Métodos para o monitoramento da integridade de estruturas baseados em ondas de Lamb com arranjos multissensores

                 

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Œ ‹ ‘ ‹ ‰  – “   Š  Œ — “ “˜   — — • ŠŠ  ’ —   › ›‹ • ¦“ – ž ⠘ – –•  ™  — “ ˜ ‹ –    ’ –“• Œ  Œ  á “˜  ’ “  Š’ ‹ “  ’ ‹ ¦ —  ‘ ‘ • ’ “á Œ •  “  “ –  —  ’  ‘ — ‘   Š“ ‹ ’ —  ’ “˜  ‹ Š  ‹ –  › ‘ ‹ ’ “  ’ ‹ ’ —   ¦‹ ’ ’ ’ ‰ ‹’ Œ  Š  ‡ ’ “ ’ ‰ — ‹ “ ‹ –“Š   ˜ — › ‹ ¦• Š  – ž ˆ ¦“˜  • ‰ ˜ “˜  Š  ‹ Š  –  ‡  Š ‹ ¦ Õ  Š 㠖 “˜ ‹ “ –˜  Õ ‹   ¦— ‹ “  ’ –  › “  — ˜ ’ £ •  – • –  Œ › Š ‘  ’  “  Š  ’ ‰ “˜   ’ “  ‰ Š  “á  › –“Š• — “• Š  – š “˜  Š   – –“  ¦¦ ‹ ’   Œ “  Œ  ‡  ¦  ‘  “˜  Œ – “˜ ‹“  –“ ‹  ¦  –˜ “˜  –“Š ‹ “  ‰ á ‹ Œ   “  Œ  ’ “˜    –  “   ’  ’ ‰  › –  ’ –  Š – ‹ ’ Œ ‹ — “• ‹ “  Š – š “˜   Š  —  – –  ’ ‰ “  —˜ ’  £ •  – • –  Œ  ’ “˜  ‘  ‹ –• Š  Œ – ‰ ’ ‹ ¦– š “˜   ‹ Š ‹‘  “ Š – “     © “Š ‹ — “  Œ ›Š  ‘ “˜   Š  —  – –  Œ – ‰ ’ ‹ ¦– ‹ ’ Œ ˜  Õ “  ‘ Š ‰  “˜  –   ‹Š ‹ ‘  “  Š – “  ’ — Š  ‹ –  “˜   ›› —  ’ —á  › “˜  –  –á –“ ‘ – ž ⠘ – Õ  Šã  Š    –  – ‘  “˜  Œ – › Š ‘  ’ “  Š ’ ‰ “˜  ’ “  ‰ Š “á  › ‘  — ˜ ‹’ — ‹ ¦ –“Š• —“• Š  –  ‹ –  Œ  ’ “˜   Š   ‹ ‰ ‹“  ’  › Ô ‹ ‘  Õ ‹ ‡  – ‹ ’ Œ  ’ “˜  ›• –  ’  › “˜   ‹ Š ‹‘  “ Š –  © “Š ‹ —“  Œ ›Š  ‘ “˜  – ‰ ’ ‹ ¦–  Š  —  – –  Œ  á Œ – —Š  “  Õ ‹ ‡  ¦ “ “Š ‹ ’ – › Š‘ ‹ ’ Œ ¯  ¦ Š “ “Š ‹’ – › Š ‘ ž ä  Š “˜  –  • Š  –  š ‹ ¦• ‘  ’ • ‘ –“Š• — “• Š  – ¦  㠍   ‹ ‘ – ‹ ’ Œ  ¦‹ “  – Õ  Š  ‹ Œ   “  Œ › Š “˜  –“• Œ á ‹’ Œ ‡ ‹ ¦  Œ ‹ “   ’  › “˜  –  ‘  “˜  Œ – š • –  ’ ‰ –  ‡  Š ‹ ¦ ‹Š Š ‹ ’ ‰  ‘  ’ “ –  ›    ¢   ¦ — “Š  — – ’ –  Š – ž Ÿ “• Œ  – “   Š  Œ — “ “˜  ’ ›¦•  ’ —   › ‹ —Š ‹ —ã ‹ ’ Œ “˜  Œ –  Š –  ’  ’ Õ ‹ ‡   Š   ‹ ‰ ‹ “  ’ Õ  Š    Š › Š‘  Œ • – ’ ‰ – ‰ ’ ‹ ¦–   “ ‹ ’  Œ ›Š  ‘ “˜  –  — “Š ‹ ¦  ¦ ‘ ’ “ ‘  Œ  ¦– ž ⠘   ››  — “  ‡ ’  – –  › “˜   Š    –  Œ ‘ “˜  Œ – ˜ ‹ –    ’ “  –“  Œ “˜ Š  • ‰ ˜  ©  Š ‘  ’ “ ‹ ¦ Š  –• ¦“ – ž ⠘  “  — ˜ ’ £ •  • –  Œ ’ “˜ – Õ  Š 㠋 ‘ – “  —  ’ –“Š • —“ ‹ ¦ Õ —  –“ ‹’ Œ ‰   Œ   Š ›  Š ‘ ‹ ’ —   ‘   Œ Œ  Œ –á –“  ‘ “  Œ  “  — “ š ¦ — ‹ ¦  ¢  ‹ ’ Œ ‹ – –  – – “˜  Œ ‹ ‘ ‹ ‰  –  ‡  Š  “á ž å »æ ç ´ ¿ º ¼ Ù Û ¾ Á Ü Ý ¾ Ä »¼ à  » ¾ ÇÈÂ Ã Ý ¾ Ä » Ç» Èà ¹ ½» Þ ´ » Ç» µ È¿ ½µ È¿ ¾ · ¼ º À µ » ¿ ¼ à º ¾ Ⱦ à À ¼ ½´ · É © ‡

ä ‰ • Š ‹  ž è Ö ¦‹ — ‹ —  ‘  –  – –• Š ‹  ˜ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä ‰ • Š ‹  ž è ¨  Œ  – Œ   Š   ‹ ‰ ‹ Ž    ‹é – ‘ ± “Š —    é ‹’ “ – – ‘ ±“Š —  ëŠ  Š  Œ • ¢ Œ  Œ  ì ‹   ¥ • Š ‰ • “ • š     é žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä ‰ • Š ‹  ž è ˆ ‘  ¦“• Œ  Œ  – ‘  Œ  – ˆ í  Ÿ í  ‘ ›• ’ Ž    Œ ‹ ›Š  £ • œ ’ — ‹ Œ  – ’ ‹ ¦ Œ  © — “ ‹ Ž    ‡ ‹ Š  ‹ ’ Œ  Œ    ã ¯ ¢ ‹ î   ã ¯ ¢ —  ‘  ‹ – –  Œ    ã ¯ ¢  ‹ Š ‹ • ‘ ‹  ¦‹ — ‹ Œ  ‹ ¦• ‘ §’       è â  —  ‘  –  – –• Š ‹ Œ   š î ‘ ‘ ëŠ   Š  Œ • ¢  Œ  Œ  Ÿ ‹ ’ “  ’   “ ‹ ¦žš    î é žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä ‰ • Š ‹  žê è Ÿ ’ ‹ ¦æ ï ’    ’ “  © ð  š ‘ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž  ê ä ‰ • Š ‹  ž è ñ • Š ‡ ‹ – Œ  Œ – Š –    Œ  ˆ ¦• ‘ §’      ò ‹é ‡  ¦ — Œ ‹ Œ  Œ  › ‹ –  ó  é ‡  ¦ — Œ ‹ Œ  Œ  ‰ Š•   ž žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž  î ä  ‰ • Š ‹  žî è ª –  — “Š  – Œ  ›Š  £ • œ ’ —  ‹ – Œ   • ¦–  ë Œ ð  é  Œ  – –  ’ ‹  –   “  Œ  – Œ  ‘  Œ  ¦ Œ ‹ ‡  ‰ ‹ ’ ‹ –   –  Ž ¬  – Œ ð   — ‘ š Œ ð   — ‘ š Œ ð   — ‘ š Œ ð ô  — ‘  Œ ð  ‘ ž žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž  õ ä  ‰ • Š ‹  žô è ”  “ ‹ ¦˜  Œ ‹ — • Š ‡ ‹ Œ  Œ  –  Š –    Œ  ‘  Œ  ˆ í ’ ‹ Š  ‰    Œ  ›ð  šê ã ¯ ¢ ž žžžžžžžžžžžžž   ä  ‰ • Š ‹  žõ è Ÿ ‘ • ¦‹ Ž    ’ • ‘ ± Š  — ‹ Œ  ‘ ‹  ‹  – ‹ Ž  ғ  ‘    ¦• –“Š ‹ ’ Œ  ‹ Œ  –  Š –    Œ  ‘  Œ  Ÿ í  ‘ • ‘ ‹  ¦‹ — ‹ Œ  ‹ ¦• ‘ §’  —  ‘  –  – –• Š ‹ Œ   ‘ ‘  ‹ Š ‹ • ‘ – ’ ‹ ¦ Œ  © — “ ‹ Ž    —  ŠŠ  –  ’ Œ  ’ “  ‹ • ‘ ‹ – ’ ­ Œ  Œ   ¨ ¯ ¢ ™ ‹ ’  ¦‹ Œ ‹ —  ‘ ™ ‹ ’  ¦‹ Œ  ¯ ‹’ ’ ’ ‰ —  ‘ ¦‹Š ‰ • Š ‹ Œ  ê — — ¦ – ëŠ   Š  Œ • ¢ Œ  Œ  ° ¦—  ©  “ ‹ ¦žš    é žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä  ‰ • Š ‹  ž  è Ÿ  ’ ‹ ¦ ‘  Œ  Œ  ’ ‹ – Œ  –“ ® ’ —  ‹ – ò ‹ é  š  ‘ ó  é  š ‘ ó — é  š ‘ ó Œ é  š ‘ žžžžžžžžžžžžžžžžž   ä  ‰ • Š ‹  ž  è ” • Š ‹ Ž    Œ   • ¦–    –  — “Š  Œ  ›Š  £ • œ ’ —  ‹  ‹ Š ‹ –  ’ ‹  – › Š ‘ ‹ Œ  –   Š • ‘ ‹ ›• ’ Ž    –  ’  Œ ‹ ¦ —  ‘ ›ð  šê ã ¯ ¢ ™ ‹ ’  ¦‹ Œ ‹ —  ‘ ™ ‹ ’  ¦‹ Œ  ¯ ‹ ’ ’ ’ ‰ Œ  ¦‹ Š ‰ • Š ‹ ò ‹é “Š œ – — — ¦ – ó  é — ’ —  — — ¦ –  — é Œ  ¢ — — ¦ – ž žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä ‰ • Š ‹  ž è ” ‹ ‰ Š ‹ ‘ ‹ Œ  ‘  Œ  ¦ Œ   ¦ ‘  ’ “   –  — “Š ‹ ¦ Œ  • ‘ ‹ ‡ ‰ ‹ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä ‰ • Š ‹  ž  è ñ  ’ Œ Ž ¬  – Œ  —  ’ “  Š’  Œ ‹  ¦‹ — ‹ Œ  Ô  ‡ á žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä  ‰ • Š ‹  ž è ö ¦• –“Š ‹ Ž    Œ ‹ – Œ ‘  ’ – ¬  – Œ ‹  ¦‹ — ‹  Œ ‹ “Š  ’ — ‹ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž  î ä ‰ • Š ‹  ž ê è ì ‹’ —  Œ  › ¦“Š  – Œ  ‹ ’ Ì ¦–   ‹ Š ‹  ’ § ‡  – Œ  Œ  —  ‘   – Ž    žžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   © ‡ 

Õ ‹ ‡  ¦ “ Œ  – — Š  “ ‹  ‹ Š ‹ ‹ – Õ ‹ ‡  ¦ “ ‘    Œ    š ¨ á Š Œ  – — Š  “ ‹  Ÿ á ‘ ¦“   žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä ‰ • Š ‹  ž ô è ñ   ›—  ’ “  – Œ  Œ  “‹ ¦˜  Œ  ’ § ‡  ¦ î Œ ‹ “Š ‹ ’ – ›  Š ‘ ‹ Œ ‹ Õ ‹ ‡  ¦ “ Œ – — Š  “ ‹ —  ‘ Õ ‹ ‡  ¦ “ ‘    Ÿ á ‘ ¦“   žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä  ‰ • Š ‹  ž  è Ÿ  ’ ‹  – Œ ‹  Š   ‹ ‰ ‹ Ž    Œ ‹ –  ’ Œ ‹ – Œ  Ô ‹ ‘   ‹ Š ‹ ‹ – ‡  ‰ ‹ – –  ‘ “Š  ’ — ‹  —  ‘ ‹ “Š  ’ — ‹ ’ ‹ –   –  Ž ¬  –  š ‘ š  š ‘   š ‘ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž  î ä  ‰ • Š ‹  ž è ª ’ “Š    ‹ Œ  Ÿ ˜ ‹ ’ ’  ’  ‹ Š ‹ ‹é ‡  ‰ ‹ –  ‘ “Š  ’ — ‹   é ‡  ‰ ‹ —  ‘ “Š  ’ — ‹ ’ ‹   –  Ž     š ‘ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž  ô ä ‰ • Š ‹  ž è ñ   ›—  ’ “  – Œ  Œ  “ ‹ ¦˜  Œ  “  Š —  Š  ’ § ‡  ¦ Œ ‹ â ° ” • – ‹ ’ Œ  ‹ Õ ‹ ‡  ¦ “ ‘    Œ     ‹ Š ‹ ‹ – ‡ ‰ ‹ – –  ‘ “Š ’ — ‹  —  ‘ ‹ “Š ’ — ‹ ’ ‹ –   – Ž ¬  –  š ‘ š  š ‘   š ‘ žžžžžžžžžžžžžžžžžž  ô ä ‰ • Š ‹  ž è ª ’ ‡  ¦   Œ  – —   ›— ’ “  – Œ  Œ  “ ‹ ¦˜  Œ  “  Š —  Š  ’ § ‡  ¦ Œ ‹ â ° ” • – ‹ ’ Œ  ‹ Õ ‹ ‡  ¦ “ ‘    Œ     ‹ Š ‹ ‹ – ‡  ‰ ‹ – –  ‘ “Š  ’ — ‹  —  ‘ ‹ “Š  ’ — ‹ ’ ‹ –   –  Ž ¬  –  š ‘ š  š ‘   š ‘ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž  õ ä ‰ • Š ‹  žê è ª – £ •  ‘ ‹ Œ ‹  ¦‹ — ‹ ‘  Œ  ¦‹ Œ ‹  ‹Š ‹   –“• Œ  Œ ‹ ‡  ¦ — Œ ‹ Œ  Œ  – ’ ‹ ¦žžžžžžžžžžžžžžžžžžžž ê  ä ‰ • Š ‹  ž è Ÿ ’ ‹ – Œ  ‘  Œ  ¦ Ÿ ª ¨ Œ ‹  ¦‹ — ‹ §’ “  ‰ Š ‹  ‹ Š ‹ ‹ – Œ –“ ® ’ — ‹ –  š  ‘ š  š ‘  š ‘   š ‘ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž ê  ä  ‰ • Š ‹  žî è ª ’ “Š    ‹ Œ  Ÿ ˜ ‹ ’ ’  ’ Œ  – —   ›  —   ’ “  – Œ ‹ â ° ” Œ  –  ’ ‹ ¦  ‹ Š ‹ ‹ Œ  –“ ® ’ —  ‹  š ‘ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž ê  ä  ‰ • Š ‹  žô è ñ   ›  —   ’ “  – Œ  Œ  “ ‹ ¦˜  Œ  ’ § ‡  ¦ “Š œ – Œ ‹ â ° ” Œ  – –  ’ ‹  – Œ  ‘  Œ  ¦ Ÿ ª ¨ Œ ‹  ¦‹ — ‹ §’ “  ‰ Š ‹  ‹ Š ‹ ‹ – Œ –“ ® ’ — ‹ –  š  ‘ š  š ‘  š ‘   š ‘ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž ê  ä ‰ • Š ‹  žõ è ª ’ ‡  ¦   Œ  – —   ›—  ’ “  – Œ  Œ  “ ‹ ¦˜  Œ  ’ § ‡  ¦ “Š œ – Œ ‹ â ° ” Œ  – – ’ ‹ – Œ  ‘  Œ  ¦ Ÿ ª ¨ Œ ‹  ¦‹ — ‹ §’ “  ‰ Š ‹  ‹ Š ‹ ‹ – Œ –“ ® ’ — ‹ –  š  ‘ š  š ‘  š ‘   š ‘ žžžžžžžžžžžžžžžžžžžžžžžž ê  ä ‰ • Š ‹  ž   Ò ñ • Š ‡ ‹ ‹™ • –“ ‹ Œ ‹ Œ ‹ Œ – “® ’ — ‹  Š   ‹ ‰ ‹ Œ ‹   ¦  ‹ —  “  Œ   ’ Œ ‹ ‡  Š –• – “  ‘   Œ   Š   ‹ ‰ ‹ Ž     ‹ Š ‹  – –  ’ ‹  – Œ  ‘  Œ  ¦ Ÿ ª ¨ Œ ‹  ¦‹ — ‹ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž ê ê ä ‰ • Š ‹  ž  è ‹ é ª – £ • ‘ ‹ Œ ‹  ¦‹ — ‹ —  ‘ ‹ “Š ’ — ‹ ’ ‹   – Ž    © ð  š ê ‘   – – ’ ‹ –   “ Œ  – Œ  ‘  Œ  ¦ Ÿ ª ¨ —  ‘ ‹ “Š ’ — ‹ ’ ‹ –   – Ž ¬  –  é © ð  š ê ‘ š —é © ð  š  ‘  Œ é © ð  š ê ‘ žžžžžžžžžž ê î ä ‰ • Š ‹  ž  è ñ   ›—  ’ “  – Œ  Œ  “ ‹ ¦˜  Œ  ’ § ‡  ¦  Œ ‹ â ° ” Œ  – – ’ ‹ – Œ  ‘  Œ  ¦ Ÿ ª ¨  ‹ Š ‹ ‹  ¦‹ — ‹ —  ‘ “Š ’ — ‹ ’ ‹ –   – Ž ¬  – ‹é © ð  š ê ‘ š  é © ð  š  ‘  — é © ð  š ê ‘ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžž ê î ©  ©

ä  ‰ • Š ‹  ž è ‹ é ª – £ •  ‘ ‹ Œ ‹  ¦‹ — ‹ ó  é —  ‘  ‹ Š ‹ Ž    Œ  –  ’ ‡  ¦   – Œ  – —   ›  —  ’ “  – Œ  Œ  “ ‹ ¦˜  Œ  ’ § ‡  ¦  Œ ‹ â ° ” Œ  – – ’ ‹ – Œ ‹  ¦‹ — ‹ §’ “  ‰ Š ‹  Œ ‹  ¦‹ — ‹ —  ‘ ‹ “Š ’ — ‹ žžžžžžžžžžžžžžžžžžžžž ê õ ä ‰ • Š ‹  ž è ¨ ± “  Œ   ‹ Š ‹  ‘  ’ “  Š ‹ ‘  ’ “  Œ ‹ ’ “  ‰ Š Œ ‹ Œ  Œ ‹ ‡ ‰ ‹ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä  ‰ • Š ‹  ž è ”  ‹ ‰ Š ‹ ‘ ‹  – £ •  ‘ ̓  —   › “  Œ ‹  ‹’ — ‹ Œ ‹  ©   Š ‘  ’ “ ‹ ¦ —  ’ –“Š • §Œ ‹  ‹ Š ‹ ‹ ’ ‹ ¦  –  Œ ‹  ’ “  ‰ Š  Œ ‹ Œ  Œ ‹ ‡  ‰ ‹ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä  ‰ • Š ‹  ž è Ö  –  —   ’ ‹ ‘  ’ “  Œ  – –  ’ –  Š  –  ‹ “• ‹ Œ  Š  –  ‹ Š ‹  ‘ ‹   ‹ ‘  ’ “  Œ  “  ‘   Œ   Š   ‹ ‰ ‹ Ž      ‘  ’ “  Š ‹ ‘  ’ “  Œ ‹ ’ “  ‰ Š Œ ‹ Œ  Œ ‹  ¦‹ — ‹ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž   ä ‰ • Š ‹  ž è ” ‹ ‰ Š ‹ ‘ ‹  ›  “  Œ ‹  ‹ ’ — ‹ Œ ‹  ©   Š ‘  ’ “ ‹ ¦ —  ’ –“Š• §Œ ‹  ‹ Š ‹ ‹ ’ ‹ ¦–  Œ ‹ ’ “  ‰ Š Œ ‹ Œ  Œ ‹  ¦‹ — ‹ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž  ê ä ‰ • Š ‹  žê è Ö Š  —  Œ ‘  ’ “   ‹ Š ‹ Œ “  — Ž     –  ¦‹ ‘  ’ “  Œ  • ‘ Œ ‹ ’  ’ ‹  ¦‹ — ‹ žžžžžžžžžžžžžžžžžžžžžžžž  î ä  ‰ • Š ‹  ž è Ö  –  —   ’ ‹ ‘ ’ “  Œ  – Œ ‹ ’  – ’ ‹  ¦‹ — ‹ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž  ô ä ‰ • Š ‹  žî è ª “ ‹  ‹ – Œ  ‘ ± “  Œ  Œ  ‘  ’ “  Š ‹ ‘  ’ “  Œ ‹ ’ “ ‰ Š Œ ‹ Œ  Œ ‹  ¦‹ — ‹ • “ ¦¢ ‹ ’ Œ  ‹ “ ± — ’ — ‹ ¹ ½Èµ Â Æ µ ¾ ȵ  žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž  õ ä ‰ • Š ‹  žô è Ö  – —  ’ ‹ ‘  ’ “  Œ  ‹ “• ‹ Œ  Š  Œ  – – ’ –  Š  –  ‹Š ‹  ‘  ’ “  Š ‹ ‘  ’ “  Œ ‹ ’ “  ‰ Š Œ ‹ Œ  Œ ‹  ¦‹ — ‹ • “ ¦¢ ‹ ’ Œ  ‹ “ ± — ’ — ‹ ¹ ½Èµ  Ƶ ¾ ȵ  žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž î  ä  ‰ • Š ‹  žõ è ä  ‰ • Š ‹  žõ è ” ‹ ’  ë” é ¦ — ‹ ¦  ¢ ‹ Œ   ’ “Š  ‹ é  ‹ “• ‹ Œ  Š   –  ’ –  Š Ÿ  ó  é  ‹ “• ‹ Œ  Š   – – ’ –  Š  – Ÿ   Ÿ  žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž î  ä  ‰ • Š ‹  ž   è Ö  –  —   ’ ‹ ‘  ’ “  Œ  – –  ’ –  Š  –  Œ  ‹ “• ‹ Œ  Š  ‹Š ‹  ‘  ’  “  Š ‹ ‘  ’ “  Œ ‹ ’ “  ‰ Š Œ ‹ Œ  Œ ‹  ¦‹ — ‹ • “ ¦¢ ‹ ’ Œ   ‹ Š Š ‹’ ™  – — Š — • ¦‹ Š  – —  ’ — œ ’ “Š —  – žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž î  ä ‰ • Š ‹  ž  è ”  ‡ –    Œ ‹ Ì Š  ‹ ‘  ’ “  Š ‹ Œ ‹  ‘ Œ ¢  – –  – Š  ‰ ¬  – žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž î  ä ‰ • Š ‹ ê ž è Ÿ ’ ‹ – ‘  Œ Œ  – Œ ‹ – ‡ ‰ ‹ – –  ‘ —  Š “   —  ‘ —  Š “  ’ ‹ –   – Ž ¬  –  š ‘   š ‘ žžžž î  ä ‰ • Š ‹ ê ž è ª ’ “Š   ‹ Œ  Ÿ ˜ ‹ ’ ’  ’ Œ  – —   ›— ’ “  – Œ ‹ â ° ”  ‹ Š ‹  – – ’ ‹ – Œ ‹ ‡ ‰ ‹ ‹ é – ‘ —  Š“    é —  ‘ —  Š “   ‘ © ð  š ‘ žžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžžž î  ä ‰ • Š ‹ ê ž è ñ   › —  ’ “  – Œ  Œ  “ ‹ ¦˜  Œ  –  ‰ • ’ Œ  ’ § ‡  ¦ Œ ‹ â ° ” —  ‘ ‹ Õ ‹ ‡  ¦“ ‘    Œ     ‹ Š ‹  – – ’ ‹ – ‘  Œ Œ  – Œ ‹ ‡ ‰ ‹ §’ “  ‰ Š ‹  —  ‘ —  Š“  ’ ‹ –   – Ž ¬  –  š ‘   š ‘ žžžžžžžžžžžžžžžžžžžž î ê © © 

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