抛物线型单层柱面网壳的非线性稳定性

Nonlinear Buckling of Parabolic Single-Layer Cylindrical Reticulated Shells

对抛物线型单层柱面网壳的静力稳定性能进行了研究.比较了抛物线型单层柱面网壳与圆柱面单层柱面网壳和倒悬链线单层柱面网壳的静力稳定性能.对抛物线型单层柱面网壳进行参数分析,并对抛物线型单层柱面网壳进行结构优化.研究表明:与圆柱面网壳相比,抛物线型单层柱面网壳的极限荷载有大幅度增大;长跨比、矢跨比对网壳的极限荷载影响显著;初始几何缺陷对网壳的极限荷载有较大影响;网壳的斜杆相交角在50°左右,网壳的静力稳定性能最好;按等比数列布置拱向网格间距,比值α的取值在0.85到0.95之间时,网壳的静力稳定性能最好.

Aiming at the static stability of the parabolic single-layer cylindrical reticulated shell,the following research is conducted： the static stability of the parabolic single-layer cylindricalreticulated shell is compared with that of the single-layer cylindrical reticulated shell and theinverted catenary single-layer cylindrical reticulated shell. A large scale parameter analysis iscarried out on the parabolic cylindrical reticulated shell. A n optimized design for the parabolicsingle-layer cylindrical reticulated shell is conducted. Research shows that compared with thecylindrical reticulated shell, the ultimate load of the parabolic single-layer reticulated cylindricalshell is greatly enhanced. Rise-span ratio and length-span ratio influence the ultimate load of theshell significantly. The shell is proved to be sensitive to initial geometric imperfection. Thereexists an optimal oblique rod intersection angle of about 5 0 .under which the static stability is thebest. W h e n the grid space layout is arranged according to the geometric series and the value of theratio α is between 0. 85 and 0.95 ,the static stability of the shell is the best.