, revisedDate=1742745600000, revisedDateStr=2025-03-24, acceptedDate=null, acceptedDateStr=null, onlineDate=1792473646895, onlineDateStr=2026-10-20, pubDate=1751212800000, pubDateStr=2025-06-30, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1792473646895, onlineIssueDateStr=2026-10-20, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1792473646895, creator=13701087609, updateTime=1792473646895, updator=13701087609, issue=Issue{id=1319293220169826420, tenantId=1146029695717560320, journalId=1316781260334530699, year='2025', volume='53', issue='6', pageStart='1', pageEnd='118', issueExtLink='null', onlineDate='null', pubDate='1751212800000', pubDateStr='2025-06-30', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=null, createTime=1792473614971, creator='13701087609', updateTime=1792473614971, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext=null, issueFiles=null, downloadFileDto=null}, startPage=82, endPage=88, ext={EN=ArticleExt(id=1319293354232369398, articleId=1319293354068791541, tenantId=1146029695717560320, journalId=1316781260334530699, language=EN, title=Sealing pair interference computation and analysis for quadruple‑offset butterfly valves, columnId=null, journalTitle=Fluid Machinery, columnName=null, runingTitle=null, highlight=null, articleAbstract=

To address the dynamic interference issue between the disc and seat during the opening/closing process of quadruple‑offset butterfly valves，precise mathematical modeling enables motion trajectory prediction and parameter optimization.Based on the eccentric structure，a three‑dimensional surface model of the sealing pair was established，deriving motion trajectory equations for any point on the disc.A dual interference detection method combining coordinate comparison and opening/closing angle inspection was proposed.Analysis of 200 cross‑sections of a DN300 valve's sealing pair shows：under initial parameters （first offset 31 mm），interference risks exist during operation；after optimization （first offset adjusted to 43 mm），the opening/closing angle deviation δ improves from initial negative values to zero interference risk on selected sections.This research provides precise theoretical guidance for designing and manufacturing quadruple‑offset butterfly valves，enhancing design efficiency and reliability.

, authors=Ziwen YANG, Na JIAO, Husheng LI, authorsList=Ziwen YANG, Na JIAO, Husheng LI, authorCompany=null, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1319293357780750599, articleId=1319293354068791541, tenantId=1146029695717560320, journalId=1316781260334530699, language=CN, title=四偏心蝶阀密封副干涉计算与分析, columnId=1317484287230853622, journalTitle=流体机械, columnName=设计计算, runingTitle=null, highlight=null, articleAbstract=

针对四偏心蝶阀在启闭过程中阀板与阀座的动态干涉问题，通过建立精确数学模型，实现了运动轨迹预测与参数优化；基于四偏心蝶阀的偏心结构，构建了密封副三维曲面模型，并推导出阀板任意点的运动轨迹方程。同时，提出基于坐标对比与启闭角检测的双重干涉检测方法。通过对DN300四偏心蝶阀密封副的200 个截面采样分析发现：在初始参数下（第一偏心31 mm），阀门在启闭过程中存在干涉风险；经参数优化后（第一偏心优化为43 mm），在选定的截面上启闭角偏差δ从初始负值得到改善，干涉风险降为零。研究为四偏心蝶阀的设计和制造提供了精确的理论指导，能够有效提高设计效率和可靠性。

, authors=杨自文, 焦娜, 李虎生, authorsList=杨自文, 焦娜, 李虎生, authorCompany=null, correspAuthors=null, authorNote=

杨自文（1989），男，工程师，主要从事控制阀研发及工程技术服务工作，通信地址：751100宁夏回族自治区吴忠市利通区开元大道中国自动化产业园，E-mail：。

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杨自文（1989），男，工程师，主要从事控制阀研发及工程技术服务工作，通信地址：751100宁夏回族自治区吴忠市利通区开元大道中国自动化产业园，E-mail：。

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杨自文（1989），男，工程师，主要从事控制阀研发及工程技术服务工作，通信地址：751100宁夏回族自治区吴忠市利通区开元大道中国自动化产业园，E-mail：。

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Detection results of opening/closing angles

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截面Z/mmβ1/（°）β2/（°）τ1/（°）τ2/（°）δ1/（°）δ2/（°）结果
60100-17.67332.489-15.34713.983-2.32618.506干涉
70100-17.73632.539-16.00514.629-1.73117.909干涉
80100-17.80132.589-16.66415.280-1.13717.309干涉
90100-17.86632.640-17.32315.936-0.54316.704干涉
100100-17.93232.692-17.98216.5970.05016.095不干涉
110100-18.00032.745-18.64217.2620.64315.483不干涉
120100-18.06832.798-19.30217.9321.23414.866不干涉
130100-18.13732.852-19.96218.6061.82514.246不干涉
140100-18.20832.908-20.62219.2852.41413.623不干涉
), ArticleFig(id=1319293363468226867, tenantId=1146029695717560320, journalId=1316781260334530699, articleId=1319293354068791541, language=CN, label=表1, caption=

启闭角检测结果

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截面Z/mmβ1/（°）β2/（°）τ1/（°）τ2/（°）δ1/（°）δ2/（°）结果
60100-17.67332.489-15.34713.983-2.32618.506干涉
70100-17.73632.539-16.00514.629-1.73117.909干涉
80100-17.80132.589-16.66415.280-1.13717.309干涉
90100-17.86632.640-17.32315.936-0.54316.704干涉
100100-17.93232.692-17.98216.5970.05016.095不干涉
110100-18.00032.745-18.64217.2620.64315.483不干涉
120100-18.06832.798-19.30217.9321.23414.866不干涉
130100-18.13732.852-19.96218.6061.82514.246不干涉
140100-18.20832.908-20.62219.2852.41413.623不干涉
), ArticleFig(id=1319293363564695860, tenantId=1146029695717560320, journalId=1316781260334530699, articleId=1319293354068791541, language=EN, label=Tab.2, caption=

Coordinates and comparison results

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截面Z/mmX/mmY1/mmY1'/mmY2/mmY2'/mmr1/mmr2/mmY1'-Y1/mmY2'-Y2/mm
20100423.133167.901171.278-36.261-36.645111.837100.7873.377-0.384
40100420.933167.417169.885-35.736-35.952110.935100.6222.468-0.216
60100418.733166.886168.487-35.159-35.254110.082100.5041.601-0.095
80100416.533166.305167.083-34.527-34.550109.280100.4340.778-0.023
100100414.333165.674165.674-33.841-33.841108.529100.41300
120100412.133164.993164.259-33.099-33.126107.831100.439-0.734-0.027
140100409.933164.260162.839-32.299-32.405107.186100.512-1.421-0.106
160100407.733163.474161.412-31.440-31.679106.597100.634-2.062-0.239
180100405.533162.635159.979-30.521-30.946106.063100.802-2.656-0.425
200100403.333161.739158.540-29.540-30.206105.586101.018-3.199-0.666
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坐标及对比结果

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截面Z/mmX/mmY1/mmY1'/mmY2/mmY2'/mmr1/mmr2/mmY1'-Y1/mmY2'-Y2/mm
20100423.133167.901171.278-36.261-36.645111.837100.7873.377-0.384
40100420.933167.417169.885-35.736-35.952110.935100.6222.468-0.216
60100418.733166.886168.487-35.159-35.254110.082100.5041.601-0.095
80100416.533166.305167.083-34.527-34.550109.280100.4340.778-0.023
100100414.333165.674165.674-33.841-33.841108.529100.41300
120100412.133164.993164.259-33.099-33.126107.831100.439-0.734-0.027
140100409.933164.260162.839-32.299-32.405107.186100.512-1.421-0.106
160100407.733163.474161.412-31.440-31.679106.597100.634-2.062-0.239
180100405.533162.635159.979-30.521-30.946106.063100.802-2.656-0.425
200100403.333161.739158.540-29.540-30.206105.586101.018-3.199-0.666
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The detection results of the corrected opening/closing angle

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截面Z/mmβ1/（°）β2/（°）τ1/（°）τ2/（°）δ1/（°）δ2/（°）结果
60100-17.67332.489-21.71619.8684.04312.622不干涉
70100-17.73632.539-22.34820.5114.61112.028不干涉
80100-17.80132.589-22.97921.1585.17811.431不干涉
90100-17.86632.640-23.60921.8085.74310.832不干涉
100100-17.93232.692-24.23922.4626.30610.230不干涉
110100-18.00032.745-24.86723.1186.8679.627不干涉
120100-18.06832.798-25.49323.7777.4259.021不干涉
130100-18.13732.852-26.11824.4397.9818.413不干涉
140100-18.20832.908-26.74225.1048.5347.804不干涉
), ArticleFig(id=1319293363799576887, tenantId=1146029695717560320, journalId=1316781260334530699, articleId=1319293354068791541, language=CN, label=表3, caption=

修正后启闭角检测结果

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截面Z/mmβ1/（°）β2/（°）τ1/（°）τ2/（°）δ1/（°）δ2/（°）结果
60100-17.67332.489-21.71619.8684.04312.622不干涉
70100-17.73632.539-22.34820.5114.61112.028不干涉
80100-17.80132.589-22.97921.1585.17811.431不干涉
90100-17.86632.640-23.60921.8085.74310.832不干涉
100100-17.93232.692-24.23922.4626.30610.230不干涉
110100-18.00032.745-24.86723.1186.8679.627不干涉
120100-18.06832.798-25.49323.7777.4259.021不干涉
130100-18.13732.852-26.11824.4397.9818.413不干涉
140100-18.20832.908-26.74225.1048.5347.804不干涉
), ArticleFig(id=1319293363866685752, tenantId=1146029695717560320, journalId=1316781260334530699, articleId=1319293354068791541, language=EN, label=Tab.4, caption=

The corrected coordinates and comparison results

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截面Z/mmX/mmY1/mmY1'/mmY2/mmY2'/mmr1/mmr2/mmY1'-Y1/mmY2'-Y2/mm
20100423.133168.890171.278-37.334-36.645114.823104.0912.3880.689
40100420.933168.164169.885-36.546-35.952114.176104.1841.7210.594
60100418.733167.386168.487-35.702-35.254113.581104.3241.1010.448
80100416.533166.557167.083-34.801-34.550113.037104.5100.5260.251
100100414.333165.674165.674-33.841-33.841112.546104.74100
120100412.133164.737164.259-32.820-33.126112.108105.018-0.478-0.306
140100409.933163.744162.839-31.735-32.405111.725105.339-0.905-0.670
160100407.733162.693161.412-30.586-31.679111.397105.705-1.281-1.093
180100405.533161.583159.979-29.369-30.946111.124106.115-1.604-1.577
200100403.333160.412158.540-28.081-30.206110.907106.568-1.872-2.125
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修正后坐标及对比结果

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截面Z/mmX/mmY1/mmY1'/mmY2/mmY2'/mmr1/mmr2/mmY1'-Y1/mmY2'-Y2/mm
20100423.133168.890171.278-37.334-36.645114.823104.0912.3880.689
40100420.933168.164169.885-36.546-35.952114.176104.1841.7210.594
60100418.733167.386168.487-35.702-35.254113.581104.3241.1010.448
80100416.533166.557167.083-34.801-34.550113.037104.5100.5260.251
100100414.333165.674165.674-33.841-33.841112.546104.74100
120100412.133164.737164.259-32.820-33.126112.108105.018-0.478-0.306
140100409.933163.744162.839-31.735-32.405111.725105.339-0.905-0.670
160100407.733162.693161.412-30.586-31.679111.397105.705-1.281-1.093
180100405.533161.583159.979-29.369-30.946111.124106.115-1.604-1.577
200100403.333160.412158.540-28.081-30.206110.907106.568-1.872-2.125
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四偏心蝶阀密封副干涉计算与分析
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杨自文 , 焦娜 , 李虎生
流体机械 | 设计计算 2025,53(6): 82-88
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流体机械 |设计计算 2025 , 53 (6) : 82 -88
四偏心蝶阀密封副干涉计算与分析
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杨自文 , 焦娜, 李虎生
作者信息
  • 吴忠仪表工程技术服务有限公司，宁夏 吴忠 751100
作者简介:

杨自文（1989），男，工程师，主要从事控制阀研发及工程技术服务工作，通信地址：751100宁夏回族自治区吴忠市利通区开元大道中国自动化产业园，E-mail：。

Sealing pair interference computation and analysis for quadruple‑offset butterfly valves
Ziwen YANG , Na JIAO, Husheng LI
Affiliations
  • Wuzhong Instrument Engineering Technical Service Co.，Ltd.，Wuzhong 751100，China
出版时间: 2025-06-30 doi: 10.3969/j.issn.1005-0329.2025.06.011
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摘要
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针对四偏心蝶阀在启闭过程中阀板与阀座的动态干涉问题，通过建立精确数学模型，实现了运动轨迹预测与参数优化；基于四偏心蝶阀的偏心结构，构建了密封副三维曲面模型，并推导出阀板任意点的运动轨迹方程。同时，提出基于坐标对比与启闭角检测的双重干涉检测方法。通过对DN300四偏心蝶阀密封副的200 个截面采样分析发现：在初始参数下（第一偏心31 mm），阀门在启闭过程中存在干涉风险；经参数优化后（第一偏心优化为43 mm），在选定的截面上启闭角偏差δ从初始负值得到改善，干涉风险降为零。研究为四偏心蝶阀的设计和制造提供了精确的理论指导，能够有效提高设计效率和可靠性。

四偏心蝶阀  /  干涉  /  启闭角  /  参数优化

To address the dynamic interference issue between the disc and seat during the opening/closing process of quadruple‑offset butterfly valves，precise mathematical modeling enables motion trajectory prediction and parameter optimization.Based on the eccentric structure，a three‑dimensional surface model of the sealing pair was established，deriving motion trajectory equations for any point on the disc.A dual interference detection method combining coordinate comparison and opening/closing angle inspection was proposed.Analysis of 200 cross‑sections of a DN300 valve's sealing pair shows：under initial parameters （first offset 31 mm），interference risks exist during operation；after optimization （first offset adjusted to 43 mm），the opening/closing angle deviation δ improves from initial negative values to zero interference risk on selected sections.This research provides precise theoretical guidance for designing and manufacturing quadruple‑offset butterfly valves，enhancing design efficiency and reliability.

quadruple‑offset butterfly valve  /  interference  /  opening/closing angle  /  parameter optimization
杨自文, 焦娜, 李虎生. 四偏心蝶阀密封副干涉计算与分析. 流体机械, 2025 , 53 (6) : 82 -88 . DOI: 10.3969/j.issn.1005-0329.2025.06.011
Ziwen YANG, Na JIAO, Husheng LI. Sealing pair interference computation and analysis for quadruple‑offset butterfly valves[J]. Fluid Machinery, 2025 , 53 (6) : 82 -88 . DOI: 10.3969/j.issn.1005-0329.2025.06.011
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0　引言
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三偏心蝶阀作为一种常见的流体控制设备在工业领域中扮演着至关重要的角色［1-4］。伴随着技术的不断发展，四偏心蝶阀作为对三偏心蝶阀的改进型式，逐渐引起了广泛的关注和应用。四偏心蝶阀是一种具有正圆截面阀座的新型蝶阀，作为对三偏心蝶阀的改进型式，其特有的偏心结构有效解决了三偏心蝶阀密封环磨损等问题，以OHL-Gutermuth为代表的国际制造商研发的四偏心蝶阀已广泛应用于工业领域。国内外相关学者对三偏心和四偏心蝶阀做了大量的研究工作。周位伟等［5］简述了四偏心蝶阀的结构演变，并通过有限元分析，分析了四偏心蝶阀密封圈的应力分布云图。蒋文芝等［6］针对新型正圆截面三偏心蝶阀的干涉问题，分析了其干涉条件，开发了基于MATLAB编程软件的干涉分析软件。张清双等［7］研究给出了高温高压四偏心蝶阀设计及零件强度的计算方法。陈昊［8］基于数字孪生技术，以三偏心蝶阀的密封结构在启闭过程不产生干涉现象为优化前提，从关闭状态下密封圈与密封面的应力分布对密封性能及材料磨损的角度进行了多目标优化。李树勋等［9］针对三偏心蝶阀在高温工况下密封性能欠佳的问题，给出了基于NSGA-Ⅱ遗传算法对密封结构进行多目标优化设计，有效提升了三偏心蝶阀的密封性能。QI等［10］通过耦合方法对四偏心蝶阀的7 mm多层次式密封圈进行了仿真和优化设计，降低了蝶阀的开启扭矩。王志敏［11］使用C#.NET进行软件编程，从计算三偏心阀板密封副的启闭角分析了阀板的干涉问题。KAN等［12］提出了三偏心蝶阀密封面的数学模型，研究了偏心参数对干涉面积和位置的影响，结果表明，随着轴向偏心和偏心角的增大，干涉面积先减小、后增大；随着径向偏心的增大，干涉面积呈单调减小趋势。吴浩宇［13］利用微积分原理，利用Visual Studio 2012软件编写了三偏心蝶阀的干涉程序，并开发了智能设计软件，提高了产品的设计效率。杨兆龙［14］通过研究，总结出三偏心值对蝶阀所受摩擦力矩和密封力矩的影响，列出了蝶阀各偏心值的适宜区域。这些研究都对偏心蝶阀的发展提供了宝贵的设计经验。
无论三偏心或四偏心蝶阀，当偏心参数设计不合理时都会面临密封副干涉的风险［15-20］。尽管国内外学者对三偏心蝶阀的干涉问题已有较多研究，但四偏心蝶阀因其独特的第四偏心结构（密封副截面由椭圆修正为正圆），其干涉机理与三偏心蝶阀存在本质差异。现有研究多集中于偏心蝶阀的优化设计或四偏心蝶阀的密封圈应力分析，而对四偏心蝶阀开关过程中阀板与阀座密封副的动态干涉问题缺乏系统性研究。基于此，本文通过建立四偏心蝶阀密封副的通用数学模型，精确描述阀板运动轨迹，并提出基于坐标对比和启闭角的干涉检验方法，实现快速检测与参数优化。
1　四偏心蝶阀结构
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四偏心蝶阀是在三偏心蝶阀结构的基础上改进而来［5］，其密封副结构如图1所示。偏心1为密封副中心与转轴回转中心形成的轴向偏心；偏心2为流道中心与转轴回转中心形成的径向偏心；偏心3为密封副锥体轴线与阀体流道中心形成的角度偏心；偏心4为构成三偏心蝶阀密封副的正圆锥体的锥底压缩成椭圆，形成一个异形的椭圆锥体，密封副截面则由原来三偏心蝶阀的椭圆修正为正圆，形成延着转轴轴向的偏心。如上所述，在设计过程中，四偏心蝶阀的转轴位置决定了偏心1和偏心2，偏心结构不合理则会导致蝶阀在动作过程中发生卡涩，阀门无法开启或关闭。设计时需要进行各个参数值的优化，避免发生干涉。
2　四偏心蝶阀曲面方程的推导
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建立如图2所示的坐标系。以流道方向建立X轴，转轴的轴向为Z轴，图中点D,O,E组成的图形为阀座在XOY平面的投影。OF是由坐标原点出发并连接密封面各截面投影中心的连线，故DF=EF。其中，H为阀座中性面到坐标原点的距离；B为密封面的宽度；A为阀座中性面到转轴中心的距离，即偏心1；e为阀座中性面的投影中心至转轴中心的距离，即偏心2；∠α为OD与X轴的夹角；∠θ为OF与X轴的夹角。
截面视图如图3所示。对于密封面上的任意点PX0,Y0,Z0，过P点做平行于YOZ平面的截面，根据定义可知该截面形状为正圆；过P点做PG垂直于D'E'，并设截面的半径为R。
由图3可知：
GF'=GK'-F'K'
GP2+GF'2=PF'2=R2
D'F'=D'K'-F'K'=R
从图3可以看出，在RT􀳐OK'F'和RT􀳐OK'D'中，F'K'=OK'tanθ，D'K'=OK'tanα。同时，OK'=X0，GK'=Y0，GP=Z0。联合式（1）~（3），得到四偏心蝶阀阀座锥面的曲面方程：
Z2+Y-Xtanθ2=(Xtanα-Xtanθ)2
变换后可得：
Y1=X2(tanα-tanθ)2-Z2+Xtanθ
Y2=-X2(tanα-tanθ)2-Z2+Xtan θ
3　阀板上点的运动轨迹
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当Z=0时，由式（5）（6）可以推导出：Y1=Xtanα，Y2=2Xtanθ-Xtanα，其截面图形为2条直线；当Z≠0时，其截面为曲线，如图4所示。
当阀板沿视图方向顺时针转动时，阀板上的任意点的轨迹为圆弧。不干涉条件的判定依据为：在转动范围内，阀板运动轨迹始终位于截面曲线的内侧，且应逐渐远离截面曲线。
4　干涉分析
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根据上述推导的结果，提出一种四偏心蝶阀运动干涉检测的方法。干涉分析模型如图5所示。对于任意Z=Z0截面和X=X0截面，两垂直截面相交于线段MN，设M点坐标为(X0,Y10,Z0），N点坐标为(X0,Y20,Z0），其中Y10和Y20的值由式（5）（6）求出。
根据设计的偏心参数，可得转轴回转中心O'坐标为(H+A,Htanθ-e,Z0)，则M点和N点的回转半径r1，r2分别为：
       r1=(H+A-X0)2+(Htanθ-e-Y10)2
r2=(H+A-X0)2+(Htanθ-e-Y20)2
根据圆的曲线公式、回转中心O'的坐标，以及半径r1，r2的值，即可推导出M点和N点回转路径的曲线方程如式（9）（10）所示。
Y1'=r12-H+A-X2+Htanθ-e
X∈H-B/2,H+A+Y10-Htanθ+e
其中，X∈H+A-r2,H+B/2。
此时，对于不同的X和Z的取值，可由式（5）（6）（9）（10）分别求出Y1，Y2Y1'，Y2'的值。当满足以下条件时，可证明M点和N点运动轨迹无干涉：
Y1'-Y1>0               (H-B/2≤X<X0)Y2'-Y2>0               (H-B/2≤X<X0)Y1'-Y1<0                (X0<X≤H+B/2)Y2'-Y2<0                (X0<X≤H+B/2)Y1'=Y1                                         (X=X0)Y2'=Y2                                        (X=X0)
式（11）较为复杂，不便于手动计算，可使用编程方法，设置适当的步长，循环控制X0和Z0截面，当所有结果均满足式（11）时，表明阀板动作全过程与阀座动作无干涉。其中，X0∈H-B/2,H+B/2，Z0∈-X0tanα-tanθ,X0tanα-tanθ。
5　启闭角检测
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启闭角检测模型如图6所示。在给定的Z=Z0截面和X=X0截面上，M点顺时针运动时，其运动方向与X轴形成的夹角为∠τ1，截面曲线在M点的切线方向与X轴形成的夹角为∠β1，截面曲线在M点的切线方向与M点的运动方向的夹角∠δ1称为阀门的启闭角［11］。
为防止M点运动时发生干涉，则启闭角应满足：
δ1=β1-τ1δ1>0
其中，∠τ1的值可根据M点和O'点的坐标由三角函数求出：
∠τ1=arccos (Y10-Htanθ+er1)
为求得∠β1的值，可分别对式（5）和式（6）求取一阶导数，通过一阶导数求出截面曲线在M点和N点的斜率，再由斜率的反三角函数计算出∠β1的值。求解一阶导数方程如下。
对于M点：
dydx=X(-tanθ+tanα)2-Z2+X2(-tanθ+tanα)2+tanθ
对于N点：
dydx=-X(-tanθ+tanα)2-Z2+X2(-tanθ+tanα)2+tanθ
同理，可由N点坐标和式（15）计算出另一侧的启闭角∠δ2进行干涉检测。同时，启闭角的计算可以作为优化设计的依据。通过阀座各个截面的启闭角计算预判其受力均匀程度，以及可能造成的摩擦影响。
6　模拟和验证
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按照以下参数对DN300四偏心蝶阀的设计进行验证：∠α=26.56°，∠θ=9.04°，H=414.333 mm，B=22 mm，e=4.25 mm，A=31 mm，密封环宽度b=10 mm。将整个密封副截取为200个截面，在关闭位置，密封环处于第55~145截面之间，设置Z=100 mm。按照上述推导方法编制干涉分析软件进行计算，计算机软件导出启闭角检测结果见表1（部分结果）。由导出结果可知，在检测截面中，启闭角发生小于0的情况，判定为干涉。使用SolidWorks软件［21-23］模拟的结果如图7所示。启用干涉检查后，检测到阀门开度在70.87°以内均有干涉发生，模拟结果与软件计算结果一致。
由干涉计算软件导出Z=100 mm，X=414.333 mm时各截面的纵坐标Y1，Y1'，Y2，Y2'，并求取其差值，其结果见表2（其他Z值检测结果未展示）。计算结果未满足式（11）的条件，与启闭角检测结果（见表1）一致，阀门在给定的参数条件下必将产生干涉。
修正参数后再次进行计算和模拟，遍历所有截面和Z值，均未发生干涉情况。修正参数值如下：∠α=26.56°，∠θ=9.04°，H=414.333 mm，B=22 mm，e=4.25 mm，A=43 mm，b=10 mm。
表3列出修正后软件导出启闭角的检测结果，其结果满足式（12）的不干涉条件。表4列出修正后软件导出坐标的检测结果，其结果满足式（11）的不干涉条件。
7　样机试验
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采用上述优化数据，制作阀门样机，规格为DN300-Class600，选配执行机构规格为ZSH-C4-500。该阀门被应用于宁夏某大型煤化工企业气化装置中（见图8），用于去火炬合成气的切断，阀门最大关闭压差达到6.4 MPa。通过测试，阀门在全行程内无卡涩故障；阀门在25%，50%和75%开度时，最大死区均小于1%。使用氮气进行阀座泄漏测试，泄漏量为0 mL/min，测试结果满足GB/T 4213—2008《气动调节阀》中Ⅵ级泄漏等级要求。
8　结论
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（1）建立基于四偏心蝶阀参数的密封副曲面方程，可以实现阀板密封环任意点运动轨迹的精确预测，经SolidWorks软件仿真验证，与理论模型高度吻合，可实现在给定设计参数下的干涉检测。
（2）通过干涉分析软件对DN300规格阀门的200个截面进行计算分析，实现了通过启闭角检测来优化设计参数的方法，可以极大地提高设计效率。
（3）合理优化设计参数可以显著降低四偏心蝶阀的干涉风险，并提升综合性能。

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2025年第53卷第6期
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doi: 10.3969/j.issn.1005-0329.2025.06.011
  • 接收时间：2024-10-28
  • 首发时间：2026-10-20
  • 出版时间：2025-06-30
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  • 收稿日期：2024-10-28
  • 修回日期：2025-03-24
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2种不同金属材料的力学参数
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鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
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