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ɉɨɫɬɪɨɟɧɢɟ ɷɩɸɪ ɭɫɢɥɢɣ ɜ ɩɥɨɫɤɢɯ ɋɈ ɛɚɥɤɚɯ ɢ ɪɚɦɚɯɉɨɫɬɪɨɢɬɶ ɜɪɭɱɧɭɸ (ɛɟɡ ɢɫɩɨɥɶɡɨɜɚɧɢɹ ɉɄ) ɷɩɸɪɵ ɭɫɢɥɢɣ M , Q, N ɜɩɪɨɫɬɟɣɲɢɯ ɩɥɨɫɤɢɯ ɋɈ ɋɋ, ɩɪɢɜɟɞɟɧɧɵɯ ɜ ɬɚɛɥ. 1, ɢɫɩɨɥɶɡɭɹ ɩɪɚɜɢɥɚ ɩɨɫɬɪɨɟɧɢɹɷɩɸɪ ɭɫɢɥɢɣ, ɢɡɥɨɠɟɧɧɵɟ ɜ ɪɚɡɞɟɥɟ 4 ɍɆɄ ɢ ɜ ɭɱɟɛɧɨɦ ɩɨɫɨɛɢɢ [1].ɉɪɢɦɟɱɚɧɢɟ. ɉɪɢ ɱɢɫɥɟɧɧɨɦ ɡɚɞɚɧɢɢ ɩɚɪɚɦɟɬɪɨɜ ɋɋ ɜ ɡɚɞɚɱɚɯ 13-46 (ɬɚɛɥ. 1)ɩɪɢɧɹɬɵ ɫɥɟɞɭɸɳɢɟ ɪɚɡɦɟɪɧɨɫɬɢ: ɞɥɢɧɵ ɜ ɦ, ɫɨɫɪɟɞɨɬɨɱɟɧɧɵɟ ɫɢɥɵ ɢ ɦɨɦɟɧɬɵɫɨɨɬɜɟɬɫɬɜɟɧɧɨ ɜ ɤɇ ɢ ɤɇ·ɦ, ɪɚɫɩɪɟɞɟɥɟɧɧɵɟ ɧɚɝɪɭɡɤɢ ɢ ɦɨɦɟɧɬɵ ɫɨɨɬɜɟɬɫɬɜɟɧɧɨ ɜ ɤɇ/ɦ ɢ ɜɤɇ·ɦ/ɦ.Ɍɚɛɥɢɰɚ 1Pl/2Pl/20102llPl /3Pl /3Pl /303l/4l/4l/404lq0506llqq0.5l0.5l080.5l0.5lllqq09l/4lq07PP0.5l0.5ll100.5l0.5ll241(ɩɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥ.

1)MoMo11120.5l0.5l0.5l0.5lll2020131022102020142828242020151022201624206017102220182841010220 21019610206e =0.541021104424222012422101020201021 20101023244410442510422261042222222272104281042222222292104301042222223121021042322243(ɩɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥ. 1)441023334410223510 243641022101037438442210394402244210422(ɩɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥ. 1)2412101044242222104434441022451022446104222. Ɉɩɪɟɞɟɥɟɧɢɟ ɨɩɨɪɧɵɯ ɪɟɚɤɰɢɣ, ɭɫɢɥɢɣ ɜ ɡɚɬɹɠɤɟɢ ɭɫɢɥɢɣ ɜ ɫɟɱɟɧɢɹɯ ɋɈ ɚɪɨɤɂɫɩɨɥɶɡɭɹ ɢɡɜɟɫɬɧɵɟ ɝɪɚɮɢɱɟɫɤɢɟ ɭɫɥɨɜɢɹ ɪɚɜɧɨɜɟɫɢɹ ɩɥɨɫɤɨɝɨ ɞɢɫɤɚ ɩɨɞɞɟɣɫɬɜɢɟɦ ɞɜɭɯ (ɪɢɫ.

1.ɉ1, ɚ) ɢ ɬɪɟɯ (ɪɢɫ. 1.ɉ1, ɛ) ɫɢɥ ɨɩɪɟɞɟɥɢɬɶ ɨɩɨɪɧɵɟ ɪɟɚɤɰɢɢ,ɭɫɢɥɢɹ ɜ ɡɚɬɹɠɤɟ (ɩɪɢ ɟɟ ɧɚɥɢɱɢɢ ɜ ɤɨɧɫɬɪɭɤɰɢɢ ɚɪɤɢ) ɢ ɭɫɢɥɢɹ ɜ ɫɟɱɟɧɢɹɯ ɚɪɨɤ,ɪɚɫɱɟɬɧɵɟ ɫɯɟɦɵ ɤɨɬɨɪɵɯ ɩɪɢɜɟɞɟɧɵ ɜ ɬɚɛɥ. 2.ɉ1.245P2a)P1ɛ)P3P2P1OP2P1P1P3Ɋɢɫ. 1Ɍɚɛɥɢɰɚ 210105011050210100304551050510510101010083351010555091024610065071010105101010103211512101051032131010141055510510535103. Ɉɩɪɟɞɟɥɟɧɢɟ ɭɫɢɥɢɣ ɜ ɫɬɟɪɠɧɹɯ ɋɈ ɮɟɪɦɂɫɩɨɥɶɡɭɹ ɭɪɚɜɧɟɧɢɹ ɪɚɜɧɨɜɟɫɢɹ, ɨɩɪɟɞɟɥɢɬɶ ɜɪɭɱɧɭɸ ɭɫɢɥɢɹ ɜ ɨɩɨɪɧɵɯɫɜɹɡɹɯ ɮɟɪɦɵ, ɫɯɟɦɚ ɤɨɬɨɪɨɣ ɜɵɛɢɪɚɟɬɫɹ (ɬɚɛɥ. 3) ɩɨ ɩɟɪɜɵɦ ɞɜɭɦ ɰɢɮɪɚɦ ɲɢɮɪɚ.ɇɚɝɪɭɡɤɨɣ ɧɚ ɮɟɪɦɭ ɹɜɥɹɸɬɫɹ ɧɚɩɪɚɜɥɟɧɧɵɟ ɜɧɢɡ ɜɟɪɬɢɤɚɥɶɧɵɟ ɫɢɥɵ P ,ɩɪɢɥɨɠɟɧɧɵɟ ɜɨ ɜɫɟɯ ɭɡɥɚɯ ɥɟɜɨɣ ɩɨɥɨɜɢɧɵ ɝɪɭɡɨɜɨɝɨ ɩɨɹɫɚ ɮɟɪɦɵ (ɭɤɚɡɚɧɫɬɪɟɥɤɨɣ), ɜɤɥɸɱɚɹ ɫɪɟɞɧɢɣ ɭɡɟɥ ɧɚ ɨɫɢ ɫɢɦɦɟɬɪɢɢ (ɟɫɥɢ ɬɚɤɨɜɨɣ ɟɫɬɶ).Ɂɚɬɟɦ, ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɡɚɞɚɧɧɨɣ ɧɚɝɪɭɡɤɨɣ ɢ ɨɩɪɟɞɟɥɟɧɧɵɦɢ ɨɩɨɪɧɵɦɢɪɟɚɤɰɢɹɦɢ, ɜɵɹɜɢɬɶ ɜɫɟ ɹɜɧɨ ɧɭɥɟɜɵɟ ɫɬɟɪɠɧɢ ɮɟɪɦɵ ɢ, ɩɪɢɦɟɧɹɹ ɪɚɰɢɨɧɚɥɶɧɵɟɫɬɚɬɢɱɟɫɤɢɟ ɫɩɨɫɨɛɵ, ɨɩɪɟɞɟɥɢɬɶ ɩɪɨɞɨɥɶɧɵɟ ɭɫɢɥɢɹ ɜ ɫɬɟɪɠɧɹɯ ɮɟɪɦɵ, ɤɨɬɨɪɵɟ ɩɨɧɨɦɟɪɭ ɧɚ ɫɯɟɦɟ ɮɟɪɦɵ (ɬɚɛɥ.

3) ɫɨɜɩɚɞɚɸɬ ɫ ɱɟɬɜɟɪɬɨɣ ɰɢɮɪɨɣ ɲɢɮɪɚ.ɑɢɫɥɟɧɧɨɟ ɡɧɚɱɟɧɢɟ ɞɥɢɧɵ a ɩɚɧɟɥɢ, ɜɵɫɨɬɵ h ɮɟɪɦɵ, ɢ ɫɨɫɪɟɞɨɬɨɱɟɧɧɵɯɫɢɥ P , ɧɚɡɧɚɱɚɟɬɫɹ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɬɪɟɬɶɟɣ ɰɢɮɪɨɣ ɲɢɮɪɚ (ɬɚɛɥ. 4).ɉɪɢɦɟɱɚɧɢɟ. ȿɫɥɢ ɭɱɚɳɢɣɫɹ ɡɚɯɨɱɟɬ ɫɜɟɪɢɬɶ ɪɟɡɭɥɶɬɚɬ ɪɚɫɱɟɬɚ, ɩɨɥɭɱɟɧɧɵɣɜɪɭɱɧɭɸ, ɫ ɪɚɫɱɟɬɨɦ ɩɨ ɩɪɨɝɪɚɦɦɟ SCAD, ɬɨ ɧɟɨɛɯɨɞɢɦɨ ɩɨɦɧɢɬɶ, ɱɬɨ ɩɪɢ ɢɫɩɨɥɶɡɨɜɚɧɢɢɞɥɹ ɪɟɲɟɧɢɹ ɡɚɞɚɱɢ ɩɪɨɝɪɚɦɦɵ SCAD ɧɭɦɟɪɚɰɢɹ ɫɬɟɪɠɧɟɣ (Ʉɗ) ɮɟɪɦɵ ɛɭɞɟɬ ɢɧɚɹ.Ɍɚɛɥɢɰɚ 3301045721698h400225316a303420568ah8a4371979h040265817h9a247(ɩɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥ. 3)105032867 95406a143h520120328749650910h08540311210h511207451 2241h914842032658h1610 3921754319h6180842279856h20608 ha4711950h436aa248874359a0h976a176a93ha71957 82158754h86a063639a6a23197313h540584098a0h9a618637497a2ha10768757218a9 3h(ɩɪɨɞɨɥɠɟɧɢɟ ɬɚɛɥ.

3)218241950h732226a9230207100 .5 h27hɋ02210ahP85a352244304497928630.5h0.5h741312164341852320h7563h812713320268a48h9912054 6 23248a125h4 703h13a687a3640 95a0195682a6342274424Ɍɚɛɥɢɰɚ 489132226204. Ɉɩɪɟɞɟɥɟɧɢɟ ɭɫɢɥɢɣ ɩɨ ɥɢɧɢɹɦ ɜɥɢɹɧɢɹ1. ɉɨɫɬɪɨɢɬɶ ɥɢɧɢɢ ɜɥɢɹɧɢɹ (ɥ.ɜ) ɞɥɹ ɨɩɨɪɧɵɯ ɪɟɚɤɰɢɣ ɢ ɭɫɢɥɢɣ M ɢQ ɜɨɬɦɟɱɟɧɧɵɯ ɫɟɱɟɧɢɹɯ ɋɈ ɛɚɥɨɤ (ɬɚɛɥ. 5).Ɍɚɛɥɢɰɚ 501102VBlxakxMBBkakVA031xAVBMAkaVAkbA04bkBka1akklkb2492. ȼɵɱɢɫɥɢɬɶ ɫ ɩɨɦɨɳɶɸ ɥ.ɜ.

ɦɚɤɫɢɦɚɥɶɧɵɟ ɩɨ ɡɧɚɱɟɧɢɸ ɭɫɢɥɢɹ ɜɩɪɟɞɩɨɥɨɠɟɧɢɢ ɞɟɣɫɬɜɢɹ ɧɚ ɛɚɥɤɭ ɩɨɫɬɨɹɧɧɨɣ ɪɚɜɧɨɦɟɪɧɨ ɪɚɫɩɪɟɞɟɥɟɧɧɨɣ ɩɨ ɜɫɟɣɞɥɢɧɟ ɛɚɥɤɢ ɧɚɝɪɭɡɤɢ ɢɧɬɟɧɫɢɜɧɨɫɬɶɸ p , ɤɇ/ɦ, ɪɚɜɧɨɦɟɪɧɨ ɪɚɫɩɪɟɞɟɥɟɧɧɨɣɜɪɟɦɟɧɧɨɣ ɧɚɝɪɭɡɤɢ ɢɧɬɟɧɫɢɜɧɨɫɬɶɸ g , ɤɇ/ɦ (ɫ ɩɪɨɢɡɜɨɥɶɧɵɦ ɱɢɫɥɨɦ ɭɱɚɫɬɤɨɜɩɪɨɢɡɜɨɥɶɧɨɣ ɞɥɢɧɵ), ɢ ɜɪɟɦɟɧɧɨɣ ɧɚɝɪɭɡɤɢ ɜɫɨɫɪɟɞɨɬɨɱɟɧɧɵɯ ɫɢɥ G , ɬɫ, ɡɚɞɚɧɧɨɣ ɫɯɟɦɵ (ɪɢɫ. 3).ɜɢɞɟɫɜɹɡɚɧɧɨɣɫɢɫɬɟɦɵɉɪɨɢɡɜɨɥɶɧɨɟ ɱɢɫɥɨ ɭɱɚɫɬɤɨɜ ɩɪɨɢɡɜɨɥɶɧɨɣ ɞɥɢɧɵɈɞɧɚ ɝɪɭɩɩɚ ɫɨɫɪɟɞɨɬɨɱɟɧɧɵɯ ɫɢɥ ɩɨ ɡɚɞɚɧɧɨɣ ɫɯɟɦɟgGaGpȼɫɹ ɞɥɢɧɚ ɛɚɥɤɢɊɢɫ. 33.

ɉɨɫɬɪɨɢɬɶ ɥ.ɜ. ɞɥɹ ɭɫɢɥɢɣ ɜ ɨɬɦɟɱɟɧɧɵɯ ɰɢɮɪɚɦɢ ɫɬɟɪɠɧɹɯ ɮɟɪɦɵ(ɬɚɛɥ. 3.ɉ1) ɩɪɢ ɫɨɜɩɚɞɟɧɢɢ ɧɨɦɟɪɚ ɫɬɟɪɠɧɹ ɫ ɱɟɬɜɟɪɬɨɣ ɰɢɮɪɨɣ ɡɚɞɚɧɧɨɝɨ ɲɢɮɪɚ ɢɜɵɱɢɫɥɢɬɶ ɫɨɨɬɜɟɬɫɬɜɭɸɳɟɟ ɭɫɢɥɢɟ ɩɪɢ ɪɚɫɩɨɥɨɠɟɧɢɢ ɫɨɫɪɟɞɨɬɨɱɟɧɧɵɯ ɫɢɥ P ɜɭɡɥɚɯ ɥɟɜɨɣ ɩɨɥɨɜɢɧɵ ɝɪɭɡɨɜɨɝɨ ɩɨɹɫɚ ɮɟɪɦɵ.250Контрольные работы1. Построение эпюр усилий M, Q, N в СО раме в виде замкнутого контураРама для контрольной работы выбирается из табл. 6 по двум первым цифрам шифраABCD. При четном номере AB шарнирно неподвижная и шарнирно подвижная опоры рамы,изображенной в табл. 6, меняются местами.Таблица 6Размеры рамы и значения нагрузок берутся из табл.

7.436Ɍɚɛɥɢɰɚ 7A0123456789Ɋɚɡɦɟɪɵ ɪɚɦɵ, ɦlh3443.54.5554.5233.52.52.5322.52.5433.5B0123456789q1200300200300400ɇɚɝɪɭɡɤɚ, ɤɇ/ɦq240404040505025203030q3025025025030045Ɇɟɬɨɞɢɱɟɫɤɢɟ ɭɤɚɡɚɧɢɹ ɩɨ ɢɡɨɛɪɚɠɟɧɢɸ ɪɚɫɱɟɬɧɨɣ ɫɯɟɦɵ ɪɚɦɵ1. Ɋɢɫɨɜɚɬɶ ɫɯɟɦɭ ɪɚɦɵ ɜ ɦɚɫɲɬɚɛɟ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɡɚɞɚɧɧɵɦɢ ɪɚɡɦɟɪɚɦɢ ɢ ɨɛɨɡɧɚɱɚɬɶ ɧɚɪɢɫɭɧɤɟ ɫɪɚɡɭ ɱɢɫɥɨɜɵɟ ɡɧɚɱɟɧɢɹ ɪɚɡɦɟɪɨɜ.2. ɉɪɟɠɞɟ ɱɟɦ ɪɢɫɨɜɚɬɶ ɧɚɝɪɭɡɤɭ ɧɚ ɫɯɟɦɟ ɪɚɦɵ ɨɡɧɚɤɨɦɶɬɟɫɶ ɫ ɟɟ ɡɧɚɱɟɧɢɹɦɢ ɜ ɬɚɛɥ. 7. ɇɚɪɚɫɱɟɬɧɨɣ ɫɯɟɦɟ ɪɚɦɵ ɧɟ ɫɥɟɞɭɟɬ ɢɡɨɛɪɚɠɚɬɶ ɧɭɥɟɜɵɟ ɧɚɝɪɭɡɤɢ ɫ ɧɭɥɟɜɵɦɢ ɡɧɚɱɟɧɢɹɦɢ..3. ȼ ɬɚɛɥ. 6 ɧɚ ɫɯɟɦɚɯ ɪɚɦɵ ɤɪɟɫɬɢɤɨɦ ɨɬɦɟɱɟɧɵ ɬɨɱɤɢ W.

ɉɪɢ ɢɡɨɛɪɚɠɟɧɢɢ ɡɚɞɚɧɧɨɣ ɪɚɦɵɞɥɹ ɤɨɧɬɪɨɥɶɧɨɣ ɪɚɛɨɬɵ 1 ɷɬɨɝɨ ɨɛɨɡɧɚɱɟɧɢɹ ɞɟɥɚɬɶ ɧɟ ɧɭɠɧɨ (ɬɚɛɥ. 6 ɛɭɞɟɬ ɢɫɩɨɥɶɡɨɜɚɧɚ ɜɞɚɥɶɧɟɣɲɟɦ ɞɥɹ ɤɨɧɬɪɨɥɶɧɨɣ ɪɚɛɨɬɵ 2, ɝɞɟ ɷɬɨ ɨɛɨɡɧɚɱɟɧɢɟ ɩɨɧɚɞɨɛɢɬɫɹ).Ɍɪɟɛɭɟɬɫɹ:1. ȼɪɭɱɧɭɸ ɩɨɫɬɪɨɢɬɶ ɷɩɸɪɵ ɭɫɢɥɢɣ M , Q, N .2. ȼɵɩɨɥɧɢɬɶ ɤɨɧɬɪɨɥɶ ɩɨɫɬɪɨɟɧɧɵɯ ɷɩɸɪ.Ɇɟɬɨɞɢɱɟɫɤɢɟ ɭɤɚɡɚɧɢɹ ɩɨ ɜɵɩɨɥɧɟɧɢɸ ɤɨɧɬɪɨɥɶɧɨɣ ɪɚɛɨɬɵ1. ɉɪɢ ɜɵɩɨɥɧɟɧɢɢ ɪɚɛɨɬɵ ɱɟɬɤɨ ɭɤɚɡɵɜɚɬɶ ɩɨɫɥɟɞɨɜɚɬɟɥɶɧɨɫɬɶ ɜɵɩɨɥɧɹɟɦɵɯ ɞɟɣɫɬɜɢɣ.2. Ⱦɚɠɟ ɩɪɢ ɪɭɱɧɨɦ ɫɱɟɬɟ (ɛɟɡ ɢɫɩɨɥɶɡɨɜɚɧɢɹ ɩɪɨɝɪɚɦɦɵ SCAD) ɡɚɞɚɧɧɭɸ ɫɯɟɦɭ ɪɚɦɵɪɚɡɛɢɬɶ ɧɚ ɤɨɧɟɱɧɵɟ ɷɥɟɦɟɧɬɵ (Ʉɗ) ɬɢɩɚ 2 (ɩɨ ɤɥɚɫɫɢɮɢɤɚɰɢɢ ɜ ɩɪɨɝɪɚɦɦɟ SCAD).3.

ɉɨɤɚɡɚɬɶ ɨɫɢ ɨɛɳɟɣ ɫɢɫɬɟɦɵ ɤɨɨɪɞɢɧɚɬ (ɈɋɄ), ɤ ɤɨɬɨɪɨɣ ɨɬɧɟɫɟɧɚ ɪɚɦɚ. ɉɪɢ ɷɬɨɦɢɫɩɨɥɶɡɨɜɚɬɶ ɈɋɄ, ɤɨɬɨɪɚɹ ɢɫɩɨɥɶɡɭɟɬɫɹ ɜ ɩɪɨɝɪɚɦɦɟ SCAD.4. ɇɚ ɤɚɠɞɨɦ ɤɨɧɟɱɧɨɦ ɷɥɟɦɟɧɬɟ ɫ ɩɨɦɨɳɶɸ ɩɭɧɤɬɢɪɚ ɩɨɤɚɡɚɬɶ ɨɫɢ ɦɟɫɬɧɨɣ ɫɢɫɬɟɦɵɤɨɨɪɞɢɧɚɬ (ɆɋɄ). ɉɭɧɤɬɢɪ, ɨɬɦɟɱɚɸɳɢɣ ɆɋɄ, ɫɬɚɜɢɬɫɹ ɜ ɫɨɨɬɜɟɬɫɬɜɢɢ ɫ ɩɪɚɜɢɥɨɦ, ɞɚɧɧɵɦ ɜɩɨɞɪɚɡɞɟɥɟ 4.1 ɩɨɫɨɛɢɹ.5. ɇɚ ɫɯɟɦɟ ɪɚɦɵ, ɪɚɡɛɢɬɨɣ ɧɚ Ʉɗ, ɨɛɨɡɧɚɱɢɬɶ ɧɨɦɟɪɚ Ʉɗ ɢ ɧɨɦɟɪɚ ɭɡɥɨɜ Ʉɗ ɜ ɈɋɄ. ɉɪɢ ɷɬɨɦɢɫɩɨɥɶɡɨɜɚɬɶ ɧɭɦɟɪɚɰɢɸ, ɩɪɢɧɹɬɭɸ ɜ ɩɪɨɝɪɚɦɦɟ SCAD (.ɫɦ. ɦɟɬɨɞɢɱɟɫɤɢɟ ɭɤɚɡɚɧɢɹ ɜ ɪɚɡɞɟɥɚɯ3 ɢ 6 ɩɨɫɨɛɢɹ).6. ɋɧɚɱɚɥɚ ɩɨɫɬɪɨɢɬɶ ɷɩɸɪɭ M , ɨɩɪɟɞɟɥɹɹ ɡɧɚɱɟɧɢɹ ɢ ɡɧɚɤɢ ɨɪɞɢɧɚɬ M ɜ ɧɚɦɟɱɟɧɧɵɯ ɭɡɥɚɯɄɗ, ɚ ɞɥɹ ɫɬɟɪɠɧɟɣ, ɡɚɝɪɭɠɟɧɧɵɯ ɪɚɜɧɨɦɟɪɧɨ ɪɚɫɩɪɟɞɟɥɟɧɧɨɣ ɧɚɝɪɭɡɤɨɣ, ɢ ɜ ɫɪɟɞɧɢɯ ɫɟɱɟɧɢɹɯ Ʉɗ.7.

ȼɵɩɨɥɧɢɬɶ ɩɪɨɜɟɪɤɭ ɷɩɸɪɵ M ɩɨ ɩɪɢɡɧɚɤɚɦ ɩɪɚɜɢɥɶɧɨɣ ɷɩɸɪɵ M ɢ ɩɨ ɪɚɜɧɨɜɟɫɢɸɭɡɥɨɜ ɪɚɦɵ. ɍɡɥɵ ɪɚɦɵ ɧɚ ɪɢɫɭɧɤɟ ɞɨɥɠɧɵ ɪɚɫɩɨɥɚɝɚɬɶɫɹ ɜ ɬɨɣ ɠɟ ɩɨɫɥɟɞɨɜɚɬɟɥɶɧɨɫɬɢ, ɤɚɤ ɢ ɜɫɯɟɦɟ ɪɚɦɵ (ɫɦ. ɩɪɢɦɟɪɵ ɜ ɩɪɢɥɨɠɟɧɢɢ 8 ɭɱɟɛɧɨɝɨ ɩɨɫɨɛɢɹ.8. ɉɨ ɷɩɸɪɟ M ɧɚ ɪɚɦɟ ɜɪɭɱɧɭɸ ɩɨɫɬɪɨɢɬɶ ɫɨɨɬɜɟɬɫɬɜɭɸɳɭɸ ɟɣ ɷɩɸɪɭ Q .9. ɉɨ ɷɩɸɪɚɦ M ɢ Q ɫɩɨɫɨɛɨɦ ɜɵɪɟɡɚɧɢɹ ɭɡɥɨɜ ɩɨɫɬɪɨɢɬɶ ɷɩɸɪɭ N (ɫɦ. ɩɨɞɪɚɡɞɟɥ 5.3ɭɱɟɛɧɨɝɨ ɩɨɫɨɛɢɹ ɢ ɩɨɫɨɛɢɹ [1, 2, 4].Ʉɚɪɬɢɧɚ ɪɚɫɩɨɥɨɠɟɧɢɹ ɭɡɥɨɜ ɪɚɦɵ, ɢɡ ɤɨɬɨɪɵɯ ɛɭɞɭɬ ɨɩɪɟɞɟɥɹɬɶɫɹ ɩɪɨɞɨɥɶɧɵɟ ɫɢɥɵ ɜɫɬɟɪɠɧɹɯ ɪɚɦɵ, ɞɨɥɠɧɚ ɩɨɜɬɨɪɹɬɶ ɤɚɪɬɢɧɭ ɪɚɫɩɨɥɨɠɟɧɢɹ ɭɡɥɨɜ ɜ ɫɯɟɦɟ ɪɚɦɵ (ɫɦ.

ɪɚɡɞɟɥ 8 ɩɨɫɨɛɢɹ).2. Ɉɩɪɟɞɟɥɟɧɢɟ ɩɟɪɟɦɟɳɟɧɢɣ ɜ ɋɈ ɪɚɦɟ ɜ ɜɢɞɟ ɡɚɦɤɧɭɬɨɝɨ ɤɨɧɬɭɪɚ.ȼ ɪɚɦɟ ɫ ɩɨɫɬɪɨɟɧɧɨɣ ɜ ɩɪɟɞɵɞɭɳɟɣ ɤɨɧɬɪɨɥɶɧɨɣ ɪɚɛɨɬɟ ɷɩɸɪɨɣ M ɬɪɟɛɭɟɬɫɹɨɩɪɟɞɟɥɢɬɶ: 1) ɢɡɦɟɧɟɧɢɟ ɪɚɫɫɬɨɹɧɢɹ ɦɟɠɞɭ ɬɨɱɤɨɣ W ɪɚɦɵ ɢ ɲɚɪɧɢɪɨɦ S ; 2) ɍɝɨɥ M R«ɪɚɫɤɪɵɬɢɹ» ɲɚɪɧɢɪɚ R (ɜɨɡɦɨɠɧɨ ɡɚɞɚɧɢɟ ɞɪɭɝɢɯ ɜɚɪɢɚɧɬɨɜ ɭɝɥɨɜ ɩɨɜɨɪɨɬɚ ɫɟɱɟɧɢɣ ɪɚɦɵ).252ɉɪɢɥɨɠɟɧɢɟ 3ȼɈɉɊɈɋɕɞɥɹ ɩɨɞɝɨɬɨɜɤɢ ɤ ɷɤɡɚɦɟɧɭ ɩɨ ɞɢɫɰɢɩɥɢɧɟ «ɋɬɪɨɢɬɟɥɶɧɚɹ ɦɟɯɚɧɢɤɚ»ɜ ɨɫɟɧɧɟɦ ɫɟɦɟɫɬɪɟ ɭɱɟɛɧɨɝɨ ɝɨɞɚ1. Ɉɛɳɢɟ ɜɨɩɪɨɫɵ1. Ɉɫɧɨɜɧɚɹ ɡɚɞɚɱɚ ɫɬɪɨɢɬɟɥɶɧɨɣ ɦɟɯɚɧɢɤɢ. ɉɨɧɹɬɢɟ ɨ ɪɚɫɱɟɬɧɨɣ ɫɯɟɦɟ ɫɨɨɪɭɠɟɧɢɹ.Ɉɫɧɨɜɧɵɟ ɞɨɩɭɳɟɧɢɹ, ɩɪɢɧɢɦɚɟɦɵɟ ɩɪɢ ɟɟ ɩɨɫɬɪɨɟɧɢɢ. ɋɬɟɪɠɧɟɜɵɟ ɫɢɫɬɟɦɵ ɢ ɢɯ ɞɟɬɚɥɢ.ɍɬɨɱɧɟɧɢɟ ɨɫɧɨɜɧɨɣ ɡɚɞɚɱɢ ɩɪɢ ɪɚɫɱɟɬɟ ɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦ.

ɉɨɧɹɬɢɟ ɨ ɝɟɨɦɟɬɪɢɱɟɫɤɢɧɟɢɡɦɟɧɹɟɦɵɯ ɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦɚɯ (ɋɋ). ɉɨɧɹɬɢɟ ɨ ɫɬɚɬɢɱɟɫɤɢ ɨɩɪɟɞɟɥɢɦɵɯ ɢ ɫɬɚɬɢɱɟɫɤɢɧɟɨɩɪɟɞɟɥɢɦɵɯ ɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦɚɯ. Ɇɟɬɨɞɵ ɪɚɫɱɟɬɚ ɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦ ɩɨ ɪɚɫɱɟɬɭ ɢɯɧɚɩɪɹɠɟɧɧɨ-ɞɟɮɨɪɦɢɪɨɜɚɧɧɨɝɨ ɫɨɫɬɨɹɧɢɹ (ɇȾɋ).2. ɉɨɧɹɬɢɟ ɨ ɠɟɫɬɤɢɯ ɞɢɫɤɚɯ.

ɋɩɨɫɨɛɵ ɢɯ ɨɛɪɚɡɨɜɚɧɢɹ. Ɏɨɪɦɭɥɵ ɞɥɹ ɩɨɞɫɱɟɬɚ ɫɬɟɩɟɧɢɫɬɚɬɢɱɟɫɤɨɣ ɧɟɨɩɪɟɞɟɥɢɦɨɫɬɢ ɲɚɪɧɢɪɧɵɯ ɛɚɥɨɤ, ɪɚɦ, ɚɪɨɤ ɢ ɮɟɪɦ. ɇɟɨɛɯɨɞɢɦɨɟ ɭɫɥɨɜɢɟɫɬɚɬɢɱɟɫɤɨɣ ɨɩɪɟɞɟɥɢɦɨɫɬɢ ɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦ. Ⱦɨɩɨɥɧɢɬɟɥɶɧɨɟ ɭɫɥɨɜɢɟ ɨ ɝɟɨɦɟɬɪɢɱɟɫɤɨɣɧɟɢɡɦɟɧɹɟɦɨɫɬɢ ɋɋ. ɋɬɪɭɤɬɭɪɧɵɣ ɚɧɚɥɢɡ ɋɋ.3. ɉɪɚɜɢɥɚ ɩɨɫɬɪɨɟɧɢɹ ɷɩɸɪ ɭɫɢɥɢɣ ɜ ɩɥɨɫɤɢɯ ɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦɚɯ. ɗɩɸɪɚɢɡɝɢɛɚɸɳɟɝɨ ɦɨɦɟɧɬɚ. ɉɪɨɰɟɞɭɪɚ ɩɨɫɬɪɨɟɧɢɹ ɷɩɸɪɵ Ɇ ɜɪɭɱɧɭɸ. ɉɪɢɡɧɚɤɢ ɩɪɚɜɢɥɶɧɵɯɷɩɸɪ Ɇ.

ɉɪɚɜɢɥɨ ɡɧɚɤɨɜ ɞɥɹ ɷɩɸɪɵ Ɇ ɧɚ ɝɨɪɢɡɨɧɬɚɥɶɧɨɦ ɢ ɜɟɪɬɢɤɚɥɶɧɨɦ ɷɥɟɦɟɧɬɚɯ ɬɢɩɚ 2ɩɪɢ ɢɫɩɨɥɶɡɨɜɚɧɢɢ ɩɪɨɝɪɚɦɦɵ SCAD.ɋɩɨɫɨɛ ɩɨɫɬɪɨɟɧɢɹ ɷɩɸɪɵ Ɇ ɜɪɭɱɧɭɸ ɧɚ ɭɱɚɫɬɤɟ ɩɪɹɦɨɝɨ ɫɬɟɪɠɧɹ ɫ ɪɚɜɧɨɦɟɪɧɨɪɚɫɩɪɟɞɟɥɟɧɧɨɣ ɧɚɝɪɭɡɤɨɣ. ɗɩɸɪɚ ɩɨɩɟɪɟɱɧɵɯ ɫɢɥ. ɉɪɨɰɟɞɭɪɚ ɩɨɫɬɪɨɟɧɢɹ ɷɩɸɪɵ Qɜɪɭɱɧɭɸ.ɉɪɚɜɢɥɨ «ɬɭɩɨɝɨ ɭɝɥɚ» ɞɥɹ ɨɩɪɟɞɟɥɟɧɢɹ ɧɚɩɪɚɜɥɟɧɢɹ ɜɟɤɬɨɪɚ ɩɨɩɟɪɟɱɧɨɣ ɫɢɥɵ ɜ ɥɸɛɨɦɫɟɱɟɧɢɢ ɛɚɥɤɢ ɩɨ ɷɩɸɪɟ M.Ⱦɜɚ ɫɩɨɫɨɛɚ ɨɩɪɟɞɟɥɟɧɢɹ ɡɧɚɱɟɧɢɹ ɭɫɢɥɢɹ Q ɢ ɟɟ ɡɧɚɤɚ. ɂɫɩɨɥɶɡɨɜɚɧɢɟ ɩɪɚɜɢɥɚ ɡɧɚɤɨɜɞɥɹ ɝɨɪɢɡɨɧɬɚɥɶɧɨɝɨ ɢ ɜɟɪɬɢɤɚɥɶɧɨɝɨ ɤɨɧɟɱɧɵɯ ɷɥɟɦɟɧɬɨɜ ɬɢɩɚ 2 ɜ ɩɪɨɝɪɚɦɦɟ SCAD.ɉɪɢɡɧɚɤɢ ɩɪɚɜɢɥɶɧɨɝɨ ɜɢɞɚ ɷɩɸɪɵ Q.

ɋɩɨɫɨɛ ɩɨɫɬɪɨɟɧɢɹ ɷɩɸɪɵ Q ɜɪɭɱɧɭɸ ɧɚ ɭɱɚɫɬɤɟɩɪɹɦɨɝɨ ɫɬɟɪɠɧɹ ɫ ɪɚɜɧɨɦɟɪɧɨ ɪɚɫɩɪɟɞɟɥɟɧɧɨɣ ɧɚɝɪɭɡɤɨɣ.Ⱦɜɚ ɫɩɨɫɨɛɚ ɨɩɪɟɞɟɥɟɧɢɹ ɡɧɚɱɟɧɢɹ ɢ ɡɧɚɤɚ N ɜ ɫɟɱɟɧɢɹɯ ɪɚɦ. ɂɫɩɨɥɶɡɨɜɚɧɢɟɦɧɨɝɨɭɝɨɥɶɧɢɤɚ ɫɢɥ ɞɥɹ ɝɪɚɮɢɱɟɫɤɨɝɨ ɨɩɪɟɞɟɥɟɧɢɹ ɩɪɨɞɨɥɶɧɵɯ ɫɢɥ ɜ ɭɡɥɚɯ ɪɚɦɵ ɩɨɩɨɩɟɪɟɱɧɵɦ ɫɢɥɚɦ.2. ɉɪɢɦɟɧɟɧɢɟ ɩɪɨɝɪɚɦɦɵ SCAD ɞɥɹ ɫɬɚɬɢɱɟɫɤɨɝɨ ɪɚɫɱɟɬɚ ɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦ(ɍɦɟɧɢɟ ɞɟɦɨɧɫɬɪɢɪɨɜɚɬɶ ɧɚ ɉɄ ɫ ɢɫɩɨɥɶɡɨɜɚɧɢɟɦ ɩɪɨɝɪɚɦɦɵ SCAD)2.1. Ɉɫɧɨɜɧɵɟ ɷɬɚɩɵ ɜɵɩɨɥɧɟɧɢɹ ɪɚɫɱɟɬɧɵɯ ɡɚɞɚɧɢɣ ɫ ɩɨɦɨɳɶɸ ɩɪɨɝɪɚɦɦɵ SCAD.2.2.

Ɍɢɩɵ ɤɨɧɟɱɧɵɯ ɷɥɟɦɟɧɬɨɜ, ɩɪɢɧɢɦɚɟɦɵɟ ɜ ɩɪɨɝɪɚɦɦɟ SCAD ɞɥɹ ɪɚɫɱɟɬɚ ɩɥɨɫɤɢɯɫɬɟɪɠɧɟɜɵɯ ɫɢɫɬɟɦ. ɉɪɚɜɢɥɚ ɡɧɚɤɨɜ ɞɥɹ ɭɫɢɥɢɣ ɜ ɭɡɥɚɯ ɝɨɪɢɡɨɧɬɚɥɶɧɨɝɨ ɢ ɜɟɪɬɢɤɚɥɶɧɨɝɨɷɥɟɦɟɧɬɨɜ ɧɚ ɩɪɢɦɟɪɟ ɩɥɨɫɤɢɯ ɫɬɟɪɠɧɟɜɵɯ ɷɥɟɦɟɧɬɨɜ ɬɢɩɨɜ 1 ɢ 2.2.3. ɉɨɫɬɪɨɟɧɢɟ ɝɟɨɦɟɬɪɢɱɟɫɤɨɣ ɪɚɫɱɟɬɧɨɣ ɫɯɟɦɵ ɩɥɨɫɤɨɣ ɫɬɟɪɠɧɟɜɨɣ ɫɢɫɬɟɦɵ.ɉɪɨɞɟɦɨɧɫɬɪɢɪɨɜɚɬɶ ɧɚ ɩɪɢɦɟɪɚɯ ɦɧɨɝɨɩɪɨɥɟɬɧɵɯ ɛɚɥɨɤ, ɪɚɦ ɢ ɮɟɪɦ ɫ ɠɟɫɬɤɢɦɢ ɨɩɨɪɚɦɢ.ɂɫɩɨɥɶɡɨɜɚɧɢɟ ɪɚɡɥɢɱɧɵɯ ɫɩɨɫɨɛɨɜ ɩɟɱɚɬɢ ɪɚɫɱɟɬɧɵɯ ɫɯɟɦ, ɩɨɫɬɪɨɟɧɧɵɯ ɜ ɪɚɛɨɱɟɦ ɨɤɧɟɞɢɫɩɥɟɹ ɤɨɦɩɶɸɬɟɪɚ ɩɪɢ ɪɟɲɟɧɢɢ ɫ ɩɨɦɨɳɶɸ ɩɪɨɝɪɚɦɦɵ SCAD.2.4.

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