Page 121 - 《哈尔滨工业大学学报》2026年第3期

じ ሉ ᱋ Чͥᶱᖈふ᧙ 㝖๕ஔ䶰჆ᬢ䬠䖫ⷜ㑂䭋䌋䍖⮰ ऀଲÞ ᣓݢも⪑ ኰ ϕ ϕ ጖ ኰ

Т㶔⹦⮰Ⴕڔᕓ㏒᲋সᣓݢᱺ䯱ᮚ䄦๗ܩ᪜ཽऀᒶÞɥ ∔䛶 ԣই ຮ჆⤲ Ԧ ᝬ䔜ᖈθ⁍㻰ܾ䬚䷄⮰छ㼏ᕓᖈं
᲍Т㶔⹦⮰⽟჆ᕓ㏒᲋㏿ऴ䊣Ბᖈ䕆䓳Ⅾ㼏θ⁍㻰 ۟κន㵸ஔ䒿ܦ̶⩸ ஏ ቑᑉନ 㘩॒␍䋟⩝㈧㐋ߔᔭᝬ۟
჆⮰ᣓݢ䰬Ⅾᤙ ᑿ౔ᣓݢ䒿ڑ䓥⩸㠯ఠڱᬌ∁ឪݜ
ܾ䬚䷄ᖈछБᓃݜ␍䋟ๆⰚᴳᣓݢ㺭Ⅾ⮰ᣓݢも⪑᧙
ࣩ ᔠ^ ϕ ᔠ` ␍䋟Б̷̹ふᐻ⮰ᣓݢऄ䛻 ஏ ᬢᖈθ⁍㻰ܾ䬚䷄⮰
᥁ ࣩ ࣩ խ ࣩ ᔠ
௿
௿
ࣩ ᑉʘ੡ ቑᔱႳ ᔠ ᔠ ᔠ ᔠ
ᔠ
Ԧ
छ㵸ഋछ㘩䔬ࡂͦ⾦䯲ᖈᄨ㜠ᣓݢஔ๝ᩴᤙ ᅩネ჆
­ ͧ ஏ ቑᑉନᖈᔠ ፞ஏ ፞ஏ ቑᑉନᖈᔠ ⤲ Ԧ Ϻ⤲䃦̶䃭ᬺβछ㵸㼏ႄ౔⮰ٱܲ᲍ТᖈѲः
°
ᔠ
° ᒦ Ⴌ խ ᒦ Ⴌ ஏ ፞ͧ ᤶ Ⴌ խ Р 䭼κ̶䔜ڟ㈧⮰ูᱮᕓᖈᅆ᱖ᐦ⿷ ஏ
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ᔠ
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° Þ ᔠ ᤩ ᔠ ஏ ᔠ ቑᑉନ ̺䶰჆ᬢ䬠ܜ
° Ԧ ཽᡓ ͧ ᡓ ɥ ஏ ͧ Р ཽ੖ խ ሂ ၊ 䖫ⷜ䌉⻧ࣶᣓݢ࣮᪜ͷ䬠⮰᭪ᐻ჆䛻ڟ㈧ᤙ Ϻ჆ᕓ
௿
° ͧ ቂ ᔠ ᔠ ᢝ ᔠ ይᆁᤓᖈᔠ Ԧ ᔠᢝᖈϕ ይᆁᤓᖈᔠᢝ ɥ፞ ̶ܲ᲼ᖈⷜ᧊㻰䖫᭛⶘㏒᲋ᖈ㠑౔ᣓݢ䒿ڑ䓥⩸ڱᬌ
°
°
໵ॹ ᡫॹ ® ͧ Ԧ ཽᡓ ͧ ᡓ ɥ ཽࣷ ፘ խ ᦵ ᡓ խ Ⴅ ɥխ ੖ խ ሂ ੖ ͧ ੖ ∁ឪݜछ㵸㼏ᖈछБ䕆䓳ۻᄻ ᤶ ⮰ըܜۻᄻᲪᑇఌ
௿
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ᔠ
ᔠ
ᔠ
ᔠ
ᔠ
ᔠ
ᢝ
° ቂ ᔠ ϕ ᔠᢝᖈϕ Ԧ ሉ ၼ Р ⮰ᱯ䛹ᝂ්ߌ䶰䃪჆⮰ᩢ᪇ᬢ䬠ᲑᩪᲪᄥᣓ
° ஏ ᔠ
° Ԧ ཽᡓ ͧ ᡓ ɥ ஏ խ Р ཽ੖ ͧ Ꭻ ၊ ɥ፞ ݢ⽟჆ᕓ⮰㏒᲋ᖈБӫᓃݜछ㵸㼏ᤙ
௿
° ቂ ᔠ ᔠ ᢝ ᔠ ይᆁႳႳᖈᔠ Ԧ ᔠᢝᖈϕ ይᆁႳႳᖈᔠᢝ
°
° ­ ᒦ Ⴌ խ ᒦ Ⴌ ஏ խ ᤶ Ⴌ ᤔԗ
ᔠ
ᔠ
ᔠ
ᔠ
ᔠ
ᤩ ᔠ
Þ ᔠ
Ԧ
° ቂ ཽᡓ ͧ ᡓ ɥ ཽࣷ ፘ խ ᦵ ᡓ խ Ⴅ ɥͧ ੖ ͧ Ꭻ ੖ խ ੖ ሉ ° ϕ Ԧ ௿
௿
°
ᔠ
ᔠ
ᔠ
ᔠ
ᔠ
ᔠ
ᢝ
ᔠᢝᖈϕ Ԧ
ϕ
¯
°
ᔠ
ᔠ
ᔠ
ᔠ
ᢝ
ᔠ
ᔠ
ᔠ
° ੖ խ ሂ ၊ ይᆁᤓᖈᔠᢝ ቂ ᔠ ཽᡓ ͧ ᡓ ɥ ཽࣷ ፘ խ ᦵ ᡓ խ Ⴅ ɥ
ᔠᢝᖈϕ
Ԧ
ཽሉԦɥ °
° ͧ ੖ ͧ ሂ ੖ խ ੖ ͧ Ԧ ᡓ ͧ ᡓ ᢝ
௿
ஏ ᤔԗ
௿
ᐻ͙᧙ ࣩ ᡫ Ѕஏ ᖈР ᖈР ᖈР ૆ ଟ፤᪜ ᤶ ᢚԗଟᲪᑇ ஏ ᡽ ® ϕ ᔠᢝᖈϕ Ԧ ሉ ቂ ᔠ ᔠ
௿
ᔠ ᔠ ஏ ᔠ ይᆁᤓᖈᔠ ይᆁႳႳᖈᔠ ᔠ ᔠ ᔠ
°
ऄ䛻 Р ᤔԗଟ ° ϕ Ԧ
௿
ஏ ᔠ ཽᡓ ͧ ᡓ ɥ ཽࣷ ፘ խ ᦵ ᡓ խ Ⴅ ɥ
ᔠ
ᔠ
ᔠ
ᔠ
ᔠ
ᢝ
ᔠ
§ Ԧ · § Ԧ · ° ੖ ͧ Ꭻ ᔠᢝᖈϕ ၊ ይᆁႳႳᖈᔠᢝ ቂ ᔠ
Ԧ
ᢝ
¨ ቂ Ԧ ሉ ¸ ¨ ͧ Ԧ ཽࣷ ፘ խ ᦵ ᡓ խ Ⴅ ɥ ¸ °
ᧇ ԗԗԗ
ᔠ
ᔠ
ᔠ
ᔠ
ᔠ
¨ ᔠ ¸ ¨ ቂ ᔠ ¸ ° ͧ ੖ ͧ Ꭻ ੖ խ ੖ ͧ Ԧ ཽᡓ ͧ ᡓ ɥ ஏ ᤔԗ
௿
°
ᔠ
ᔠ
¨ फ ԗԗ ¸ ¯ ϕ ᔠᢝᖈϕ Ԧ ሉ ቂ ᔠ
঒ ᡽ ԗ ଟ ᡽ ¨ ԗ ¸ᤙ
ᔠ ¨ ϕ ¸ ᔠ ¨ ¸
¨ ԗ ԗ फ ԗ ¸ ¨ ԗ ¸ ཽሉ᣷ɥ
Ԧ
¨ ¸ ¨ ¸ ᥁ ᥁ ᥁
© ԗ ԗ ԗ फ ሉ ¹ © ԗ ¹ ჆⤲ ᇺই 㠑ᄲθ⁍㻰ܾ䬚䷄⮰㼏䃜҈ ࣩ ᡽Ѕஏ ܜР ܜ
ᔠ
ᔠ
ஏ ᔠ
჆⤲ ԣই 㠑䯲ऴ ᡽Ѕ ͧ ஏ ቑᑉନᖈᔠ ᖈ ஏ ቑᑉନᖈᔠ ૆䲊⾦ᖈ݅ᄥᝬᰵ Р ᥁ ܜР ᥁ ૆ᖈ̀ᄥκᝬᰵ ᡓ ໖᧛Ⴓᡫཽཽࣷᡙɥɥᖈڢ͙ ཽࣷᡙɥ᡽
ይᆁᤓᖈᔠ
ᔠ
ይᆁႳႳᖈᔠ
ᔠ
᥁
␍䋟 Ⴌ ᢚԗᖈᣴ ᔠᢝᖈԦ ᢚԗ ࣶ ಌ ᔠᢝᖈԦ ᢚԗ ⮰࣮᪜ᖈθ⁍㻰ܾ䬚 Ѯᡓ ໖໖᣽ ሉ ಌ ᔠᢝᖈԦ ᤔԗᖈᣴ ᔠᢝᖈԦ ᤔԗୋᖈ౳ᰵ Р ᤔԗᖈ䗏ʹᣓ
ᔠ
ஏ ᔠ
ᔠ
᥁
䷄⮰㼏ႄ౔̀ਜ਼̬ᤙ ݢᒷ ஏ ᡽ ஏ छ⶚ԉ㑂䭋䌋䍖䄛ጚ ᓣ ౔䶰䃪჆ᬢ䬠
ᔠ
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ᔠ
ڱϺЧᘻ݉໷⟢ᔭ ᡓ ཽԗɥ໖᧛Ⴓᡫཽཽࣷᡙɥɥᩢ᪇ݜ᎟㶍◥ᤙ
䃭ᬺ঒ 䔵᠕Чᘻ ஏ ໖ ̀჆͵᧙ ᔠ
ᔠ
ᔠ
᥁
䃭ᬺ঒ ᵥᢚᱺ䯱ᮚ䄦๗⽟჆ᕓ⤲䃦ᖈ㠑ऄ䛻 Р ᤔԗᖈ
Р ᡽ ᒦ Ⴌ խ ᒦ Ⴌ ஏ խ ᤶ Ⴌ ཽሉሉɥ ஏ ᔠ
ஏ ᔠ Þ ᔠ ᔠ ᤩ ᔠ ᔠ ᔠ ᔠ ᔠ ݅㈧㐋ཽϕ࿋ɥڣᰵ̬㜠℁》ᰵ⩸ᕓᤙ 䔅̬ᕓ䉔㶔ᬺᖈ
ϕ Ԧ
Р ᡽ ཽᡓ ͧᡓ ɥ ཽࣷ ፘ խᦵ ᡓ խႥ ɥ ͧ ㈧㐋ऄ䛻 ۛ ཽᡙɥ᡽ Ѕۛ ཽᡙɥᖈᓣ ཽᡙɥ૆ ⮰ᰵ⩸ᕓछⰠᣑ
௿
௿
௿
௿
ᔠ
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ᔠ
ᔠ
ᢝ
ᔠ
ይᆁᤓᖈᔠ
੖ խሂ ၊ ቂ ᔠ ᔠ צᔠ
Ԧ ᔠᢝᖈϕ ይᆁᤓᖈᔠᢝ ᔠ
঒ ᣔᄨܦऄ䛻 ۛ ཽᡙɥ⮰ᰵ⩸ᕓᤙ ㏿ऴ Ԧ঄ ϕ ᄻ㞮⮰⤲䃦
Ԧ ᢝ ᔠ
௿
঒঒ ঒ ੖ ͧሂ ੖ խ੖ ͧ ཽᡓ ͧᡓ ɥ ஏ ܲ᲼ᖈᑿऄ䛻 ۛ ཽᡙɥԉᠭᰵ⩸ᬢᖈ㑂䭋䄛ጚ ᓣ ཽᡙɥᄲ͑
ϕ ᔠᢝᖈϕ Ԧ ሉ ቂ ᔠ ᔠ
ᔠ ᔠ ᔠ
ᵨ䖡ᓖ䶰䃪ᕓ㘩䓥⩸⑀ࡂᖈᎢ㘩౔䶰ٴ䃪჆⮰ᬢ䬠
ཽሉ࿋ɥ
ڱᩢ᪇㜟⽟ᔭഋᤙ ऒโᖈᵥᢚ Ԧ঄ Ԧ ᄻ㞮⮰⤲䃦ܲ᲼ᖈ
঒
ϕ Ԧ θ⁍㻰ܾ䬚䷄͙ᣓݢ䯈ⶹܩ᪜㏒᲋ᄲԉ䃭䯲ऴ
௿
Р ᡽ ཽᡓ ͧ ᡓ ɥ ཽࣷ ፘ խ ᦵ ᡓ խ Ⴅ ɥ ͧ
ይᆁႳႳᖈᔠ ੖ ͧ Ꭻ ၊ ቂ ᔠ ᢝ ᔠ ᔠ ᔠ ᔠ ᔠ ཽࣷᡙɥ᭛ݹऽ̹ऄ⮰ᖈఌ㔸౔ᰬфᣓݢᒷ ஏ ᥁ ⮰҈⩔
ᔠ
Ԧ ᔠᢝᖈϕ ይᆁႳႳᖈᔠᢝ ᔠ
Ԧ ᢝ ̷ᖈ㈧㐋⟢ᔭᄲ໷㏴౔Ⴕڔ䯲ऴ ཽࣷᡙɥڱ⑀ࡂᤙ 㐨̶
௿
঒঒ ঒ ੖ ͧ Ꭻ ੖ խ ੖ ͧ ཽᡓ ͧ ᡓ ɥ ஏ
ϕ ᔠᢝᖈϕ Ԧ ሉ ቂ ᔠ ᔠ ᔠ ᝬ䔜ᖈⅮ㼏θ⁍㻰ܾ䬚䷄ᓃݜ⮰ᣓݢも⪑छ⶚ԉ㝖
๕ஔ㑂䭋㈧㐋౔䶰჆ᬢ䬠ڱ჊⣜᱋᱇㑂䭋Ჰಷᖈस
ཽሉ጖ɥ
ᬢ␍䋟䖫ⷜܜ䔊䕆ᕓԉᠭБࣶន㵸ᱦᲰ亝স㏒᲋ᤙ
ᐻ͙ᖈ ஏ ܜР ܜР ይᆁᤓᖈᔠ ܜР ይᆁႳႳᖈᔠ ␍䋟ᐻཽሉԦɥ ͙⮰㏒᲋ᖈఌₐ
ᔠ
∔䛶 ᇺই 㮩♢͙᪳჆͵⮰㑂䭋䌋䍖䄛ጚ ᓣ ᭛ڔᅬ
ஏ ᔠ
ᔠ
㠑䕆䓳䄯᪠࣮᪜ ᤶ ܜሂ ᔠᢝᖈϕ স Ꭻ ᔠᢝᖈϕ ҫᓃ Р ᢚԗᖈР ይᆁᤓᖈᔠ ᢚԗᖈ ⮰ᖈ࢟ᄥκЧᘻ݉໷䌋䍖䄛ጚ ᓣ ཽԗɥᖈख㺭ន㵸ஔ亝
ᔠ
ஏ ᔠ
ᔠ
Р ᢚԗᖈ݅θ⁍㻰ܾ䬚䷄⮰㼏ႄ౔ᤙ ⩝κᐻཽሉԗɥ স㏒᲋छ㵸ཽ࢟θ⁍㻰ܾ䬚䷄ᰵ㼏ɥᖈ䶰჆ᬢ䬠ᕓ㘩
ይᆁႳႳᖈᔠ
᭛̬͖ܤ⮰θ⁍㻰ܾ䬚䷄ᖈ̀छ㵸䯲ऴ᭛䲊⾦⮰ᖈఌ ܩ᪜স䄛ጚ䒘ᢎឬᱛछԉ䃭 ᓣ ཽԗɥ౔ ᡙ፞௴ ᬢ䔇ڑ䶰
ᔠ
㔸㼏᭛ਜ਼̬⮰ᤙ 䃪⽟ᔭࡦഋᖈ̹̀ः݉໷䄛ጚ፱ը⮰ᒝ৹ᤙ Ѳ᭛ᄥ