一角点支撑另一对边固支正交各向异性矩形薄板弯曲的辛叠加解

寇天娇,额布日力吐,阿拉坦仓

Symplectic Superposition Solution for the Bending of a Corner Point-Supported and the Other Opposite Edge Clamped Orthotropic Rectangular Thin Plate

Tianjiao Kou, Eburilitu, Alatancang

表 2 均匀荷载下一角点支撑另一对边固支正交各向异性矩形薄板的挠度和弯矩

$y = b/2$ $b/a$ $x = 0$ $x = a/4$ $x = a/2$ $x = 3a/4$ $x = a$ $1.0$ $100E_{T}h^{3}Dw/(qa^{4})$ present 4.50209 4.33322 3.83644 2.59816 0.53881 $M_y/(qa^{2})$ present -0.269027 -0.247932 -0.206159 -0.101362 0.121649 $1.2$ $100E_{T}h^{3}Dw/(qa^{4})$ present 9.67375 8.79869 7.35414 4.77077 1.11120 $M_y/(qa^{2})$ present -0.382724 -0.341621 -0.264498 -0.106729 0.173482 $1.4$ $100E_{T}h^{3}Dw/(qa^{4})$ present 18.21916 15.81380 12.62913 7.97018 2.02218 $M_y/(qa^{2})$ present -0.499650 -0.437193 -0.320878 -0.104608 0.231455 $1.6$ $100E_{T}h^{3}Dw/(qa^{4})$ present 31.03660 26.01927 20.08335 12.44326 3.35009 $M_y/(qa^{2})$ present -0.612517 -0.528390 -0.372671 -0.096795 0.293216 $1.8$ $100E_{T}h^{3}Dw/(qa^{4})$ present 48.96215 40.04606 30.15277 18.44113 5.16290 $M_y/(qa^{2})$ present -0.716491 -0.609928 -0.416522 -0.084249 0.356611