{"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\/hi\/what-are-interpolation-and-the-3-common-methods-of-interpolation\/","title":{"rendered":"\u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928 \u0914\u0930 \u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928 \u0915\u0947 3 \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u0924\u0930\u0940\u0915\u0947 \u0915\u094d\u092f\u093e \u0939\u0948\u0902?"},"content":{"rendered":"<div class=\"vgblk-rw-wrapper limit-wrapper\">\n<p>Today we&#8217;ll talk about a interesting and basal concept &#8220;interpolation&#8221;. 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>\n\n\n\n<h2 class=\"wp-block-heading\">\u0935\u093f\u0915\u0938\u093f\u0924 \u0916\u0930\u093e\u0926 \u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928 \u0915\u0940 \u0905\u0928\u0941\u092e\u0924\u093f \u0926\u0947\u0924\u093e \u0939\u0948<\/h2>\n\n\n\n<p>\u0938\u0942\u091a\u0928\u093e \u092f\u0941\u0917 \u0938\u0947 \u092a\u0939\u0932\u0947, \u0916\u0930\u093e\u0926 \u092e\u0947\u0902 \u0909\u092a\u092f\u094b\u0917 \u0915\u0940 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0940 \u092e\u094b\u091f\u0930 \u0915\u093e\u092e \u092e\u0947\u0902 \u0917\u0924\u093f \u0914\u0930 \u091a\u093e\u0932 \u0915\u094b \u0928\u0939\u0940\u0902 \u092c\u0926\u0932 \u0938\u0915\u0924\u0940 \u0925\u0940, \u0914\u0930 \u0915\u0908 \u0924\u0915\u0928\u0940\u0915\u0940 \u0926\u094b\u0937 \u0925\u0947 \u091c\u094b \u0938\u091f\u0940\u0915 \u092e\u0936\u0940\u0928\u093f\u0902\u0917 \u0915\u0947 \u0938\u093e\u092e\u0928\u0947 \u0926\u0942\u0930 \u0915\u0930\u0928\u093e \u092e\u0941\u0936\u094d\u0915\u093f\u0932 \u0925\u093e\u0964 \u092a\u094d\u0930\u094c\u0926\u094d\u092f\u094b\u0917\u093f\u0915\u0940 \u0915\u0940 \u092a\u094d\u0930\u0917\u0924\u093f \u0915\u0947 \u0938\u093e\u0925, \u092e\u0936\u0940\u0928 \u0909\u092a\u0915\u0930\u0923 \u0905\u0926\u094d\u092f\u0924\u0928 \u0939\u094b\u0928\u0947 \u0932\u0917\u0947 \u0939\u0948\u0902\u0964<\/p>\n\n\n\n<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 &#8220;PC + motion controller&#8221;, the machine tool processing has obtained stronger information processing ability, more accurate motion trajectory and better versatility.<\/p>\n\n\n\n<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 &#8220;free&#8221; movement, the machine tool has to rely on multi-axis motion control and interpolation.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"460\" src=\"https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image.png\" alt=\"\" class=\"wp-image-21320\" title=\"\" srcset=\"https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image.png 900w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-300x153.png 300w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-768x393.png 768w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-18x9.png 18w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-630x322.png 630w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-420x215.png 420w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-840x429.png 840w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-315x161.png 315w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><figcaption>\u0921\u094d\u0930\u093e\u0907\u0935 \u0928\u093f\u092f\u0902\u0924\u094d\u0930\u093f\u0924 \u092a\u0941\u0930\u093e\u0928\u0947 \u0938\u094d\u0915\u0942\u0932 \u0916\u0930\u093e\u0926<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">\u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928 \u0914\u0930 \u092a\u0932\u094d\u0938 \u0938\u092e\u0915\u0915\u094d\u0937 \u0915\u0940 \u0905\u0935\u0927\u093e\u0930\u0923\u093e\u090f\u0902<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"800\" height=\"532\" src=\"https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-1.png\" alt=\"\" class=\"wp-image-21321\" title=\"\" srcset=\"https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-1.png 800w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-1-300x200.png 300w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-1-768x511.png 768w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-1-18x12.png 18w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-1-630x419.png 630w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-1-420x279.png 420w, https:\/\/www.meetyoucarbide.com\/wp-content\/uploads\/2022\/08\/image-1-315x209.png 315w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/figure>\n\n\n\n<p>\u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a \u090f\u0915 \u0928\u093f\u0936\u094d\u091a\u093f\u0924 \u0935\u093f\u0927\u093f \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0938\u0940\u090f\u0928\u0938\u0940 \u092e\u0936\u0940\u0928 \u091f\u0942\u0932 \u092a\u0930 \u091f\u0942\u0932 \u0915\u0947 \u0917\u0924\u093f \u092a\u0925 \u0915\u094b \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0940 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0939\u0948\u0964 \u0926\u0940 \u0917\u0908 \u0917\u0924\u093f \u0914\u0930 \u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a\u0935\u0915\u094d\u0930 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930, \u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a\u0935\u0915\u094d\u0930 \u0915\u0947 \u091c\u094d\u091e\u093e\u0924 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0941\u091b \u0928\u090f \u092e\u0927\u094d\u092f\u0935\u0930\u094d\u0924\u0940 \u092c\u093f\u0902\u0926\u0941 \u091c\u094b\u0921\u093c\u0947\u0902, \u0914\u0930 \u0907\u0928 \u092e\u0927\u094d\u092f\u0935\u0930\u094d\u0924\u0940 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0938\u0947 \u0917\u0941\u091c\u0930\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0935\u0930\u094d\u0915\u092a\u0940\u0938 \u0924\u093e\u0932\u093f\u0915\u093e \u0914\u0930 \u0909\u092a\u0915\u0930\u0923 \u0915\u094b \u0928\u093f\u092f\u0902\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0947\u0902, \u0924\u093e\u0915\u093f \u0938\u0902\u092a\u0942\u0930\u094d\u0923 \u0917\u0924\u093f \u0915\u094b \u092a\u0942\u0930\u093e \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0947\u0964 \u0907\u0938\u0947 \u0939\u0932\u094d\u0915\u0947 \u0922\u0902\u0917 \u0938\u0947 \u0930\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f, \u0907\u0938\u0915\u093e \u092e\u0924\u0932\u092c \u0939\u0948 \u0915\u093f \u0909\u092a\u0915\u0930\u0923 \u090f\u0915-\u090f\u0915 \u0915\u0930\u0915\u0947 \u0938\u0902\u0938\u093e\u0927\u093f\u0924 \u0915\u093f\u090f \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u0935\u0915\u094d\u0930 \u0915\u094b \u0916\u0940\u0902\u091a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u091f\u0942\u091f\u0940 \u0939\u0941\u0908 \u0930\u0947\u0916\u093e\u0913\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u093e \u0939\u0948, \u091c\u094b \u0906\u0935\u0936\u094d\u092f\u0915 \u0935\u0915\u094d\u0930 \u0914\u0930 \u0938\u0924\u0939 \u0915\u094b \u0915\u0908 \u091b\u094b\u091f\u0947 \u0916\u0902\u0921\u094b\u0902 \u0914\u0930 \u091a\u093e\u092a\u094b\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0905\u0928\u0941\u092e\u093e\u0928\u093f\u0924 \u0915\u0930\u0928\u0947 \u0915\u0947 \u092c\u0930\u093e\u092c\u0930 \u0939\u0948\u0964<\/p>\n\n\n\n<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 &#8220;densification of data points&#8221; 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>\n\n\n\n<h2 class=\"wp-block-heading\">\u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a \u0935\u093f\u0927\u093f \u0915\u093e \u0935\u0930\u094d\u0917\u0940\u0915\u0930\u0923<\/h2>\n\n\n\n<p>\u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928 \u0935\u093f\u0927\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0930\u0948\u0916\u093f\u0915 \u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928, \u0906\u0930\u094d\u0915 \u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928, \u0938\u094d\u092a\u0932\u093e\u0907\u0928 \u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928 \u0907\u0924\u094d\u092f\u093e\u0926\u093f \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902\u0964 \u091c\u0948\u0938\u093e \u0915\u093f \u0928\u093e\u092e \u0938\u0947 \u092a\u0924\u093e \u091a\u0932\u0924\u093e \u0939\u0948, \u0930\u0948\u0916\u093f\u0915 \u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928 \u091f\u0942\u0932 \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u094b \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u090f\u0915 \u0930\u0948\u0916\u093f\u0915 \u0917\u0924\u093f \u092e\u0947\u0902 \u092a\u0942\u0930\u093e \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948; \u0906\u0930\u094d\u0915 \u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928 \u0905\u0902\u0924 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 \u092c\u0940\u091a \u0907\u0902\u091f\u0930\u092a\u094b\u0932\u0947\u0936\u0928 \u0921\u093f\u091c\u093f\u091f\u0932 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0915\u0947 \u0905\u0928\u0941\u0938\u093e\u0930 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u0906\u0930\u094d\u0915 \u0924\u0915 \u092a\u0939\u0941\u0902\u091a\u0928\u0947 \u0935\u093e\u0932\u0947 \u092c\u093f\u0902\u0926\u0941 \u0938\u092e\u0942\u0939\u094b\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0930\u0928\u093e \u0939\u0948, \u0907\u0928 \u092c\u093f\u0902\u0926\u0941\u0913\u0902 \u0915\u0947 \u0938\u093e\u0925 \u0915\u091f\u0930 \u0915\u094b \u0928\u093f\u092f\u0902\u0924\u094d\u0930\u093f\u0924 \u0915\u0930\u0928\u093e \u0914\u0930 \u091a\u093e\u092a \u0935\u0915\u094d\u0930 \u0915\u094b \u0938\u0902\u0938\u093e\u0927\u093f\u0924 \u0915\u0930\u0928\u093e \u0939\u0948\u0964<\/p>\n\n\n\n<p>\u090f\u0915 \u092d\u093e\u0917 \u0915\u0940 \u0930\u0942\u092a\u0930\u0947\u0916\u093e \u0905\u0915\u094d\u0938\u0930 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u0939\u094b\u0924\u0940 \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 \u0938\u0940\u0927\u0940 \u0930\u0947\u0916\u093e, \u091a\u093e\u092a, \u092e\u0928\u092e\u093e\u0928\u093e \u0935\u0915\u094d\u0930, \u0924\u0916\u093c\u094d\u0924\u093e, \u0906\u0926\u093f \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902\u0964 \u0909\u092a\u0915\u0930\u0923 \u0915\u0947 \u091a\u0932\u0928\u0947 \u0915\u0940 \u0926\u093f\u0936\u093e \u0906\u092e \u0924\u094c\u0930 \u092a\u0930 X \u0914\u0930 Y \u0926\u093f\u0936\u093e \u0939\u094b\u0924\u0940 \u0939\u0948\u0964 \u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a \u0935\u093f\u0927\u093f\u092f\u094b\u0902 \u092e\u0947\u0902 \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902: \u0930\u0948\u0916\u093f\u0915 \u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a, \u091a\u093e\u092a \u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a, \u092a\u0930\u0935\u0932\u092f\u093f\u0915 \u092a\u094d\u0930\u0915\u094d\u0937\u0947\u092a, \u0924\u0916\u093c\u094d\u0924\u093e 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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&#8230;<\/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":[],"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\/hi\/wp-json\/wp\/v2\/posts\/21319"}],"collection":[{"href":"https:\/\/www.meetyoucarbide.com\/hi\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.meetyoucarbide.com\/hi\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.meetyoucarbide.com\/hi\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.meetyoucarbide.com\/hi\/wp-json\/wp\/v2\/comments?post=21319"}],"version-history":[{"count":0,"href":"https:\/\/www.meetyoucarbide.com\/hi\/wp-json\/wp\/v2\/posts\/21319\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.meetyoucarbide.com\/hi\/wp-json\/wp\/v2\/media\/21320"}],"wp:attachment":[{"href":"https:\/\/www.meetyoucarbide.com\/hi\/wp-json\/wp\/v2\/media?parent=21319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.meetyoucarbide.com\/hi\/wp-json\/wp\/v2\/categories?post=21319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.meetyoucarbide.com\/hi\/wp-json\/wp\/v2\/tags?post=21319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}