ǫǰǡǟVol. 2: )3125*Ą44ġ48

ഽൌచɤાɬᅙȞȹʀʥ˃ʆĜୠෂ࡙৭Ɉ༜ᆵཡ๝ɒɈܾᅙɈ૚əĪ༜Ɉୈࡖɂʀʥ˃ʆିఒచɤાɈୈࡖɈ࠲बī

44ከయ᣺ࡾᏊࢆ⏝࠸ࡓ࢚ࢿࣝࢠ࣮㞟୰ᶵᵓࡢἼຊⓎ㟁࡬ࡢᛂ⏝ࡢヨࡳ㸦Ἴࡢ࿘ᮇ࡜࢚ࢿࣝࢠཷಙ᣺ࡾᏊࡢ࿘ᮇࡢ㛵ಀ㸧ᑠ➉ ⱱኵ*1
Application of Energy Concentration System with Multiple Pendulum
for Wave Power Generation(Relation between Periods of Wave and Energy-Received Pendulum)
Shigeo KOTAKE*1*1

Mie Univ. Dept. of Mechanical Engineering
Kurimamachiya-cho 1577, Tsu-shi, Mie, 514-8507 Japan
Energy transfers from a wave excited pendulum to an energy-received one in a multiple pendulums were observedin a wave generator waterway. When the natural period of the energy-received oscillator is half of the wave period, theefficiency of the energy transfer was maximized. The mechanism of this phenomena was explained from Groveralgorithm in multiple oscillations or autoparametric excitation. Since power generation can be apart from the excited
pendulum in the multiple oscillator, quality of frequency in power generation and the system endurance could beincreased.
Key Words : Wave power generation, Energy transfer mechanism, Grover algorithm, Autoparametric excitation

1. ⥴   ゝ⮬↛࢚ࢿࣝࢠ࣮ࡢ฼⏝࡟࠾࠸࡚㸪୍ࡘࡢゎỴࡍ࡭ࡁ኱ࡁ࡞ၥ㢟ࡣࡑࡢ࢚ࢿࣝࢠ࣮ᐦᗘࡢⷧࡉ࡛࠶ࡿ㸬ᆅ⌫࡟ࡣ⭾኱࡞ኴ㝧࢚ࢿࣝࢠ࣮ࡀ㝆ࡾὀ࠸࡛࠸ࡿࡶࡢࡢ㸪༢఩㠃✚ᙜࡓࡾࡢ㔞ࡣᑡ࡞ࡃ㸪ࡑࡢࡓࡵⅆຊⓎ㟁ࡸཎᏊຊⓎ㟁➼ࡢ኱つᶍ㞟୰Ⓨ㟁ἲ࡜ẚ࡭࡚ࢥࢫࢺࡢⅬ࡛኱ࡁࡃᘬࡅࢆྲྀࡿࡢࡀ⌧≧࡛࠶ࡿ㸬㢼ຊⓎ㟁ࡢ኱ᆺ໬ࡣࡑࡢ୍ࡘࡢゎ࡛࠶ࡾ㸪┤ᚄ 㹫ࡶࡢ⩚᰿ࢆ฼⏝ࡍࡿࡇ࡜࡛ⅆຊⓎ㟁୪ࡢࢥࢫࢺࡢపୗࡀᐇ⌧ࡋࡘࡘ࠶ࡿ㸬ࡋ࠿ࡋࡇࢀ௨ୖࡢ኱つᶍ໬ࡣ㸪⩚᰿ࡢᙉᗘୖࡢタィ࠿ࡽࡶ㝈⏺࡟㏆ࡃ㸪᪂ࡓ࡞࢔࢖ࢹ࢕࢔ࡀᚅࡕᮃࡲࢀ࡚࠸ࡿ㸬 ᾏࡢἼࡢ࢚ࢿࣝࢠ࣮ࢆ฼⏝ࡋࡓἼຊⓎ㟁ἲࡣ㸪Ἴ⮬యࡢ࢚ࢿࣝࢠ࣮ࡀỈ࡜࠸ࡗࡓᐦᗘࡢ㧗࠸፹యࢆ㏻ࡋ࡚ᚓࡽࢀࡿࡇ࡜࠿ࡽຠ⋡ࡀⰋࡃ㸪㸯㹫ᖜᙜࡓࡾ N:㹼㹩: ࡢ࢚ࢿࣝࢠ࣮ࡀᚓࡽࢀࡿࡇ࡜ࡀ▱ࡽࢀ࡚࠸ࡿ  㸬୍᪉࡛㸪Ἴࡢ࢚ࢿࣝࢠ࣮ࡣἼᾉࡢ≧ἣ࡟ࡼࡗ࡚኱ࡁࡃኚ໬ࡍࡿࡇ࡜࠿ࡽ㸪ἼຊⓎ㟁ࡢタィ࡟ࡣᔒࡢ㝿࡟ࡶቯࢀ࡞࠸㡹୔ࡉࢆಖ㞀ࡍࡿᚲせࡀ࠶ࡿ  㸬ࡑࡢࡓࡵἼຊⓎ㟁୍ᇶᙜࡓࡾࡢ኱ᆺ໬ࡣ㞴ࡋࡃ㸪㢼ຊࡢࡼ࠺࡞኱つᶍ໬ࡣ㐍ࢇ࡛ࡇ࡞࠿ࡗࡓ㸬 ௚᪉㸪Ἴຊࡣᾏୖ࡛ࡣୖୗ᪉ྥ࡟㸪ࡲࡓᾏᓊ⥺࡛ࡣỈᖹ᪉ྥ࡟ ᚟ࡍࡿ㐠ື࡛࠶ࡿࡇ࡜࠿ࡽ㸪᣺ࡾᏊ➼ࡢ᣺ືᏊࢆ⏝࠸࡚࢚ࢿࣝࢠ࣮ࢆྲྀࡾฟࡍᕤኵࡀヨࡳࡽࢀ࡚ࡁࡓ    㸬࡜ࡇࢁࡀ๓㏙ࡢࡼ࠺࡞⌮⏤࠿ࡽ㸪Ἴຊࢆཷࡅࡿ⩚᰿ࢆᴟ➃࡟኱ࡁࡃࡍࡿࡇ࡜ࡣ࡛ࡁࡎ㸪୍ࡘࡢⓎ㟁ᶵᙜࡓࡾࡢ࢚ࢿࣝࢠ࣮ᐦᗘࢆୖࡆࡿࡇ࡜ࡣ࡛ࡁ࡞࠸࡛࠸ࡓ㸬ࡲࡓ኱ᆺ࡞Ⓨ㟁ᶵࢆసࡗࡓ࡜ࡋ࡚ࡶ㸪ࡑࡢࢥࢫࢺࡣ௚ࡢⓎ㟁ἲ࡟ẚ࡭๭㧗࡞ࡶࡢ࡜࡞ࡗ࡚࠸ࡓ㸬ࡉࡽ࡟Ἴࡣ᣺ືࡢ࿘ᮇࡀ୙つ๎࡛࠶ࡿࡇ࡜࠿ࡽ㸪୍ᐃࡢ࿘ᮇ࡛㐠ືࡍࡿ᣺ࡾᏊࢆ⏝࠸ࡓሙྜ㸪ᚲࡎࡋࡶἼຊ࠿ࡽຠ⋡ⓗ࡟࢚ࢿࣝࢠ࣮ࢆྲྀࡾฟࡍࡇ࡜ࡣ࡛ࡁ࡞࠸࡛࠸ࡓ㸬 ࡇࢀࡲ࡛➹⪅ࡽࡣ㸪㔞Ꮚ᝟ሗ⌮ㄽ࡟࠾ࡅࡿ㔞Ꮚ࢔ࣝࢦࣜࢬ࣒ࢆྂ඾ⓗ࡞Ἴື⌧㇟࡟ᛂ⏝ࡍࡿヨࡳࢆ⥆ࡅ࡚ࡁࡓ㸬౛࠼ࡤከᩘࡢ᣺ືᏊ࠿ࡽ࡞ࡿከయ᣺ື⣔ࡣࡑࡢ୍ࡘ࡛࠶ࡾ㸪ከᩘࡢ᣺ືᏊ㛫࡟⏕ࡌࡿ㠀⥺ᙧ⌧㇟ࡢ୰࡟ࡣἼ*ཎ✏ཷ௜ 2014 ᖺ 07 ᭶ 08 ᪥୕㔜኱Ꮫ㸦ࠛ514-8507 ୕㔜┴ὠᕷᰩ┿⏫ᒇ⏫ 1577㸧
E-mail: kotake@mach.mie-u.ac.jp*145ழඹჺ࿧ືࡢసࡿ࢔ࣝࢦࣜࢬ࣒࡜ࡋ࡚⌮ゎ࡛ࡁࡿࡶࡢࡀ࠶ࡿࡇ࡜ࢆ᫂ࡽ࠿࡟ࡋ࡚ࡁࡓ㸬౛࠼ࡤ *URYHU ࢔ࣝࢦࣜࢬ࣒   ࡣ㸪㔞Ꮚ᝟ሗ⌮ㄽ࡟࠾࠸࡚ࡣᑓࡽ᝟ሗ᳨⣴࢔ࣝࢦࣜࢬ࣒࡜ࡋ࡚⏝࠸ࡽࢀ࡚ࡁࡓࡀ㸪ከయ⾪✺᣺ື⣔࡟ᛂ⏝ࡋࡓሙྜ㸪᣺ືᏊ㛫ࡢ࢚ࢿࣝࢠ࣮⛣ືࢆᐇ⌧ࡍࡿ  㸬ࡇࢀࢆἼຊⓎ㟁࡟ᛂ⏝ࡋࡓሙྜ㸪⿦⨨ࢆ㐺ษ࡟タィࡍࡿࡇ࡜࡛㸪Ἴ࡟ࡼࡗ࡚ຍ᣺ࡉࢀࡿከᩘࡢ᣺ືᏊࡢ᣺ື࢚ࢿࣝࢠ࣮ࢆ୍࠿ᡤ࡟㞟୰ࡍࡿࡇ࡜ࡀ࡛ࡁࡿྍ⬟ᛶࡀ࠶ࡿ   㸬ࡲࡓἼࢆཷࡅࡿ᣺ືᏊ࡜ࡣูࡢ᣺ືᏊ࡟࢚ࢿࣝࢠ࣮ࢆ⛣ືࡉࡏࡿࡇ࡜ࡀ࡛ࡁࡿࡇ࡜࠿ࡽ㸪Ⓨ㟁ࢆࡼࡾ⡆౽࡟⾜࠼ࡿྍ⬟ᛶࡀ࠶ࡿ㸬 ࡇࢀࡲ࡛ *URYHU ࢔ࣝࢦࣜࢬ࣒ࢆ⏝࠸ࡓἼຊⓎ㟁ἲࡣ㸪ᴫᛕୖࡸᩘ್ィ⟬ୖ࡛ࡣ᳨ウࡉࢀ࡚ࡁࡓࡀ㸪ᐇ㝿ࡢ⿦⨨࡜ࡋ࡚ࡑࡢᶵ⬟ࢆ☜࠿ࡵࡿᐇ㦂ࡣ⾜ࢃࢀ࡚ࡇ࡞࠿ࡗࡓ㸬ࡑࡇ࡛௒ᅇࡣ㸪*URYHU ࢔ࣝࢦࣜࢬ࣒ࡀᡂࡾ❧ࡘࡼ࠺࡟タィࡉࢀࡓከయ᣺ࡾᏊࢆ⏝࠸ࡿࡇ࡜࡛㸪Ἴຊࢆཷࡅࡿ᣺ືᏊ࡜ࡣู࡞≉Ṧ᣺ືᏊ࡟࢚ࢿࣝࢠ࣮ࢆ⛣ືࡉࡏࡿᐇ㦂ࢆ⾜ࡗࡓ㸬௒ᅇࡣ≉࡟ຍ᣺࡜ࡋ࡚ാࡃἼࡢ࿘ᮇ࡜㸪࢚ࢿࣝࢠ࣮ࢆ㞟୰ࡉࡏࡿ≉Ṧ᣺ືᏊࡢᅛ᭷࿘ᮇ࡜ࡢ㛵ಀ࡟ࡘ࠸࡚⪃ᐹࢆ⾜ࡗࡓࡢ࡛ሗ࿌ࡍࡿ㸬
2. ᐇ㦂᪉ἲ2࣭1 ከయ᣺ࡾᏊ Ἴຊࢆཷࡅࡿ᣺ࡾᏊ㸦ຍ᣺᣺ࡾᏊ㸧࠿ࡽ㸪࢚ࢿࣝࢠ࣮ࢆ㞟ࡵࡿ᣺ࡾᏊ㸦ཷಙ᣺ࡾᏊ㸧࡟㸪᣺ື࢚ࢿࣝࢠ࣮ࢆ⛣ືࡉࡏࡿࡇ࡜ࢆ┠ⓗ࡜ࡋࡓከయ᣺ࡾᏊࡢᴫ␎ᅗࢆᅗ㸯࡟♧ࡍ㸬ࡇࡢ⿦⨨ࡢタィࡢᇶ࡜࡞ࡿከయ᣺ືᏊ࡟ࡼࡿ࢚ࢿࣝࢠ࣮⛣ືࡢ⌮ㄽ࡟ࡘ࠸࡚ࡣ㸪௚ࡢᩥ⊩࡟ヲࡋ࠸()㸬Ἴຊࢆཷࡅࡿຍ᣺᣺ࡾᏊࡣࢧ࢖ࢬࡀ 225900mm ࡢ㠃✚ࡢ  ᯛࡢ࡭ࢽ࢔ᯈ࡛࡛ࡁ࡚࠾ࡾ㸪㠃඲య࡛Ἴຊࢆཷࡅࡿ㸬ᯈ㠃ࡢ  ࡣỈᰕ࡟ࡘ࠿ࡿࡓࡵ⮬⏤᣺ືࡣ⏕ࡌࡎ㸪᣺ࡾᏊࡢᦂࢀࡣ࡯ࡰἼࡢ࿘ᮇ࡜➼ࡋࡃ࡞ࡿ㸬ࡇࡢ᣺ࡾᏊ
ࡣࡍ࡭ࡾ㍈ཷࡅ࡛ 686 〇ࡢ 2000mm 㛗ࡉࡢࣟࢵࢻ࡟᥋⥆ࡉࢀ࡚࠾ࡾ㸪ࡇࡢࣟࢵࢻࡣᚋ㏙ࡍࡿ኱᣺ືᏊ࡜࡞ࡿ᥋⥆᣺ࡾᏊࡢ୍㒊࡜࡞ࡿ㸬
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Fig.1 Schematic figure and photograph of the multiple pendulum with energy transfer mechanism ྠᵝ࡟ࡇࡢࣟࢵࢻ࡟ࡣ㸪ࡍ࡭ࡾ㍈ཷࡅࢆ௓ࡋ࡚ຍ᣺᣺ࡾᏊ࠿ࡽ࢚ࢿࣝࢠ࣮ࢆྲྀࡾฟࡍཷಙ᣺ࡾᏊࡀྲྀࡾ௜ࡅࡽ
ࢀ࡚࠸ࡿ㸬ࡇࡢཷಙ᣺ࡾᏊࡣ 2100mm ࡢ㛗ࡉࡢ᯶࠿ࡽᡂࡾ㸪ඛ➃࡟ࡣຍ㏿ᗘࢭࣥࢧ࣮ࡀྲྀࡾ௜ࡅࡽࢀࡓ㗽ࡀࡘ࠸࡚࠸ࡿ㸬௒ᅇࡣຍ㏿ᗘࡀ༑ศ࡛࡞࠿ࡗࡓࡇ࡜࠿ࡽ㸪ࡇࡢࢭࣥࢧ࣮ࡢ್ࡣ౑ࢃࢀ࡚࠸࡞࠸㸬ࡇࡢཷಙ᣺ࡾᏊࡣ㸪⮬⏤᣺ືᏊ࡛࠶ࡾ㸪௒ᅇࡣⓎ㟁ᶵࡸࢲࣥࣃ࣮➼ࡣྲྀࡾ௜ࡅࡽࢀ࡚࠸࡞࠸ࡀ㸪㍈ཷࡅ➼࡛࢚ࢿࣝࢠ࣮ῶ⾶ࡀⓎ⏕ࡋ࡚࠸ࡿࡶࡢ࡜⪃࠼ࡽࢀࡿ㸬ᐇ ࡋࡓ࡜ࡇࢁ㸪ࡇࡢཷಙ᣺ࡾᏊ⮬㌟ࡢᅛ᭷࿘ᮇࡣ 2.5s ࡛࠶ࡗࡓ㸬ഽൌచɤાɬᅙȞȹʀʥ˃ʆĜୠෂ࡙৭Ɉ༜ᆵཡ๝ɒɈܾᅙɈ૚ə
Ī༜Ɉୈࡖɂʀʥ˃ʆିఒచɤાɈୈࡖɈ࠲बī ୍᪉㸪๓㏙ࡢ 2000mm 㛗ࡉࡢࣟࢵࢻ࡜ 2200mm 㛗ࡉࡢูࡢࣟࢵࢻࡣ㸪ࡍ࡭ࡾ㍈ཷࡅࢆ௓ࡋ࡚ 100mm 㛗ࡉࡢྲྀࡾ௜ࡅ㔠ල࡛᥋⥆ࡉࢀ࡚࠾ࡾ㸪኱᣺ືᏊ࡜࡞ࡿ᥋⥆᣺ࡾᏊ࡜ࡋ࡚ാࡃ㸬᥋⥆᣺ࡾᏊ⮬㌟ࡢᅛ᭷࿘ᮇࡣᐇ ࡋࡓ࡜ࡇࢁ㸪0.5s ࡛࠶ࡾ㸪ຍ᣺᣺ࡾᏊࡸཷಙ᣺ࡾᏊࡼࡾࡶ༑ศ࡟᣺ືᩘࡀ㧗࠸㸬*URYHU ࢔ࣝࢦࣜࢬ࣒࡟ࡼࡗ࡚タィࡉࢀࡓከయ᣺ື⣔ࡢሙྜ㸪᥋⥆᣺ࡾᏊࡢᅛ᭷࿘ᮇࡣ≉ᐃࡢ᮲௳ᘧ࡟ࡼࡾᐃࡵࡽࢀࡿࡀ  㸪ຍ᣺᣺ࡾᏊࡼࡾࡶ᣺ືᩘࡀ
㧗࠸ሙྜ㸪㏆ఝⓗ࡟ࡇࡢ᮲௳ࡣ‶ࡓࡉࢀࡿࡇ࡜࠿ࡽ㸪௒ᅇࡣ≉࡟⪃៖ࡋ࡞࠸㸬௨ୗ࡛ࡣ㸪ࡇࡢ᥋⥆᣺ࡾᏊࢆ௓ࡋ࡚㸪࡝ࡢࡼ࠺࡞ከయ᣺ࡾᏊࡢタィ᮲௳࡛㸪ຍ᣺᣺ࡾᏊ࠿ࡽཷಙ᣺ࡾᏊ࡬࡜࢚ࢿࣝࢠ࣮ࡀὶࢀࡿ࠿࡟ࡘ࠸࡚⪃ᐹࢆ㐍ࡵࡿ㸬
2࣭2 ᐇ㦂タഛ࠾ࡼࡧᐇ㦂᮲௳ ௒ᅇ⏝࠸ࡓ㐀Ἴ⿦⨨ࡣబ㈡኱Ꮫᾏὒ࢚ࢿࣝࢠ࣮◊✲ࢭࣥࢱ࣮ෆ࡟࠶ࡿ୕஭㐀⯪〇㸪஧ḟඖ㐀ἼỈ㊰࡛࠶ࡿ㸬ࡇࡢ⿦⨨ࡣ㸪ᅗ㸰࡟♧ࡍࡼ࠺࡞ 800mm ᖜ㸪1000mm ῝ࡉ㸪10m 㛗ࡉὶ㊰࡟࠾࠸࡚㸪␗࡞ࡿ࿘ᮇ࡛ࡢ㐀Ἴࡀྍ⬟࡛࠶ࡿ㸬ࡇࡢὶ㊰ࢆࡲࡓࡄᙧ࡛ 3㹫㧗ࡉࡢᅛᐃྎ  ᮏࢆタ⨨ࡋ㸪ࡑࡢ㛫࡟ከయ᣺ࡾᏊࢆྞࡿࡋࡓ㸦ᅗ㸰㸧㸬Ἴຊࢆཷࡅ
ࡿ࡭ࢽ࢔ᯈࡣỈ୰࡟ 300mm ධࡿ఩⨨࡟タ⨨ࡋࡓࡀ㸪ᮌᮦ࡛࠶ࡗࡓࡓࡵᯈࡣᾋࡁୖࡀࡾ rࡢഴࡁࢆᣢࡗࡓ㸬௒ᅇࡢᐇ㦂࡛ࡣ㸪㐀Ἴࡢຍ᣺ຊࡣୖୗ᪉ྥ࡟ാࡃࡀ㸪ᩳࡵࡢᯈ࡟ࡼࡾ᣺ࡾᏊࡢ᣺ືࡀⓎ⏕ࡋࡓ㸬 ᐇ㦂᮲௳࡜ࡋ࡚㸪㐀ἼࡍࡿἼ㧗 50mm ࡢἼࡢ࿘ᮇࢆ 0.9㹼3.0s ࡲ࡛㸪0.1s ࡎࡘኚ໬ࡉࡏࡓ㸬ྛἼࡢᐇ㦂᫬㛫ࡣ
30s ࡋ㸪ᐃᖖ≧ែ࡟࠾ࡅࡿྛἼࡢ᣺ᖜࡣ୍ᐃ࡜ࡋࡓ㸬ከయ᣺ࡾᏊࡢ᣺ືࡣ㸪ഃ㠃ࡢᅛᐃ࣓࡛࢝ࣛ᧜ᙳࡋ㸪ᐃᖖ≧ែ㐩ᡂᚋࡢᵝᏊ࠿ࡽཷಙ᣺ࡾᏊࡢ᣺ᖜࢆ ᐃࡋࡓ㸬
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Fig.2 Schematic figure and photograph of the multiple pendulum with the wave generator waterway
3. ᐇ㦂⤖ᯝ࠾ࡼࡧ⪃ᐹ3࣭1 ࢚ࢿࣝࢠ࣮⛣ື㔞ࡢ࿘ᮇ౫Ꮡᛶ タィ࡟ࡼࡾከయ᣺ࡾᏊ࡟ෆᅾࡉࡏࡓ࢚ࢿࣝࢠ࣮⛣ືᶵᵓࡀാ࠸ࡓሙྜ㸪Ἴຊ࡟ࡼࡗ࡚ຍ᣺ࡉࢀࡓຍ᣺᣺ࡾᏊࡢ᣺ື࢚ࢿࣝࢠ࣮ࡣ㸪ཷಙ᣺ࡾᏊ࡬࡜⛣ືࡋ㸪ᐃᖖ≧ែ࡛ࡢཷಙ᣺ࡾᏊࡢ᣺ᖜࡣቑຍࡍࡿࡇ࡜ࡀண᝿ࡉࢀࡿ㸬୍⯡࡟᣺ື࢚ࢿࣝࢠ࣮ࡣ᭱኱᣺ᖜࡢ஧஌࡟ẚ౛ࡍࡿࡇ࡜࠿ࡽ㸪ࡇࢀࡣ࢚ࢿࣝࢠ࣮⛣ື㔞ࢆ⾲ࡍࡶࡢ࡜⪃࠼ࡽࢀࡿ㸬ࡑࡇ࡛ຍ᣺࡟ࡼࡾᐃᖖ≧ែ࡟ᐉࡋࡓᚋࡢཷಙ᣺ࡾᏊࡢ᣺ᖜ࡜㸪㐀ἼࡉࢀࡓἼࡢ࿘ᮇ࡜ࡢ㛵ಀ࡟ࡘ࠸࡚ㄪ࡭࡚ࡳࡓ㸦ᅗ㸱㸧㸬 ᅗ㸱࡟♧ࡍࡼ࠺࡟㸪ཷಙ᣺ࡾᏊࡢ᣺ᖜࡣ㸪Ἴࡢ࿘ᮇࡀ 1.3s ࡢሙྜ࡜ 2.3s ࡢሙྜ࡟࠾࠸࡚᭱኱್ࢆ♧ࡋࡓ㸬ཷಙ᣺ࡾᏊࡢᅛ᭷࿘ᮇࡣ 2.5s ࡛࠶ࡿࡇ࡜࠿ࡽ㸪ᚋ⪅ࡣඹ᣺࿘Ἴᩘ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࡀ㸪๓⪅ࡢ᮲௳ࡣࡑࡢ༙ศ࡛࠶
ࡾ㸪ู࡞ᶵᵓࡀാ࠸࡚࠸ࡿࡇ࡜ࡀண᝿ࡉࢀࡓ㸬ඹ᣺࿘Ἴᩘ࡜ຍ᣺࿘Ἴᩘࡀࡎࢀࡓཎᅉࡣ㸪ከయ᣺ࡾᏊࡢ㐃ᡂ᣺ື࡟ࡼࡿᙳ㡪࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿ㸬
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ழඹჺ࿧

Fig.3 Relation between wave period and amplitude of energy-received pendulum
3࣭2 Grover ࢔ࣝࢦࣜࢬ࣒࡟ࡼࡿ࢚ࢿࣝࢠ࣮⛣ືᶵᵓ๓⠇࡛♧ࡉࢀࡓ᣺ࡾᏊ㛫ࡢ࢚ࢿࣝࢠ࣮⛣ືࡢ⌧㇟ࢆ Grover ࢔ࣝࢦࣜࢬ࣒࡟ࡼࡿ࢚ࢿࣝࢠ࣮⛣ືᶵᵓ࡜ࡋ࡚ㄝ
᫂ࢆヨࡳࡿ(7)(9)㸬࠸ࡲ㸪௨ୗ࡟♧ࡍࡼ࠺࡞ከయ᣺ࡾᏊ࠿ࡽ࡞ࡿ᣺ື⣔ࢆ⪃࠼ࡿ㸬᣺ࡾᏊࡢ᣺ᖜࡣ༑ศ࡟ᑠࡉ࠸ࡶࡢ࡜ࡋ㸪⥺ᙧ㏆ఝࡀᡂࡾ❧ࡘࡶࡢ࡜ࡍࡿ㸬ࡇࡢ⣔࡟࠾࠸࡚ࡣ㸪୍ࡘࡢ኱᣺ࡾᏊࡀቨ࠿ࡽྞࡿࡉࢀ࡚࠾ࡾ㸪ࡇࢀ࡟஧ࡘࡢᑠ᣺ࡾᏊࡀࡘ࡞ࡀࡗ࡚࠸ࡿࡶࡢ࡜ࡍࡿ㸬኱᣺ࡾᏊࡢ㉁㔞ࢆ M㸪᯶ࡢ㛗ࡉࢆ L ࡜ࡋ㸪୍ࡘ┠ࡢᑠ᣺ࡾᏊࡢ㉁㔞
ࢆ m1㸪᯶ࡢ㛗ࡉࢆ l1㸪஧ࡘ┠ࡢᑠ᣺ࡾᏊࡢ㉁㔞ࢆ m2㸪᯶ࡢ㛗ࡉࢆ l2 ࡜ࡍࡿ㸬࠸ࡲ m1 ࡀ m2 ࡼࡾࡶ༑ศ࡟኱ࡁ࠸ሙྜ㸪ᑠ᣺ࡾᏊࡢ඲యࡢ㔜ᚰࡣ୍ࡘ┠ࡢᑠ᣺ࡾᏊ࡟኱ࡁࡃ౫Ꮡࡋ㸪஧ࡘ┠ࡢᑠ᣺ࡾᏊࡢኚ໬࡟ᑐࡋ࡚࠶ࡲࡾᙳ㡪ࢆཷࡅ࡞࠸㸬ࡑࡢࡓࡵ㸪୍ࡘ┠ࡢᑠ᣺ࡾᏊࡢゅ᣺ືᩘȰt ࢆ⪃៖ࡍࡿࡇ࡜࡛㸪ᑠ᣺ࡾᏊࡢ඲యࡢ㔜ᚰ࡜኱᣺ࡾᏊ࡜࠿ࡽ࡞ࡿ஧య᣺ື⣔ࡢ㐃ᡂゅ᣺ືᩘ࡛࠶ࡿȰ+࡜Ȱ-ࡢ㏆ఝ್ࡀᐃ⩏࡛ࡁࡿ㸬࠸ࡲ኱᣺ࡾᏊࢆ௨ୗࡢᘧࡢࡼ࠺࡟タィࡍࡿࡇ࡜࡛㸪㐃ᡂゅ᣺ືᩘࡣࡑࢀࡒࢀ㸪Ȱ+=(p+1/2) Ȱt㸪Ȱ-=Ȱt/2 ࡜࡞ࡿ㸬ࡇࡇ࡛ p ࡣᩚᩘ࡛࠶ࡿࡇ࡜࠿ࡽ㸪ࡇࡢከయ᣺ື⣔඲య࡟ࡣෆ㒊ඹ᣺ࡀ⏕ࡌࡿ㸬 ࠸ࡲ㸪୍ࡘ┠ࡢᑠ᣺ࡾᏊ࡜ẚ࡭࡚㉁㔞ࡀᑠࡉ࡞஧ࡘ┠ࡢᑠ᣺ࡾᏊࡢゅ᣺ືᩘȰ¶ࢆ㸪㐃ᡂ᣺ືࡢᅛ᭷࿘ᮇ࡛࠶
ࡿȰ ȰW ࡟㏆࡙ࡅࡿࡶࡢ࡜ࡍࡿ㸬ࡍࡿ࡜୍ࡘࡢ኱᣺ࡾᏊ࡜୍ࡘ┠ࡢᑠ᣺ࡾᏊ࠿ࡽ࡞ࡿ㐃ᡂ᣺ືࡢ࠺ࡕࡢప࠸࿘
Ἴᩘࡢ࢚ࢿࣝࢠ࣮ࡀ㸪஧ࡘ┠ࡢᑠ᣺ࡾᏊࡢゅ᣺ືᩘ࡜ඹ᣺ࡋ࡚㸪஧ࡘ┠ࡢᑠ᣺ࡾᏊ࡬࡜࢚ࢿࣝࢠ࣮ࡀὶࢀ࡚࠸ࡃࡇ࡜ࡀண᝿ࡉࢀࡿ㸬ࡲࡓ୍ࡘ┠ࡢᑠ᣺ࡾᏊࡀእ㒊࠿ࡽຍ᣺ࡉࢀࡓሙྜ㸪ࡑࡢ࢚ࢿࣝࢠ࣮ࡢ୍㒊ࡣඛ࡯࡝ࡢ㐃ᡂ᣺ື࡬࡜ὶࢀ㎸ࡴ㸬ࡼࡗ࡚㸪஧ࡘ┠ࡢᑠ᣺ࡾᏊࡢゅ᣺ືᩘࢆȰ ȰW ࡟㏆࡙ࡅࡓሙྜ㸪እ㒊࠿ࡽࡢຍ᣺࢚ࢿࣝࢠ࣮ࡀ஧ࡘ┠ࡢᑠ᣺ࡾᏊ࡬࡜ὶࢀ㎸ࡴࡇ࡜ࡀศ࠿ࡿ㸬 ௒ᅇࡢሙྜ㸪㉁㔞ࡢ኱ࡁ࡞୍ࡘ┠ࡢᑠ᣺ࡾᏊࡣຍ᣺᣺ࡾᏊ࡛࠶ࡾ㸪Ἴ࠿ࡽຍ᣺ࢆཷࡅࡿ㸬୍᪉㸪㉁㔞ࡢᑠࡉ࡞஧ࡘ┠ࡢᑠ᣺ࡾᏊࡣཷಙ᣺ࡾᏊ࡛࠶ࡾ㸪ゅ᣺ືᩘࢆຍ᣺᣺ࡾᏊࡢ༙ศ࡟㏆࡙ࡅࡿࡇ࡜࡛㸪࢚ࢿࣝࢠ࣮⛣ືࡀⓎ⏕ࡋࡓࡇ࡜ࡀศ࠿ࡿ㸬୍⯡࡟ࡇ࠺ࡋࡓᅛ᭷᣺ືࡀ༙ศ࡜࡞ࡿ᣺ືᏊ࡬ࡢ࢚ࢿࣝࢠ࣮⛣ືࡢ⌧㇟ࡣ㸪࣮࢜ࢺࣃ࣓ࣛࢺࣜࢵࢡඹ᣺  ࡜ࡋ࡚▱ࡽࢀࡿࡀ㸪ࡇࢀࡣ *URYHU ࢔ࣝࢦࣜࢬ࣒࡟ࡼࡿ࢚ࢿࣝࢠ࣮⛣ືᶵᵓ࡜ࡋ࡚ࡶㄝ࡛᫂ࡁࡿࡇ࡜ࡀศ࠿ࡿ㸬3࣭3 ཷಙ᣺ࡾᏊࢆ⏝࠸ࡓⓎ㟁 ௨ୖࡢࡼ࠺࡟ཷಙ᣺ࡾᏊࡢᅛ᭷࿘ᮇࢆຍ᣺᣺ࡾᏊࡢಸ࡜ࡋ㸪᥋⥆᣺ࡾᏊࡢᅛ᭷࿘ᮇࢆຍ᣺᣺ࡾᏊࡼࡾࡶ༑ศ࡟ᑠࡉࡃࡍࡿࡇ࡜࡛㸪ຍ᣺᣺ࡾᏊ࠿ࡽཷಙ᣺ࡾᏊ࡬࡜࢚ࢿࣝࢠ࣮⛣ືࡀ࡛ࡁࡿከయ᣺ື⣔ࡀタィ࡛ࡁࡿࡇ࡜ࡀศ࠿ࡿ㸬୍⯡࡟Ἴຊࢆཷࡅࡿཷಙ᣺ࡾᏊࡣ㸪ኳೃ࡟ࡼࡾ࢚ࢿࣝࢠ࣮ᕪࡢ኱ࡁ࡞ຍ᣺ࢆཷࡅ㸪ࡲࡓ᣺ືᩘࡀ୍ᐃ࡛ࡣ࡞࠸ࡇ࡜࠿ࡽ㸪ࡇࢀ࡟┤᥋Ⓨ㟁ᶵࢆྲྀࡿࡘࡅࡿࡇ࡜ࡣ㸪ᶵჾࡢᨾ㞀ࡸⓎ㟁ࡍࡿ㟁Ẽࡢ㉁ࢆపୗࡉࡏࡿࡇ࡜࡟⧅ࡀࡿ㸬୍᪉㸪Ⓨ㟁ᶵࢆཷಙ᣺ࡾᏊ࡟᥋⥆ࡉࡏࡿࡇ࡜࡛㸪୍ᐃࡢ࢚ࢿࣝࢠ࣮ࢆἼຊ࠿ࡽ⛣ືࡉࡏ࡞ࡀࡽ㸪࿘Ἴᩘࢆ኱ࡁࡃኚ໬ࡉࡏࡿࡇ࡜ࡢ࡞࠸㟁ຊࢆⓎ㟁࡛ࡁࡿྍ⬟ᛶࡀ࠶ࡿࡇ࡜ࡀศ࠿ࡿ㸬ഽൌచɤાɬᅙȞȹʀʥ˃ʆĜୠෂ࡙৭Ɉ༜ᆵཡ๝ɒɈܾᅙɈ૚əĪ༜Ɉୈࡖɂʀʥ˃ʆିఒచɤાɈୈࡖɈ࠲बī ௒ᅇࡢᐇ㦂࡛ࡣ㸪㐀ἼᶵࡢἼࡢ㐠ືࡀ୺࡜ࡋ࡚ୖୗ᪉ྥ࡛࠶ࡗࡓࡇ࡜࠿ࡽ㸪᣺ࡾᏊ࡟኱ࡁ࡞࢚ࢿࣝࢠ࣮ࢆ୚࠼ࡿࡇ࡜ࡣ㞴ࡋࡃ㸪኱ࡁ࡞Ⓨ㟁ࢆほ ࡍࡿࡇ࡜ࡣ࡛ࡁ࡞࠿ࡗࡓ㸬ࡇࡢከయ᣺ࡾᏊ⿦⨨ࢆᾏᓊ⥺ࡢỈᖹ᪉ྥࡢἼࡢືࡁ࡟㐺ᛂࡍࢀࡤ㸪ࡉࡽ࡟ᚓࡽࢀࡿ࢚ࢿࣝࢠ࣮ࡣ኱ࡁࡃ࡞ࡿࡶࡢ࡜ண᝿ࡉࢀࡿࡀ㸪௒ᅇࡣࡑࡢྍ⬟ᛶࢆ♧ࡍࡇ࡜࡛⤖ㄽ࡜ࡋࡓ࠸㸬ࡲࡓ௒ᅇᥦ᱌ࡋࡓከయ᣺ື⣔ࡣ㸪᥋⥆᣺ࡾᏊ࡟ከᩘࡢຍ᣺᣺ࡾᏊࢆࡘ࡞ࡄࡇ࡜࡛㸪ࡼࡾᗈ⠊ᅖࡢἼຊ࢚ࢿࣝࢠ࣮ࢆ୍࠿ᡤࡢཷಙ᣺ࡾᏊ࡟㞟୰ࡉࡏࡿࡇ࡜ࡀ࡛ࡁࡿࡶࡢ࡜ᮇᚅࡉࢀࡿࡀ㸪ᶵᲔⓗ࡞ࢩࢫࢸ࣒࡛࠶ࡿࡓࡵ㸪Ἴᾉࡢ≧ἣ࡟ࡼࡗ࡚ࡣᙉᗘࡀಖ࡚࡞࠸࡞࡝ࡢၥ㢟ࡀ࠶ࡾ㸪ࡉࡽ࡞ࡿ࢔࢖ࢹ࢕࢔ࢆᚲせ࡜ࡍࡿࡶࡢ࡜⪃࠼ࡽࢀࡓ㸬
4. ⤖   ㄒከయ᣺ࡾᏊ࡟࠾ࡅࡿ᣺ືᏊ㛫ࡢ࢚ࢿࣝࢠ࣮⛣ືᶵᵓࢆ⏝࠸ࡿࡇ࡜࡛㸪Ἴຊࢆཷࡅࡿຍ᣺᣺ࡾᏊ࠿ࡽ㸪⮬⏤࡟᣺ືࡍࡿཷಙ᣺ືᏊ࡬㸪᣺ື࢚ࢿࣝࢠ࣮ࡀὶࢀࡿࡇ࡜ࢆᐇ㦂࡟ࡼࡗ࡚☜࠿ࡵࡓ㸬ࡑࡢ⤖ᯝ㸪Ἴࡢ࿘ᮇࡢಸࡢᅛ᭷࿘ᮇࢆᣢࡘཷಙ᣺ࡾᏊࢆタィࡍࡿࡇ࡜࡛㸪ࡼࡾຠ⋡ⓗ࡟࢚ࢿࣝࢠ࣮ὶࢀࡀ⏕ࡌࡿᵝᏊࢆ☜ㄆࡋࡓ㸬ㅰ   ㎡ᮏ◊✲ࢆᐇ᪋ࡍࡿ࡟࠶ࡓࡾ㸪బ㈡኱Ꮫᾏὒ࢚ࢿࣝࢠ࣮◊✲ࢭࣥࢱ࣮㸪ᾏὒὶయ࢚ࢿࣝࢠ࣮ศ㔝ࡢỌ⏣ಟ୍ᩍᤵ㸪௒஭ᗣ㈗෸ᩍᤵ㸪ᯇỌᢏᐁ࡟ࡣ኱ኚࡈᑾຊࢆ࠸ࡓࡔࡁࡲࡋࡓ㸬グࡋ࡚ឤㅰ࠸ࡓࡋࡲࡍ㸬ᩥ   ⊩(1) Ώ㒊ᐩ἞㸪ᐇ⏝࡟ྥ࠿࠺ἼຊⓎ㟁㸪ࣃ࣮࣡♫ (2009).
(2) Ώ㒊ᐩ἞㸪͆Ἴᾉ࢚ࢿࣝࢠ࣮ࡢ฼⏝͇㸪⢭ᐦᶵᲔ Vol. 50, No. 7 (1984), pp. 1166-1172.
(3) Imai, Y., Nagata, S. Toyota, K., Murakami, T. and Setoguchi, T., “Conversion Efficiency of Floating Pendulum Wave Energy
Converter in 2D Regular Waves”, International Symposium on Marine and Offshore Renewable Energy (2013).
(4) 㧗⏣᐀୍ᮁᑠ➉ⱱኵ㕥ᮌὈஅ୍͆᣺ືᏊ࡟⤖ྜࡉࢀࡓෆ㒊ඹ᣺⾪✺᣺ື⣔࡟⌧ࢀࡿ࿘ᮇⓗ࡞᏶඲ᴫ࿘ᮇ᣺ືࡢἼື࢔ࣝࢦࣜࢬ࣒࡟ࡼࡿゎᯒ͇᪥ᮏᶵᲔᏛ఍ㄽᩥ㞟 & ⦅ Vol. 77, No. 773 (2011), pp. 14-27.
(5) Grover, L. K., “Quantum Computers Can Search Arbitrarily Large Databases by a Single Query”, Physical Review Letter
Vol.79, No.23 (1997), pp. 4709-4712.
(6) Patel, A. D.: Wave Algorithm: Optimal Database Search: Wave and Catalysis, International Journal of Quantum Information
Vol.4, (2006), pp. 815-825.
(7) ෆ⏣⚽⠊㸪ᑠ➉ⱱኵ㸪㕥ᮌὈஅ, ͆Grover ࢔ࣝࢦࣜࢬ࣒࡟ࡼࡿ✵㛫ࢥࣄ࣮ࣞࣥࢺ࡞Ἴື࢚ࢿࣝࢠࡢ㞟୰͇,᪥ᮏᶵᲔ
Ꮫ఍ㄽᩥ㞟 B ⦅㸪Vol.76, No.761 (2010), pp.85-94.
(8) Shigeo Kotake, Hidenori Uchida and Yasuyuki Suzuki, “Mechanism and Efficiency of Power Generation from Accumulating
Spread-Coherent Energy -Application of Wave Algorithm-”, Proceedings of International Conference on Power Engineering(ICOPE-09), (2009).
(9) Kotake, S., Yagi, K. and Takata, S., “Optimal Sampled-Data Vibration Manipulation Function for One Mass-Spring System
Obtained from Three Vibro-Impact Oscillators under Grover Algorithm”, Proceeding of the 12th International Conference onMotion and Vibration Control (2014) in press.
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University Press (2000).

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