两种几何刚度矩阵

1.Yeong-BinYang文章中给出的的几何刚度矩阵（推导时忽略了轴向应变中的u2项）:x,xUxA ， UA 6xA 6A uxb % / ^xB 3VB % 6；4 6；^M/12zA+M/12ZBM/12yAM/12yBM/12ZAM/12zBM/12yAM/12yB6FxQ11.1My3MyB/101MxBBlFxb/10M/12ZAM/12zB6F/1xBMA/101+1.1M/1MxB11FxB/10MyA/10MyB/106FxB/511.1MA11MB/101FxB，0MxB/1M/12yAM/12yB6F/1xBMzA/101+1.1MB/1FxB，0MxB11MzA/10MB/106k/51MA/10+M」5MA/10以51.1M/1yA+M、b/1011.1M/1ZA+MB/1016k/51M#MB/10MyQ+MyB/10k/10k/102FxB1/15MxB11FxB，0MA/10MB/5FxB1/30MxB/2MzA1/10+MB1/30MzA1/302FxB1/15FxB，0MxB11MA/10+MyB/5MxB/2FxB1/30MyA1/10MyB1/30MA1/30M/12ZA+M/12zBM/12yAM/12yB6FxB/51MA/1011.1MyB/1MxB11Fxb/10MA/10MB/106FxB/51MA/1011.1MB/1Fx310MxB11MA/10MB/106k/51MZA/5+MB/10MyQM/10k/10k/10(SYMMETRICAL)2FxB1/15MzB1/30MzA1/30+MB1/10

2FxB1/15MyBl/30MyAl/30MJ/102kl/15yBkl/302kl/15表中k=Fx(Iy+Iz)/A为Wagner系数。2.AuraConci文章中给出的完整几何刚度矩阵（推导时考虑了轴向应变中的u2项）:x,xuuue,eeuuueeee’e'xAyAzAxAyAzAxBBzBxBBzBxAxBFxB11纥BB)/l2M、/lMAFxB/l(B/BB)/12My1MBB/11BB"12FI/Al3xBz+6FxB/511.1MyA/1MB/101MB/FI/Al2xBzFx/106FxB/5112FI/Al3xBzMyA/101+1,1M/1 yB MxBBlFI/Al2xBzF/10MyA/10MyB/1012FxBIy/Al3+6FxB/511.1MA/1MB/101FxB，106I/Al2xByMxB116FxB/5112FI/Al3 xB-^i MA/101+1.1MB/1勺10FI/Al2xByMxB11MzA/10MzB/1012FxBCcJ/A3+6k/51MzA/10+"MyA/10M、J5B/12A+Bl21.1MyA/1+M/101 yB 1.1MA/1+MB/1016k/5112FxBCw/Al3M/5MB/10MyA/5+M/10 yB 6FxBCw/Al2+k/106FxBCw/Al2+k/102FxBl/15+4FBI/Al(2a1)•MxB/2MyA/lMxB/lFBI/Al2+FxB/10MzA/10M』52FxBIy/AlFxBl/30MxB/2MAl/10+MBl/30MAl/302FxBl/15+4FBI/AlMA/lFxB/10FI/Al2xBzMB"MyA/10+M、』5Mxbb22FxBIz/AlFxBl/30MyAl/10MyBl/30MAl/30Fx』BABB)/l2M、BMBB/lBB"12FI/Al3xBz+6FxB/51MyA/1011.1M/1 yB MxB11FB/10FI/Al2xBzMyA/10Mb"012FxBIy/Al3+6FxB/51MA/1011.1MB/1FBI/Al2+FxB，10MxB11M/0M/10

12FBCw//Al3+6k/51M/5+M/10MyA/5Mb"0k/106MwWAl2k/106FxbCwWAl2(SYMMETRICAL)2FxBl/15+4f,bL闵(12a)•MxB/2MBl/30MzA/30+MBl/102FB/15+4FxbI/AIMyBl/30MyAl/30MyBl/102~