集中载荷作用下双模量圆板弯曲计算

双模量圆板在集中载荷作用下发生弯曲变形时,会形成各向同性的拉伸和压缩区。因此,可把双模量圆板看成两种各向同性材料组成的层合板,采用弹性理论建立了双模量圆板在集中载荷作用下的静力平衡方程,利用此静力平衡方程确定了双模量圆板的中性面位置。在此基础上,建立了集中载荷作用下双模量圆板的弯曲微分方程,求得了圆板的挠度表达式。通过算例讨论分析了双模量对圆板弯曲变形的影响,得到了圆板材料拉压弹性模量相差较大时,其挠度计算不宜采用相同弹性模量经典薄板理论,而应该采用双模量薄板理论的结论。

Bending Calculation of Bimodulous Circular Plate under Concentrated Loads

Bimodulous circular plate could form isotropic compressive and tensile area under concentrated loads.Bimodulous circular plate was regarded as laminated plate composed by two kinds of isotropic materials.Static equilibrium equation of bimodulous circular plate under the condition of external loads was established by using elastic theory.The location of neutral plane in bimodulous circular plate was determined by the utilization of static equilibrium equation.The bending deformation differential equations of...