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1、 20057 SHUILI XUEBAO 36 7 1 20057 SHUILI XUEBAO 36 7 2 21 0 )/sin()/cos(eRSReRSRrm 21 0 )/sin()/cos(eRSeRSnm )()( )0(00 stnsrr mmA 20057 SHUILI XUEBAO 36 7 3 21 2 0 2 0 0 cossin | e R s e R s a r a r a m m 33 0 2 0 2 0 2 0 2 0 1 0 1 ,1,ega R t a n t a r a r gn a r g AA 1/, 132 Rtggggdzdtdsgdv 312 )0
2、(00 )/(,zgwggtutTRwnatuuurr mA 100 01/0 001 2 Rtgij )|( 2 1 )|( 2 1 2 1 j k i l kli j kjj k ikj k ik i jjiijijij uuguguguuuugGe R u wr tR R tuw R w tu R t sts ssssss ,12 2 , 2 ,22 2 2 1 2 1 1 0 2 1 2 1 1 2 , 2 , , , ss s s RNRL s RtR tR w w R w t R t r ts 20057 SHUILI XUEBAO 36 7 4 y ww R y w R y ww
3、w y w R y w y w ww R y w R z y w z w R z R w s 1 2 1 w 1 2 1 1 1 2 2 00 0 0 2 2 2 2 2 2 2 sNssl 0 , 1 , ij iiiiijij iiii j i iii gg gg ugu ij ij ijij dsdtg g GK g Gk g E w v ijij ext R 22 2121 22 1212 22 2222 22 dsdtrr Rt R GK Rt R Eb tstsss 3 dsdtEtwwGK R w R w EbRt ssss, 2 , )(0/ b 20057 SHUILI XU
4、EBAO 36 7 5 fNfffysNysNysNysfysw T mm2121 ,),(),(),(, fNfffNsNsNswsw T mm P 2121 , qsqsqsqss T mm P 2121 1 ,)(, ff fBBB f B snsLs NsLsRRR ; f RS V ext S ext R V s ij ijR ij ij wwdvdv RKKKK SNSLRL RKK RSN 20057 SHUILI XUEBAO 36 7 6 0 detKK RS LN 22b 22mmb 20057 SHUILI XUEBAO 36 7 7 Application of mes
5、hless technique in buckling stability analysis of penstock MENG Wen-yuan1, ZHOU Jia-shou1, JI Dong2 (1.Hohai University, Nanjing210098,China; 2.Far Sighted Investment Group Co.Ltd, Beijing100031,China) Abstract: The penstock with ribs was regarded as the combination of thick curve beams and cylindri
6、cal shell. In consideration of the interaction between ribs and shell, the nonlinear geometrical equations for curve beam and 20057 SHUILI XUEBAO 36 7 8 cylindrical shell were deduced. By using the meshless technique, the displacement shape functions applied to arbitrary thin curve beam were obtaine
7、d. A set of formulations for analyzing the strength and stability of cylindrical shell with arbitrary ribs were presented. On this basis the model for calculating the buckling stability of penstocks bearing internal pressure was established according to the actual working conditions of penstocks in hydropower station. Key words: penstock; cylindrical shell; rib; buckling stability; displacement mode; meshless technique ()