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Reduction of the Vibration Transmissibility for the Sea-Water Conveying Pipe in a Ship According to its Mount Shape

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Academic year: 2021

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(1)

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h‰š›™ˆŠ›

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–G ˆG š—UG {ŒG •–šŒG ˆ›G ›ŒG ŽG ™Œ˜œŒ•Š G ™ˆ•ŽŒG œšœˆ““ G Š–”ŒšG ™–”G ›ŒG “œ‹G “–ž•ŽUG {ŒG

•–šŒG ™–”G ›ŒG šŒˆTžˆ›Œ™G Š–•Œ •ŽG ——ŒG šG –•ŒG –G ›ŒG ”ˆ•G š–œ™ŠŒG –•G ›ŒšŒG ŽG

™Œ˜œŒ•Š G ™ˆ•ŽŒUG {Œ™Œ–™ŒSG ›ŒG ›™ˆ•š”šš‰“› G ˆ™ˆ›–•šG ˆ™ŒG Œˆ“œˆ›Œ‹G ˆŠŠ–™‹•ŽG ›–G ›ŒG

šˆ—ŒG –G ›ŒG ™œ‰‰Œ™G ”–œ•›UG {ŒG Œˆ“œˆ›–•šG ˆ™ŒG —Œ™–™”Œ‹G ž›G ›ŒG ™Œ˜œŒ•Š G ™Œš—–•šŒG

œ•Š›–•G •œ”Œ™Šˆ““ G ˆ•‹G ŒŸ—Œ™”Œ•›ˆ““ UG

୔rŒ ž–™‹šaG zŒˆTžˆ›Œ™G Š–•Œ •ŽG ——ŒO䚨㍌㢨㋕ⵤḴPSG yœ‰‰Œ™G ”–œ•›OḔⱨG ⫼㟨䏬PSG m™Œ˜œŒ•Š G

™Œš—–•šŒG œ•Š›–•O㨰䑀㍌G 㢅␩G 䚜㍌PSG {™ˆ•š”šš‰“› O㤸␠⪔P

XUG ㉐G ⦔

㺐ἰG ㉔ⵉG ㇤㛹㢌G ⵐ㤸ḰG ⒈⺼㛨G ㍌㩅G ⵝ㇠G ㋀ 㢀㡸G 䔠䚜䚐G ㉔ⵉ㢌G 㤴㋀㢀䞈㝴G Ḵ⥜═G 㜤ẠᴴG 䞐 ⵐ䢼G 㫸䚽╌ḔG 㢼␘UG 䏭䢼G 䚨㍌⪰G 㢨㋕䚌⏈G ㋀䞈G ⵃG ⇽ᴵG ᷸䋩G ⵤḴ㢌G ᷱ㟤G ㋀㢀SG 㫸┍㢌G 㨰㟈G ㋀

㏘Oz–œ™ŠŒP⦐SG 㢨⪰G 㨸㢨ὤG 㠸䚨㉐G 䝉ㇵ㡸G ␜㍐䞈 䚌ḔG 㡔⣽㡸G 㨸㢨⏈G ☥㢌G ␴㵹㢨G ㍌䚽╌ḔG 㢼␘U

㥅㍌㢰aG YWW_≸G ^㠈G Z㢰SG ㏭㢬㢰aG YWW_≸G XW㠈G X[㢰

Ẅ㐔㤴㣄aG ž‰‘Œ–•Žg—œšˆ•UˆŠU’™SG G W\\T]_WT]Z`Z

䚌㫴⬀G ㉔ⵉ㢌G ⸩㣕䚐G Ạ㦤G ⚀ⱬ㜄G ⵤḴ㡸G ␜㍐

䞈䚌ὤᴴG ㎱㫴G 㙾ḔSG 㣙⽸㜄㉐G 䙸㟈⦐G 䚌⏈G ㋀䞈

㍌⣽ḰG ⇽ᴵ㍌⣽㡴G ㉘᷸G ␜᷸㜄㉐G ⴬⫠G 㥉䚨㫴ὤG

⚀ⱬ㜄G 䜸㣙㜄㉐G 㢨☘㡸G 㦤㥉䚌ὤᴴG ㎱㫴G 㙾㡴G ㇵ 䞝㢨␘UG 㢨⤠䚐G ⱬ㥐㥄☘㜄G ␴䚐G ␴㵹㡸G ⫼⥜䚌ὤG 㠸䚨㉐⏈G 㟤㉔㤵㡰⦐G ⵤḴ㢌G Ạ㦤ὤ㢬G ㋀㢀 Oz›™œŠ›œ™ŒG ‰–™•ŒG •–šŒP㡸G ἐ㥐䚨㚰⬀G 䚐␘UG 㐘㥐

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Ạ㦤G 㫸┍㜄G 㢌䚐G ㋀㢀㡸G 㨸㢨⏈G ⵝⷉ㡰⦐⏈G 㫸┍G

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䚐䝉㉑SG 㥉㢌⸽SG 㵜㜵㨰 ]_`

㠄Oz–œ™ŠŒPG 㣄㷨⪰G 㤴ᵄ䚌⏈G ⵝⷉ㢨G ᴴ㣙G 㦿㫴⬀SG 㫸┍㢌G 㤸␠ᷱ⦐⪰G 㥐㛨䚌⏈G ⵝⷉ⓸G ⬘㟤G 䟜Ḱ㤵 㢨␘UG 㢨G ⚀ⱬ㜄G 㣙⽸㢌G 㫸┍㡸G 䟜Ḱ㤵㡰⦐G 㤼㜤 䚌⏈G 㜤Ạ☘㢨G ᷸㋁㤵㡰⦐G 㫸䚽╌ḔG 㢼㡰⮤

Ojœ•ŽG Œ›G ˆ“UG YWW[SG sŒŒG Œ›G ˆ“UG X``WSG t––•G Œ›G

ˆ“UG YWW_PUG 䏭䢼G 㫸┍G 㤼㜤㷨⦐㒜G ⬘㟤G 䇵㠈䚐G ㉥

⏙㡸G ᴴ㫴⏈G ḔⱨG 㣠⨀㜄G ␴䚐G 㜤ẠᴴG 䞐ⵐ䢼G 㢨

⨜㛨㫴ḔG 㢼␘Or”G ˆ•‹G r”G YWWZSG u–G Œ›G ˆ“UG YWW_PU

⸬G ⊰ⱬ㜄㉐⏈G ⵤḴ㢌G Ạ㦤ὤ㢬G ㋀㢀㡸G 㨸㢨ὤG 㠸 䚐G 䚌⇌㢌G ⵝⷉ㢬G 㫸┍G 㤼㜤ḰG Ḵ⥜䚌㜠G ⸨␘G 䟜 Ḱ㤵㢬G 㫸┍G 㤼㜤㡸G 㠸䚐G ⫼㟨䏬㢌G 䝉ㇵ㜄G ␴䚨㉐G

⺸㉑䚌Ḕ㣄G 䚐␘U

⸬G ⊰ⱬ㡴G 㟤㉔G ㉔ⵉG ⇨G 䚨㍌G 㢨㋕G ⵤḴ㢌G 㫸┍G 㐘㽕㡸G 䋩䚨G ⫼㟨䏬㢌G 㫸┍G 㤼㜤㜄G ␴䚐G 䙸㟈㉥㡸G 㛬Ἵ䚌ḔSG 㜠⤠G ᴴ㫴G ⫼㟨䏬G 䝉ㇵ㜄G ♤⪬G 㫸┍G 㤸

␠⪔㡸G 䚨㉑㤵㡰⦐G ᶴ䋔䚌㜴␘UG ⵤḴG ㋀㢀㢌G ᷱ㟤G 㨰⦐G Ḕ㨰䑀G ␴㜡㜄㉐G ⱬ㥐ᴴG ╌ὤG ⚀ⱬ㜄G ⫼㟨䏬 㢌G Ḕ㨰䑀G 䏭㉥㜄G ♤⢰G ␠⢰㫸␘UG ♤⢰㉐G 㢨⤠䚐G

⫼㟨䏬㢌G Ḕ㨰䑀G 䏭㉥㜄G ␴䚐G 䓽ᴴ⪰G 㠸䚨G 㨰䑀㍌G 㢅␩䚜㍌⪰G ᴴ㫴ḔG ⵤḴG ⫼㟨䏬G 䓽ᴴG 㫴Ἤ⪰G 㢨㟝 䚌㜠G ḔⱨG ⫼㟨䏬G 䝉ㇵ㜄G ♤⪬G ⵤḴ㢌G 㫸┍G 㤼㜤G

㉥⏙㡸G 㐘䜌㤵㡰⦐G ⺸㉑䚌㜴␘U

YUG 䚨㍌G 㢨㋕G ⵤḴG 㫸┍㢌G 㐘㉔G ᷸㽕

⸬G 㜤Ạ㜄㉐G ᷸㽕䚐G 䚨㍌㢨㋕G ⵤḴ㡴G ㋀䞈㟝G ⵤ Ḵ㡰⦐G X␴㢌G 㠄㐠G 䓀䘸⦐G Ạ┍╌⮤G 㢨⚀㢌G 㡔⣽

㡴G YY^”ZVSG 㚉⥙㡴G _UW‰ˆ™㢨␘UG ㋀䞈G ⵤḴ㡴G ㉔ ⵉG 㤸㷨㜄G ㉘㾌╌㛨G 㟨㟝╌ὤG ⚀ⱬ㜄G ␘⪬G ⵤḴ⸨

␘G 䆤G ㋀㢀ḰG 㫸┍㡸G 㡔ⵐ㐐䇜␘UG ⸬G 㤼㜄㉐⏈G 㢨

⤠䚐G ㋀䞈G ⵤḴ㢌G 㫸┍G ⱬ㥐⪰G 䑀㙹䚌ὤG 㠸䚨㉐G

㋀䞈䓀䘸⪰G ┍㣅G 㐐䁤㡸G ⚀G ⵤḴG ⢰㢬G ⵃG ᷝⷱ㢌G 㫸┍㡸G ᷸㽕䚌㜴␘UG ᷸㽕㡴G k ›™ˆ•㇠㢌G { —ŒG Y`^^G ᴴ㋁⓸᷸㝴G iMr㇠㢌G wœ“šŒG Z\]WjG 㨰䑀㍌G

⺸㉑ὤ⪰G ᴴ㫴ḔG ㋀䞈G 䓀䘸㐘G ⵃG 䚜㞬G 䋔㻐Ạ㜄㉐G

㍌䚽䚌㜴␘UG 㢨⚀G 㨰䑀㍌G ⷈ㠸⏈G ㍌㩅G ⵝ㇠G ㋀㢀 㢨G ⱬ㥐ᴴG ╌⏈G 㨰䑀㍌⪰G 䔠䚜䚌㜠G YW¥XW’o¡G ᾀ 㫴G XVZG 㝙䇴⽀OvŠ›ˆŒP⦐G 㽕㥉䚌㜴␘UG

mŽUG X㡴G ㉔ⵉG ⇨㜄G ㉘㾌╌㛨G 㢼⏈G ㋀䞈䓀䘸G G

Suction Discharge

1st Mount 2nd Mount

Fire Pump

mŽUG XG wŠ›œ™ŒG –G ›ŒG ™ŒG —œ”—G

1E-04 1E-03 1E-02 1E-01 1E+00 1E+01 1E+02

1E+01 1E+02 1E+03 1E+04

Frequency[Hz]

Acceleration[m/s2]

On the 1st Mount On the 2nd Mount Base of the pump MIL-Std-740-2(Type 2)

mŽUG YG XVZG –Š›ˆŒG š—ŒŠ›™œ”G –G ›ŒG

ˆŠŠŒ“Œ™ˆ›–•G –•G ›ŒG ”–œ•›G ˆ•‹G ›šG ‰ˆšŒ

㢨⮤SG 㫸┍G ᷸㽕㡴G 㟤㉔G 䓀䘸㢌G ⫼㟨䏬G ㇵ␜G ⵃG ⵈ␙㜄G ␴䚨㉐G ㍌䚽䚌㜴␘UG mŽUG Y⏈G 㽕㥉G ᷤḰG XVZG 㝙䇴⽀G ㏘䓍䏬⤰㢨␘UG mŽUG Y㜄㉐G Y㩅G ⫼㟨䏬G

㇠㟝㡰⦐G 䓀䘸G 㫸┍㢨G ⫼㟨䏬⪰G 䋩Ḱ䚐G 䟸G ⬂㢨G ᵄ㋀╜㡸G ⸰G ㍌G 㢼㡰⇌SG ⵈ␙G 㫸┍㢌G ᷱ㟤G X¥ZUX\’o¡㜄㉐G 㝘䢼⥘G 㫑ᴴ╜㡸G 㚀G ㍌G 㢼㛼␘UG 㢨⏈G ⵈ␙G 㫸┍㢨G ␘⪬G ㋀㏘㜄G 㢌䚨G ᴴ㫸╌㛼ᶤ

⇌SG ❄⏈G ⵈ␙G ᵉ㉥㢨G 㚱䚨㉐G 㢨G 㨰䑀㍌G ␴㜡㜄㉐G 㫸┍㢨G 㫑ᴴ䚼㢀㡸G 㜼㽕䚔G ㍌G 㢼␘U

mŽUG Z㡴G 䓀䘸㢌G 䢕㢹G ⵤḴSG 䆨⣜䘸G ⵃG ⵈ␙㜄㉐㢌G 㫸┍G 㽕㥉G ᷤḰ㢨␘UG 㽕㥉G ᷤḰ⦐⺴䉤G 䢕㢹ḴG 㫸

┍㢨G _WWo¡¥[’o¡㜄㉐G ⬘㟤G 䆰㡸G 㚀G ㍌G 㢼㛼␘UG 䏭䢼G 䢕㢹G ⵤḴ㢌G ᷱ㟤G ᷝ㐘G 䚌⺴⦐⺴䉤G ⵤḴ㢨G

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⫼㟨䏬G 䝉ㇵ㜄G ♤⪬G ㉔ⵉ㟝G 䚨㍌G 㢨㋕G ⵤḴ㢌G 㫸┍G 㤸␠⪔G ᵄ㋀

]`W

㜤ᷤ╌㛨G 㢼ḔSG ᷝ㐘G 䋩Ḱ⺴⏈G 㫸┍G 㤼㜤G 㛺㢨G ⵈ

␙ḰG 㫵㥅G 㟝㥅╌㛨G 㢼ὤG ⚀ⱬ㜄G 䢕㢹ḴG 㫸┍㢨G Ἤ␴⦐G ⵈ␙㡸G ᴴ㫸㐐䇜␘UG ♤⢰㉐G mŽUG Y㢌G ⵈ␙G 㫸┍㢨G X¥ZUX\’o¡㜄㉐G 䆤G 㢨㡔ᴴG 䢕㢹ḴG 㫸┍㢨G Ἤ␴⦐G ⵈ␙㡰⦐G 㤸␠╌ḔG 㢼ὤG ⚀ⱬ㢸㡸G 㐘䜌㡸G 䋩䚨G 㜼㽕䚔G ㍌G 㢼㛼␘UG mŽUG [⏈G 䋔㻐G ⵤḴSG 䆨⣜

䘸G ⵃG 䆨⣜䘸G ⵈ␙㜄㉐㢌G 㫸┍G 㽕㥉G ᷤḰ㢨␘UG m ŽšU G Z S G [㜄㉐㝴G ᵍ㢨G ⵤḴG 㫸┍㢌G ᷱ㟤G tpsTz›‹T^[WTY㜄㉐G 㥐㐐䚌⏈G ⵬⽀G ἐᷝ㡸G 䆠᷀G 㸼Ḱ䚜㡸G 㚀G ㍌G 㢼㛼㡰⮤SG 䆨⣜䘸㜄㉐㢌G 㫸┍G ⤼ ⷜ⓸G 㢨G ἐᷝ㡸G 㸼Ḱ䚜㡸G 㚀G ㍌G 㢼㛼␘UG 㐘䜌G ᷤ Ḱ⦐⺴䉤G 䓀䘸G ␜䖼G 㐐䜌G 㐐G 䓀䘸G ☥㢌G Ạ㦤G 㫸┍G

⤼ⷜ㡸G ἐ㥐䚌ḔG 㢨⪰G 㨸㢨ὤG 㠸䚨G ⬂㡴G ⽸㟝ḰG 㐐ᴸ㢨G 䍠㢹╌ḔG 㢼㫴⬀SG ⵤḴG 㫸┍㜄G ␴䚐G 䟜Ḱ 㤵㢬G 㫸┍G 㤼㜤G ␴㵹㡸G ㍌⫱䚌㫴G 㙾⏈G 䚐G 㢨☘㢨G

1E-04 1E-03 1E-02 1E-01 1E+00 1E+01 1E+02

1E+01 1E+02 1E+03 1E+04

Frequency[Hz]

Acceleration[m/s2]

Suction Clamp of the suction Base of the clamp for suction MIL-Std-740-2(Type 2)

800Hz~4kHz

mŽUG ZG XVZG –Š›ˆŒT‰ˆ•‹G š—ŒŠ›™œ”G –G ›ŒG

ˆŠŠŒ“Œ™ˆ›–•G –™G ›ŒG šœŠ›–•G ——ŒG ˆ•‹G ›šG ‰ˆšŒ

1E-04 1E-03 1E-02 1E-01 1E+00 1E+01

1E+01 1E+02 1E+03 1E+04

Frequency[Hz]

Acceleration[m/s2]

Discharge Clamp of the discharge Base of the clamp for discharge MIL-Std-740-2(Type 2)

mŽUG [G XVZG –Š›ˆŒG š—ŒŠ›™œ”G –G ›ŒG ˆŠŠŒ“Œ™ˆ›–•G

–•G ›ŒG ‹šŠˆ™ŽŒG ——ŒG ˆ•‹G ›šG ‰ˆšŒ

ἬG 䟜Ḱ⪰G ⵐ䡌䚌ὤ⏈G 䣌☘G ᶷ㡰⦐G 䑄␜═␘UG ♤

⢰㉐G ⸬G ⊰ⱬ㜄㉐⏈G ⵤḴ㢌G 䟜Ḱ㤵㢬G 㫸┍G 㤼㜤㡸G 㠸䚌㜠G ⫼㟨䏬G 䝉ㇵ㜄G ␴䚐G ⺸㉑㡸G ㍌䚽䚌Ḕ㣄G 䚐

␘UG

ZUG ⫼㟨䏬G 䝉ㇵ㜄G ♤⪬G 㫸┍G 㤸␠⪔

㢰ⵌ㤵㡰⦐G ㉔ⵉG ⇨G ⵤḴ㢌G 㫸┍G 㤼㜤㡸G 㠸䚨㉐G ḔⱨG ⫼㟨䏬ᴴG ⬂㢨G ㇠㟝╌ḔG 㢼␘UG Ḕⱨ⏈G 䇸㉥

ḰG 㥄㉥㡸G ⯜▄G ᴴ㫴ḔG 㢼⏈G 㣠⨀⦐G 㫸┍G 㤼㜤㜄G

≄⫠G ㇠㟝╌ḔG 㢼␘UG 䚌㫴⬀G Ḕⱨ㢌G ᷱ㟤G 䞌ᷱ㤵 㢬G 㜵䛙㜄G ♤⢰G ⽸㉔䝉㤵㢬G 䏭㉥㡸G ᴴ㫴ὤG ⚀ⱬ㜄G ḔⱨG ⫼㟨䏬㢌G 㣠㫼㡴G ㉘㾌㦤ᶨ㡸G Ḕ⥘䚌㜠G ㉔㥉

╌㛨㚰G 䚐␘UG 㢨⤠䚐G 㣠㫼G 䏭㉥G 㩅G 㫸┍㤼㜤ḰG Ḵ

⥜䚌㜠G ᴴ㣙G 㩅㟈䚐G 䏭㉥㡴G Ḕⱨ㢌G ᵉ㉥㢨␘UG Ḕ ⱨ㢌G ᵉ㉥㜄G 㜵䛙㡸G 㨰⏈G 㢬㣄⏈G 䞌ᷱ㤵㢬G 㟈㋀㜄G 㢌䚐G ᷱ䞈SG 㚉㻉㜄G 㢌䚐G ⷴ䝉SG 㥐㦤G 㐐G ⵤ䚝㜄G ♤

⪬G ᷱ⓸SG 䝉ㇵ㜄G ♤⪬G 䝉ㇵ㢬㣄G ☥㢨G 㢼␘UG ⸬G ⊰ ⱬ㜄㉐G ␘⨜Ḕ㣄G 䚌⏈G ḔⱨG ⫼㟨䏬㢌G ᷱ䞈SG 㚉㻉G ⵃG ᷱ⓸㜄G ␴䚐G 䟜Ḱ⏈G ⸬G 㜤ẠG 㢨㤸㜄G ␘⨜㛼⒌G 䑀⢰⴬䉤G 㜤ẠOoˆ•G Œ›G ˆ“UG YWW_P⪰G 䋩䚨G 㢨⴬G ␘

⨜㛼㛼␘UG ⸬G ⊰ⱬ㜄㉐⏈G 㻈ᴴ㤵㡰⦐G ⫼㟨䏬㢌G 䝉 ㇵ㜄G ␴䚐G ᶴ䋔⪰G 䋩䚨G Ḕⱨ⫼㟨䏬㢌G 㫸┍G 㤼㜤G

㉥⏙㡸G 㻈ᴴ㤵㡰⦐G 䛙ㇵ㐐䇘Ḕ㣄G 䚐␘UG

ZUXG ḔⱨG ⫼㟨䏬G 䝉ㇵG ⷴᷱ

ḔⱨᴴG 㚉㻉⥙㡸G ⵏ㡸G ⚀G 䝉ㇵ㜄G ♤⢰G ᵉ㉥㢨G

ⷴ䚐␘UG 㢰ⵌ㤵㡰⦐G 㚉㻉㡸G ⵏ㡸G ⚀G Ḕⱨ㢌G ⺴䖶 㢨G 䛼㟝╌⏈G ⮨㤵㢨G 䆨㍌⦑G ᵉ㉥㡴G 㨸㛨☘⮤G 㢨⏈G 㐑OXP¥OYP⦐㒜G ㉘⮹═␘Oh•‹™ŒžG X```SG rzG YWW]PUG 㐑OXP㡴G 㠄䋩G 䝉ㇵ㢌G ḔⱨG ⽈⦑㜄G ␴䚐G ᶽ⸨ὤG 䇸

㉥⪔Oh——ˆ™Œ•›G ”–‹œ“ŒšG –G Œ“ˆš›Š› P㢨⮤G ḔⱨG

⫼㟨䏬㢌G 䇸㉥⪔㡴G 㐑OYP㝴G ᵍ㢨G 䣌㡸G ⵏ⏈G ⮨㤵 ḰG ⷴ䝉䚔G ㍌G 㢼⏈G ⮨㤵㢌G ⽸㢬G 䝉ㇵG 㢬㣄Ozˆ—ŒG

ˆŠ›–™P㜄G ♤⢰G ␠⢰㬄㡸G 㚀G ㍌G 㢼␘U ) (

1 ȕ s

2

E

E

 OXP

l

4 dl d 4 ʌ d s ʌ

2

) /(

)

( OYP

(4)

䚐䝉㉑SG 㥉㢌⸽SG 㵜㜵㨰 ]`X

㜠ὤ㉐GĘG⏈G 㐐⨀㢌G ᶽ⸨ὤG 䇸㉥⪔SGlG⏈GḔⱨG㣠

⨀㢌GG䇸㉥⪔SGȼG⏈GḔⱨ㢌G㚉㻉᷸㍌SGšG⏈G䝉ㇵ㢬㣄 Ozˆ—ŒGˆŠ›–™PSG‹G⏈G㐐⨀㢌G㫵ᷱSG“G㡴G㐐⨀㢌GὬ㢨 㢨␘U

mŽUG\⏈G⸬G⊰ⱬ㜄㉐G␘⨜Ḕ㣄G䚌⏈G䚨㍌ⵤḴG⫼㟨 䏬GⵃG䆨⣜䘸㢨⮤GmŽUG]OˆP⏈Gὤ㦨㜄G㇠㟝䚌ḔG㢼⏈G ⵤḴ㢌GḔⱨG⫼㟨䏬G䝉ㇵ㢨␘UG

ὤ㦨G⫼㟨䏬㢌Gᷱ㟤G㠄䋩㢌G⇨ᷱG⮨㢨G䑀㢨䘸㝴G㥅 㸽╌ḔG㞬ᷱG⮨㢨G䆨⣜䘸㝴G㥅㸽╌ὤG⚀ⱬ㜄G⫼㟨䏬 㢌G⺴䖶㢨G䛼㟝╌⏈G⮨㤵㡴G▄‌Gⵝ䛙G⮨㤵㡰⦐G⬘

㟤G㤵㡰⮤SG㐑OYP㢌G䝉ㇵ㢬㣄ᴴG䀘㥬Gᶽ⸨ὤG䇸㉥᷸

㍌⏈G㐘㥐G㣠⨀㢌G䇸㉥⪔㜄G⽸䚨G⬘㟤G䀘㫸␘UG♤⢰

㉐G ⫼㟨䏬㢌G ᶽ⸨ὤG 䇸㉥⪔㡸G 㣅᷀G 䚌ὤG 㠸䚨㉐⏈G 䣌㡸G ⵏ⏈G ⮨㤵㡴G 㨸㢨ḔG ⺴䖶㢨G 䛼㟝╌⏈G ⮨㤵㡸G 䇘㟬G䙸㟈ᴴG㢼␘UG㢨⪰G㠸䚨GḔⱨG⫼㟨䏬㜄G㏠⦣G䝉 ㇵ㡸G㻈ᴴ䚌㜠GmŽUG]O‰P¥OŒP㝴Gᵍ㢨GⵤḴG⫼㟨䏬⪰G 㜠⤠Gᴴ㫴G䝉ㇵ㡰⦐G⯜⒬⫵G䚌㜴␘UG

Pipe

Mount

Clamp

mŽUG \G {ŒG ”–œ•›G ˆ•‹G Š“ˆ”—G –G ›ŒG šŒˆTžˆ›Œ™G

Š–•Œ •ŽG——Œ

OˆPG j–•Œ•›–•ˆ“

O‰PG jˆšŒG XG G G G G G G G G G G G G G OŠPG jˆšŒG Y

O‹PG jˆšŒG ZG G G G G G G G G G G G G G OŒPG jˆšŒG [

mŽUG ]G t–‹Šˆ›–•G –G ›ŒG šˆ—ŒG –™G ›ŒG ™œ‰‰Œ™G

”–œ•›

0 0.5 1 1.5 2 2.5 3 3.5 4

Conventional Case 1 Case 2 Case 3 Case 4

Young's modules[MPa]

Young's modules of the material Apparent modules of elasticity

mŽUG ^G €–œ•ŽNšG ”–‹œ“ŒšG –G ›ŒG ”ˆ›Œ™ˆ“G ˆ•‹G ›šG

ˆ——ˆ™Œ•›G”–‹œ“ŒšG–G›ŒGŒ“ˆš›Š› G

mŽUG^㡴GᴵG䝉ㇵ㜄G␴䚐G䝉ㇵ㢬㣄㝴G㢨㜄G♤⪬Gᶽ⸨

ὤG 䇸㉥⪔㡸G 㐑OXP¥OYP⪰G 䋩䚌㜠G ᷸㇤䚐G ᷤḰ㢨␘UG

᷸㇤㡸G 䋩䚨G ⫼㟨䏬㜄G ㏠⦣㡸G 㻈ᴴ䚌㜠G 䣌㡸G ⵏ⏈G

⮨㤵㡴G㨸㢨ḔG⺴䖶㢨G䛼㟝╌⏈G⮨㤵㡸G⏌⥬㡸Gᷱ㟤G

┍㢰䚐GḔⱨG㣠㫼㜄G␴䚨Gᶽ⸨ὤG䇸㉥⪔㢨Gὤ㦨G␴

⽸G㚱GYU\¥ZU\ⵤG㣅㙸㬄㡸G㚀G㍌G㢼㛼␘UG♤⢰㉐G㢨

⤠䚐G㏠⦣G㻈ᴴ⦐G㢬䚨G⫼㟨䏬㢌Gᵉ㉥G㤴ᵄGⵃG㫸┍G 㤸␠⪔G㤴ᵄ㢨Gᴴ⏙䚔Gᶷ㡰⦐G⸨ḔG㢨㜄G␴䚐G⺸㉑ 㡸G䚨㉑㤵SG㐘䜌㤵㡰⦐G㍌䚽䚌㜴␘UGGG

ZUYG ㍌㾌䚨㉑

⫼㟨䏬G 䝉ㇵ㜄G ♤⪬G ┍㤵G ᵉ㉥G ⷴ䞈⪰G ⸨ὤG 㠸 䚨㉐G mŽUG _ḰG ᵍ㢨G 㡔䚐㟈㋀G ⯜⒬㡸G ⬀☘ḔG ␜㠸G 㢹⥙G 䚌㩅㜄G ␴䚐G ⷴ㠸G ⵃG ᴴ㋁⓸㢌G 㨰䑀㍌G 㢅␩G 䚜㍌⪰G ⫼㟨䏬G 䝉ㇵⷸ⦐G 䚨㉑䚌㜴␘UG 㢰ⵌ㤵㡰⦐G Ḕⱨ⏈G ⽸㉔䝉G 㟈㋀㢨㫴⬀G 㣅㡴G ⷴ䝉G ⇨㜄㉐⏈G 㢨

⪰G ㉔䝉㡰⦐G ⸰G ㍌G 㢼␘UG ♤⢰㉐G ⸬G 㤼㜄㉐㢌G ㍌ 㾌䚨㉑㡴G Ḕⱨ⪰G ㉔䝉㡰⦐G ᴴ㥉䚌㜠G ㍌䚽䚌㜴␘U

(5)

⫼㟨䏬G 䝉ㇵ㜄G ♤⪬G ㉔ⵉ㟝G 䚨㍌G 㢨㋕G ⵤḴ㢌G 㫸┍G 㤸␠⪔G ᵄ㋀

]`Y

mŽUG _G mltG ”–‹Œ“G –™G ›ŒG ™œ‰‰Œ™G ”–œ•›

{ˆ‰“ŒG XG tˆ›Œ™ˆ“G —™–—Œ™›ŒšG –G ›ŒG ™œ‰‰Œ™G ”–œ•›

p›Œ”š }ˆ“œŒ

tˆ›Œ™ˆ“ jyOuŒ–—™Œ•ŒPG[\

€–œ•ŽNšG”–‹œ“œš‚t—ˆ„ XUW

w–šš–•G™ˆ›– WU[

kˆ”—•ŽG™ˆ›– WUX

䚨㉑㡴G ⺴㇤␴䚍Ẅ㜄㉐G ⸨㡔䚌ḔG 㢼⏈G tzjUuˆš›™ˆ•㡸G ᴴ㫴ḔG ㍌䚽䚌㜴␘UG ␜㠸䚌㩅㡴G ⵤḴḰG 㥅㸽╌⏈G ⮨㢌G ⊬☐⪰G ⵤḴG 㩅㐠㥄G ⊬☐㜄G twjOtœ“›T—–•›G Š–•š›™ˆ•›PG 㟈㋀⪰G ㇠㟝䚌㜠G 㜤

ᷤ䚐G 䟸G ⵤḴG 㩅㐠㥄㜄G ㍌㫵ⵝ䛙㡰⦐G ᴴ䚌㜴㡰⮤G ⵤḴG 䆨⣜䘸Oj“ˆ”—P㝴G 㥅㸽╌⏈G ⮨㡴G 㝸㤸G Ạ㋁

㐐䁤␘UG ❄䚐G ⵤḴG 㩅㐠㥄㜄⏈G 㬅㩅㫼⣽Osœ”—Œ‹G

”ˆššPG 㟈㋀⪰G ⬀☘ḔG XW’ŽG 㫼⣽㡸G 㨰㛼㡰⮤G ḔⱨG 㣠⨀㜄G ␴䚐G Ɒ㉥㾌⏈G {ˆ‰“ŒG XḰG ᵍ␘U

mŽUG `⏈G 䚨㉑G ᷤḰG ⫼㟨䏬G 䝉ㇵⷸG 㨰䑀㍌G 㢅␩G 䏭㉥㢨␘UG mŽUG `㜄㉐G j–•Œ•›–•ˆ“㡴G 䆨⣜䚅 Oj“ˆ”—•ŽP㜄G 㢌䚐G 㚉㻉G ⷴ䝉㡸G Ḕ⥘䚌ḔG jyG OuŒ–—™Œ•ŒPG ]\㢌G Ḕⱨ㣠㫼㡸G 㤵㟝䚌㜴㡸G ⚀G 㺐㸼G ὤ㦨G ⫼㟨䏬G 䝉ㇵ㜄G ␴䚐G ⷴ㠸G ⵃG ᴴ㋁⓸㢌G 㤸␠

䚜㍌㢨⮤SG j–•Œ•›–•ˆ“T”—™–Œ‹⏈G ὤ㦨G ⫼㟨䏬G 䝉ㇵ㜄G ␴䚨G 䆨⣜䚅㜄G 㢌䚐G ⷴ䝉㡸G 㥐ᶤ䚌ḔG jyG [\㢌G ḔⱨG 㣠㫼㡸G 㤵㟝䚌㜴㡸G ⚀㜄G ␴䚐G ⷴ㠸G ⵃG ᴴ㋁⓸㢌G 㤸␠䚜㍌㢨␘UG mŽUG `㝴G ᵍ㢨G 䚨㉑G ᷤḰG

㏠⦣㡸G 㻈ᴴ䚌㜠G 㣄㡔G ⷴ䝉G ⮨㤵㡸G 㫑ᴴ㐐䇘ḔG 䣌 㡸G ⵏ⏈G ⮨㤵㡸G 㨸㜴㡸G ᷱ㟤G ᵉ㉥G 㤴ᵄ㡰⦐G 㢬䚨G 㨰䑀㍌G 㢅␩G 䚜㍌ᴴG 㤴㨰䑀G 㯱㡰⦐G 㢨┍䚜㡸G 㚀G

㍌G 㢼㛼␘UG 㢰ⵌ㤵㡰⦐G 㫸┍G 㤸␠⪔㡴G XG 㣄㡔⓸G

⯜⒬㜄G ␴䚨G 㐑OZPḰG ᵍ㢨G ⇌䇴⇰G ㍌G 㢼㡰⮤SG 㢨⪰G 䋩䚨G 䚨㉑G ᷤḰG ⫼㟨䏬G 䝉ㇵG ⷴᷱ㡰⦐G 㢬䚐G Ḕ㡔G 㨰䑀㍌G 㤴ᵄ㢨G 㫸┍G 㤸␠⪔㡸G 㣅᷀G 䚔G ㍌G 㢼㢀㡸G 㜼㽕䚔G ㍌G 㢼␘UG

­á ćŸ×

Ÿ­

á ćãÎ à ÞŎîŎƌßÏä â ãÏļÞŎîŎƌßäÏ

öćÎ â ãÏļÞŎîŎƌßäÏ

G G G G OZP

㜠ὤ㉐G T ⏈G 㫸┍G 㤸␠⪔O{™ˆ•š”šš‰“› PSG FT ⏈G 㤸␠⥙SG F0⏈G ᴴ㫸⥙SG쩘G⏈G 㨰䑀㍌O™ˆ‹ˆ•PSG•G㡴G Ḕ㡔㨰䑀㍌SG쩅G⏈G ᵄ㌔᷸㍌㢨␘UG

䏭䢼G jˆšŒG Z㢌G ᷱ㟤ᴴG ᴴ㣙G 䟜Ḱ㤵㢸㡸G 㚀G ㍌G 㢼 㛼⏈⒤S 㢨⏈G 㚒㉐G mŽUG ^㜄㉐⓸G 㜼㽕䚌㜴☣㢨G jˆšŒG Z㢌G 䝉ㇵ㢨G 䣌㡸G ⵏ⏈G ⮨㤵㢨G ᴴ㣙G 㣅ḔG ⷴ 䝉䚔G ㍌G 㢼⏈G ⮨㤵㢨G ᴴ㣙G 䆠ὤG ⚀ⱬ㜄SG 㪽G 䝉ㇵ

᷸㍌ᴴG ᴴ㣙G 㣅ὤG ⚀ⱬ㢨␘U

0.001 0.01 0.1 1

10 30 50 70 90

Frequency [Hz]

X/F [Compliance]

Conventional Conventional-improved Case 1

Case 2 Case 3 Case 4

OˆPG yŒŠŒ—›ˆ•ŠŒ

0.01 0.1 1 10

10 30 50 70 90

Frequency [Hz]

a/F [Accelerance]

Conventional Conventional-improved

Case 1 Case 2

Case 3 Case 4

O‰PG hŠŠŒ“Œ™ˆ•ŠŒ

mŽUG `G m™Œ˜œŒ•Š G ™Œš—–•šŒG œ•Š›–•G –G ›ŒG

”–œ•›G ˆŠŠ–™‹•ŽG ›–G ›ŒG ˆ™–œšG šˆ—ŒG –G

›ŒG ”–œ•›

(6)

䚐䝉㉑SG 㥉㢌⸽SG 㵜㜵㨰 ]`Z [UG 㐘䜌㤵G ᶴ㫑

Z㤼㢌G ᷤḰ⦐⺴䉤G ᴴ㣙G 䟜Ḱ㤵㢨⢰ḔG 㜼ㇵ╌⏈G jˆšŒG Z㢌G ⫼㟨䏬G 䝉ㇵ㜄G ␴䚨㉐G ㈌䙀㡸G 㥐㣅䚌ḔG 㢨⪰G ⵤḴ㜄G 㤵㟝䚌㜠G 㫸┍㤼㜤G 䟜Ḱ⪰G ὤ㦨G ⫼㟨 䏬G 䝉ㇵḰG ᵍ㢨G ⽸Ẅ䚨G ⸨㚌␘U

[UXG 㐘䜌㉿㛹OzŒ›œ—P

Z㤼㢌G 䚨㉑G ᷤḰ⪰G ᶴ㫑䚌ὤG 㠸䚨㉐G ⵤḴG ⫼㟨 䏬G 䓽ᴴG 㫴ἬOqŽP⪰G ⬀☘ḔG ⯜␠Ot–‹ˆ“PG 㐐䜌㡸G

㍌䚽䚌㜴␘UG 㐐䜌㡴G mŽUG XWḰG ᵍ㢨G ⵤḴG 㫴Ἤ㢌G 㹑G _㥄㜄G 㢸䑝䏬G 䚨⭬Op”—ˆŠ›G oˆ””Œ™P⪰G ㇠㟝䚌 㜠G ᴴ㫸䚌ḔG 䆨⣜䘸G ㇵ␜G ⵃG 䚌␜㜄㉐G ᴴ㋁⓸⪰G 㽕㥉䚌⏈G ⵝ㐑㡰⦐G ㍌䚽䚌㜴␘UG 㜠ὤ㉐G 㢸䑝䏬G 䚨

⭬⏈G wjiG { —ŒG ]YWWz㡸G ㇠㟝䚌㜴ḔSG ᴴ㋁⓸᷸⏈G k ›™ˆ•G { —ŒG ZX[_k㡸G ㇠㟝䚌㜴㡰⮤G iMr㇠㢌G wœ“šŒGZ\]Wj⪰G䋩䚌㜠G⒤㢨䉤⪰G㍌㬅䚌㜴␘UG㐐䜌 㜄㉐㢌G 㨰䑀㍌G ⷈ㠸⏈G XWo¡¥ZUX\’o¡ᾀ㫴⦐G ㉘㥉 䚌㜴␘U

[UYG 㐘䜌ᷤḰ

mŽUG XX㡴G 㐘䜌G ᷤḰG _㥄G ᴴ㫸㜄G ␴䚐G 㨰䑀㍌G 㢅 ␩ 䚜 ㍌ ☘ 㢌 G ⦐ Ἤ G 䓽 ἔ 㢨 ␘ U G 㜠 ὤ ㉐G j–•Œ•›–•ˆ“㡴G 䆨⣜䚅㜄G 㢌䚐G 㚉㻉G ⷴ䝉㡸G Ḕ⥘

䚌ḔG jyG ]\㢌G Ḕⱨ㣠㫼㡸G 㤵㟝䚼㡸G ⚀G 㺐㸼G ὤ㦨G

⫼㟨䏬G 䝉ㇵ㜄G ␴䚐G ᴴ㋁⓸㢌G 㨰䑀㍌G 㢅␩G 䚜㍌

mŽUG XWG zŠŒ”ˆ›ŠG ‹ˆŽ™ˆ”G –G ›ŒG ›Œš›G šŒ›œ—

OhŠŠŒ“Œ™ˆ•ŠŒP㢨ḔSG j–•Œ•›–•ˆ“TG ”—™–Œ‹⏈G ὤ㦨G ⫼㟨䏬G 䝉ㇵ㜄G ␴䚨G 䆨⣜䚅㜄G 㢌䚐G ⷴ䝉㡸G 㥐ᶤ䚌ḔG jyG [\㢌G Ḕⱨ㣠㫼㡸G 㤵㟝䚐G ᷱ㟤G ᴴ㋁

⓸㢌G 㨰䑀㍌G 㢅␩G 䚜㍌㢨⮤SG w™–—–šŒ‹⏈G Z㤼㢌G jˆšŒG ZG 䝉ㇵ㜄G 䆨⣜䚅㜄G 㢌䚐G ⷴ䝉㡸G 㥐ᶤ䚌ḔG jyG [\㢌G Ḕⱨ㣠㫼㡸G 㤵㟝䚐G ᷱ㟤G ᴴ㋁⓸㢌G 㨰䑀

㍌G 㢅␩G 䚜㍌㢨␘U

mŽUG XXG ⦐⺴䉤G ⫼㟨䏬㢌G 䝉ㇵG ⷴᷱ㡰⦐G 㢬䚨G 㤸G 㨰䑀㍌G 㜵㜡㜄㉐G 㨰䑀㍌G 㢅␩G 䚜㍌㢌G ⤼ⷜ㢨G 㣅㙸㬄㡸G 䞉㢬䚔G ㍌G 㢼㛼㡰⮤G 㐘䜌G ᷤḰ⪰G 䋩䚨G

⫼㟨䏬G 䝉ㇵG ⷴᷱ㜄G ␴䚐G 㫸┍G 㤸␠⪔G ᵄ㋀㢌G 䚨

㉑㤵G 㜼㽕㡸G ᶴ㫑䚔G ㍌G 㢼㛼␘U

-70 -50 -30 -10 10 30

10 100 1000 10000

Frequency[Hz]

Accelerance[dB, m/s

2

N]

Conventional Conventional-improved Proposed

OˆPG |——Œ™G š‹ŒG –G ›ŒG Š“ˆ”—G G

-70 -50 -30 -10 10 30

10 100 1000 10000

Frequency[Hz]

Accelerance [dB , m/s

2

N ]

Conventional Conventional-improved Proposed

G O‰PG i–››–”G š‹ŒG –G ›ŒG Š“ˆ”—G

mŽUG XXG XVZG –Š›ˆŒG š—ŒŠ›™œ”G –G ›ŒG

ˆŠŠŒ“Œ™ˆ•ŠŒG ”Œˆšœ™Œ‹G ‰ G ›ŒG ŒŸ—Œ™”Œ•›G

(7)

⫼㟨䏬G 䝉ㇵ㜄G ♤⪬G ㉔ⵉ㟝G 䚨㍌G 㢨㋕G ⵤḴ㢌G 㫸┍G 㤸␠⪔G ᵄ㋀

]`[

㜠ὤ㉐G 㐘䜌G ⵃG 䚨㉑G ᷤḰ⏈G 㢸䑝䏬G ᴴ㫸⥙㡸G ᴴ 㫴ḔG 䚨㍌G ⵤḴ㢌G 㫸┍G 㤸␠⪔㡸G 䓽ᴴ䚐G ᶷ㢨␘UG 㢨G 䓽ᴴG ⵝⷉ㡴G 㐘㥐⦐G 䚨㍌ᴴG 䢄⪨⏈G 㦤ᶨ㜄㉐㢌G 䓽ᴴG ⵝⷉḰG 㢹⥙G 㦤ᶨG ⵃG ᷸ᷱ㦤ᶨ㢨G ␘⪨␘UG 䚌 㫴⬀SG 䚨㍌G ⵤḴ㢌G Ḕ㨰䑀G 㫸┍㢌G ᷱ㟤G 㨰⦐G ḩ┍

䜸ㇵOjˆ›ˆ›–•P㜄G 㢌䚨G ⵐ㈑䚌⮤G ἬG 㨰䑀㍌G ⷈ㠸 ᴴG ṅ␴㜡Oi™–ˆ‹‰ˆ•‹P㡰⦐G ⵥㇽG 㣕㢀ḰG ᵍ㡴G 䏭

㉥㡸G ᴴ㫴ὤG ⚀ⱬ㜄G 㢸䑝䏬G ᴴ㫸㜄G 㢌䚨G ⵤḴ㢌G 㫸┍G 㤼㜤G ㉥⏙㡸G 䓽ᴴ䚌⏈⒤G 䆤G ⱨ⫠ᴴG 㛺␘ḔG 䑄␜═␘UG ❄䚐G ⵤḴG ⇨㜄G 䚨㍌ᴴG 䢄⪰G ᷱ㟤G 䚨㍌

㜄G 㢌䚐G ⺴ᴴ㫼⣽㢌G 㜵䛙ḰG ⵤḴG ⇨⺴G 㚉⥙㜄G 㢌 䚐G ᵉ㉥G 㤴䚌㜄G 㢌䚨G ⵤḴ㢌G Ḕ㡔G 㫸┍㍌ᴴG ␠⢰

㫴ὨG 䚌㫴⬀SG ⸬G ⊰ⱬ㢌G 㟈㥄㡴G ⵤḴ㢨G 㙸⏼⢰G ⫼ 㟨䏬㢨ὤG ⚀ⱬ㜄G 㢨⤠䚐G 㜵䛙㡸G ⱨ㐐䚌⒈⢰⓸G 䆤G ⱨ⫠ᴴG 㛺␘ḔG 䑄␜═␘UG G

\UG ᷤG ⦔

䚨㍌G ⵤḴG ⫼㟨䏬㢌G 䝉ㇵG ⷴᷱ㜄G ␴䚨㉐G 㨰䑀㍌G 㢅␩G 䚜㍌⪰G ᴴ㫴ḔG ⵤḴ㟝G ḔⱨG ⫼㟨䏬㢌G 㫸┍G 㤸␠⪔G 䓽ᴴ⪰G 䚨㉑㤵㡰⦐G ㍌䚽䚐G ᷤḰSG Ḕⱨ⫼㟨 䏬G 䖐⮨㜄G ㏠⦣㡸G 㻈ᴴ䚌㜠G 䝉ㇵ㢬㣄⪰G 㨸㢸㡰⦐

㒜G ḔⱨG ⫼㟨䏬㢌G 㫸┍G 㤼㜤G ⏙⥙㢨G 㻈ᴴ㤵㡰⦐G 䛙ㇵ╜㡸G 㜼㽕䚔G ㍌G 㢼㛼␘UG ❄䚐G ⵤḴG 㫴Ἤ⪰G 㥐 㣅䚌ḔG ⯜␠G 㐐䜌㡸G 䋩䚨G 㨰䑀㍌G 㢅␩䚜㍌⪰G 㽕㥉 䚐G ᷤḰSG 䚨㉑㜄㉐G 㜼㽕䚐ⵈ㝴G ᵍ㢨G ⫼㟨䏬㢌G 䝉 ㇵG ⷴᷱ㡸G 䋩䚨G ḔⱨG ⫼㟨䏬㢌G 㫸┍G 㤼㜤G 䏭㉥㢨G 㻈ᴴ㤵㡰⦐G 䛙ㇵ╜㡸G 㜼㽕䚔G ㍌G 㢼㛼␘UG ⸬G 㜤Ạ 㜄㉐⏈G 㐘㥐G ㉔ⵉ㜄G 㤵㟝䚐G ㇵ䈐㜄㉐㢌G 㫸┍G 㤼㜤G

⏙⥙㡸G 䓽ᴴ䚨G ⸨㫴G 㙾㚌ὤG ⚀ⱬ㜄G 㻈䟸G ㉔ⵉG 㤵 㟝G 䟸G 㢨㜄G ␴䚐G 㣠ᶴ㫑㢨G 䙸㟈䚔G ᶷ㡰⦐G ㇠⨀═

␘UG ⸬G ⊰ⱬ㢌G ᷤḰ⦐⺴䉤G 䚨㍌G ⵤḴG ⫼㟨䏬㢌G 㫸

┍G 㤸␠⪔G 䛙ㇵ㡰⦐G 㢬䚨G ⵤḴ㜄G 㢌䚐G ㋀㢀G 㤴ᵄ 㢨G ὤ␴═␘UG

㵬G G ḔG G ⱬG G 䜀

ˍG h•‹™ŒžGjUSGX```SGh•Gp•›™–‹œŠ›–•G›–G y œ ‰ ‰ Œ ™G {ŒŠ•–“–Ž SGyˆ—™ˆG{ŒŠ•–“–Ž Gs{kU

ˍG jœ•ŽSG qUoUSG r”SG iUoUSG ržˆ’SG qUzUSG qŒ–•ŽSG qUhUG

ˆ•‹G sŒŒSG oU€USG YWW[SG Ih•G lŸ—Œ™”Œ•›ˆ“G z›œ‹ G –•G

›ŒG jˆ™ˆŠ›Œ™š›ŠšG –G yœ‰‰Œ™G t–œ•›šG –™G uˆˆ“G z—‰–ˆ™‹Gh——“Šˆ›–•SIGw™–ŠŒŒ‹•ŽG–G›ŒGh••œˆ“G z—™•ŽGtŒŒ›•ŽSGzuhrSG——UG[WYT[W`U

ˍG kŒ—ˆ™›”Œ•›G –G kŒ™•šŒSG X`_]SG tpsTzT^WTYaG z›™œŠ›œ™ŒG i–™•ŒG }‰™ˆ›–™ G hŠŠŒ“Œ™ˆ›–•GGGG tŒˆšœ™Œ”Œ•›šG ˆ•‹G hŠŠŒ—›ˆ•ŠŒG j™›Œ™ˆG –G z—‰–ˆ™‹Gl˜œ—”Œ•›SG|zhU

ˍG oˆ•SG oUzUSG qŒ–•ŽSG ~UiUSG wˆ™’SG rUoUG ˆ•‹G o–•ŽSG jUzUSG YWW_SG Ih•ˆ“ ššG –™G yŒ‹œŠ•ŽG }‰™ˆ›–•G {™ˆ•𔐛›Œ‹G ™–”G ›ŒG zŒˆTžˆ›Œ™G j–•Œ •ŽG w—ŒG

›–G ›ŒG oœ““SIG rzu}lSG }–“UG X_SG u–UG XXSG ——UG XX^^TXX_[U

ˍG r”SG~UkUGˆ•‹Gr”SG~UzUSGYWWZSGIl𛐔ˆ›–•Gˆ•‹G lˆ“œˆ›–•G –G ›ŒG tŒŠˆ•Šˆ“G w™–—Œ™› G –™G }‰™ˆ›–•G pš–“ˆ›•ŽG yœ‰‰Œ™G tˆ›Œ™ˆ“SIG rzu}lSG }–“UG XZSGu–UG\SG——UGZX`TZY\UG

ˍG r–™Œˆ•G z›ˆ•‹ˆ™‹šG hšš–Šˆ›–•SG YWW]SG G G rzTtT]]W[aG {Œš›•ŽG tŒ›–‹G –™G yœ‰‰Œ™G }‰™ˆ›–•G pš–“ˆ›–™SG r–™ŒˆU

ˍG sŒŒSGnUzUSGsŒŒSGzU€UGˆ•‹Gy œSGjUoUSGX``WSGI{Œš›G

ˆ•‹G h•ˆ“ ššG –™G k •ˆ”ŠG w™–—Œ™›ŒšG –G yœ‰‰Œ™G tˆ›Œ™ˆ“šG –™G }‰™ˆ›–•G pš–“ˆ›–•G OXPSIG rzu}lG hœ›œ”•Gj–•Œ™Œ•ŠŒSG——UGY^TZYU

ˍG t––•SG zUqUSG qSG €UqUSG €––•SG qSzUSG j–SG zUiUSG sŒŒSG oU€USG r”SG qUoUG ˆ•‹G qœ•ŽSG ~UqUSG YWW_SG IhG z›œ‹ G –•G kŒŒ“–—”Œ•›G –G ˆ•G hŠ›ŒG o ‰™‹G t–œ•›G –™G uˆˆ“G z—šSIG q–œ™•ˆ“G –G ›ŒG z–АŒ› G

–G uˆˆ“G h™Š›ŒŠ›šG –G r–™ŒˆSG }–“UG [\SG u–UG ZSG

——UG Y__TY`\U

ˍG u–SG pUzUSG r”SG qUtUG ˆ•‹G ržˆ’SG qUzUSG YWW_SG G Iu–•T“•Œˆ™G sˆ™ŽŒG kŒ–™”ˆ›–•G h•ˆ“ ššG –G l“ˆš›ŠG yœ‰‰Œ™G t–œ•›SIG q–œ™•ˆ“G –G ›ŒG z–АŒ› G

–G uˆˆ“G h™Š›ŒŠ›šG –G r–™ŒˆSG }–“UG [\SG u–UG YSG

——UG X_]TX`XU

GG

cG 䚐G 䝉G ㉑G e GG

cG 㥉G 㢌G ⸽G e GG

cG 㵜G 㜵G 㨰G e

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