{"id":2491,"date":"2026-06-13T07:27:11","date_gmt":"2026-06-13T07:27:11","guid":{"rendered":"https:\/\/ptsprocess.com\/?page_id=2491"},"modified":"2026-06-13T11:33:46","modified_gmt":"2026-06-13T11:33:46","slug":"natural_frequency","status":"publish","type":"page","link":"https:\/\/ptsprocess.com\/ar\/natural_frequency\/","title":{"rendered":"\u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0648\u0627\u0644\u0631\u0646\u064a\u0646"},"content":{"rendered":"\t\t
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\u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0648\u0627\u0644\u0631\u0646\u064a\u0646<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
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\u0627\u0644\u0645\u0642\u062f\u0645\u0629<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
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  • \u0645\u0627 \u0647\u0648 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u061f<\/li>
  • \u0645\u0627 \u0647\u0648 \u062a\u0631\u062f\u062f \u0627\u0644\u0631\u0646\u064a\u0646 \u0623\u0648 \u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0631\u0646\u064a\u0646\u061f<\/li>
  • \u0647\u0644 \u064a\u0645\u062a\u0644\u0643 \u0627\u0644\u0646\u0638\u0627\u0645 \u0623\u0643\u062b\u0631 \u0645\u0646 \u062a\u0631\u062f\u062f \u0637\u0628\u064a\u0639\u064a \u0648\u0627\u062d\u062f\u061f<\/li>
  • \u0647\u0644 \u064a\u064f\u0639\u062f\u0651 \u0627\u0644\u0631\u0646\u064a\u0646 \u0638\u0627\u0647\u0631\u0629 \u063a\u064a\u0631 \u0645\u0631\u063a\u0648\u0628 \u0641\u064a\u0647\u0627 \u062f\u0627\u0626\u0645\u0627\u064b\u061f<\/li>
  • \u0645\u0627 \u0633\u0628\u0628 \u062d\u0627\u062f\u062b\u0629 \u0627\u0646\u0647\u064a\u0627\u0631 \u062c\u0633\u0631 \u062a\u0627\u0643\u0648\u0645\u0627\u061f<\/li>
  • \u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0645\u0646\u0639 \u062d\u062f\u0648\u062b \u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0631\u0646\u064a\u0646 \u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629\u061f<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
    \n\t\t\t\t\t
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    <\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t
    \n\t\t\t\t\t

    \u0627\u0644\u062a\u0639\u0627\u0631\u064a\u0641<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
    \n\t\t\t\t\t\t\t\t\t

    \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632<\/strong> (Vibration)<\/strong>:<\/strong> \u0647\u0648 \u0627\u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u062f\u0648\u0631\u064a\u0629 \u0623\u0648 \u0627\u0644\u062a\u0630\u0628\u0630\u0628\u064a\u0629 \u0644\u062c\u0633\u0645 \u0645\u0627 \u062d\u0648\u0644 \u0645\u0648\u0636\u0639 \u0627\u062a\u0632\u0627\u0646\u0647. \u0648\u0646\u0638\u0631\u0627\u064b \u0644\u0623\u0646 \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u062a\u064f\u0642\u0627\u0633 \u0639\u0627\u062f\u0629\u064b \u0628\u0648\u062d\u062f\u0629 \u0627\u0644\u0645\u0644\u064a\u0645\u062a\u0631\u060c \u0641\u0625\u0646 \u0645\u0639\u062f\u0644 \u0627\u0644\u0625\u0632\u0627\u062d\u0629 \u0627\u0644\u062a\u0631\u062f\u062f\u064a\u0629 \u0630\u0647\u0627\u0628\u0627\u064b \u0648\u0625\u064a\u0627\u0628\u0627\u064b \u062e\u0644\u0627\u0644 \u0648\u062d\u062f\u0629 \u0627\u0644\u0632\u0645\u0646 \u064a\u064f\u0639\u0628\u0651\u064e\u0631 \u0639\u0646\u0647 \u0623\u064a\u0636\u0627\u064b \u0628\u0645\u0635\u0637\u0644\u062d \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632\u060c \u0648\u062a\u0643\u0648\u0646 \u0648\u062d\u062f\u062a\u0647 \u0645\u0644\u0644\u064a\u0645\u062a\u0631 \u0641\u064a \u0627\u0644\u062b\u0627\u0646\u064a\u0629 (mm\/s).<\/p>

    \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 (Critical Speed):<\/strong> \u0647\u064a \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u062a\u064a \u064a\u062a\u0639\u0631\u0636 \u0639\u0646\u062f\u0647\u0627 \u0646\u0638\u0627\u0645 \u062f\u0648\u0651\u0627\u0631\u060c \u0645\u062b\u0644 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062f\u0648\u0651\u0627\u0631 (Shaft) \u0623\u0648 \u0631\u064a\u0634\u0629 \u0627\u0644\u062a\u0648\u0631\u0628\u064a\u0646 \u0623\u0648 \u0639\u062c\u0644\u0629 \u0627\u0644\u0622\u0644\u0629\u060c \u0644\u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0631\u0646\u064a\u0646. \u0641\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u064a\u062a\u0637\u0627\u0628\u0642 \u062a\u0631\u062f\u062f \u062f\u0648\u0631\u0627\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0645\u0639 \u0623\u062d\u062f \u062a\u0631\u062f\u062f\u0627\u062a\u0647 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u0624\u062f\u064a \u0625\u0644\u0649 \u0632\u064a\u0627\u062f\u0629 \u0643\u0628\u064a\u0631\u0629 \u0641\u064a \u0633\u0639\u0629 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632\u0627\u062a.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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    <\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t
    \n\t\t\t\t\t

    \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u0644\u062c\u0633\u0645 \u0648\u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0631\u0646\u064a\u0646<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
    \n\t\t\t\t\t\t\t\t\t

    \u0639\u0646\u062f\u0645\u0627 \u064a\u062a\u0639\u0631\u0636 \u0646\u0638\u0627\u0645 \u0645\u0627 \u0644\u0625\u062b\u0627\u0631\u0629 \u0623\u0648\u0644\u064a\u0629 \u062b\u0645 \u064a\u064f\u062a\u0631\u0643 \u0644\u064a\u062a\u0630\u0628\u0630\u0628 \u0628\u062d\u0631\u064a\u0629 \u062f\u0648\u0646 \u062a\u0623\u062b\u064a\u0631 \u0642\u0648\u0649 \u062e\u0627\u0631\u062c\u064a\u0629\u060c \u0641\u0625\u0646 \u062a\u0631\u062f\u062f \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 \u0627\u0644\u0646\u0627\u062a\u062c \u064a\u064f\u0639\u0631\u0641 \u0628\u0627\u0633\u0645 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u0644\u0627\u0647\u062a\u0632\u0627\u0632<\/strong>.<\/p>

    \u0648\u0628\u0639\u0628\u0627\u0631\u0629 \u0645\u0628\u0633\u0637\u0629\u060c \u064a\u0645\u062a\u0644\u0643 \u0623\u064a \u062c\u0633\u0645 \u0639\u062f\u062f\u0627\u064b \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0627\u064b \u0645\u0646 \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629. \u0648\u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u062a\u0631\u062f\u062f \u0627\u0644\u0642\u0648\u0629 \u0623\u0648 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 \u0627\u0644\u0645\u0624\u062b\u0631 \u0639\u0644\u0649 \u0627\u0644\u062c\u0633\u0645 \u0645\u0633\u0627\u0648\u064a\u0627\u064b \u0644\u0623\u062d\u062f \u062a\u0631\u062f\u062f\u0627\u062a\u0647 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0641\u0625\u0646 \u0633\u0639\u0629 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632\u0627\u062a \u0644\u0627 \u062a\u0628\u0642\u0649 \u062b\u0627\u0628\u062a\u0629\u060c \u0628\u0644 \u062a\u0632\u062f\u0627\u062f \u0628\u0635\u0648\u0631\u0629 \u0643\u0628\u064a\u0631\u0629\u060c \u0648\u062a\u062d\u062f\u062b \u0639\u0646\u062f\u0626\u0630\u064d \u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0631\u0646\u064a\u0646<\/strong> (Resonance)<\/strong>. \u0623\u0645\u0627 \u0639\u0646\u062f \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u0639\u0646 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0641\u0644\u0627 \u062a\u0638\u0647\u0631 \u0647\u0630\u0647 \u0627\u0644\u0638\u0627\u0647\u0631\u0629 \u0628\u0627\u0644\u0634\u0643\u0644 \u0646\u0641\u0633\u0647.<\/p>

    \u0648\u0644\u0627 \u064a\u0632\u0627\u0644 \u0627\u0644\u0633\u0628\u0628 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0626\u064a \u0627\u0644\u062f\u0642\u064a\u0642 \u0644\u062d\u062f\u0648\u062b \u0627\u0644\u0631\u0646\u064a\u0646 \u0639\u0646\u062f \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u063a\u064a\u0631 \u0645\u0641\u0647\u0648\u0645 \u0628\u0634\u0643\u0644 \u0643\u0627\u0645\u0644 \u062d\u062a\u0649 \u0627\u0644\u064a\u0648\u0645.<\/p>

    \u062a\u064f\u0639\u062f\u0651 \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0645\u0646 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0630\u0627\u062a\u064a\u0629 \u0644\u0644\u062c\u0633\u0645\u060c \u0625\u0630 \u062a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0645\u062c\u0645\u0648\u0639\u0629 \u0645\u0646 \u0627\u0644\u0639\u0648\u0627\u0645\u0644 \u0645\u062b\u0644 \u0627\u0644\u0645\u0627\u062f\u0629 \u0627\u0644\u0645\u0635\u0646\u0651\u064e\u0639 \u0645\u0646\u0647\u0627 \u0627\u0644\u062c\u0633\u0645\u060c \u0648\u0623\u0628\u0639\u0627\u062f\u0647 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629\u060c \u0648\u0648\u0632\u0646\u0647\u060c \u0648\u062a\u0648\u0632\u064a\u0639 \u0643\u062a\u0644\u062a\u0647\u060c \u0648\u063a\u064a\u0631\u0647\u0627 \u0645\u0646 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0626\u064a\u0629. \u0648\u0628\u0639\u0628\u0627\u0631\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u064a\u0631\u062a\u0628\u0637 \u0628\u0627\u0644\u062c\u0633\u0645 \u0646\u0641\u0633\u0647\u060c \u0648\u0644\u0627 \u064a\u062a\u063a\u064a\u0631 \u0628\u062a\u063a\u064a\u0631 \u0627\u0644\u0638\u0631\u0648\u0641 \u0627\u0644\u0628\u064a\u0626\u064a\u0629 \u0627\u0644\u0645\u062d\u064a\u0637\u0629 \u0628\u0647.<\/p>

    \u0648\u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0642\u062f\u0629\u060c \u0645\u062b\u0644 \u0627\u0644\u0633\u064a\u0627\u0631\u0629 \u0627\u0644\u062a\u064a \u062a\u062a\u0643\u0648\u0646 \u0645\u0646 \u0639\u062f\u0629 \u0622\u0644\u0627\u0641 \u0645\u0646 \u0627\u0644\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629\u060c \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0644\u0643\u0644 \u062c\u0632\u0621 \u0639\u0644\u0649 \u062d\u062f\u0629\u060c \u0643\u0645\u0627 \u064a\u0645\u0643\u0646 \u062d\u0633\u0627\u0628 \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0644\u0644\u0645\u0646\u0638\u0648\u0645\u0629 \u0628\u0623\u0643\u0645\u0644\u0647\u0627 \u0628\u0627\u0639\u062a\u0628\u0627\u0631\u0647\u0627 \u062c\u0633\u0645\u0627\u064b \u0648\u0627\u062d\u062f\u0627\u064b \u0645\u062a\u0643\u0627\u0645\u0644\u0627\u064b.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

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    \n\t\t\t\t\t

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    \n\t\t\t\t\t\t\t\t\t

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    \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\u0646\u0637\u0627\u0642\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t
    \n\t\t\t\t\t

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    <\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t
    \n\t\t\t\t\t

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    \n\t\t\t\t\t\t\t\t\t

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    \n\t\t\t\t\t
    \n\t\t\t\t
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    \n\t\t\t\t\t

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    \n\t\t\t\t\t\t\t
    \n\t\t\t\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
    \n\t\t\t\t\t
    \n\t\t\t\t
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    \n\t\t\t\t\t
    \n\t\t\t\t
    \n\t\t\t\t\t

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    \n\t\t\t\t\t
    \n\t\t\t\t
    \n\t\t\t\t\t\t\t\t\t
    • \u0641\u064a \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0635\u0646\u0627\u0639\u064a\u0629\u060c \u0642\u062f \u062a\u0624\u062f\u064a \u0627\u0644\u0622\u0644\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0639\u0645\u0644 \u0628\u0633\u0631\u0639\u0627\u062a \u062f\u0648\u0631\u0627\u0646 \u0645\u062d\u062f\u062f\u0629 \u0625\u0644\u0649 \u062d\u062f\u0648\u062b \u0627\u0644\u0631\u0646\u064a\u0646\u060c \u0627\u0644\u0623\u0645\u0631 \u0627\u0644\u0630\u064a \u064a\u0633\u0628\u0628 \u062a\u0622\u0643\u0644 \u0627\u0644\u062a\u0631\u0648\u0633\u060c \u0648\u0638\u0647\u0648\u0631 \u0627\u0644\u062a\u0634\u0642\u0642\u0627\u062a\u060c \u0623\u0648 \u062d\u062a\u0649 \u0627\u0646\u0643\u0633\u0627\u0631 \u0627\u0644\u062a\u0631\u0648\u0633 \u0648\u0627\u0644\u0623\u0639\u0645\u062f\u0629 \u0627\u0644\u062f\u0648\u0651\u0627\u0631\u0629 (Shafts) \u0648\u0645\u0643\u0648\u0646\u0627\u062a \u0627\u0644\u0645\u062d\u0631\u0643\u0627\u062a.<\/li>
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      \n\t\t\t\t\t
      \n\t\t\t\t
      \n\t\t\t\t\t

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      \n\t\t\t\t\t\t\t\t\t

      \u064a\u064f\u0639\u062f\u0651 \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u062d\u0631\u062c\u0629<\/strong> (Critical Speed)<\/strong> \u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u0645\u0639\u0627\u064a\u064a\u0631 \u0627\u0644\u062a\u064a \u062a\u064f\u0630\u0643\u0631 \u0641\u064a \u0627\u0644\u0643\u062a\u0627\u0644\u0648\u062c\u0627\u062a \u0627\u0644\u0641\u0646\u064a\u0629 \u0644\u0644\u0645\u0639\u062f\u0627\u062a \u0627\u0644\u062f\u0648\u0651\u0627\u0631\u0629\u060c \u0645\u062b\u0644 \u0627\u0644\u062e\u0644\u0627\u0637\u0627\u062a \u0627\u0644\u0635\u0646\u0627\u0639\u064a\u0629 \u0648\u0627\u0644\u0645\u0636\u062e\u0627\u062a \u0627\u0644\u0637\u0627\u0631\u062f\u0629 \u0627\u0644\u0645\u0631\u0643\u0632\u064a\u0629 \u0648\u063a\u064a\u0631\u0647\u0627.<\/p>

      \u0648\u0628\u0639\u0628\u0627\u0631\u0629 \u0623\u062e\u0631\u0649\u060c \u0639\u0646\u062f\u0645\u0627 \u062a\u0635\u0628\u062d \u0633\u0631\u0639\u0629 \u0627\u0644\u062f\u0648\u0631\u0627\u0646 \u0628\u062d\u064a\u062b \u064a\u062a\u0637\u0627\u0628\u0642 \u062a\u0631\u062f\u062f \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 \u0627\u0644\u0646\u0627\u062a\u062c \u0639\u0646 \u0627\u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u062f\u0648\u0631\u0627\u0646\u064a\u0629 \u0645\u0639 \u0623\u062d\u062f \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0644\u0644\u0646\u0638\u0627\u0645\u060c \u062a\u062d\u062f\u062b \u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0631\u0646\u064a\u0646\u060c \u0648\u0627\u0644\u062a\u064a \u0642\u062f \u062a\u0624\u062f\u064a \u0641\u064a \u0627\u0644\u062d\u0627\u0644\u0627\u062a \u0627\u0644\u0634\u062f\u064a\u062f\u0629 \u0625\u0644\u0649 \u062a\u0644\u0641 \u0627\u0644\u0645\u0639\u062f\u0651\u0629 \u0623\u0648 \u062d\u062a\u0649 \u0627\u0646\u0647\u064a\u0627\u0631\u0647\u0627 \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u064a.<\/p>

      \u0648\u0644\u0647\u0630\u0627 \u0627\u0644\u0633\u0628\u0628\u060c \u064a\u062c\u0628 \u062f\u0627\u0626\u0645\u0627\u064b \u0623\u0646 \u062a\u0643\u0648\u0646 \u0633\u0631\u0639\u0629 \u062a\u0634\u063a\u064a\u0644 \u0627\u0644\u0645\u0639\u062f\u0651\u0629 \u0628\u0639\u064a\u062f\u0629 \u0628\u0634\u0643\u0644 \u0643\u0627\u0641\u064d \u0639\u0646 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 (\u0623\u0648 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0645\u0642\u0627\u0628\u0644 \u0644\u0647\u0627). \u0648\u064a\u062a\u0645 \u062a\u062d\u062f\u064a\u062f \u062d\u062f\u0648\u062f \u0627\u0644\u0641\u0635\u0644 \u0627\u0644\u0645\u0633\u0645\u0648\u062d \u0628\u0647\u0627 \u0628\u064a\u0646 \u0633\u0631\u0639\u0629 \u0627\u0644\u062a\u0634\u063a\u064a\u0644 \u0648\u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0648\u0641\u0642\u0627\u064b \u0644\u0646\u0648\u0639 \u0627\u0644\u0645\u0639\u062f\u0651\u0629 \u0648\u0627\u0644\u0645\u0639\u0627\u064a\u064a\u0631 \u0627\u0644\u0647\u0646\u062f\u0633\u064a\u0629 \u0627\u0644\u0645\u0639\u062a\u0645\u062f\u0629\u060c \u0645\u062b\u0644 API 610 \u0648API 617 \u0648ISO 10816 \u0648ISO 7919.<\/p>

      \u0641\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u0648\u0648\u0641\u0642\u0627\u064b \u0644\u0645\u0639\u064a\u0627\u0631 API 610 \u0627\u0644\u062e\u0627\u0635 \u0628\u0627\u0644\u0645\u0636\u062e\u0627\u062a\u060c \u064a\u062c\u0628 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0633\u0631\u0639\u0629 \u0627\u0644\u062a\u0634\u063a\u064a\u0644 \u0623\u0642\u0644 \u0645\u0646 \u0627\u0644\u0633\u0631\u0639\u0629 \u0627\u0644\u062d\u0631\u062c\u0629 \u0627\u0644\u0623\u0648\u0644\u0649 \u0628\u0646\u0633\u0628\u0629 \u0644\u0627 \u062a\u0642\u0644 \u0639\u0646 20% \u0625\u0644\u0649 30%\u060c \u0623\u064a:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t

      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
      \n\t\t\t\t\t
      \n\t\t\t\t
      \n\t\t\t\t\t

      \u0623\u0646\u0645\u0627\u0637 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 (Vibration Modes)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t

      \u0645\u0646 \u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u0645\u0647\u0645\u0629 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0631\u0646\u064a\u0646 \u0623\u0646 \u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0631\u0646\u064a\u0646 \u0644\u0627 \u062a\u062a\u062e\u0630 \u0627\u0644\u0634\u0643\u0644 \u0646\u0641\u0633\u0647 \u0639\u0646\u062f \u062c\u0645\u064a\u0639 \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629. \u0641\u0643\u0645\u0627 \u0630\u064f\u0643\u0631 \u0633\u0627\u0628\u0642\u0627\u064b\u060c \u064a\u0645\u0643\u0646 \u0644\u0623\u064a \u0645\u0639\u062f\u0651\u0629 \u0623\u0648 \u062c\u0633\u0645 \u0623\u0646 \u064a\u0645\u062a\u0644\u0643 \u0639\u062f\u062f\u0627\u064b \u0643\u0628\u064a\u0631\u0627\u064b \u062c\u062f\u0627\u064b \u0645\u0646 \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u0625\u0644\u0627 \u0623\u0646 \u0634\u0643\u0644 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 (Mode Shape) \u0627\u0644\u0645\u0631\u062a\u0628\u0637 \u0628\u0643\u0644 \u062a\u0631\u062f\u062f \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 \u063a\u064a\u0631\u0647.<\/p>

      \u0641\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c \u064a\u0648\u0636\u0651\u062d \u0627\u0644\u0634\u0643\u0644 (2) \u0623\u0646\u0647 \u0639\u0646\u062f \u0627\u0644\u062a\u0631\u062f\u062f\u064a\u0646 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u064a\u0646 \u0627\u0644\u0623\u0648\u0644 \u0648\u0627\u0644\u062b\u0627\u0646\u064a \u064a\u062a\u0643\u0648\u0651\u0646 \u0645\u0648\u0636\u0639 \u0639\u0642\u062f\u0629 (Node) \u0648\u0627\u062d\u062f\u060c \u0628\u062d\u064a\u062b \u064a\u062a\u0631\u0643\u0651\u0632 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 \u0641\u064a \u0646\u0647\u0627\u064a\u0629 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062f\u0648\u0651\u0627\u0631 (Shaft)\u060c \u0628\u064a\u0646\u0645\u0627 \u062a\u0628\u0642\u0649 \u0627\u0644\u0639\u0642\u062f\u0629 \u062b\u0627\u0628\u062a\u0629 \u062f\u0648\u0646 \u062d\u0631\u0643\u0629.<\/p>

      \u0623\u0645\u0627 \u0639\u0646\u062f \u0627\u0644\u062a\u0631\u062f\u062f\u064a\u0646 \u0627\u0644\u062b\u0627\u0644\u062b \u0648\u0627\u0644\u0631\u0627\u0628\u0639\u060c \u0641\u062a\u062a\u0643\u0648\u0651\u0646 \u0639\u0642\u062f\u062a\u0627\u0646 (\u0627\u0644\u0645\u0634\u0627\u0631 \u0625\u0644\u064a\u0647\u0645\u0627 \u0628\u0627\u0644\u0644\u0648\u0646 \u0627\u0644\u0623\u0632\u0631\u0642)\u060c \u0628\u062d\u064a\u062b \u064a\u0647\u062a\u0632 \u0643\u0644\u0651\u064c \u0645\u0646 \u0645\u0646\u062a\u0635\u0641 \u0627\u0644\u0639\u0645\u0648\u062f \u0648\u0646\u0647\u0627\u064a\u062a\u0647\u060c \u0641\u064a \u062d\u064a\u0646 \u062a\u0628\u0642\u0649 \u0646\u0642\u0637\u062a\u0627\u0646 \u062b\u0627\u0628\u062a\u062a\u0627\u0646 \u0644\u0627 \u062a\u062a\u0639\u0631\u0636\u0627\u0646 \u0644\u0644\u0627\u0647\u062a\u0632\u0627\u0632.<\/p>

      \u0648\u0639\u0646\u062f \u0627\u0644\u062a\u0631\u062f\u062f\u064a\u0646 \u0627\u0644\u062e\u0627\u0645\u0633 \u0648\u0627\u0644\u0633\u0627\u062f\u0633\u060c \u064a\u0632\u062f\u0627\u062f \u0639\u062f\u062f \u0627\u0644\u0639\u0642\u062f \u0625\u0644\u0649 \u062b\u0644\u0627\u062b \u0639\u0642\u062f\u060c \u0648\u064a\u062a\u063a\u064a\u0631 \u0634\u0643\u0644 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 \u062a\u0628\u0639\u0627\u064b \u0644\u0630\u0644\u0643. \u0648\u064a\u0633\u062a\u0645\u0631 \u0647\u0630\u0627 \u0627\u0644\u0646\u0645\u0637 \u0645\u0639 \u0627\u0632\u062f\u064a\u0627\u062f \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629\u060c \u062d\u064a\u062b \u064a\u0632\u062f\u0627\u062f \u0639\u062f\u062f \u0627\u0644\u0639\u0642\u062f \u0648\u062a\u062a\u0637\u0648\u0631 \u0623\u0634\u0643\u0627\u0644 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629 \u0628\u0643\u0644 \u0646\u0645\u0637.<\/p>

      \u0648\u0641\u064a \u0627\u0644\u0648\u0627\u0642\u0639\u060c \u0644\u0627 \u062a\u0642\u062a\u0635\u0631 \u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0631\u0646\u064a\u0646 \u0639\u0644\u0649 \u0627\u0644\u0632\u064a\u0627\u062f\u0629 \u0627\u0644\u0643\u0628\u064a\u0631\u0629 \u0641\u064a \u0633\u0639\u0629 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632\u0627\u062a \u0641\u062d\u0633\u0628\u060c \u0628\u0644 \u0625\u0646 \u0646\u0645\u0637 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 (Mode Shape) \u064a\u062a\u063a\u064a\u0631 \u0623\u064a\u0636\u0627\u064b \u062a\u0628\u0639\u0627\u064b \u0644\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u062b \u0639\u0646\u062f\u0647 \u0627\u0644\u0631\u0646\u064a\u0646. \u0648\u0644\u0630\u0644\u0643 \u0641\u0625\u0646 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0631\u0646\u064a\u0646 \u062a\u062a\u0637\u0644\u0628 \u062a\u062d\u0644\u064a\u0644 \u0643\u0644\u0651\u064d \u0645\u0646 \u0645\u0642\u062f\u0627\u0631 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 \u0648\u0634\u0643\u0644 \u0627\u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u0645\u0635\u0627\u062d\u0628 \u0644\u0647\u060c \u0644\u0623\u0646 \u0644\u0643\u0644 \u062a\u0631\u062f\u062f \u0637\u0628\u064a\u0639\u064a \u0646\u0645\u0637\u0647 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632\u064a \u0627\u0644\u0645\u0645\u064a\u0632 \u0627\u0644\u0630\u064a \u064a\u062e\u062a\u0644\u0641 \u0639\u0646 \u0627\u0644\u0623\u0646\u0645\u0627\u0637 \u0627\u0644\u0623\u062e\u0631\u0649.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t

      \n\t\t\t\t\t
      \n\t\t
      \n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
      \n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
      \n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
      \n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
      \n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\"\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
      \n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\u0623\u0646\u0645\u0627\u0637\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t
      \n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\"\u0623\u0646\u0645\u0627\u0637\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
      \n\t\t\t\t\t
      \n\t\t\t\t
      \n\t\t\t\t\t

      \u0627\u0644\u0634\u0643\u0644 4: \u0627\u0647\u062a\u0632\u0627\u0632 \u0648\u062a\u0630\u0628\u0630\u0628 \u0627\u0644\u0639\u0645\u0648\u062f \u0627\u0644\u062f\u0648\u0651\u0627\u0631 (Shaft) \u0646\u062a\u064a\u062c\u0629 \u0638\u0627\u0647\u0631\u0629 \u0627\u0644\u0631\u0646\u064a\u0646 \u0639\u0646\u062f \u062a\u0631\u062f\u062f\u0627\u062a \u0637\u0628\u064a\u0639\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629..<\/h2>\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t
      \n\t\t\t\t\t
      \n\t\t\t\t
      \n\t\t\t\t\t\t\t
      \n\t\t\t
      <\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t
      \n\t\t\t\t\t

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      \n\t\t\t\t\t\t\t\t\t

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      \u0648\u0645\u0646 \u0627\u0644\u062c\u062f\u064a\u0631 \u0628\u0627\u0644\u0630\u0643\u0631 \u0623\u0646 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0644\u064a\u0633 \u0642\u064a\u0645\u0629 \u062b\u0627\u0628\u062a\u0629 \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062a\u0639\u062f\u064a\u0644\u060c \u0628\u0644 \u064a\u0645\u0643\u0646 \u062a\u063a\u064a\u064a\u0631\u0647 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0639\u062f\u064a\u0644 \u0628\u0639\u0636 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0646\u0638\u0627\u0645\u060c \u0645\u062b\u0644 \u0627\u0644\u0643\u062a\u0644\u0629<\/strong> \u0648\u0627\u0644\u0635\u0644\u0627\u0628\u0629<\/strong> (Rigidity)<\/strong>. \u0648\u0644\u0630\u0644\u0643 \u064a\u0633\u062a\u0637\u064a\u0639 \u0627\u0644\u0645\u0635\u0645\u0645 \u0627\u0644\u0647\u0646\u062f\u0633\u064a \u0636\u0628\u0637 \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0644\u0644\u0646\u0638\u0627\u0645 \u0628\u062d\u064a\u062b \u062a\u0628\u0642\u0649 \u0628\u0639\u064a\u062f\u0629 \u0639\u0646 \u0646\u0637\u0627\u0642 \u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u062a\u0634\u063a\u064a\u0644 \u0627\u0644\u0645\u062a\u0648\u0642\u0639\u0629\u060c \u0627\u0644\u0623\u0645\u0631 \u0627\u0644\u0630\u064a \u064a\u062d\u062f\u0651 \u0645\u0646 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u062d\u062f\u0648\u062b \u0627\u0644\u0631\u0646\u064a\u0646 \u0648\u064a\u0645\u0646\u0639 \u0627\u0644\u0623\u0636\u0631\u0627\u0631 \u0648\u0627\u0644\u0623\u0639\u0637\u0627\u0644 \u0627\u0644\u062a\u064a \u0642\u062f \u062a\u0646\u062c\u0645 \u0639\u0646\u0647.<\/p>

      \u0648\u0628\u0646\u0627\u0621\u064b \u0639\u0644\u0649 \u0630\u0644\u0643\u060c \u064a\u064f\u0639\u062f\u0651 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0631\u062f\u062f\u0627\u062a \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629 \u0648\u0623\u0646\u0645\u0627\u0637 \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632 \u0645\u0646 \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u062a\u0635\u0645\u064a\u0645 \u0627\u0644\u0645\u0639\u062f\u0627\u062a \u0627\u0644\u062f\u0648\u0651\u0627\u0631\u0629 \u0648\u0627\u0644\u0645\u0646\u0634\u0622\u062a \u0627\u0644\u0635\u0646\u0627\u0639\u064a\u0629\u060c \u0644\u0645\u0627 \u0644\u0647 \u0645\u0646 \u062f\u0648\u0631 \u0645\u062d\u0648\u0631\u064a \u0641\u064a \u0636\u0645\u0627\u0646 \u0627\u0644\u0627\u0639\u062a\u0645\u0627\u062f\u064a\u0629 \u0627\u0644\u062a\u0634\u063a\u064a\u0644\u064a\u0629\u060c \u0648\u0631\u0641\u0639 \u0645\u0633\u062a\u0648\u0649 \u0627\u0644\u0633\u0644\u0627\u0645\u0629\u060c \u0648\u0625\u0637\u0627\u0644\u0629 \u0627\u0644\u0639\u0645\u0631 \u0627\u0644\u062a\u0634\u063a\u064a\u0644\u064a \u0644\u0644\u0645\u0639\u062f\u0627\u062a.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"

      \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0648\u0627\u0644\u0631\u0646\u064a\u0646 \u0627\u0644\u0645\u0642\u062f\u0645\u0629 \u064a\u064f\u0639\u064e\u062f\u0651 \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0648\u0627\u0644\u0631\u0646\u064a\u0646 \u0645\u0641\u0647\u0648\u0645\u064a\u0646 \u0645\u062a\u0631\u0627\u0628\u0637\u064a\u0646 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0627\u0644\u0641\u0635\u0644 \u0628\u064a\u0646\u0647\u0645\u0627. \u0648\u0646\u0638\u0631\u0627\u064b \u0625\u0644\u0649 \u0623\u0646 \u0633\u0644\u0648\u0643 \u0627\u0644\u0646\u0638\u0627\u0645 \u0639\u0646\u062f \u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u064a\u062e\u062a\u0644\u0641 \u0628\u0635\u0648\u0631\u0629 \u0645\u0644\u062d\u0648\u0638\u0629 \u0639\u0646 [\u2026]<\/span><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2491","page","type-page","status-publish","hentry"],"yoast_head":"\n\u0627\u0644\u062a\u0631\u062f\u062f \u0627\u0644\u0637\u0628\u064a\u0639\u064a \u0648\u0627\u0644\u0631\u0646\u064a\u0646 - 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