G 䚐G 㦤G ㉔G 䚍G 䟀G ⊰G ⱬG 㬅G G G G G G G G G G G G G G G G G G G G G G qG G G z G G uG hG G r
㥐[\ỀG 㥐]䝬G YWW_≸G XY㠈G G G G G G G G G G G G G G G G G G G G G G G G }UG [\SG uUG ]SG UG ]__T]`[SG kG YWW_
kvpaG XWUZ^[[VzuhrUYWW_U[\U]U]__
⫼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㋀
䚐 䝉 ㉑QSG㥉 㢌 ⸽QQSG㵜 㜵 㨰Q
ạⵝὤ㍔䖼㫼㠄G 䚜㥉㉰䉤Q
⺴䚍ẄG ὤ᷸ḩ䚍⺴QQ
yG G G }G { G G G zT~G j G wG G
G zG hG G G tG z
o G zG oQSG ~GiGqQQGGGqGjQ
uGzGz GjSGkGh GG{ GGx
QkGGtGlSGwGuG|
QQh
{G G G G TG G G G G G G G G G G
G G UG {G G G G G G G G G G G G UG {G
G G G TG G G G G G G G G G G G
G UG {SG G G G G G G G G
G G G G UG {G G G G G G G G
G G G UG
r aG zTG G O䚨㍌㢨㋕ⵤḴPSG yG OḔⱨG ⫼㟨䏬PSG m G
G O㨰䑀㍌G 㢅G 䚜㍌PSG { 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 ㋀
㏘OzP⦐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 gUUSG 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 OzG G P㡸G ἐ㥐䚨㚰⬀G 䚐␘UG 㐘㥐
⦐G G 䚨Ấ㜄㉐⏈G tpsTzT^[WTYOkkG X`_]P⪰G ᴴ㫴ḔG ⵤḴ㡸G 䔠䚜䚐G ⽀⪌㢌G Ạ㦤ὤ㢬G ㋀㢀㡸G Ḵ⫠䚌ḔG 㢼␘UG
Ạ㦤G 㫸┍㜄G 㢌䚐G ㋀㢀㡸G 㨸㢨⏈G ⵝⷉ㡰⦐⏈G 㫸┍G
䚐䝉㉑SG 㥉㢌⸽SG 㵜㜵㨰 ]_`
㠄OzPG 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⮤
OjG G UG YWW[SG sG G UG X``WSG tG G
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␘OrG G rG YWWZSG uG G 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^ZVSG 㚉⥙㡴G _UW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 ㇠㢌G { G Y`^^G ᴴ㋁⓸᷸㝴G iMr㇠㢌G wG 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¥XWo¡G ᾀ 㫴G XVZG 㝙䇴⽀OvP⦐G 㽕㥉䚌㜴␘UG
mUG 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
mUG XG wG G G G 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)
mUG YG XVZG G G G G
G G G G G G
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 mUG Y⏈G 㽕㥉G ᷤḰG XVZG 㝙䇴⽀G ㏘䓍䏬⤰㢨␘UG mUG 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
mUG 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
⫼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 mUG 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 mUG [⏈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 U G Z S G [㜄㉐㝴G ᵍ㢨G ⵤḴG 㫸┍㢌G ᷱ㟤G tpsTzT^[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
mUG ZG XVZG TG G G G
G G G G G G G
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)
mUG [G XVZG G G G G G
G G G G G G
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ẠOoG G 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⮹═␘OhG 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
㉥⪔OhG G G 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OzG
P㜄G ♤⢰G ␠⢰㬄㡸G 㚀G ㍌G 㢼␘U ) (
1 ȕ s
2E
E
OXPl
4 dl d 4 ʌ d s ʌ
2
) /(
)
( OYP
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SGG⏈G䝉ㇵ㢬㣄 OzGPSGG⏈G㐐⨀㢌G㫵ᷱSGG㡴G㐐⨀㢌GὬ㢨 㢨␘U
mUG\⏈G⸬G⊰ⱬ㜄㉐G␘⨜Ḕ㣄G䚌⏈G䚨㍌ⵤḴG⫼㟨 䏬GⵃG䆨⣜䘸㢨⮤GmUG]OP⏈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GmUG]OP¥OP㝴Gᵍ㢨GⵤḴG⫼㟨䏬⪰G 㜠⤠Gᴴ㫴G䝉ㇵ㡰⦐G⯜⒬⫵G䚌㜴␘UG
Pipe
Mount
Clamp
mUG \G {G G G G G G TG
G
OPG j
OPG jG XG G G G G G G G G G G G G G OPG jG Y
OPG jG ZG G G G G G G G G G G G G G OPG jG [
mUG ]G tG G G G G G G
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
mUG ^G NG G G G G G G
GGGG G
mUG^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 mUG _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
⫼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
mUG _G mltG G G G G
{G XG tG G G G G
p }
t jyOuPG[\
NGt XUW
wG WU[
kG WUX
䚨㉑㡴G ⺴䚍Ẅ㜄㉐G ⸨㡔䚌ḔG 㢼⏈G tzjUu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 twjOtTG 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OjP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⣽OsG
PG 㟈㋀⪰G ⬀☘ḔG XWG 㫼⣽㡸G 㨰㛼㡰⮤G ḔⱨG 㣠⨀㜄G 䚐G Ɒ㉥㾌⏈G {G XḰG ᵍ␘U
mUG `⏈G 䚨㉑G ᷤḰG ⫼㟨䏬G 䝉ㇵⷸG 㨰䑀㍌G 㢅G 䏭㉥㢨␘UG mUG `㜄㉐G j㡴G 䆨⣜䚅 OjP㜄G 㢌䚐G 㚉㻉G ⷴ䝉㡸G Ḕ⥘䚌ḔG jyG OuPG ]\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 jT⏈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 mUG `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 ć×
á ćãÎ à ÞŎîŎƌßÏä â ãÏļÞŎîŎƌßäÏ
öćÎ â ãÏļÞŎîŎƌßäÏ
G G G G OZP
㜠ὤ㉐G T ⏈G 㫸┍G 㤸␠⪔O{ PSG FT ⏈G 㤸␠⥙SG F0⏈G ᴴ㫸⥙SG쩘G⏈G 㨰䑀㍌OPSG쩘G㡴G Ḕ㡔㨰䑀㍌SG쩅G⏈G ᵄ㌔᷸㍌㢨␘UG
䏭䢼G jG 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 mUG ^㜄㉐⓸G 㜼㽕䚌㜴☣㢨G jG 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
OPG y
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
OPG h
mUG `G m G G G G G
G G G G G G G
G
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 jG 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OzP
Z㤼㢌G 䚨㉑G ᷤḰ⪰G ᶴ㫑䚌ὤG 㠸䚨㉐G ⵤḴG ⫼㟨 䏬G 䓽ᴴG 㫴ἬOqP⪰G ⬀☘ḔG ⯜␠OtPG 㐐䜌㡸G
㍌䚽䚌㜴␘UG 㐐䜌㡴G mUG XWḰG ᵍ㢨G ⵤḴG 㫴Ἤ㢌G 㹑G _㥄㜄G 㢸䑝䏬G 䚨⭬OpG oP⪰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 { G ]YWWz㡸G ㇠㟝䚌㜴ḔSG ᴴ㋁⓸᷸⏈G k G { G ZX[_k㡸G ㇠㟝䚌㜴㡰⮤G iMr㇠㢌G wGZ\]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
mUG 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
mUG XWG zG G G G G
OhP㢨ḔSG jTG ⏈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⏈G Z㤼㢌G jG 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
mUG 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
2N]
Conventional Conventional-improved Proposed
OPG |G G G G G G
-70 -50 -30 -10 10 30
10 100 1000 10000
Frequency[Hz]
Accelerance [dB , m/s
2N ]
Conventional Conventional-improved Proposed
G OPG iG G G G G
mUG XXG XVZG G G G G
G G G G G
⫼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OjP㜄G 㢌䚨G ⵐ㈑䚌⮤G ἬG 㨰䑀㍌G ⷈ㠸 ᴴG ṅ㜡OiP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
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ˍG jSG qUoUSG rSG iUoUSG rSG qUzUSG qSG qUhUG
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ˍG kG G kSG X`_]SG tpsTzT^WTYaG zG iG } G hGGGG tG G hG jG G zGlSG|zhU
ˍG oSG oUzUSG qSG ~UiUSG wSG rUoUG G oSG jUzUSG YWW_SG Ih G G yG }G {G G G zTG j G wG
G G oSIG rzu}lSG }UG X_SG uUG XXSG UG XX^^TXX_[U
ˍG rSG~UkUGGrSG~UzUSGYWWZSGIlGG lG G G tG w G G }G pG yG tSIG rzu}lSG }UG XZSGuUG\SGUGZX`TZY\UG
ˍG rG zG hSG YWW]SG G G rzTtT]]W[aG {G tG G yG }G pSG rU
ˍG sSGnUzUSGsSGzUUGGy SGjUoUSGX``WSGI{G
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ˍG tSG zUqUSG qSG UqUSG SG qSzUSG jSG zUiUSG sSG oUUSG rSG qUoUG G qSG ~UqUSG YWW_SG IhG z G G kG G G hG o G tG G uG zSIG qG G G z G
G uG hG G rSG }UG [\SG uUG ZSG
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G uG hG G rSG }UG [\SG uUG YSG
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cG 㥉G 㢌G ⸽G e GG
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