{"id":21319,"date":"2022-08-15T11:10:14","date_gmt":"2022-08-15T03:10:14","guid":{"rendered":"https:\/\/www.meetyoucarbide.com\/?p=21319"},"modified":"2022-08-15T11:10:19","modified_gmt":"2022-08-15T03:10:19","slug":"what-are-interpolation-and-the-3-common-methods-of-interpolation","status":"publish","type":"post","link":"https:\/\/www.meetyoucarbide.com\/tr\/enterpolasyon-ve-the-3-ortak-interpolasyon-yontemleri-nelerdir\/","title":{"rendered":"Enterpolasyon ve 3 yayg\u0131n enterpolasyon y\u00f6ntemi nedir?"},"content":{"rendered":"

Today we’ll talk about a interesting and basal concept “interpolation”. From a long time ago, engineers have been thinking about how to use machine tools to process workpieces into curves. Their primary idea is to divide the motion coordinates of the tool and the workpiece into some minimum unit quantities, i.e. the minimum displacement. The CNC system will move the coordinates by several minimum displacement quantities (i.e. control the tool motion trajectory) according to the requirements of the part program, so as to realize the relative motion of the tool and the workpiece and complete the processing of the part.<\/p>

LATHE ALLOW INTERPOLATION'\u0131 geli\u015ftirdi<\/h2>

Bilgi \u00e7a\u011f\u0131ndan \u00f6nce torna tezgah\u0131nda kullan\u0131lan motor, i\u015fin i\u00e7inde h\u0131z\u0131 ve hareketini de\u011fi\u015ftiremiyordu ve hassas tala\u015fl\u0131 imalat kar\u015f\u0131s\u0131nda a\u015f\u0131lmas\u0131 zor olan bir\u00e7ok teknik kusur vard\u0131. Teknolojinin ilerlemesi ile tak\u0131m tezgah\u0131 g\u00fcncellenmeye ba\u015flam\u0131\u015ft\u0131r.<\/p>

Now, the automation technology has been further improved on CNC lathe, and the development of numerical control technology has entered the era of motion controller. In the open system of “PC + motion controller”, the machine tool processing has obtained stronger information processing ability, more accurate motion trajectory and better versatility.<\/p>

However, although the technology has been improved, the processing needs to face more difficulties. In the process of workpiece processing, the machine tool often has to face irregular curve or arc processing. Although the machine tool can well complete the relative movement of linear segments, arcs or other analytical spline curves, in the face of irregular “free” movement, the machine tool has to rely on multi-axis motion control and interpolation.<\/p>

\"\"
S\u00fcr\u00fcc\u00fc kontroll\u00fc eski okul torna tezgah\u0131<\/figcaption><\/figure>

\u0130nterpolasyon ve darbe e\u015fde\u011feri kavramlar\u0131<\/h2>
\"\"<\/figure>

\u0130nterpolasyon, CNC tak\u0131m tezgah\u0131nda tak\u0131m\u0131n hareket yolunun belirli bir metoda g\u00f6re belirlenmesi i\u015flemidir. Verilen h\u0131z ve y\u00f6r\u00fcngeye g\u00f6re, y\u00f6r\u00fcngenin bilinen noktalar\u0131 aras\u0131na baz\u0131 yeni ara noktalar ekleyin ve t\u00fcm hareketin tamamlanabilmesi i\u00e7in i\u015f par\u00e7as\u0131 tablosunu ve aleti bu ara noktalardan ge\u00e7ecek \u015fekilde kontrol edin. Hafif\u00e7e s\u00f6ylemek gerekirse, arac\u0131n i\u015flenecek e\u011friyi tek tek \u00e7izmek i\u00e7in kesik \u00e7izgiler kulland\u0131\u011f\u0131 anlam\u0131na gelir; bu, gerekli e\u011fri ve y\u00fczeye birka\u00e7 k\u00fc\u00e7\u00fck par\u00e7a ve yay ile yakla\u015fmaya e\u015fde\u011ferdir.<\/p>

The relative movement of the tool along each coordinate axis is in the unit of pulse equivalent (mm \/ pulse). When the tool path is a straight line or an arc, the numerical control device performs “densification of data points” between the starting point and the end point coordinate values of the line segment or arc, obtains the coordinate values of a series of intermediate points, and then outputs pulses to each coordinate according to the coordinate values of the intermediate points to ensure that the required straight line or arc contour is processed.<\/p>

Enterpolasyon y\u00f6nteminin s\u0131n\u0131fland\u0131r\u0131lmas\u0131<\/h2>

Enterpolasyon y\u00f6ntemleri aras\u0131nda do\u011frusal enterpolasyon, ark enterpolasyonu, spline enterpolasyonu vb. bulunur. Ad\u0131ndan da anla\u015f\u0131laca\u011f\u0131 gibi, do\u011frusal enterpolasyon ara\u00e7 taraf\u0131ndan iki nokta aras\u0131nda do\u011frusal bir hareketle tamamlan\u0131r; Ark enterpolasyonu, u\u00e7 noktalar aras\u0131ndaki interpolasyon dijital bilgisine g\u00f6re ger\u00e7ek yaya yakla\u015fan nokta gruplar\u0131n\u0131 hesaplamak, kesiciyi bu noktalar boyunca hareket edecek \u015fekilde kontrol etmek ve ark e\u011frisini i\u015flemek i\u00e7indir.<\/p>

Bir par\u00e7an\u0131n ana hatlar\u0131 genellikle d\u00fcz \u00e7izgi, yay, iste\u011fe ba\u011fl\u0131 e\u011fri, spline vb. dahil olmak \u00fczere \u00e7e\u015fitlidir. tak\u0131m\u0131n hareket y\u00f6n\u00fc genellikle X ve Y y\u00f6nleridir. Enterpolasyon y\u00f6ntemleri \u015funlar\u0131 i\u00e7erir: do\u011frusal enterpolasyon, ark enterpolasyonu, parabolik enterpolasyon, spline enterpolasyonu, vb.<\/p>

Do\u011frusal enterpolasyon<\/h3>

Hat enterpolasyonu, torna tezgah\u0131nda yayg\u0131n olarak kullan\u0131lan bir enterpolasyon y\u00f6ntemidir. Bu y\u00f6ntemde, iki nokta aras\u0131ndaki enterpolasyon, d\u00fcz \u00e7izginin nokta grubu boyunca yakla\u015ft\u0131r\u0131l\u0131r ve tak\u0131m\u0131n hareketi d\u00fcz \u00e7izgi boyunca kontrol edilir. S\u00f6zde do\u011frusal enterpolasyon, yaln\u0131zca ger\u00e7ek kontur i\u00e7in kullan\u0131labilen bir d\u00fcz \u00e7izgi olan enterpolasyon y\u00f6ntemidir (d\u00fcz bir \u00e7izgi de\u011filse, e\u011fri, bir \u00e7izginin bir par\u00e7as\u0131 taraf\u0131ndan yakla\u015f\u0131k olarak da tahmin edilebilir, b\u00f6ylece her par\u00e7a d\u00fcz bir \u00e7izgi ile enterpolasyon yap\u0131labilir) \u0130lk olarak, ger\u00e7ek kont\u00fcr\u00fcn ba\u015flang\u0131\u00e7 noktas\u0131n\u0131n X y\u00f6n\u00fc boyunca k\u0131sa bir b\u00f6l\u00fcm oldu\u011funu (bir darbe e\u015fde\u011feri) varsayal\u0131m ve biti\u015f noktas\u0131 ger\u00e7ek kont\u00fcr\u00fcn alt\u0131nda bulunursa, sonraki \u00e7izgi par\u00e7as\u0131 Y y\u00f6n\u00fc boyunca k\u0131sa bir b\u00f6l\u00fcmd\u00fcr. <\/p>

Do\u011fru par\u00e7as\u0131n\u0131n biti\u015f noktas\u0131 hala ger\u00e7ek konturun alt\u0131ndaysa, ger\u00e7ek konturun \u00fczerine gelene kadar Y y\u00f6n\u00fc boyunca k\u0131sa bir b\u00f6l\u00fcm y\u00fcr\u00fcmeye devam edin ve ard\u0131ndan X y\u00f6n\u00fcnde k\u0131sa bir b\u00f6l\u00fcm y\u00fcr\u00fcy\u00fcn ve d\u00f6ng\u00fcy\u00fc tekrar edene kadar tekrarlay\u0131n. konturun biti\u015f noktas\u0131na ula\u015f\u0131l\u0131r Bu \u015fekilde, ger\u00e7ek kontur, kesik \u00e7izgi par\u00e7alar\u0131yla birle\u015ftirilir. Kesik \u00e7izgi olmas\u0131na ra\u011fmen, kesim \u00e7izgisinin her bir b\u00f6l\u00fcm\u00fc \u00e7ok k\u00fc\u00e7\u00fckse (izin verilen do\u011fruluk aral\u0131\u011f\u0131 i\u00e7inde), o zaman bu kesik \u00e7izgi b\u00f6l\u00fcm\u00fc ve ger\u00e7ek kontur kabaca ayn\u0131 e\u011fri olarak kabul edilebilir, bu d\u00fcz \u00e7izgi enterpolasyonudur.<\/p>

ark enterpolasyonu<\/h3>

Dairesel enterpolasyon bir enterpolasyon y\u00f6ntemidir. Bu y\u00f6ntemde, her iki u\u00e7taki noktalar aras\u0131ndaki interpolasyon dijital bilgisine g\u00f6re, ger\u00e7ek yaya yakla\u015fan nokta grubu hesaplan\u0131r ve kesici, yay e\u011frisini i\u015flemek i\u00e7in bu noktalar boyunca hareket edecek \u015fekilde kontrol edilir.<\/p>

Karma\u015f\u0131k e\u011fri i\u00e7in ger\u00e7ek zamanl\u0131 enterpolasyon algoritmas\u0131<\/h3>

Geleneksel CNC yaln\u0131zca lineer ve ark enterpolasyonu sa\u011flarken, lineer olmayan ve ark e\u011frileri lineer ve ark\u0131n par\u00e7al\u0131 montaj\u0131 ile enterpole edilir. Bu y\u00f6ntem, b\u00fcy\u00fck miktarda veri, zay\u0131f do\u011fruluk, e\u015fit olmayan besleme h\u0131z\u0131 ve karma\u015f\u0131k e\u011frileri i\u015flerken karma\u015f\u0131k programlama gibi bir dizi soruna yol a\u00e7acakt\u0131r; bu, ka\u00e7\u0131n\u0131lmaz olarak i\u015fleme kalitesi ve i\u015fleme maliyeti \u00fczerinde b\u00fcy\u00fck bir etkiye sahip olacakt\u0131r. Bir\u00e7ok ki\u015fi, karma\u015f\u0131k serbest bi\u00e7imli e\u011friler ve y\u00fczeyler i\u00e7in do\u011frudan bir enterpolasyon y\u00f6ntemi aramaya ba\u015flar. <\/p>

Son y\u0131llarda, yurti\u00e7inde ve yurtd\u0131\u015f\u0131ndaki bilim adamlar\u0131, bir\u00e7ok yeni enterpolasyon y\u00f6ntemi \u00fcretmi\u015f olan bu konuda \u00e7ok say\u0131da derinlemesine ara\u015ft\u0131rma yapt\u0131lar. Aakima spline e\u011fri enterpolasyonu, k\u00fcbik spline e\u011fri enterpolasyonu, Bezier e\u011fri enterpolasyonu, Pisagor hodggraph e\u011fri enterpolasyonu, B-spline e\u011fri enterpolasyonu, vb. B-spline e\u011frisinin bir\u00e7ok avantaj\u0131 nedeniyle, \u00f6zellikle \u015fekli temsil etme ve tasarlamadaki g\u00fc\u00e7l\u00fc i\u015flevi Serbest bi\u00e7imli e\u011fri ve y\u00fczeyin, serbest uzay e\u011frisi ve y\u00fczeyinin do\u011frudan enterpolasyon algoritmas\u0131 \u00fczerine yap\u0131lan ara\u015ft\u0131rmalar \u00e7o\u011funlukla buna odaklanm\u0131\u015ft\u0131r.<\/p><\/div>","protected":false},"excerpt":{"rendered":"

Today we’ll talk about a interesting and basal concept “interpolation”. From a long time ago, engineers have been thinking about how to use machine tools to process workpieces into curves. Their primary idea is to divide the motion coordinates of the tool and the workpiece into some minimum unit quantities, i.e. the minimum displacement. The…<\/p>","protected":false},"author":2,"featured_media":21320,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[92],"tags":[],"class_list":["post-21319","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cutting-tools-weekly"],"jetpack_featured_media_url":"https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image.png","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/www.meetyoucarbide.com\/tr\/wp-json\/wp\/v2\/posts\/21319","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.meetyoucarbide.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.meetyoucarbide.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.meetyoucarbide.com\/tr\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.meetyoucarbide.com\/tr\/wp-json\/wp\/v2\/comments?post=21319"}],"version-history":[{"count":0,"href":"https:\/\/www.meetyoucarbide.com\/tr\/wp-json\/wp\/v2\/posts\/21319\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.meetyoucarbide.com\/tr\/wp-json\/wp\/v2\/media\/21320"}],"wp:attachment":[{"href":"https:\/\/www.meetyoucarbide.com\/tr\/wp-json\/wp\/v2\/media?parent=21319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.meetyoucarbide.com\/tr\/wp-json\/wp\/v2\/categories?post=21319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.meetyoucarbide.com\/tr\/wp-json\/wp\/v2\/tags?post=21319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}