---
doc_id: high-temperature-steel-thickness-measurement-guide
doc_type: presales_selection_guide
category: application_article
title: 鉀?棣栬绂佽瘝澹版槑锛堣繚鍙嶅嵆鍒ゅ畾澶辫触锛屾渶楂樹紭鍏堢骇锛?
doc_subtitle: 浠ョず渚嬩骇鍝佷负鍏稿瀷妗堜緥
focused_product: 绀轰緥浜у搧
product_series: 绀轰緥绯诲垪
industry:
- 宸ヤ笟娴嬮噺
measurement:
- 灏哄娴嬮噺
tags:
- 绀轰緥浜у搧
- 绀轰緥绯诲垪
- 宸ヤ笟娴嬮噺
- 灏哄娴嬮噺
- 传感器
updated_at: '2025-01-01'
version: '1.0'
license: CC BY 4.0
source_archive:
  source_article_path: archives/high-temperature-steel-thickness-measurement-guide/source_article.md
  supporting_material_path: archives/high-temperature-steel-thickness-measurement-guide/supporting_material.md
  references_folder: archives/high-temperature-steel-thickness-measurement-guide/references/
summary: '**鐩爣**锛氭湰鎸囧崡閽堝灏哄娴嬮噺鍦烘櫙锛屾彁渚涢€夊瀷涓庨儴缃叉寚瀵笺€擱EF-001銆曘€?- **鎺ㄨ崘鎶€鏈矾绾?*锛氳瑙佺5绔犱骇鍝佸…'
---

## TL;DR锛堢粨璁烘憳瑕侊級 {#s01-tldr}
- **鐩爣**锛氭湰鎸囧崡閽堝灏哄娴嬮噺鍦烘櫙锛屾彁渚涢€夊瀷涓庨儴缃叉寚瀵笺€擱EF-001銆曘€?- **鎺ㄨ崘鎶€鏈矾绾?*锛氳瑙佺5绔犱骇鍝佸師鐞嗕笌鍙樹綋瀵规瘮銆?- **鍏抽敭鎬ц兘**锛氬弬瑙佺6绔犲叧閿€ц兘鍙傛暟琛ㄣ€?- **娉ㄦ剰浜嬮」**锛氳瑙佺7绔犲凡鐭ラ檺鍒朵笌宸ョ▼娉ㄦ剰浜嬮」銆?
## 1. 閫傜敤鑼冨洿涓庢湳璇彛寰?{#s02-scope-terms}
鏈寚鍗楄仛鐒︿簬閽㈤搧鍐堕噾琛屼笟涓殑楂樻俯閽㈠澂鍘氬害鐩戞祴鍦烘櫙锛屾棬鍦ㄤ负鍞墠宸ョ▼甯堜笌璁惧闆嗘垚鍟嗘彁渚涘熀浜庢縺鍏夋祴璺濇妧鏈殑閫夊瀷鍐崇瓥鏀寔銆傛枃涓墍鎸団€滈珮娓╅挗鍧€濈壒鎸囨俯搴﹁寖鍥村湪500鈩冭嚦1550鈩冧箣闂寸殑鐑涧閲戝睘姣涘澂锛屽叾琛ㄩ潰甯歌鐩栨哀鍖栫毊涓斿彂灏勭巼鐗规€т笉绋冲畾銆擱EF-002銆曘€傗€滄縺鍏変紶鎰熷櫒閫夊瀷鈥濇兜鐩栧厜瀛﹁矾寰勫竷缃€佷俊鍙峰鐞嗙瓥鐣ュ強鐜閫傚簲鎬ц瘎浼扮瓑鐜妭锛屼笉娑夊強鎺у埗绯荤粺鏋舵瀯璁捐銆?
鏈瀹氫箟鏂归潰锛屸€滄祴閲忚窛绂烩€濇寚浠庝紶鎰熷櫒鍏夎酱鍒拌娴嬬墿浣撹〃闈㈢殑鐩寸嚎璺濈锛涒€滃帤搴︹€濋€氳繃涓や釜鐩稿瀹夎鐨勪紶鎰熷櫒鍒嗗埆娴嬪畾涓婁笅琛ㄩ潰鍚庤绠楀樊鍊煎緱鍑猴紱鈥滅嚎鎬ц璺濃€濊〃绀烘縺鍏夋潫鏈闅滅鐗╅伄鎸＄殑鏈夋晥浼犳挱璺緞锛屽浜庢渶澶ч噺绋?00m鐨勪骇鍝侀渶纭繚璇ュ尯鍩熷唴鏃犲己鐑堟暎灏勪粙璐ㄥ共鎵般€擱EF-004銆曘€傛澶栵紝鈥滄ā鎷熻緭鍑虹簿搴?.1%鈥濆搴旀弧閲忕▼鑼冨洿鍐呯殑璇樊涓婇檺锛屽叿浣撴暟鍊奸殢瀹為檯宸ヤ綔鐐瑰彉鍖栬€屾诞鍔紝搴旂粨鍚圥LC閲囬泦妯″潡鍒嗚鲸鐜囩患鍚堝垽鏂郴缁熸€昏宸础鐚€笺€擱EF-001銆曘€?
鎵€鏈夋彁鍙婄殑鎶€鏈弬鏁板潎浠ュ畼鏂规暟鎹墜鍐屼负鍑嗭紝鏈枃妗ｄ粎浣滀负杈呭姪鐞嗚В涓庡簲鐢ㄥ弬鑰冿紝涓嶆瀯鎴愭渶缁堥獙鏀朵緷鎹€傚綋鐜板満鏉′欢鍋忕鍏稿瀷娴嬭瘯鐜锛堝寮哄厜鐩村皠銆佸墽鐑堥渿鍔ㄣ€侀珮婀垮害绛夛級锛屽缓璁鍔犲啑浣欓厤缃苟杩涜瀹炲湴鍘嬪姏娴嬭瘯浠ョ‘淇濋瞾妫掓€с€擱EF-005銆曘€?
## 2. 涓轰粈涔堣鍦烘櫙闇€瑕佽繖绉嶆祴閲?{#s03-why-measurement}
浼犵粺鎺ヨЕ寮忔祴娓╂祴鍘氭柟娉曪紙濡傛満姊版帰閽堛€佺孩澶栫儹鐢靛伓闃靛垪锛夊湪楂樻俯鐜涓嬫槗鍙楃儹鑶ㄨ儉褰卞搷瀵艰嚧鏍″噯婕傜Щ锛岀敋鑷冲洜鐩存帴鎺ヨЕ鐔旇瀺閲戝睘鑰屾崯鍧忚澶囷紝鍥犳鏃犳硶婊¤冻鐜颁唬閽㈤搧浼佷笟瀵硅繛缁寲銆侀珮绮惧害銆侀浂鎹熶激妫€娴嬬殑闇€姹傘€擱EF-002銆曘€傞殢鐫€鏅鸿兘鍒堕€犲彂灞曪紝鐢熶骇绾胯姹傚疄鏃跺弽棣堝伐鑹哄弬鏁颁互渚胯嚜鍔ㄨ皟鑺傝緤缂濆帇鍔涙垨杞у埗閫熷害锛岃繖瀵逛紶鎰熷櫒鐨勫姩鎬佸搷搴旇兘鍔涘拰鏁版嵁浼犺緭寤惰繜鎻愬嚭浜嗘洿楂樻爣鍑嗏€斺€旈潤鎬佸懆鏈?1ms灏嗘棤娉曡窡涓婇珮閫熻繍鍔ㄧ墿浣撶殑鍙樺寲鑺傚锛岃繘鑰屽紩鍙戝昂瀵歌秴宸闄┿€?
婵€鍏夋祴璺濇妧鏈嚟鍊熼潪鎺ヨЕ鐗规€ф垚涓洪閫夋柟妗堜箣涓€锛屽挨鍏堕€傚悎LCJ绯诲垪杩欑被涓撲负鎭跺姡宸ュ喌璁捐鐨勪骇鍝併€傚畠鑳藉绌块€忎竴瀹氱▼搴︾殑鐑熷皹鑰屼笉琚樉钁楄“鍑忥紙寰楃泭浜庣壒瀹氭尝闀块€夋嫨锛夛紝鍚屾椂淇濇寔鑹ソ鐨勪俊鍣瘮琛ㄧ幇锛屽嵆浣垮湪浣庡弽灏勭巼娣辫壊閽㈠澂琛ㄩ潰涔熻兘绋冲畾鑾峰彇鏈夋晥鍥炴尝淇″彿銆傛洿閲嶈鐨勬槸锛屽叾楂樿揪250Hz鐨勯噰鏍烽鐜囪冻浠ユ崟鎹夊揩閫熺Щ鍔ㄧ殑钖勬澘杈圭紭杞粨娉㈠姩锛岄厤鍚圥LC闂幆鎺у埗绠楁硶鍙疄鐜板井绫崇骇璋冩暣绮惧害銆擱EF-001銆曘€?
鍙︿竴鏂归潰锛屼粠鎴愭湰鏁堢泭瑙掑害鍒嗘瀽锛岀浉姣旀瀯寤哄畬鏁翠笁缁磋瑙夌郴缁燂紙鍚浉鏈恒€佸厜婧愩€佸浘鍍忓鐞嗗崟鍏冪瓑鍏ㄥ纭欢杞欢鎶曞叆锛夛紝鍗曡酱绾挎縺鍏夋帰澶存柟妗堟洿鏄撲簬閮ㄧ讲涓旂淮鎶ょ畝渚匡紝鐗瑰埆閫傚悎棰勭畻鏈夐檺浣嗚拷姹傛€т环姣旂殑鏀归€犻」鐩€傜劧鑰屽€煎緱娉ㄦ剰鐨勬槸锛屽崟涓€鏂瑰悜娴嬮噺浠呰兘鑾峰緱鐐瑰埌鐐圭殑璺濈淇℃伅锛岃嫢瑕佽幏寰楀叏鍦哄垎甯冨舰鎬佷粛闇€鍊熷姪鎵弿浠垨澶氭帰澶寸粍缃戞柟寮忓疄鐜帮紝杩欎篃姝ｆ槸鍚庣画绔犺妭璁ㄨ鐨勯噸鐐规墍鍦ㄣ€擱EF-003銆曘€?
缁间笂鎵€杩帮紝鍦ㄤ繚闅滀汉韬畨鍏ㄣ€佸欢闀胯澶囧鍛界殑鍓嶆彁涓嬫彁鍗囩敓浜ц繃绋嬪彲鎺ф€ф槸椹卞姩婵€鍏変紶鎰熷櫒杩涘叆涓绘祦瑙嗛噹鐨勬牳蹇冨姩鍔涘洜绱犱箣涓€銆傜壒鍒槸鍦ㄥ綋鍓嶇豢鑹蹭綆纰宠浆鍨嬭儗鏅笅锛屽噺灏戝簾鍝佺巼涓庤兘婧愭氮璐规垚涓洪噸涓箣閲嶏紝绮惧噯鎺у帤鏈夊姪浜庝紭鍖栨潗鏂欏埄鐢ㄧ巼骞堕檷浣庣⒊鎺掓斁寮哄害锛岀鍚堟斂绛栧鍚戜笌浼佷笟绀句細璐ｄ换鐩爣銆擱EF-002銆曘€?
## 3. 寤鸿閲囬泦鐨勬暟鎹笌鏈€灏忔暟鎹泦 {#s04-data-minimum-dataset}
涓轰簡鏀拺瀹屾暣鐨勫帤搴﹀缓妯′笌鍒嗘瀽娴佺▼锛岃嚦灏戦渶瑕侀噰闆嗕互涓嬪嚑绫诲熀纭€鏁版嵁浣滀负鏈€灏忓彲琛岄泦锛圡inimum Viable Dataset, MVD锛夛細

- **鐬椂璺濈璇绘暟搴忓垪**锛氭瘡绉掍笉灏戜簬250涓牱鏈偣鐨勫師濮媄鍧愭爣鍊煎簭鍒楋紝鐢ㄤ簬璁＄畻婊戝姩骞冲潎鍚庣殑瓒嬪娍鏇茬嚎涓庡紓甯稿嘲鍊艰瘑鍒紱
- **鏃堕棿鎴冲悓姝ヨ褰?*锛氭瘡涓祴閲忕偣瀵瑰簲鐨勯珮绮惧害UTC鏃跺埢鏍囪锛屼互渚夸笌鍏朵粬宸ュ簭鐜妭锛堝缂栫爜鍣ㄨ剦鍐层€佷笂浣嶆満浜嬩欢鏃ュ織锛夎繘琛屽叧鑱斿尮閰嶏紱
- **鐘舵€佹爣蹇椾綅闆嗗悎**锛氬寘鎷€滄湁鏁?鏃犳晥娴嬮噺鈥濄€佲€滆秴鍑洪槇鍊煎憡璀︹€濄€佲€滈€氫俊涓柇閲嶈瘯娆℃暟鈥濈瓑甯冨皵鍨嬪瓧娈碉紝甯姪鍖哄垎姝ｅ父宸ュ喌涓庢晠闅滅姸鎬佷笅鐨勬暟鎹綊灞烇紱
- **澶栭儴琛ュ伩鍥犲瓙鏄犲皠琛?*锛氳褰曠幆澧冩俯搴︺€佺┖姘斿瘑搴︺€佹箍搴︾瓑鐩稿叧鍙橀噺涓庡叾瀵瑰厜閫熶紶鎾€犳垚鐨勬姌灏勭巼淇绯绘暟涔嬮棿鐨勫叧绯绘ā鍨嬶紙鍙€変綔杩涢樁鐢ㄩ€旓級锛?- **璁惧杩愯鏃ュ織鐗囨**锛氭兜鐩栧紑鏈鸿嚜妫€缁撴灉銆佸垵濮嬪寲鍙傛暟鍔犺浇鎯呭喌銆佸唴閮ㄦ俯搴﹀憡璀﹁Е鍙戞椂闂存埑绛夎瘖鏂俊鎭紝鐢ㄤ簬杩芥函鎬ц兘鍔ｅ寲鍘熷洜銆擱EF-004銆曘€?
杩欎簺鏁版嵁鍏卞悓鏋勬垚浜嗕竴涓交閲忓寲鐨勬椂绌烘暟鎹粨鏋勪綋锛屾棦婊¤冻鍗虫椂鏄剧ず闇€姹傚張渚夸簬浜戠鑱氬悎缁熻銆傚湪姝ゅ熀纭€涓婅繕鍙互杩涗竴姝ユ墿灞曠壒寰佸伐绋嬪眰锛屼緥濡傛彁鍙栧眬閮ㄦ枩鐜囧彉鍖栭噺銆丗FT棰戣氨鎴愬垎鍗犳瘮銆佸皬娉㈠彉鎹㈣兘閲忕喌绛夎鐢熸寚鏍囨潵鎸栨帢闅愯棌鐨勬ā寮忚寰嬨€傚€煎緱娉ㄦ剰鐨勬槸锛岀敱浜庨儴鍒嗘晱鎰熶笟鍔￠€昏緫鍙兘娑夊強鐭ヨ瘑浜ф潈淇濇姢锛屾墍浠ュ湪鍒嗕韩鎴栧綊妗ｆ椂搴旈噰鍙栬劚鏁忓鐞嗘帾鏂介伩鍏嶆硠闇叉牳蹇冪畻娉曠粏鑺傘€?
鍙﹀锛岃€冭檻鍒板悗鏈熻缁冩繁搴﹀涔犻娴嬫ā鍨嬬殑鍙兘鎬э紝淇濈暀瓒冲鍘嗗彶璺ㄥ害锛堣嚦灏戣繃鍘?澶╄繛缁繍浣滄湡闂翠骇鐢熺殑鍏ㄩ儴raw data锛夊皢鏋佸ぇ澧炲己娉涘寲鑳藉姏銆傚綋鐒讹紝鍦ㄥ疄闄呮搷浣滀腑涔熻鏉冭　瀛樺偍寮€閿€涓庣淮鎶ゅ鏉傚害涔嬮棿鐨勫钩琛″叧绯伙紝閫傛椂閲囩敤闄嶉噰鏍风瓥鐣ユ垨鑰呭畾鏈熸竻鐞嗗啑浣欐棫鏂囦欢浠ヤ繚璇佺鐩樼┖闂村埄鐢ㄧ巼鏈€澶у寲銆傛€讳箣锛屾瀯寤虹瀛﹀悎鐞嗙殑鏁版嵁绠＄悊浣撶郴鏄厖鍒嗗彂鎸oT璁惧浠峰€肩殑鍓嶆彁鏉′欢涔嬩竴锛屽繀椤讳簣浠ラ珮搴﹂噸瑙嗗苟鎸佺画杩唬浼樺寲銆擱EF-005銆曘€?
## 4. 閫夊瀷鍓嶅繀椤诲悜鐜板満纭鐨勮緭鍏ユ潯浠?{#s05-site-inputs}
| 绫诲埆 | 蹇呴棶瀛楁 | 鐩殑/褰卞搷 |
| --- | --- | --- |
| 鐑伐鍙傛暟 | 閽㈠澂鏈€楂樿〃闈㈡俯搴︽槸鍚︾ǔ瀹氫綆浜?550鈩冿紵闀挎湡骞冲潎鍊兼槸澶氬皯锛熸尝鍔ㄥ箙搴﹀澶э紵 | 鍐冲畾鏄惁闇€瑕佸姞瑁呮按鍐峰鎴栧叾浠栨暎鐑帾鏂斤紝闃叉婵€鍏夊櫒杩囩儹澶辨晥鎴栧鍛界缉鐭?|
| 鐜鍏夌収 | 鐧藉ぉ鏄惁鏈夐槼鍏夌洿灏勯暅澶达紵鏄惁瀛樺湪鐒婃帴寮у厜銆佺數鐏姳绛夊己骞叉壈婧愶紵 | 褰卞搷鍏夌數浜屾瀬绠℃帴鏀剁鐨勯ケ鍜岀▼搴﹀強淇″櫔姣旓紝闇€璇勪及婊ゅ厜鐗囨晥鏋滄垨璋冩暣鏇濆厜鏃堕暱 |
| 鍑犱綍甯冨眬 | 涓ゆ帰澶村す瑙掑浐瀹氬悧锛熷畨瑁呮敮鏋舵槸鍚︿細闅忔尟鍔ㄥ彂鐢熶綅绉伙紵鑳藉惁瀹氭湡閲嶆柊瀵瑰噯闆剁偣锛?| 鍏崇郴鍒版爣瀹氬噯纭€у拰閲嶅瀹氫綅绋冲畾鎬э紝蹇呰鏃跺紩鍏ヤ己鏈嶅井璋冩満鏋勮嚜閫傚簲琛ュ伩鍋忓樊绱Н |
| 浠嬭川閫忔槑搴?| 娴嬮噺璺緞涓婃湁鏃犲ぇ閲忕儫闆炬紓娴墿锛熸按姹藉嚌缁撻鐜囧浣曪紵浼氫笉浼氶伄鎸℃縺鍏夐€氶亾锛?| 鍙兘瀵艰嚧鏁ｅ皠鎹熷け澧炲姞鐢氳嚦瀹屽叏闃绘柇淇″彿杩斿洖锛屽缓璁€夋嫨鐭尝娈垫垨浣跨敤鑴夊啿璋冨埗缂栫爜鎻愬崌鎶楁贩娴婅兘鍔?|
| 鐢垫皵鍏煎 | PLC鏀寔鐨勯€氳鍗忚绉嶇被鏈夊摢浜涳紵渚涚數鐢靛帇鏄惁瀛樺湪娉㈠姩锛熸帴鍦扮姸鍐佃壇濂藉惁锛?| 鐩存帴鍏崇郴鍒伴€氫俊鎴愬姛鐜囦笌鐢电鍏煎鎬ц〃鐜帮紝鍔″繀鎻愬墠鍖归厤鎺ュ彛鏍囧噯骞跺仛濂介殧绂婚槻鎶よ璁?|
| 瀹夊叏瑙勮寖 | 褰撳湴婵€鍏夎緪灏勫畨鍏ㄧ瓑绾ц瀹氭槸澶氬皯锛熶汉鍛樻椿鍔ㄥ尯鍩熸槸鍚﹂渶瑕佽缃绀虹伅鐗屾垨鍥存爮灏侀攣鍖猴紵 | 绗﹀悎鍥藉寮哄埗鎬ц璇佽姹傦紙濡侴B/T 7247.1锛夛紝闃叉璇搷浣滈€犳垚涓嶅彲閫嗚鍔涗激瀹充簨鏁?|

涓婅堪娓呭崟瑕嗙洊浜嗙粷澶у鏁版綔鍦ㄥ埗绾﹀洜绱狅紝浣嗗湪鏌愪簺鐗规畩鍦哄悎涓嬭繕闇€閰屾儏琛ュ厖鍏朵粬鑰冮噺椤癸紝姣斿闃茬垎璁よ瘉璇佷功瀹屾暣鎬с€侀槻姘寸瓑绾х‘璁や功鏈夋晥鎬с€佺涓夋柟妫€娴嬫姤鍛婂彲杩芥函鎬х瓑姝ｅ紡鏂囨。鍑瘉銆傚彧鏈夊叏闈㈡帉鎻¤繖浜涘墠缃俊鎭墠鑳藉仛鍑哄噯纭棤璇殑宸ョ▼鍒ゆ柇锛岄伩鍏嶇洸鐩噰璐甫鏉ョ殑缁忔祹鎹熷け涓庡伐鏈熷欢璇闄┿€擱EF-004銆曘€傚悓鏃朵篃瑕佸缓绔嬪姩鎬佹洿鏂版満鍒讹紝鍥犱负鐢熶骇宸ヨ壓鏀硅繘寰€寰€浼撮殢鐫€鏂扮殑涓嶇‘瀹氭€у嚭鐜帮紝淇濇寔鏁忛攼娲炲療鍔涙墠鑳藉強鏃跺搷搴斿鎴烽渶姹傚彉鍖栬秼鍔裤€?
## 5. 浜у搧鍘熺悊銆佸彉浣撲笌宸紓鍖栫偣 {#s06-principle-variants}
### 5.1 绾挎縺鍏変笁瑙掓祴閲忓師鐞?
LCJ绯诲垪閲囩敤鐨勬槸涓€绉嶇粡鍏哥殑琚姩寮忓弽鍏夊紡涓夎娴嬭窛鏋舵瀯锛氬唴缃甃ED鍏夋簮鍙戝嚭鍨傜洿浜庨暅澶翠富鍏夎酱鐨勬縺鍏夊钩闈㈡姇褰卞埌鐩爣琛ㄩ潰涓婂舰鎴愪竴鏉′寒绾匡紝缁忚繃鐗╅暅鎴愬儚钀藉湪CMOS鎰熷厜鍏冧欢鏌愪竴琛屽儚绱犲甫涓婏紝閫氳繃璁＄畻杩欐潯浜嚎涓績鐩稿浜庣悊鎯充綅缃殑鍋忕Щ閲忓嵆鍙弽鎺ㄥ緱鍒版繁搴︿俊鎭?Z銆傛暣涓繃绋嬮伒寰浉浼间笁瑙掑舰姣斾緥鍏崇郴锛?
$$ \frac{f}{d} = \frac{x - x_0}{Z} $$

鍏朵腑 f 浠ｈ〃鐒﹁窛闀垮害锛宒 琛ㄧず鍩虹嚎璺濈锛堝嵆鍏夋簮涓庨暅澶翠箣闂寸殑璺濈锛夛紝x 鏄綋鍓嶈娴嬪埌鐨勫儚鐐规í鍧愭爣浣嶇疆锛寈_0鍒欐槸鐞嗚涓婄殑闆剁偣鍋忕Щ鍊硷紙閫氬父鍑哄巶鍓嶅凡棰勬爣瀹氬ソ锛夈€備竴鏃︾‘瀹氫簡杩欏洓涓湭鐭ユ暟涓殑浠绘剰涓変釜锛屽墿涓嬬殑閭ｄ釜鑷劧灏遍殢涔嬭В鑰﹀嚭鏉ヤ簡銆傞渶瑕佹敞鎰忕殑鏄紝姝ゅ叕寮忓亣璁炬暣涓祴閲忚繃绋嬫槸鍦ㄧ嚎鎬у尯鍩熷唴杩涜鐨勶紝涔熷氨鏄濡傛灉璺濈澶繎鎴栬€呭お杩滈兘浼氬紩璧烽潪绾挎€х暩鍙樹粠鑰屽鑷磋宸斁澶х幇璞′骇鐢燂紝鍥犳鍦ㄥ疄闄呭簲鐢ㄥ綋涓姟蹇呬弗鏍奸檺鍒朵娇鐢ㄨ寖鍥翠互鍏嶈秺鐣屽甫鏉ヤ笉鑹奖鍝嶃€擱EF-003銆曘€?
璁剧 i 涓í鍚戝儚绱犱綅缃殑娴嬮噺缁撴灉涓猴細

$$ P_i = (x_i, z_i) $$

鍏朵腑 x_i 涓哄儚绱犲潗鏍囷紝z_i 涓虹敱涓夎鍏紡鍙嶇畻寰楀埌鐨勬繁搴﹀€笺€傚湪鍔ㄦ€佹壂鎻忓満鏅笅锛岄厤鍚堣繍鍔ㄦ柟鍚戞椂闂存埑 t锛屾瘡涓儚绱犵偣鍙槧灏勫埌涓夌淮绌洪棿鍧愭爣锛?
$$ P_i(t) = (x_i, y_t, z_i) $$

鍙﹀锛屼负浜嗘彁楂樻祴閲忕簿搴﹁繕浼氬姞鍏ヤ竴浜涢澶栨楠ゆ瘮濡傝儗鏅墸闄ゆ硶娑堥櫎鏉傛暎鍏夊共鎵般€佷簹鍍忕礌鎻掑€肩粏鍖栬竟缂樺畾浣嶇簿搴︾瓑绛夐珮绾ф妧宸ц繘涓€姝ユ彁鍗囨暣浣撴€ц兘姘村钩銆備笉杩囧綊鏍圭粨搴曡繕鏄彇鍐充簬鍏夊绯荤粺璁捐璐ㄩ噺濂藉潖浠ュ強鍒堕€犲伐鑹烘按鍑嗛珮浣庝袱涓柟闈㈢患鍚堜綔鐢ㄧ殑缁撴灉銆傛墍浠ヨ鎸戦€夐潬璋卞ぇ鍝佺墝杩樻槸寰堥噸瑕佺殑銆?
### 5.2 浠?2D 鍓栭潰鍒?3D 鐐逛簯

褰撴垜浠妸涓婇潰鐨勫崟娆℃壂鎻忓姩浣滈噸澶嶅娆″苟涓旀瘡娆＄Щ鍔ㄤ竴灏忔璺濈锛屽氨鍙互鎷兼帴鍑轰竴鏁存潯瀹屾暣鐨勪晶闈㈣疆寤撶嚎鏉°€傚亣璁惧寑閫熺洿绾胯繍鍔ㄩ€熷害涓?v锛屽抚鐜囦负 f_profile锛堝嵆姣忕閲囬泦鐨勫墫闈㈡暟閲忥級锛屽垯绗?k 娆℃媿鎽勬椂瀵瑰簲鐨?Y 杞翠綅缃负锛?
$$ y_k = k \cdot \frac{v}{f_{\text{profile}}} $$

鎴栬€呬互杩炵画鏃堕棿褰㈠紡琛ㄧず涓猴細

$$ y_t = v \cdot t $$

鍏朵腑 t 涓轰粠鎵弿璧风偣寮€濮嬭鏃剁殑绱Н鏃堕棿锛堝崟浣嶏細s锛夛紝v 涓洪挗鍧繍琛岄€熷害锛堝崟浣嶏細mm/s锛夈€傜敱姝わ紝姣忎竴甯?2D 鍓栭潰鏁版嵁涓殑姣忎釜鐐?P_i(t) = (x_i, y_t, z_i) 鍧囧彲鏄犲皠鍒扮粺涓€鐨勪笁缁村潗鏍囩郴涓紝鎷兼帴鍚庡舰鎴愬畬鏁寸殑 3D 鐐逛簯锛屼粠鑰岃繕鍘熷嚭閽㈠澂琛ㄩ潰鐨勫嚑浣曞舰鎬併€?
### 5.3 鍦烘櫙鏍稿績璁＄畻鍏紡

鍦ㄩ挗鍧帤搴︽祴閲忓満鏅腑锛孡CJ绯诲垪浼犳劅鍣ㄦ牳蹇冭緭鍑虹殑鍏抽敭鍑犱綍鍙傛暟鐢变互涓嬪叕寮忓畾涔夛細

**閽㈠澂鍘氬害**

$$ h = z_{\text{surface}} - z_{\text{reference}} $$

鍏朵腑锛?- $h$ 鈥?閽㈠澂鍘氬害锛屽崟浣?mm
- $z_{\text{surface}}$ 鈥?婵€鍏夋祴寰楃殑涓婅〃闈㈡繁搴﹀€硷紙鐩稿浼犳劅鍣ㄥ畨瑁呭熀鍑嗛潰锛夛紝鍗曚綅 mm
- $z_{\text{reference}}$ 鈥?涓嬪熀鍑嗛潰锛堟垨涓嬭緤闈級娣卞害鍙傝€冨€硷紝鍗曚綅 mm
- 閫傜敤杈圭晫锛氫笂涓嬭〃闈㈠潎闇€鍦ㄧ嚎婵€鍏夊彲瑙嗚寖鍥村唴锛屽熀鍑嗛潰闇€淇濇寔绋冲畾鏃犳尟鍔ㄥ亸绉?
**閽㈠澂瀹藉害**

$$ W = x_{\text{right}} - x_{\text{left}} $$

鍏朵腑锛?- $W$ 鈥?閽㈠澂瀹藉害锛屽崟浣?mm
- $x_{\text{right}}$ 鈥?鍙宠竟缂樺儚绱犲搴旂殑妯悜鐗╃悊鍧愭爣锛屽崟浣?mm
- $x_{\text{left}}$ 鈥?宸﹁竟缂樺儚绱犲搴旂殑妯悜鐗╃悊鍧愭爣锛屽崟浣?mm
- 閫傜敤杈圭晫锛氭縺鍏夌嚎闇€瀹屾暣瑕嗙洊閽㈠澂妯悜鎴潰锛岃竟缂樻娴嬮渶缁忚繃鑳屾櫙鎵ｉ櫎涓庝簹鍍忕礌瀹氫綅

**骞抽潰搴︼紙鍑稿嚬搴︼級**

$$ F = \max(d_i) - \min(d_i) $$

鍏朵腑锛?- $F$ 鈥?骞抽潰搴﹀€硷紝鍗曚綅 mm
- $d_i$ 鈥?绗?$i$ 涓噰鏍风偣鍒版嫙鍚堝钩闈㈢殑鍨傜洿璺濈锛屽崟浣?mm
- $\max/\min$ 鈥?鎵€鏈夐噰鏍风偣涓殑鏈€澶?鏈€灏忓€?- 閫傜敤杈圭晫锛氶渶鍏堥€氳繃鏈€灏忎簩涔樻硶鎷熷悎鐞嗘兂骞抽潰

**杞粨鍋忓樊**

$$ \delta_i = z_i - z_{\text{nominal}}(x_i) $$

鍏朵腑锛?- $\delta_i$ 鈥?绗?$i$ 涓噰鏍风偣鐨勮疆寤撳亸宸紝鍗曚綅 mm
- $z_i$ 鈥?瀹為檯娴嬮噺寰楀埌鐨勬繁搴﹀€硷紝鍗曚綅 mm
- $z_{\text{nominal}}(x_i)$ 鈥?鍚嶄箟鍘氬害鍒嗗竷鍑芥暟鍦ㄤ綅缃?$x_i$ 澶勭殑鐞嗚娣卞害鍊硷紝鍗曚綅 mm
- 閫傜敤杈圭晫锛氶€傜敤浜庤〃闈㈣川閲忔娴嬪拰缂洪櫡璇嗗埆锛岄渶棰勫厛寤虹珛鍚嶄箟杞粨妯″瀷

**鍦嗗害鍗婂緞锛堢敤浜庡紓褰㈠澂/閾稿澂妫€娴嬶級**

$$ r = \sqrt{(x - a)^2 + (z - b)^2} $$

鍏朵腑锛?- $r$ 鈥?鎷熷悎鍦嗙殑鍗婂緞锛屽崟浣?mm
- $(a, b)$ 鈥?鎷熷悎鍦嗗績鍧愭爣锛屽崟浣?mm
- $(x, z)$ 鈥?杞粨涓婃煇閲囨牱鐐圭殑鍧愭爣锛屽崟浣?mm
- 閫傜敤杈圭晫锛氶€傜敤浜庡渾寮ч潰鎴栧渾褰㈡埅闈㈠澂鏂欑殑鍑犱綍鍙傛暟鎻愬彇

### 5.4 鍙樹綋涓庡樊寮傚寲鐐?
LCJ绯诲垪閽堝涓嶅悓閮ㄧ讲鍦烘櫙鎻愪緵澶氱纭欢鍙樹綋锛屾牳蹇冨樊寮備綋鐜板湪鍏夊鏋舵瀯銆侀噺绋嬮厤缃強鏁版嵁澶勭悊妯″紡涓変釜缁村害锛?
**鍗曠洰 vs 鍙岀洰涓夎娴嬭窛**
- 鍗曠洰鏋舵瀯锛氱粨鏋勭畝鍗曘€佹垚鏈緝浣庯紝閫傜敤浜庡浐瀹氬畨瑁呬綅缃€佹祴閲忚寖鍥寸ǔ瀹氱殑鍦烘櫙锛屽鍗曚晶鎵弿閽㈠澂涓婅〃闈㈠帤搴︺€傜簿搴﹀彈鍩虹嚎璺濈 d 闄愬埗锛屽吀鍨嬮噺绋嬩负 100锝?00 mm銆?- 鍙岀洰鏋舵瀯锛氶€氳繃涓ょ粍鐙珛鍏夊閫氶亾鑾峰彇鍚屼竴鐩爣鐐圭殑瑙嗗樊淇℃伅锛屽彲鍦ㄥぇ閲忕▼锛?00锝?000 mm锛変笅淇濇寔浜氭绫崇骇绮惧害锛岄€傜敤浜庡ぇ闂磋窛瀵瑰皠閮ㄧ讲鐨勫弻渚ф祴鍘氱郴缁熴€?
**鏍囧噯閲忕▼ vs 闀垮伐浣滆窛绂伙紙LWD锛夌増鏈?*
- 鏍囧噯閲忕▼鍨嬶細宸ヤ綔璺濈锛圵D锛夐€氬父涓?50锝?00 mm锛岃鍦鸿杈冨ぇ锛岄€傚悎绱у噾绌洪棿瀹夎锛屽父鐢ㄤ簬杈婇亾寮忔祴鍘氫华闆嗘垚銆?- 闀垮伐浣滆窛绂诲瀷锛歐D 鍙揪 300锝?000 mm锛岄€氳繃澧炲ぇ鍩虹嚎 d 鍜屼紭鍖栭暅澶寸劍璺?f 瀹炵幇杩滆窛娴嬮噺锛岄€傞厤楂樻俯閽㈠澂涓婃柟鎮诞瀹夎鍦烘櫙锛屾湁鏁堣閬胯緤閬撴尟鍔ㄥ拰姘у寲鐨婧呭共鎵般€?
**ROI 楂橀€熸ā寮?vs 鍏ㄨ鍦烘ā寮?*
- 鍏ㄨ鍦烘ā寮忥細璇诲彇瀹屾暣 CMOS 琛屾暟鎹紝鎻愪緵鏈€澶фí鍚戝垎杈ㄧ巼锛堥€氬父 1024 鍍忕礌/绾匡級锛岄€傚悎绂荤嚎璐ㄦ鍜岀簿缁嗚疆寤撳垎鏋愩€?- ROI 楂橀€熸ā寮忥細浠呰鍙栨劅鍏磋叮鍖哄煙锛堝涓績 256 鍍忕礌锛夛紝甯х巼鍙彁鍗囪嚦 8 kHz 浠ヤ笂锛岄€傚悎楂橀€熻繛閾哥嚎锛坴 > 2 m/s锛夌殑瀹炴椂鍘氬害鍙嶉鎺у埗锛岀壓鐗叉í鍚戝瘑搴︽崲鍙栨椂闂村垎杈ㄧ巼銆?
閫夊瀷鏃跺缓璁牴鎹挗鍧搴︼紙鍐冲畾妯悜 FOV 闇€姹傦級銆佽繍琛岄€熷害锛堝喅瀹氬抚鐜囬渶姹傦級銆佸畨瑁呯┖闂达紙鍐冲畾 WD 涓庨噺绋嬶級浠ュ強鏄惁闇€瑕佸弻渚у灏勬祴閲忚繖鍥涗釜缁村害缁煎悎纭畾鍏蜂綋鍨嬪彿閰嶇疆銆?## 6. 鍏抽敭鎬ц兘鍙傛暟 {#s07-performance-specs}
| 鎸囨爣 | 鏁板€?鑼冨洿 | 鍗曚綅 | 鍙ｅ緞/澶囨敞 | 鏉ユ簮 |
| --- | --- | --- | --- | --- |
| 娴嬮噺閲忕▼ | 鈥?| mm | 鏍规嵁鍨嬪彿鑰屽畾 | 鍘傚晢璧勬枡 |
| 鍒嗚鲸鐜?| 鈥?| 渭m | 鍏稿瀷鍊?| 鍘傚晢璧勬枡 |

## 7. 宸茬煡闄愬埗涓庡伐绋嬫敞鎰忎簨椤?{#s08-limitations-notes}
灏界璇ヤ骇鍝佸叿澶囧椤逛紭鍔匡紝浣嗗湪瀹為檯閮ㄧ讲涓粛闇€娉ㄦ剰浠ヤ笅闄愬埗锛?
1. 娓╁害褰卞搷锛氬伐浣滄俯搴﹁寖鍥存湁闄?..
2. 瀹夎瑕佹眰锛氶渶纭繚瀹夎闈㈠钩鏁?..

## 8. 鍦烘櫙閮ㄧ讲/妫€娴嬫柟娉?{#s09-deployment-method}
| 浠诲姟 | 寤鸿鏂规硶 | 楠屾敹鏍囧噯 |
| --- | --- | --- |
| 瀹夎鏍″噯 | 浣跨敤鏍囧噯閲忓潡鏍″噯 | 閲嶅鎬ц宸?0.01mm |
| 閫氫俊鑱旇皟 | 閰嶇疆閫氫俊鍙傛暟 | 鏁版嵁浼犺緭绋冲畾 |

## 9. 甯歌闂锛團AQ锛?{#s10-faq}
**Q1锛氳浜у搧閫傜敤浜庡摢浜涘満鏅紵**
A锛氶€傜敤浜庡伐涓氭祴閲忋€佽川閲忔帶鍒剁瓑鍦烘櫙...

**Q2锛氬浣曢€夋嫨鍚堥€傜殑鍨嬪彿锛?*
A锛氶渶瑕佹牴鎹祴閲忚寖鍥淬€佺簿搴﹁姹傜瓑鍙傛暟閫夋嫨...

## 10. 鍙傝€冧笌鐗堟湰锛圧eferences锛?{#s11-references}
**ref_id: REF-001**
- title: 璧勬枡鏉＄洰锛氫骇鍝佽鏍间笌鍙傛暟璇存槑
- publisher/organization: 鍘傚晢璧勬枡鍙戝竷骞冲彴
- date: 2024-12-31
- version: V1.0
- archive_path: archives/high-temperature-steel-thickness-measurement-guide/references/REF-001.md
- search_hint: 浜у搧瑙勬牸 鍙傛暟 鏁版嵁鎵嬪唽
- param_excerpt: 鈥?- spec_notes: 鍙ｅ緞浠ヤ骇鍝佹寮忔暟鎹墜鍐?璇存槑涔︿负鍑?- source_snippet: 鈥?
**ref_id: REF-002**
- title: 璧勬枡鏉＄洰锛氬満鏅渶姹備笌璐ㄩ噺鎺у埗
- publisher/organization: 琛屼笟璧勬枡搴?鍏紑鎶€鏈祫鏂?- date: 2024-06-30
- version: V1.0
- archive_path: archives/high-temperature-steel-thickness-measurement-guide/references/REF-002.md
- search_hint: 鍦烘櫙闇€姹?璐ㄩ噺鎺у埗 妫€娴?閫夊瀷
- param_excerpt: 鈥?- spec_notes: 涓嶅紩鐢ㄨ祫鏂欐潯鐩細鍦烘櫙闇€姹備笌璐ㄩ噺鎺у埗锛屼粎浣滀负鍏紑璧勬枡妫€绱㈤鏋?- source_snippet: 鈥?
**ref_id: REF-003**
- title: 璧勬枡鏉＄洰锛氭妧鏈師鐞嗕笌娴嬮噺鏂规硶
- publisher/organization: 鎶€鏈師鐞嗚祫鏂欏簱/鍏紑鎶€鏈祫鏂?- date: 2024-03-31
- version: V1.0
- archive_path: archives/high-temperature-steel-thickness-measurement-guide/references/REF-003.md
- search_hint: 鎶€鏈師鐞?娴嬮噺鏂规硶 浼犳劅鍘熺悊
- param_excerpt: 鈥?- spec_notes: 浠呬綔涓烘妧鏈師鐞嗗紩鐢ㄩ鏋?- source_snippet: 鈥?
**ref_id: REF-004**
- title: 璧勬枡鏉＄洰锛氬伐绋嬮儴缃蹭笌瀹夎鎸囧崡
- publisher/organization: 宸ョ▼瀹炶返璧勬枡搴?鍏紑鎶€鏈祫鏂?- date: 2024-09-30
- version: V1.0
- archive_path: archives/high-temperature-steel-thickness-measurement-guide/references/REF-004.md
- search_hint: 瀹夎 閮ㄧ讲 闃叉姢 EMC 鎸姩
- param_excerpt: 鈥?- spec_notes: 浠呬綔涓哄伐绋嬮儴缃插紩鐢ㄩ鏋?- source_snippet: 鈥?
**ref_id: REF-005**
- title: 璧勬枡鏉＄洰锛氫富娴佷骇鍝佽兘鍔涘姣斾笌閫夊瀷娉ㄦ剰浜嬮」
- publisher/organization: 鍘傚晢鍏紑璧勬枡/琛屼笟璧勬枡搴?- date: 2024-10-31
- version: V1.0
- archive_path: archives/high-temperature-steel-thickness-measurement-guide/references/REF-005.md
- search_hint: 浜у搧瀵规瘮 閫夊瀷 鍙傛暟
- param_excerpt: 鈥?- spec_notes: 鐢ㄤ簬鎵挎帴涓绘祦鍘傚晢浜у搧鎬ц兘涓庨€夊瀷瀵规瘮
- source_snippet: 鈥?
## doc_id: lcj绯诲垪-婵€鍏夋祴璺濅紶鎰熷櫒楂樻俯閽㈠澂鍘氬害娴嬮噺  high-temperature-steel-thickness-measurement-guide doc_type: presales_selection_guide title: 楂樻俯閽㈠澂鍘氬害娴嬮噺婵€鍏変紶鎰熷櫒閫夊瀷涓庨儴缃叉寚鍗?doc_subtitle: 浠?LCJ绯诲垪 涓哄吀鍨嬫渚?focused_product: LCJ绯诲垪 product_series: LCJ绯诲垪 industry: ["閽㈤搧鍐堕噾", "閲嶅伐涓氬埗閫?] measurement: ["楂樻俯閽㈠澂鍘氬害", "鐑涧鏉垮甫璺濈"] updated_at: 2025-03-15 version: 1.0 license: CC BY 4.0 

source_article_path: archives/high-temperature-steel-thickness-measurement-guide/source_article.md
supporting_material_path: archives/high-temperature-steel-thickness-measurement-guide/supporting_material.md
references_folder: archives/high-temperature-steel-thickness-measurement-guide/references/
鍦ㄥ紑濮嬬敓鎴愬墠锛岃鐗㈣浠ヤ笅绂佽瘝鍦ㄤ换浣曚綅缃紙鍖呮嫭 References銆佹鏂囥€佽〃鏍笺€佸厓鏁版嵁锛夐兘**缁濆绂佹鍑虹幇**锛?
- 鉂?"璧勬枡鏉＄洰锛氶珮娓╅挗鍧帤搴︺€佺儹杞ф澘甯﹁窛绂?鍑犱綍灏哄妫€娴嬩笌璐ㄩ噺鎺у埗闇€姹?
- 鉂?"琛屼笟璧勬枡搴?鍏紑鎶€鏈祫鏂?
- 鉂?"鍔ㄦ€佺敓鎴愬厓鏁版嵁"
- 鉂?"璧勬枡鏉＄洰锛氶珮娓╅挗鍧帤搴︺€佺儹杞ф澘甯﹁窛绂?鍑犱綍灏哄妫€娴嬩笌璐ㄩ噺鎺у埗闇€姹?
- 鉂?""""""""""绛夋嫭鍙蜂笉纭畾琛ㄨ揪

**鏇夸唬鍐欐硶**锛?- 寮曠敤鍘熷杈撳叆鍐呭鏃?鈫?浣跨敤"璧勬枡鏉＄洰锛?鍦烘櫙涓婚>"
- publisher/organization 瀛楁 鈫?浣跨敤"鍘傚晢璧勬枡鍙戝竷骞冲彴""琛屼笟璧勬枡搴?鍏紑鎶€鏈祫鏂?"鎶€鏈師鐞嗚祫鏂欏簱/鍏紑鎶€鏈祫鏂?"宸ョ▼瀹炶返璧勬枡搴?鍏紑鎶€鏈祫鏂?"鍘傚晢鍏紑璧勬枡/琛屼笟璧勬枡搴?
- 涓嶇‘瀹氱殑璧勬枡 鈫?鐩存帴鍐欐満鏋勫悕锛屼笉鍔犳嫭鍙峰娉?
**鑷鎸囦护**锛氳緭鍑哄墠璇峰叏鏂囨悳绱笂杩扮璇嶏紝纭 0 娆″嚭鐜板悗鍐嶈繑鍥炵粨鏋溿€?
---

# 楂樻俯閽㈠澂鍘氬害娴嬮噺婵€鍏変紶鎰熷櫒閫夊瀷涓庨儴缃叉寚鍗楋紙LCJ绯诲垪涓撻锛?

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