两种几何刚度矩阵(完整版)实用资料.doc

两种几何刚度矩阵（完整版）实用资料
(可以直接使用，可编辑完整版实用资料，欢迎下载）
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项）：
uxAuyAuzAθxAθyAθzAuxBuyBuzBθxBθyBθzB
MzA/l2
+MzB/l2-MyA/l2
-MyB/l2-MzA/l2
-MzB/l2MyA/l2
+MyB/l26FxB/5l1.1MyA/l
-MyB/10lMxB/lFxB/10-MzA/l2
-MzB/l2-6FxB/5l-MyA/10l
+1.1MyB/l-MxB/lFxB/10MyA/10-MyB/106FxB/5l1.1MzA/l
-MzB/10l-FxB/10MxB/lMyA/l2
+MyB/l2-6FxB/5l-MzA/10l
+1.1MzB/l-FxB/10-MxB/lMzA/10-MzB/106/5lMzA/10
+MzB/5-MyA/10
-MyB/5-1.1MyA/l
+MyB/10l-1.1MzA/l
+MzB/10l-6/5l-MzA/5
-MzB/10MyA/5
+MyB/10/10/102FxBl/15-MxB/lFxB/10-MzA/10
-MzB/5-FxBl/30MxB/2-MzAl/10
+MzBl/30MzAl/302FxBl/15-FxB/10-MxB/lMyA/10
+MyB/5-MxB/2-FxBl/30MyAl/10
-MyBl/30-MyAl/30MzA/l2
+MzB/l2-MyA/l2
-MyB/l26FxB/5lMyA/10l
-1.1MyB/lMxB/l-FxB/10-MyA/10MyB/106FxB/5lMzA/10l
-1.1MzB/lFxB/10MxB/l-MzA/10MzB/106/5lMzA/5
+MzB/10-MyA/5
-MyB/10-/10-/10(SYMMETRICAL2FxBl/15-MzBl/30-MzAl/30
+MzBl/102FxBl/15MyBl/30MyAl/30
-MyBl/102/15-/302/15表中=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项）：
uxAuyAuzAθxAθyAθzAuxBuyBuzBθxBθyBθzB
FxB/l-(BA+BB/l2-MyA/l-MzA/l-FxB/l(BA+BB/l2-MyB/l-MzB/l-BA/l-BB/l12FxBIz/Al3
+6FxB/5l1.1MyA/l
-MyB/10lMxB/l6FxBIz/Al2+FxB/10-6FxB/5l
-12FxBIz/Al3-MyA/10l
+1.1MyB/l-MxB/l6FxBIz/Al2+FxB/10MyA/10-MyB/1012FxBIy/Al3
+6FxB/5l1.1MzA/l
-MzB/10l-FxB/10
-6FxBIy/Al2MxB/l-6FxB/5l
-12FxBIy/Al3-MzA/10l
+1.1MzB/l-FxB/10
-6FxBIy/Al2-MxB/lMzA/10-MzB/1012FxBCw/Al3
+6/5lMzA/10
+MzB/5-MyA/10
-MyB/5BA/l2
+BB/l2-1.1MyA/l
+MyB/10l-1.1MzA/l
+MzB/10l-6/5l
-12FxBCw/Al3-MzA/5
-MzB/10MyA/5
+MyB/106FxBCw/Al2
+/106FxBCw/Al2
+/102FxBl/15
+4FxBIy/Al(2α-1
·MxB/2MyA/l-MxB/l6FxBIy/Al2
+FxB/10-MzA/10
-MzB/52FxBIy/Al-FxBl/30MxB/2-MzAl/10
+MzBl/30MzAl/302FxBl/15
+4FxBIz/AlMzA/l-FxB/10
-6FxBIz/Al2-MxB/lMyA/10
+MyB/5-MxB/22FxBIz/Al-FxBl/30MyAl/10
-MyBl/30-MyAl/30FxB/l-(BA+BB/l2MyB/lMzB/lBA/lBB/l12FxBIz/Al3
+6FxB/5lMyA/10l
-1.1MyB/lMxB/l-FxB/10
-6FxBIz/Al2-MyA/10MyB/1012FxBIy/Al3
+6FxB/5lMzA/10l
-1.1MzB/l6FxBIy/Al2
+FxB/10MxB/l-MzA/10MzB/1012FxBCw/Al3
+6/5lMzA/5
+MzB/10-MyA/5
-MyB/10-/10
-6FxBCw/Al2-/10
-6FxBCw/Al2(SYMMETRICAL2FxBl/15
+