用能量法研究双模量大挠度圆板的轴对称弯曲

双模量圆板在外载荷作用下发生轴对称弯曲变形时,会形成各向同性的拉伸区和压缩区.此种情况下,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外载荷作用下的静力平衡方程,利用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,采用能量法研究了双模量大挠度圆板轴对称弯曲变形问题,将该方法计算结...

Large deflection axisymmetric bending of bi-modulous circular plate with energy method

Bi-modulous circular plate could form isotropic compression and tensile area under external loads as axisymmetric bending. Then the bi-modulous circular plate was regarded as laminated plate composited of two kinds of is otropic material. Static equilibrium equation of bi-modulous circular plate under external loads was established by using elastic theory. The location of neutral plane in bi-modulous circular plate was determined by the utilization of static equilibrium equation. It was studied with energy method that the large deflection axisymmetric bending of bi-modulous circular plate. And the calculation results were compared with that obtained by finite element method, and it shows that the method above is reliable. Numerical examples show that the deflection calculation of circular plate which has larger difference between tensile elastic modulus and compressive elastic modulus may as well not apply classical elastic theory with the same elastic modulus, and should use bi-modulous thin plate theory.