平成 24 年度 日本大学理工学部 学術講演会論文集 B-20 ࢣ࣮ࣈࣝᵓ㐀ࡢ⾪ᧁⓗᙇຊኚືୗࡢືⓗᇶᮏᛶ≧㛵ࡍࡿᐇ㦂ⓗ◊✲ Experimental Study on Basic Dynamic Behavior Impact Characteristic of Cable Structure . ࠉ⇃ۑᆏࡲ࠸ࠉᒸ⏣❶ࠉᐑ㔛┤ஓࠉ୰す୕ࠉᩪ⸨බ⏨ *Mai Kumasaka , Akira Okada1, Naoya Miyasato1, Mitsukazu Nakanishi, Masao Saitoh2 3 Abstract : Generally, the tension structures are designed within the elastic stage, and it is rare to discuss the safety of ultimate state and the dynamic characteristics considering slackness of string over the provided load level.Therefore, the purpose of this paper is to understand the basic dynamic characteristic of a cable structure under impact of change of tensile force experimentally. ≧ែࡢᢕᥱࡀᚲせ チᐜࡋ࡚ࡶࡼ࠸ ᵓ㐀ࢩࢫࢸ࣒ࡼࡗ࡚ࡣチᐜࡋ࡚ࡶࡼ࠸ Figure 1. Design Criteria Example for Tensile Structure ືⓗእ ᶓ᪉ྥື ึᮇᙇຊ ᙇຊಖᣢ 7!7R 7 7 7 7R ↓ᛂຊ≧ែ ⦆ࡳࡢⓎ⏕ ⾪ᧁⓗ ᙇຊኚື 㐣࡞ᛂຊኚື Figure 2. Dynamic Impact of Change of Tensile Force. 䝻䞊䝗䝉䝹 䝅䞁䝤䝹 㻔䃥㻞㼙㼙㻕 䝻䞊䝗䝉䝹 䜰䜲䝪䝹䝖 䝅䝱䝑䜽䝹 䝽䜲䝲䝻䞊䝥 䃥㻞㼙㼙 ᐃჾྲྀ㒊 䜺䜲䝗⏝ 䝽䜲䝲 㻸㻩㻡㻜㻜㼙㼙 䜿䞊䝤䝹 䜽䝸䝑䝥 㻔䃥㻞㼙㼙㻕 ヨ㦂య➃㒊 䝅䝱䝑䜽䝹 㔜䜚 䜰䜲䝪䝹䝖 㔜ࡾྲྀ㒊 㼔 ⴠୗ㧗ࡉㄪ⠇ ᮰ ⦆⾪ᮦ 䕔䝃䞁䝥䝸䞁䜾࿘Ἴᩘ䚷 䚷㻞㻜㻜㻜㼗㻴㼦 䕔ヨ㦂య㛗䛥䚷䠨䠙㻡㻜㻜 Table 1. Material of specimen 㻣㽢㻣 㻿㼁㻿㻟㻜㻠 ᚄ㻌㼇䡉䡉㼉 ◚᩿Ⲵ㔜㻌㼇䡇䠪㼉 㻞 ᩿㠃✚㻌㼇䡉䡉㻌㼉 㻞 䝲䞁䜾ಀᩘ㻌㼇䠪㻛䡉䡉㻌㼉 Figure 3. Outline of Impact Experiment 㸯㸸᪥⌮ᕤ࣭ᩍဨ࣭ᘓ⠏ࠉ㸰㸸᪥ྡᩍᤵࠉ㸱㸸᪥⌮ᕤ࣭ᩍဨ࣭ᾏᘓࠉ㸲㸸᪥⌮ᕤ࣭㝔㸦๓㸧࣭ᘓ⠏ 113 ᯫᵓᏳᐃ ࢣ勖ࣈࣝ㝆అ ➃㒊㔠≀ࡢ㝆అ ୖࡆ⭷ࡢ◚᩿ ᙇຊᾘኻ 㸦㛗ᮇ チᐜኚ࣭ື 㸦㝈⏺⪏ຊタィ Ᏻ㝈⏺ ࠉ࣭ ḟタィ ᦆയ㝈⏺ 㸦 ḟタィ タィ㇟ ୰㛫ࢡࣛࣥࣉࡾ 㸦ရ☜ἲ ࢣ勖ࣈࣝ௨እࡢ㒊ᮦ㝆అ タィⲴ㔜 ᙎᛶ⠊ᅖ ࡣࡌࡵ ࠉࢣ࣮ࣈࣝᵓ㐀ࡢタィࡣḟタィࣞ࣋ࣝࡢタィⲴ㔜 ᑐࡋ࡚ࡶᙎᛶ⠊ᅖෆ࡛タィࡉࢀࡿࡇࡀ୍⯡ⓗ࡛ ࠶ࡾ⤊ᒁ⪏ຊࡢᢕᥱཬࡧᐃࡉࢀࡓⲴ㔜ࣞ࣋ࣝ௨ୖ ࡢⲴ㔜ୗ࠾ࡅࡿᯫᵓࡢ≧ែࡸᏳᛶࡘ࠸࡚ࡣㄽ ࡌࡽࢀࡿࡇࡣᑡ࡞࠸)LJ≉ከ㞷ᆅᇦ࠾࠸ ࡚ࡣᢕᥱຊࡀ㐣࡞ࡾࢡࣛࣥࣉ㔠≀ᑍἲཬࡧ ࢣ࣮ࣈࣝᚄࡀቑࡍࡿഴྥ࠶ࡿࡇࢀᑐࡋ࡚ึ ᮇᙇຊࡢపῶక࠺ᢠ࣓࢝ࢽࢬ࣒ࡢኚᙇຊᾘኻ ཬࡧࢡࣛࣥࣉ㔠≀ࡢືࡀᯫᵓཬࡰࡍᙳ㡪➼ࢆ᳨ ウࡍࡿࡇࡼࡾึᮇᙇຊཬࡧ㔠≀ࡢᢕᥱຊࡢపῶ ࡀᮇᚅࡉࢀ࡚࠸ࡿᙇຊᾘኻࡼࡿ⦆ࡳࡢⓎ⏕ࡣ㐣 ࡞ᙇຊኚືࡀ⪃࠼ࡽࢀ㸦)LJ⾪ᧁⓗ࡞ᙇຊኚື ࡼࡿᯫᵓࡢᙳ㡪>@⾪ᧁຊࡼࡿࢡࣛࣥࣉ㔠≀ࡢ ືࡀሗ࿌ࡉࢀ࡚࠸ࡿ>@≉㟼ⓗタィࡉࢀࡓᢕᥱ ຊࢆᑟධࡋ࡚ࡶືࡢᙳ㡪ࡼࡾࢡࣛࣥࣉ㔠≀ࡀ ືࡍࡿྍ⬟ᛶࡀ࠶ࡿ >@ ௨ୖࡢⅬࡽᮏ◊✲࡛ࡣ ࢣ࣮ࣈࣝࡢ⦆ࡳక࠺⾪ᧁຊࡘ࠸࡚ᐇ㦂ⓗホ౯ ࡍࡿࡇࢆ┠ⓗࡍࡿ ୍㒊ᮦ⮬⏤ⴠୗ⾪ᧁᐇ㦂 ࠉࢣ࣮ࣈࣝ㒊ᮦࡢ⾪ᧁ≉ᛶࢆᢕᥱࡍࡿࡓࡵ୍㒊ᮦࡢ ࢣ࣮ࣈࣝࢆ⏝࠸࡚⮬⏤ⴠୗ⾪ᧁヨ㦂ࢆ⾜ࡗࡓᐇ㦂 ᴫせࢆ)LJヨ㦂యᮦᩱࢆWDEOH♧ࡍ➃㒊ࡣࢩ ࣥࣈࣝࢡࣜࢵࣉࢆ⏝࠸࡚)LJE୧➃㒊ࡲ࡛ ࡢ㛗ࡉࡀPPࡢࡶࡢࢆ〇సࡋࡓ㔜ࡾࡣNJNJ ࡋࡑࢀࡒࢀࡢ⨨࢚ࢿࣝࢠ࣮PJKࡀ➼౯࡞ࡿࡼ ࠺ⴠୗ㧗ࡉKࢆㄪᩚࡋࡓヨ㦂᪉ἲࡣヨ㦂య 㔜ࡾࢆྞࡾୗࡆࡑࡢୗⴠୗ㧗ࡉㄪ⠇⏝ࡢ᮰ࢆᮏ ⨨ࡁ᮰ࡢୗࡢᯈࢆᙉไⓗᘬࡁᢤࡁ᮰ࢆ࡚ྠ ಽࡍࡇ࡛㔜ࡾࢆ⮬⏤ⴠୗࡉࡏࡿࡇ࡛ヨ㦂య⾪ ᧁⲴ㔜ࢆຍ࠼ࡓࢧࣥࣉࣜࣥࢢ࿘ἼᩘࡣN+]ࡋ ⾪ᧁຊࡀ༑ศィ ࡛ࡁࡿ࿘Ἴᩘࢆ᥇⏝ࡋࡓヨ㦂య➃ 㒊ࡢᢡࡾ㏉ࡋ㒊ศࡣ࠶ࡽࡌࡵ༳ࢆࡘࡅヨ㦂⤊ ᚋࡾࡢ ᐃࢆ⾜ࡗࡓ 平成 24 年度 日本大学理工学部 学術講演会論文集 Ⲵ㔜㼇䡇䠪㼉 㻌䕰㟼ⓗᖹᆒ◚᩿Ⲵ㔜䚷㻟㻚㻠㻝㼗㻺 table2. Parameter of Experiment 䠂 㼔㻌㼇㼙㼙㼉 㼙㼓㼔 㻖㻝㻕 㻝㻢㼗㼓㼒 㻢 㻣㻡 㻝㻞㻜㻜㼓 㻠 㻡㻜 㻤㻜㻜㼓 㻤 㻝㻜㻜 㻝㻢㻜㻜㼓 㻝㻜 㻞㻜 㻤㻜㻜㼓 㻠㻜㼗㼓㼒 㻝㻡 㻟㻜 㻝㻞㻜㻜㼓 㻞㻜 㻠㻜 㻝㻢㻜㻜㼓 ᮏ┠ N1 㻌䕧つ᱁◚᩿Ⲵ㔜䚷㻞㻚㻤㻠㼗㻺 㻖㻝㻕 ᮏ┠ N1 䛿㻘ⴠୗ㧗䛥㼔㻔㼙㼙㻕㻛ヨ㦂య㛗䛥䠄㻸㻩㻡㻜㻜㼙㼙㻕㽢㻝㻜㻜䠂䜢♧䛩㻚 ᐇ㦂⤖ᯝ 㟼ⓗヨ㦂◚᩿Ⲵ㔜ࡢẚ㍑ ࠉ࣮࣡ࣖࣟࣉࡢ㟼ⓗ◚᩿Ⲵ㔜ࡢẚ㍑ࢆ⾜࠺ࡓࡵ ࣒ࢫ࣮ࣛヨ㦂ᶵࡼࡿ㟼ⓗᘬᙇヨ㦂ࢆᮏᐇࡋࡓ )LJ㟼ⓗ◚᩿Ⲵ㔜⾪ᧁ◚᩿Ⲵ㔜ࡣ࠸ࡎࢀࡶつ ᱁◚᩿Ⲵ㔜ࡼࡾࡶ㧗࠸್ࢆ♧ࡋࡓ࡞࠾⾪ᧁᐇ㦂 ࡼࡾ◚᩿ࡋࡓⲴ㔜)LJNJIJࡶ㟼ⓗ࡞ᐇ㦂 ್㏆࠸್ࢆ♧ࡋࡓ ⴠୗ㧗ࡉ⨨࢚ࢿࣝࢠ࣮ࡼࡿ㐪࠸)LJ ࠉNJINJIඹⴠୗ㧗ࡉࡀ㧗ࡃ࡞ࡿᙇຊࡀ ࡁࡃ࡞ࡿഴྥࡀ☜ㄆࡉࢀࡓ➼౯ࡢ⨨࢚ࢿࣝࢠ࣮㔞 ࡛୧⪅ࢆࡑࢀࡒࢀẚ㍑ࡍࡿ್ࡤࡽࡘࡁࡀ⏕ࡌ࡚ ࠸ࡿࡶࡢࡢᖹᆒ್ࡣᴫࡡ㏆࠸್࡞ࡗࡓ ࠉᙎᛶࡦࡎࡳ࢚ࢿࣝࢠ࣮ࡢẚ㍑ ࠉࢣ࣮ࣈࣝᵓ㐀ࡢືⓗ࡞ᙇຊኚືࡢ್᭱ࢆ᥎ ࡍ ࡿࡓࡵࡢᇶ♏㈨ᩱࢆᚓࡿࡓࡵ⨨࢚ࢿࣝࢠ࣮ᙎ ᛶṍ࢚ࢿࣝࢠ࣮ࡢẚ㍑ࢆ⾜ࡗࡓࡇࡇ࡛ᙎᛶṍ࢚ࢿ ࣝࢠ࣮ࡢ⟬ᐃࡣḟᘧࢆ⏝࠸࡚1ࡋ࡚◚᩿ࡋࡓࡶ ࡢࢆ㝖࠸ࡓᙇຊࡢ್᭱ࢆ௦ධࡋࡓ N E A L ᮏ┠ N1 ኚ㼇㼙㼙㼉 㻜 㻡㻌 㻝㻜 㻌 㻞㻜 㻞㻡 Figure 4. Result Static Tensile Test Ⓨ⏕ᙇຊ㼇㼗㻺㼉 㻌䕰㟼ⓗᖹᆒ◚᩿Ⲵ㔜䚷㻟㻚㻠㻝㼗㻺 㻌䚷つ᱁◚᩿Ⲵ㔜䚷㻞㻚㻤㻠㼗㻺 䕱 ◚᩿ 㼙㼓㼔㻩㻤㻜㻜㼓 NJI NJI Figure 5. Comparison 㻝㻞㻜㻜㼓 㻝㻢㻜㻜㼓 NJI NJI NJI Energy with of Potential 㻟 㼇㻺䞉㼙㼙㼉 NJI Height Fall 㻟 㼁㼇㽢㻝㻜㻌㻌㻺䞉㼙㼙㼉 㻞㻡 㼁㼇㽢㻝㻜㻌㻌㻺䞉㼙㼙㼉 㻞㻡 㻞㻜 㻞㻜 㻝㻡 㻝㻡 㻝㻜 㻝㻜 㻡 㻡 㼙㼓㼔㻌㼇㽢㻝㻜㻟㻌㻺䞉㼙㼙㼉 㻜 㻜㻚㻣㻜㻌 㻜㻚㻥㻜㻌 㻝㻚㻝㻜㻌 㻝㻚㻟㻜㻌 㻝㻚㻡㻜㻌 ᙇຊ್᭱ ࣖࣥࢢಀᩘ 㠃✚ ヨ㦂య㛗ࡉ 㻝㻡 㻌 㼙㼓㼔㼇㽢㻝㻜㻟㻌㻺䞉㼙㼙㼉 㻜 㻜㻚㻣㻜㻌 㻜㻚㻥㻜㻌 㻝㻚㻝㻜㻌 㻝㻚㻟㻜㻌 㻝㻚㻡㻜㻌 NJINJI Figure 6. Comparison of Elastic Strain Energy (U) using Tensile Force with Potential Energy )LJ⤖ᯝࢆ♧ࡍᅗ୰ࡢᐇ⥺ࡣ㔜ࡾࡢ⨨࢚ࢿࣝ ࢠ࣮ࡀ࡚ᙎᛶṍ࢚ࢿࣝࢠ࣮ኚࡉࢀࡓሙྜࡢ⌮ ㄽ್ࢆ⾲ࢃࡍᅗࡼࡾᙎᛶṍ࢚ࢿࣝࢠ࣮ࡣయⓗ ⌮ㄽ್ࡼࡾࡶࡁ࠸್ࡀᚓࡽࢀ࡚࠸ࡿࡀ㔜ࡾࡢⴠୗ ࢚ࢿࣝࢠ࣮ඹࡦࡎࡳ࢚ࢿࣝࢠ࣮ࡀቑຍࡍࡿഴྥ ࡣ୍⮴ࡋ࡚࠸ࡿ ⾪ᧁἼᙧࡼࡿ⪃ᐹ ࠉWDEOH♧ࡍᐇ㦂ࣃ࣓࣮ࣛࢱࡢ࠺ࡕ௦⾲ࡋ࡚ NJI㹥ࣔࢹࣝࡢ᭱ᙇຊࡾࡢᐇ㦂⤖ᯝࢆ WDEOH♧ࡍヨ㦂ࡣᅇ⾜࠸࣮ࣟࣉ◚᩿1R 㠀◚᩿ࡢ⾪ᧁἼᙧ1Rࢆ)LJ♧ࡍ◚᩿ ࡣ࣮ࣟࣉࡀษࢀࡓ⾪ᧁ࡛ᅽ⦰ຊࡀຍࢃࡗ࡚࠸ࡿ ࣆ࣮ࢡ㏆ࡢV㛫ࢆྲྀࡾฟࡋࡾࡼࡿヲ⣽ ࡞᳨ウࢆ⾜࠺ )LJE♧ࡋࡓ㠀◚᩿Ἴᙧࡢࡾ ࡀࡁ࠸ヨ㦂య1R࡛ࡣ❧ࡕୖࡀࡾᚋᚤᑠ࡞ࡀ ࡽࡾࡀⓎ⏕ࡋ࡚࠾ࡾࡑࡢᚋࡾ㔮ྜ࠸ࢆ⧞ࡾ ㏉ࡋ࡞ࡀࡽࣆ࣮ࢡ㐩ࡋ໙㓄ࡀ⦆ࡸῶ⾶ࡍࡿᛶ ≧ࡀᢕᥱࡉࢀࡓࣆ࣮ࢡᚋࡢഴࡁࡣ࠶ࡲࡾኚࢃࡽ࡞ ࠸ 㻠㻌ᚋ䛾᳨ウ ࣭ࡦࡎࡳ㏿ᗘࡸࢣ࣮ࣈࣝᚄࡼࡿ㐪࠸ࡘ࠸࡚ヲ⣽ ᳨ウࢆ⾜࠺ 114 table 3. Results of 40kgf-1600g Model Experiment 㻌ヨ㦂య㻺㼛㻚 ᭱ᙇຊ㻌㼇㼗㻺㼉 䜚㻌㼇㼙㼙㼉 ◚᩿ 㻺㼛㻚㻝 㻟㻚㻞㻡 㻤 㻺㼛㻚㻞 㻟㻚㻞㻡 㻟 㻺㼛㻚㻟 㻟㻚㻝㻟 㻠 ◚᩿ 㻺㼛㻚㻠 㻟㻚㻟㻜 㻝 ◚᩿ 㻺㼛㻚㻡 㻟㻚㻝㻢 㻝㻚㻡 㻺㼛㻚㻢 㻟㻚㻠㻞 㻞㻚㻡 㻺㼛㻚㻣 㻟㻚㻡㻟 㻞 䈜ヨ㦂⤊ᚋ㻘䜚䛜㻝㻜㼙㼙䜢㉸䛘䛯Ⅼ䛷ヨ㦂య䜢䛧䛯㻚 Ⓨ⏕ᙇຊ㼇㼗㻺㼉 㻟㻚㻡 㻌㻟㻚㻟㻜㼗㻺 㻞㻚㻡 䜚㻝㼙㼙 Ⓨ⏕ᙇຊ㼇㼗㻺㼉 㻟㻚㻡 㻞㻚㻡 㻝㻚㻡 㻝㻚㻡 㻜㻚㻡 㻙㻜㻚㻡 㻜 ◚᩿⟠ᡤ 㻜㻚㻡 㻝 㻝㻚㻡 㻞 㻙㻝㻚㻡 㻜㻚㻡 㻜 㻞㻚㻡 㻙㻜㻚㻡 >V@ 㻜㻚㻜㻞 㻜㻚㻜㻠 㻜㻚㻜㻢 >V@ 㻙㻝㻚㻡 㼍㻕㻌㻺㼛㻚㻠㻌◚᩿䛾Ἴᙧ㻌 Ⓨ⏕ᙇຊ㼇㼗㻺㼉 㻟㻚㻡 Ⓨ⏕ᙇຊ㼇㼗㻺㼉 㻟㻚㻡 㻞㻚㻡 㻞㻚㻡 㻝㻚㻡 㻝㻚㻡 㻜㻚㻡 㻜㻚㻡 㻙㻜㻚㻡 㻜 㻙㻝㻚㻡 㻜㻚㻡 㻝 㻝㻚㻡 㻞 㻞㻚㻡 㻙㻜㻚㻡 㻜 >V@ 㻙㻝㻚㻡 㻌㻺㼛㻚㻝 㻟㻚㻞㻡㼗㻺 䜚㻤䡉䡉 㻌㻺㼛㻚㻢 㻟㻚㻠㻞㼗㻺 䜚㻞㻚㻡䡉䡉 㻜㻚㻜㻞 㻜㻚㻜㻠 㻜㻚㻜㻢⛊㛫 㻜㻚㻜㻢 >V@ 㼎㻕㻌㻺㼛㻚㻝㻘㻢㻌㠀◚᩿䛾Ἴᙧ㻌 Figure 7. Dynamic behavior of Tensile (Impact Experiment) ࠙ཧ⪃ᩥ⊩ࠚ >@Ᏻ୪ᒸ⏣ᐑ㔛ᩪ⸨㸸ࠕࢸࣥࢭࢢࣜࢵࢡ࣭ࢱ࣮࣡ࡢᙇຊᾘኻ࠾ࡅࡿືⓗᣲື㛵 ࡍࡿᇶ♏ⓗ◊✲ࡑࡢࡑࡢࡑࡢ$,-㛵ᮾ >@㉥ᫍᒸ⏣ᐑ㔛ᩪ⸨㸸ࠕࢣ࣮ࣈࣝࢡࣛࣥࣉ㔠≀㒊ࡢືࢆ⪃៖ࡋࡓࢸࣥࢭࢢࣜࢵࢡ࣭ ࢱ࣮࣡ࡢᆅ㟈ᛂ⟅ᛶ≧㛵ࡍࡿᇶ♏ⓗ◊✲ࡑࡢࡑࡢࡑࡢ$,-ᮾᾏ
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