GS2-6-3
LIFE2012 2012 ೥ 11 ݄ 2 ೔–4 ೔ Ѫ஌ (໊‫ݹ‬԰େֶ)‫ྗے‬ճ෮ͷఆྔతධՁΛ໨ࢦͨ͠ EMG ͷมಈௐࠪInvestigation of EMG for Quantitative Evaluation of Muscular Power Recovery˓Ӭ෌༟ඒʢௗऔେʣ ۳ాେีʢௗऔେʣ ๺ଜষʢௗऔେʣYumi NAGATOMI, Tottori University
Daisuke KUSHIDA, Tottori University
Akira KITAMURA, Tottori University
Abstract: In the rehabilitation for the motor function recovery, medical workers decide a program for rehabilitation
based on their subjectivity. The decision based on subjectivity, however, has the possibility of inviting the diﬀerent
result among other medical workers. Therefore, the quantitative evaluation of the muscular power recovery is required.
On the other hands, authors deﬁned “the muscular power coeﬃcient” as the relation of EMG (ElectoroMyoGraphy)
and muscular load. As a result, we could evaluate a muscular condition according to EMG. The change of themuscular power coeﬃcient is expected with a change of bodily features because it is known that EMG is inﬂuenced
by the balance of the muscle and fat. This paper reports investigation of a change of the muscular power coeﬃcient
based on muscle training by experimental works and suggests muscular power coeﬃcient is used as an indicator of themuscle evaluation.
Key Words: Muscle evaluation, EMG, Bodily features, Muscle training, Rehabilitation
1.

·͕͖͑‫ࡏݱ‬ɼӡಈ‫ػ‬ೳճ෮ͷͨΊͷϦϋϏϦςʔγϣϯͷ‫ݱ‬৔Ͱ͸ɼઐ໳Ո͕ࣗ਎ͷ‫ݧܦ‬΍‫ͱऀױ‬ͷձ࿩ʹ‫ے͍ͯͮج‬ঢ়ଶΛ೺Ѳ͠ɼҰਓҰਓʹదͨ͠ϦϋϏϦςʔγϣϯϓϩάϥϜΛఏҊ͍ͯ͠Δɽ͔͠͠ͳ͕ΒɼϓϩάϥϜͷߏங͸ઐ໳Ո֤ʑͷओ‫͍͍ͯͮجʹ؍‬ΔͨΊɼಉ͡‫ͯͬ͋Ͱऀױ‬΋ࢪज़ํ਑͕ҟͳΔՄೳੑ͕ࢦఠ͞Ε͓ͯΓɼఆྔత͔ͭ٬‫؍‬తͳධՁख๏͕‫ٻ‬ΊΒΕ͍ͯΔɽ·ͨɼྟচ‫ݱ‬৔Ͱ͸ɼెख‫ํࠪݕྗے‬๏ (MMT: Manual Muscle Test)(1) Λ༻͍Δ͜ͱͰ‫ے‬ঢ়ଶΛ೺Ѳ͢Δ͜ͱ͕ͳ͞Ε͍ͯΔ͕ɼ͜Ε͸ಛఆͷ‫ج‬४ʹରͯ͠෺ࣄͷળ͠ѱ͠Λ൑அ͢Δॱংई౓Λ༻͍͍ͯΔͨΊɼఆྔతͳධՁͱ͸͍͑ͳ͍ɽҰ ํ ɼஶ ऀ Β ͸ ‫ ׆ ے‬ಈ ి Ґ (EMG: ElectroMyoGraphy) (2) ͱ‫ے‬ෛՙͷؔ܎Λද‫͢ݱ‬Δ‫਺܎ྗے‬Λಋೖ͢Δ͜ͱͰɼ‫ے‬ͷঢ়ଶΛ਺஋ͱͯ͠ද͢͜ͱΛࢼΈ͍ͯͨɽ·ͨɼEMG ʹ͸‫ے‬೑ྔɾࢷ๱ྔʹӨ‫͞ڹ‬ΕΔͱ͍͏ಛ௃Λ
͍࣋ͬͯΔͨΊɼଌఆ෦ҐʹؔΘΓͷਂ͍਎ମతಛ௃ͱؔ࿈෇͚Δ͜ͱʹΑΓɼඃ‫݈͕ऀݧ‬ৗ࣌ʹൃ‫͖Ͱش‬Δͱߟ͑ΒΕΔ‫਺܎ྗے‬ͷ஋Λࣗ਎ͷ਎ମతಛ௃ͷΈΛ༻͍Δ͜ͱͰਪఆΛࢼΈ͍ͯͨ (3) ɽ͜ΕʹΑΓɼϦϋϏϦςʔγϣϯ΍‫ྗے‬τϨʔχϯάͷͨΊͷ໨ඪ஋Λઃఆ͢Δ͜ͱ͕
ՄೳͰ͋Δͱߟ͑Δɽ͔͠͠ͳ͕Βɼ‫ྗے‬ͷมԽʹ൐ͬͯ‫਺܎ྗے‬ͷ஋΋มಈ͢Δͷ͔ͱ͍͏఺ʹ͍ͭͯෆ໌ྎͰ͋ͬͨɽͦ͜Ͱຊ‫Ͱڀݚ‬͸ɼ্࿹ೋ಄‫ے‬Λର৅෦Ґͱͯ͠ඃ‫ऀݧ‬ʹ‫ྗے‬τϨʔχϯάΛ՝͠ɼ਺೔ؒ EMG σʔλͷऔಘΛߦ͍ɼಋग़ͨ͠‫਺܎ྗے‬ͷมಈΛௐࠪ͢Δɽͦͯ͠ɼʮ‫ྗے‬ͷ૿‫ʹݮ‬൐ͬͯ‫਺܎ྗے‬΋มԽ͢Δʯͱ͍͏Ծઆ͕੒Γཱ͔ͭΛ֬ೝ͠ɼ੒ΓཱͭͳΒ͹ɼ‫ے‬ঢ়ଶΛఆྔతʹධՁ͢ΔࢦඪʹͳΓ͏Δͱߟ͑Δɽ
2. EMG ͷมಈʹؔ͢ΔධՁ‫ج‬४
2-1 EMG ʹ͍ͭͯ‫׆ے‬ಈిҐ (EMG: ElectoroMyoGraphy) ͱ͸ɼ‫ے‬Λऩॖͤ͞Δࡍʹ‫ے‬ણҡʹੜ͡Δి‫ؾ‬৴߸ͷ͜ͱͰ͋Γɼ͜ΕΛଌఆ͢Δ͜ͱʹΑͬͯɼͲͷఔ౓ͷ‫ے‬ણҡΛ࢖༻ͯ͠ྗΛൃ‫͍ͯ͠ش‬Δͷ͔ͱ͍͏͜ͱΛ஌Δ͜ͱ͕Ͱ͖Δ (2) ɽEMG औಘ࣌ʹ࢖༻͢Δి‫ʹۃ‬͸ɼ਑ి‫ͱۃ‬ද໘ి‫ۃ‬ͷ2 छྨ͕͋Δɽલऀ͸ਆ‫ױ࣬ےܦ‬ͷ਍அͳͲͰ༻͍ΒΕ͓ͯΓɼ‫ࢗʹے‬ೖͯ͠࢖༻͢ΔͨΊਓମʹ৵ऻੑ͕͋Δɽ·ͨɼ‫ऀޙ‬͸εϙʔπ΍ϦϋϏϦςʔγϣϯͳͲͰ༻͍ΒΕ͓ͯΓɼൽෘද໘ʹऔΓ෇͚ͯ࢖༻͢ΔͨΊൽԼ૊৫ͷӨ‫ڹ‬Λड͚΍͍͕͢ਓମʹର͢Δ৵ऻੑ͸ͳ͍ɽຊ‫Ͱڀݚ‬͸ɼϦϋϏϦςʔγϣϯ΍‫ྗے‬τϨʔχϯά΁ͷద༻Λ໨ࢦ͍ͯ͠Δ͜ͱ͔Βɼද໘ి‫ʹۃ‬ΑΓ EMG Λऔಘ͢Δɽ
2-2 ධՁ‫ج‬४ʹ͍ͭͯຊ‫Ͱڀݚ‬͸ɼEMG ʹؔ͢Δ‫ͱ਺܎ྗے‬தԝप೾਺ʹ‫ج‬͍ͮͯධՁ͢Δɽ·ͣɼ‫ͱ਺܎ྗے‬͸ɼ਎ମͷ͋Δྗ఺ʹ༩͑ΒΕͨෛՙͱͦͷෛՙΛओʹෛ୲͢Δ‫ʹے‬ੜ͡Δ EMG ͷؔ܎Λදͨ͠΋ͷͰ͋Δɽऔಘͨ͠ EMG σʔλ E(t) ʹର͠ɼ��T�1 ∑Erms (t) =�
E(t − τ )2T τ =0(1)L = k(E rms − E rms0 )(2)Λ༻͍ͯ࣌ࠁ t − T ͔Β T [s] ؒʹ͓͚Δ࣮ޮ஋ Erms (t)Λಋग़͢ΔɽT = 0.5[s] ͱઃఆ͠ɼखઌʹෛՙ L[kgf] Λ͔͚ͨࡍͷ্࿹ೋ಄‫ے‬ͷ Erms (t) Λ Fig. 1 ʹࣔ͢ɽ͜ͷਤͰ͸ॎ࣠Λ Erms (t)ɼԣ࣠Λଌఆ࣌ؒ t ͱ͓ͯ͠Γɼෛՙྔ͕ଟ͘ͳΔఔɼ࣮ޮ஋ͷ஋΋େ͖͘ͳ͍ͬͯΔ͜ͱ͕Θ͔Δɽ·ͨɼ֤ෛՙͷ஋ L Λॎ࣠ɼ֤ෛՙຖͷ Erms (t) ͷฏ‫ۉ‬஋ E rms ͷ஋Λԣ࣠ͱ͢Δͱɼۙࣅࣜ͸ͱද͢͜ͱ͕Ͱ͖ɼ͜ͷͱ͖ͷ k Λ‫ͱ਺܎ྗے‬ఆ͍ٛͯ͠
ͨɽͨͩ͠ɼE rms0 ͸ɼແෛՙ࣌ʹ͓͚Δ E rms Ͱ͋Δɽ‫਺܎ྗے‬͸ɼඃ‫ऀݧ‬ຖʹҟͳΔͱ͍͏ੑ࣭Λ͍࣋ͬͯΔ͜ͱ͔Β (Fig. 2 ࢀর)ɼ‫਺܎ྗے‬Λ‫ٻ‬ΊΔ͜ͱͰɼඃ‫ऀݧ‬ຖ
ͷ EMG ͱ‫ے‬ෛՙͷؔ܎Λ஌Δ͜ͱ͕ՄೳͰ͋Γɼ‫ے‬ঢ়ଶͷධՁʹ‫਺܎ྗے‬Λ༻͍Δ͜ͱͱͨ͠ɽͭ͗ʹɼதԝप೾਺ (MDF: MeDian power Frequency) ͱ͸ɼ࣌‫ྻܥ‬৴߸Ͱ
͋Δ EMG σʔλΛ૭ؔ਺ͱߴ଎ϑʔϦΤม‫ʹ׵‬Αͬͯप೾਺෼ੳͨ͠‫ޙ‬ɼ(3) ࣜΛ༻͍ͯಋग़ͨ͠ fc ͷ஋Ͱ͋Δɽ

−1−EMG(RMS) E rms [mV]0[kgf]
4[kgf]

1[kgf]
5[kgf]

2[kgf]

3[kgf]

0.015
0.01
0.005
005

Time t [s]1015Fig. 1 EMG(RMS) time series signal each load
Subject X

Load L [kgf]5Subject Y

Subject Z

4

Fig. 3 State of the experiment for EMG measurement

3Table 1 Experimental conditions for EMG measurement

2Measurement position
Movement type
Subject
Duration
Sampling frequency
Load
Cutoﬀ frequency (LPF)
Cutoﬀ frequency (HPF)

100

0.01

0.02

EMG(RMS) E rms [mV]Fig. 2 Load and mean value of EMG(RMS)

12

∫ ∞

P (f )df =∫ fc

P (f )df(3)00Ұൠతʹɼ‫ے‬ർ࿑͕஝ੵ͞ΕΔͱύϫʔεϖΫτϧ P (f )͕શମతʹ௿प೾ଳҬʹભҠ͢Δͱ͍ΘΕ͍ͯΔ (2) ɽͭ·Γɼfc ͕খ͘͞ͳΔ΄Ͳ‫ے‬ർ࿑͕஝ੵ͞Ε͍ͯΔͱධՁ
͢Δ͜ͱ͕Ͱ͖Δɽࠓճ͸ଌఆ࣌ؒ (40[s]) Λલ൒෦ͱ‫ޙ‬൒෦ʹೋ෼͠ɼͦΕͧΕͷ MDF ஋ fc1 , fc2 Λ༻͍ͯ

D=fc2 − fc1× 100 [%]fc1(4)

ʹΑΓɼ࣌ؒมԽʹ൐͏ MDF ஋ͷ‫ݮ‬গ཰ D Λ‫ٻ‬Ίͨɽ͜ͷ஋͕খ͍͞΄Ͳ‫ے‬ർ࿑͕஝ੵ͞Εʹ͍͘͜ͱΛࣔͨ͢Ίɼ‫͕͋ྗٱ࣋ے‬Δͱ൑அ͢Δɽ·ͨɼ૭ؔ਺ॲཧΛࢪ͢ࡍʹ͸ϋχϯά૭Λ࢖༻ͨ͠ɽ
3. ‫࡯ߟͱূݕ‬3-1 ଌఆ৚݅ຊ‫͚͓ʹূݕ‬Δ EMG ͷऔಘʹ͸‫( ۃిࣜס‬DELSYS ࣾ੡ Bagnoli-2) Λ࢖༻ͨ͠ɽEMG ͷଌఆ࣌ʹ͸ɼFig. 3 ʹࣔ͢Α͏ʹ• ඃ‫ऀݧ‬͸ਫฏͳ৔ॴʹด‫؟‬ঢ়ଶͰ௚ཱ• ࿬Λ͠Ίͯར͖࿹ͷගΛ 90[deg] ʹ‫ݻͯ͛ۂ‬ఆ• ঠ͔Β௻͢ϕϧτͷϑοΫʹ਴Λ͔͚Δ͜ͱͰɼ্࿹ೋ಄‫ʹے‬ෛՙΛҹՃ• खट΁ͷෛ୲ܰ‫ͱݮ‬ෛՙΛखट΍ࢦͷྗͰࢧ͑ͳ͍Α͏ʹ͢ΔͨΊʹঠʹ͸εϙϯδΛઃஔͱͨ͠ɽͦͷଞͷ৚݅͸ Table 1 ʹࣔ͢ɽ·ͨɼଌఆ࣌ʹʮ༩͑ͨ਴ʹରͯۤ͠௧Λ‫͡ײ‬Δ͔ʯɼʮଌఆ։࢝೔ͱൺֱͯ͠ෛՙʹର͢Δ‫Ͳʹํ͡ײ‬ͷΑ͏ͳมԽ͕ੜ͔ͨ͡ʯͱ͍͏఺ʹର͠ɼඃ‫ऀݧ‬ͷओ‫؍‬తͳҙ‫ݟ‬Λ‫ه‬
࿥͢Δɽ

Biceps brachii muscle
Isometric contraction
One’s twenties
40[s]1000[Hz]1, 3, 5[kgf]20[Hz]
350[Hz]ͳ͓ɼඃ‫ऀݧ‬͸݈ৗͳ 20 ࡀ୅உੑɼର৅෦Ґ͸্࿹ೋ಄‫͠ͱے‬ɼର৅෦Ґͷ‫ڧ૿ྗے‬ΛਤΔ‫ྗے‬τϨʔχϯάΛ໿
1 ϲ݄ؒߦͬͯ΋Βͬͨɽ͜ͷ‫ؒظ‬͸τϨʔχϯάʹΑΔ‫ے‬ංେ͕ߦΘΕΔ௚લͷ‫͋Ͱؒظ‬Γɼ‫͕ྗے‬ஶ͘͠޲্͢Δ͜ͱͰ஌ΒΕ͍ͯΔ (4) ɽ‫ྗے‬ͷਰ͕͑࢝·͍ͬͯΔߴྸऀͷ৔߹͸ɼϦϋϏϦςʔγϣϯ΍τϨʔχϯάΛߦͬͯ΋‫͕ے‬ංେ͢Δ͜ͱ͸΄ͱΜͲͳ͍ͨΊɼ1 ϲ݄ͱ͍͏τϨʔχϯά‫ؒظ‬͸ຊ‫ڀݚ‬ͷ໨తʹదͨ͠‫͋Ͱؒظ‬Δͱߟ
͑ΔɽτϨʔχϯάͷ಺༰͸ɼ্࿹ೋ಄‫ʹے‬ෛՙΛ༩͑ΔͨΊɼගΛ಺଼ʹ͚ͭͨঢ়ଶͰ 5[kg] ͷ਴Λ্Լͤ͞Δͱ͍͏΋ͷͰ͋Γɼ1 ηοτ 10 ճͷ্Լಈ࡞Λ 1 ೔ 3 ηοτߦ͏͜ͱͱͨ͠ɽτϨʔχϯά͕ਐΉʹ͋ͨΓɼ্࿹ೋ಄‫ʹے‬ෛ୲Λ‫ͨͬͳ͘͘ʹ͡ײ‬৔߹ʹ͸ɼ1 ηοτ಺ͷ্Լಈ࡞ճ਺Λෛ୲Λ‫͡ײ‬Δ·Ͱ૿΍͢͜ͱͱͨ͠ɽͳ͓ɼҎ‫ޙ‬ͷτϨʔχϯάͰ͸ 1 ౓૿΍্ͨ͠Լճ਺͸‫ݮ‬Β͞ͳ͍͜ͱͱͨ͠ɽ
3-2 ଌఆ݁Ռ‫ྗے‬τϨʔχϯάͷ༗ແʹΑΔҧ͍Λ֬ೝ͢ΔͨΊʹɼલষͷτϨʔχϯάΛ՝ͨ͠ඃ‫ ऀݧ‬A ͱ՝͞ͳ͔ͬͨඃ‫ ऀݧ‬B ͷ݁ՌΛൺֱ͢Δɽ·ͣɼ‫਺܎ྗے‬ͷมಈΛ Fig. 4 ʹࣔ͢ɽॎ࣠͸‫܎ྗے‬਺ɼԣ࣠͸τϨʔχϯάͷ‫ܦ‬ա೔਺Λ͓ࣔͯ͠Γɼਤதͷ˔఺ͱ˓఺͸ͦΕͧΕඃ‫ ऀݧ‬A ͱ B ͷ݁ՌͰ͋Δɽ࣮ઢ͸ɼඃ‫ ऀݧ‬A(˔఺) ͷ࠷େ͓Αͼͱ࠷খ஋Λআ͍ͨ‫܎ྗے‬਺Λ‫ʹج‬ಋग़ͨ͠Ұ࣍ۙࣅ௚ઢɼഁઢ͸ɼඃ‫ ऀݧ‬B(˓఺)ʹରͯ͠ಉ༷ʹͯ͠ಘͨۙࣅ௚ઢͰ͋Δɽ྆ऀΛ‫ݟ‬ൺ΂Δͱɼӈ࿹ (ར͖࿹) ͷ܏͖͸ͱ΋ʹӈ‫্͕ݞ‬Γʹͳ͓ͬͯΓɼଌఆ೔͕‫ܦ‬ա͢Δ΄Ͳ‫਺܎ྗے‬ͷ஋͕ߴ͘ͳ͍ͬͯΔɽ͔͠͠ͳ͕Βɼࠨ࿹ (ඇར͖࿹) ʹண໨͢Δͱඃ‫ ऀݧ‬A ͸ར͖࿹ͱಉ͘͡ӈ‫্͕ݞ‬Γʹͳ͍ͬͯΔ͕ඃ‫ ऀݧ‬B Ͱ͸ӈ‫ݞ‬Լ͕Γʹͳ͓ͬͯΓɼଌఆ೔͕‫ܦ‬ա͢Δ΄Ͳ‫਺܎ྗے‬ͷ஋͕௿Լ͢Δ܏޲͕͋Δɽ

−2−

The musclar power cofficient [kgf/mV]

The muscular power coefficient ( ‫ ە‬Subject A, ‫ ۑ‬Subject B)Approximation straight line (Subject A,Subject B)

1500

Table 2 Median power frequency value of subject A

ArmRightX

1000

Left

500
00102030

Duration of feeding period [Day]

40Arm
Right

The musclar power cofficient [kgf/mV]

The muscular power coefficient ( ‫ ە‬Subject A, ‫ ۑ‬Subject B)
Approximation straight line (Subject A,Subject B)

1000

Left

Y

500
00

102030Duration of feeding period [Day]MDF value [Hz]fc1
fc2
68.176 65.796
65.491 64.942
74.463 69.031
73.792 69.824

Decreasingrate [%]
3.491
0.838
7.295
5.337

Table 3 Median power frequency value of subject B(a) Right arm (One’s dominant arm)

1500

Day
period038
038

40(b) Left arm (One’s nondominant arm)

Fig. 4 Change detection of EMG (Was imposedon Subject A training, wasn’t imposed on SubjectB)ͭ͗ʹɼଌఆ։࢝೔ͱଌఆऴྃ೔ʹ͓͚Δෛՙྔ 5[kgf]Λ ༩ ͑ ͨ ࡍ ͷ ࣌ ؒ ม Խ ʹ ൐ ͏ MDF ஋ ͷ ‫ ݮ‬গ ཰ Λ Table 2,3 ʹࣔ͢ɽඃ‫ ऀݧ‬A ͸ଌఆ։࢝೔ʹൺ΂ͯऴྃ೔ͷํ͕‫ݮ‬গ཰͕௿͘ͳ͍ͬͯΔ͕ɼඃ‫ ऀݧ‬B Ͱ͸‫ݦ‬ஶͳ͕ࠩ‫ݟ‬ΒΕͳ͔ͬͨɽ·ͨɼଌఆ࣌ʹಘͨඃ‫ऀݧ‬ͷ‫ײ‬૝͸ɼ྆ऀͱ΋ଌఆ೔͕‫ܦ‬ա͢Δ΄Ͳෛ୲‫͞ݮ͕ܰײ‬Εͨͱ͍͏΋ͷͰ͕͋ͬͨɼऴྃ೔෇ۙͰ΋ɼલճͷଌఆ࣌ΑΓ΋ෛ୲‫͢૿͕ײ‬೔΋͋Δͱ͍͏΋ͷͩͬͨɽ3-3 ߟ࡯
Fig. 4 ͷۙࣅ௚ઢΑΓɼӈ࿹ (ར͖࿹) ʹؔͯ͠͸ɼ྆ऀͱ΋‫૿͕਺܎ྗے‬Ճ܏޲ʹ͋Γࠩ͸‫ݟ‬ΒΕͳ͔͕ͬͨɼࠨ࿹ (ඇར͖࿹) ʹؔͯ͠͸ɼඃ‫ ऀݧ‬A ͸૿Ճ܏޲ɼඃ‫ ऀݧ‬B͸‫ݮ‬গ܏޲ͱ͍͏݁ՌͱͳΓɼτϨʔχϯάΛߦ͏͜ͱʹΑΓ‫͞ڧ૿͕ྗے‬Εͨͱ͍͑Δɽ͜ͷ͜ͱ͔Βɼ೔ৗతʹ‫͍ͯ͠࢖ۦ‬Δར͖࿹Ͱ͸‫͕ྗے‬ҡ࣋͞Ε͍ͯΔͨΊτϨʔχϯάͷޮՌ͕දΕʹ͍͕͘ɼ࢖༻ස౓͕௿͍ඇར͖࿹Ͱ͸ޮՌ͕දΕ΍͍͢ͱߟ͑ΒΕΔɽϦϋϏϦςʔγϣϯΛඞཁͱ͍ͯ͠Δ‫ऀױ‬͸ɼ೔ৗతʹର৅෦ҐΛ‫͖Ͱ࢖ۦ‬Δঢ়ଶͰ͸ͳ͍ͨΊɼඇར͖࿹ͷ݁Ռ͸͜ͷΑ͏ͳέʔεʹ͓͚ΔϦϋϏϦςʔγϣϯޮՌΛࣔ͢΋ͷͱߟ͑ΒΕΔɽͭ͗ʹɼTable 2, 3 ͷ MDF ஋ͷ‫ݮ‬গ཰ΑΓɼඃ‫ ऀݧ‬Aʹؔͯ͠͸ɼ྆࿹ͱ΋ଌఆ։࢝೔ʹൺ΂ͯऴྃ೔ͷ஋͕௿͘ͳ͍ͬͯΔ͕ɼඃ‫ ऀݧ‬B ʹؔͯ͠͸͋·Γ஋͕มಈ͍ͯ͠ͳ͍ɽ͜Ε͸ɼࠓճͷτϨʔχϯάʹΑΓඃ‫ ऀݧ‬A ͷ‫ے‬࣋‫ͨͨͬ·ߴ͕ྗٱ‬Ίͱߟ͑ΒΕΔɽ·ͨɼଌఆ೔ຖͷ‫਺܎ྗے‬ͷ͹Β͖ͭʹ͍ͭͯඃ‫ऀݧ‬ͷ‫ײ‬૝ͱরΒ͠߹ΘͤΔͱɼલճͷଌఆ೔ʹൺ΂ͯෛ୲‫͕ײ‬͋Δͱ‫ʹࡍͨ͡ײ‬͸‫਺܎ྗے‬ͷ஋͕‫ݮ‬গ͠ɼෛ୲‫ݮ͕ܰײ‬ͨ͠ͱ‫ʹࡍͨ͡ײ‬͸૿Ճ͢Δ͜ͱ͕ଟ͔ͬͨɽ‫ͱ਺܎ྗے‬Day
period035
035

MDF value [Hz]fc1
fc2
67.871 67.871
72.998 72.388
76.111 72.449
73.181 68.542

Decreasingrate [%]
0.000
0.836
5.055
6.339

MDF ஋ͷ‫ݮ‬গ཰ͷมಈʹ͓͚Δؔ܎Λ֬ೝ͢ΔͨΊʹɼඃ‫ ऀݧ‬A ͷଌఆऴྃ೔ͱͦͷલճͷଌఆ೔ (Fig. 4 ͷ X, Y෦) ͷ݁Ռʹ͍ͭͯൺֱΛߦ͏ɽଌఆऴྃ೔ͷ‫਺܎ྗے‬͸͍ͣΕ΋લճΑΓ௿͘ɼඃ‫͔ऀݧ‬Β΋ଌఆऴྃ೔ͷํ͕ෛ୲‫ͱ͕ͨͬ͋ײ‬ҙ‫ݟ‬Λಘ͍ͯΔɽ͜ͷ͜ͱ͔Βɼଌఆऴྃ
೔ͷํ͕ MDF ஋ͷ‫ݮ‬গ཰͕ߴ͍͜ͱ͕༧૝͞ΕΔɽͦ͜Ͱɼෛՙྔ 5[kgf] ࣌ͷ MDF ஋ͷ‫ݮ‬গ཰Λಋग़ͨ͠ͱ͜ΖX: 3.477[%], Y: 5.166[%] ͱͳΓɼར͖࿹ʹؔͯ͠͸༧૝ʹ൓ͨ݁͠ՌΛಘ͕ͨɼඇར͖࿹ʹؔͯ͠͸ Y ෦ΑΓ΋ऴྃ೔ͷํ͕‫ݮ‬গ཰ͷํ͕ߴ͘ɼ༧૝௨Γͷ݁ՌΛಘͨɽ
Fig. 4 ͷۙࣅ௚ઢͷ݁Ռͱಉ༷ʹඇར͖࿹͸ར͖࿹ʹൺ΂ͯ࢖༻ස౓͕௿͍ͨΊɼτϨʔχϯάͷޮՌ͕ΑΓදΕͨ΋ͷͱߟ͑ΒΕΔɽ͜ΕΒΑΓɼ೔ৗੜ‫༻࢖͍͓ͯʹ׆‬ස౓͕௿͍ඇར͖࿹ʹண໨ͨ͠ͱ͖ɼ‫਺܎ྗے‬ͷมಈΛࢦඪͱͯ͠ѻ͏͜ͱͰ‫ے‬ͷঢ়ଶΛఆྔతʹධՁ͢Δ͜ͱ͕Ͱ͖ΔՄೳੑ͕‫ݟ‬ग़ͤͨͱߟ͑Δɽඇར͖࿹ͷঢ়ଶ͸ϦϋϏϦςʔγϣϯΛඞཁͱ͢Δ‫ऀױ‬ͷঢ়ଶͱࣅ௨͍ͬͯΔͨΊɼϦϋϏϦςʔγϣϯ΁ͷԠ༻΋‫ظ‬଴Ͱ͖Δɽ
4.

͓ΘΓʹຊ‫Ͱڀݚ‬͸‫ྗے‬τϨʔχϯάʹΑΔ‫ڧ૿ྗے‬Λର৅ͱ͠ɼ਺೔ؒ EMG औಘΛߦ͍ɼ‫਺܎ྗے‬ͷมಈ͕‫ے‬ঢ়ଶΛද͢ࢦඪͱͯ͠༻͍Δ͜ͱ͕Ͱ͖Δ͔‫ূݕ‬Λߦͬͨɽͦͷ݁ՌɼτϨʔχϯάΛߦͬͨඃ‫ऀݧ‬ͷ‫਺܎ྗے‬ͷ૿‫ݮ‬Λ௕‫ظ‬తʹ‫ͨݟ‬৔߹ʹ͸૿Ճ܏޲Ͱ͋Δ͜ͱ͕֬ೝͰ͖ɼ·ͨɼ୹‫ظ‬తʹ‫ͨݟ‬৔߹Ͱ΋‫ ͱ਺܎ྗے‬MDF ஋ͷ‫ݮ‬গ཰ͷมಈʹ͸ؔ܎ੑ͕͋Δ͜ͱΛ֬ೝͰ͖ͨɽࠓ‫ޙ‬͸ɼඃ‫਺ऀݧ‬Λ૿΍ͯ͠౷‫ܭ‬తʹͦͷ܏޲Λ֬ೝ͍ͯ͘͠ɽࢀߟจ‫ݙ‬−3−ʮ৽ · ెख‫ࠪݕྗے‬๏ ‫ݪ‬(1) H.J.HislopɼJ.Montgomeryɼஶୈ 8 ൛ʯɼ‫ࣜג‬ձࣾ‫ڞ‬ಉҩॻग़൛ࣾɼ2008ɽ(2) ໦௩ேതɼ૿ాਖ਼ɼ໦ཽపɼࠤ౉ࢁѥฌɼʮόΠΦϝΧ
χζϜ · ϥΠϒϥϦʔ ද໘‫ిے‬ਤʯɼ౦‫ػిژ‬େֶग़൛‫ہ‬ɼ2006ɽ(3) ۳ాେีɼۚᖒஐ޺ɼ๺ଜষɼʮ਎ମతಛ௃ͱ EMG ʹ‫ͮ͘ج‬ԼࢶϦϋϏϦγεςϜͷߏஙʯɼి‫ֶؾ‬ձ࿦จࢽ CɼVol.130ɼNo.7ɼpp.1132-1138ɼ2010ɽ(4) ੴҪ௚ํɼʮ‫ے‬೑ֶೖ໳ʕώτ͸ͳͥτϨʔχϯά͕ඞཁͳͷ͔ʁʯɼ‫ࣜג‬ձࣾߨஊࣾɼ2009ɽ