型壓電纖維復合材料薄壁梁(編輯修改稿)
2025-06-20 00:21 本頁面
【文章內容簡介】 ??????????????????????????,11,013011,013011,12,012,012,110,0,13,0012,0,0,11131211)()()(2)()2()(??????????School of Aeronautical Science and Engineering, BUAA dsyNdsysAdszyAyyAdsyAyzAdsyAAzyAyAudsyAdsyNdsyzyAdsyAzyAdsyZYuAdsdsdyNdsdsdykAdsdsdyAdsdsdyAdsdsdyNQsaxsxxsxzsssxyssxsxzssxysxssaxsssxzsxysxsxzsxysxxxyxzxaxsxxxsxxxsy,0,012,0,023,0012,2,023,0012,022,0,0222,022,012,0,0,0,0,23,0,0,022,0,1200230220120)()())((2)()()2()(??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????School of Aeronautical Science and Engineering, BUAA ? ? dszNdszyyAdszAzyAdszszyuAdsdsdzNdsdsdzkAdsdsdzAdsdsdzAdsdsdzNQsaxsssxzsxysxsxzsxysxxxyxzxaxsxxxsxxxsz,0,0,0,0,23,0,0,022,0,0,0,01200230220120)2())((????????????????????????????????????????????????????dsANAyyAdsAAzyAdsAszyuAdsANAkAdsAAdsAAdsANMaxssxzsxyxsxzsxyxxxyxzxaxsxxxsxxxsx?????????????????????????????????????????????????????????????????????????22)(2)2(2))((22222,0,0,23,0,022,0,0,012232212School of Aeronautical Science and Engineering, BUAA dszNdsdsdykAdsdsdyAdsdsdyAdszNdszkAdszAdszAdsdsdyMzNMaxxxxxsxxaxxxxxsxxxxxxy??????????????????????????????????0033023013001301202100????dsyNdszkAdszAdszAdsyNdsykAdsyAdsyAdsdsdzMyNMaxxsxxsxssxxaxxxxxsxxxxxxz????????????????????????????????????0,033,023,013001301202100????即整體坐標系下的內力 應變方程為： ： ??????????????????????????????????????????????????????????????????????????????????????????????awazayaxazayaxxxxzxyxxxzxyxwzyxzyMMMMNuKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKMMMMN,,77675747372717676656463626165756554535251547464544342414373635343323132726252423221217161514131211??(27) 簡化：當薄壁梁截面正交坐標軸過截面的主慣性軸(無拉彎耦合 )，且截面形狀相對于正交軸對稱時 (無耦合翹曲 )，上式可簡化為以下形式： ??????????????????????????????????????????????????????????????????????????????????????????????awazayaxazayaxxxxzxyxxxzxyxwzyxzyMMMMNuKKKKKKKKKKKKKMMMMN,,77663655254414363325221411000000000000000000000000000000000000??dsNN axxa ??? dsyNQ saxsay ??? ,0 dszNQ saxsay ??? ,0 dsNM axsax ?????? ???? ?? 2dszNM axxay 0??? dsyNM axxaz 0???? dssNM axxaw )(????(28) 式中 ?? 1111 AK ??? 1214 2 AK ??? /4 22244 AK? ? dssyAK s 2,02222 )(??? ? ? dsszsyAK s )()( 0,01225 ???? ? dsszAK s 2,02233 )(??? ? ? dsszAK 202155 )(???? ? dssyAK 202166 )(??? ? ? dssyszAKs? ??? )()( 0,01236? ? dssAK ??? 21177 )(? dsNN axxa ???dsyNQ saxsay ??? ,0dszNQ saxsay ??? ,0 dsNM axsax ?????????? ??2 dszNM axxay 0???dsyNM axxaz 0???? dssNM axxaw )(????School of Aeronautical Science and Engineering, BUAA ? 主動薄壁梁的靜力學控制方程 (1) 主動薄壁復合材料梁的總勢能泛函為： WU ???式中 U為為應變能： ? ?? ?? ?? ??? ?? ?? ?? ???????????????????????????????????????lxxwxzzxyyxxxzzxyyxxlsxzsxyxxlxsyzsxyxslxxxyxzxxxlxxxxxsxsxxxxMMMMuNd s d xzyMd s d xz
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