叠层梁层间接触压力及弯曲变形分析

Analysis on layer contact pressure and bending deformation in the laminated beam

有关文献研究叠层梁弯曲变形时指出,在不考虑剪切变形影响的条件下,采用共同曲率假设求出的叠层梁层间接触压力,仅存在于外载荷作用处的梁段,且只有考虑剪切变形的影响时才能改变。基于上述情形,采用材料力学方法研究了叠层梁层间接触压力及弯曲变形问题,推导出了层间接触压力公式及挠曲线表达式。结果表明:叠层梁弯曲变形是非线性问题,仅有共同的曲率中心,不存在共同曲率;由于叠层梁有共同的曲率中心,若不考虑剪切变形影响,则在外力作用下,叠层梁变形时所有梁段层间都存在接触压力。

In the related literature about bending deformation of laminated beam,when the common curvatureassumption is used to calculate layer contact pressure of the laminated beam without considering the sheardeformation,only the beam segment under the outer loads bears contact pressure and the remaining beam segmentshave no contact pressure,and this situation will not change unless considering shear deformation.For these reasons,the layer contact pressure and bending deformation in the laminated beam are researched by using the materialsmechanics method,and the expressions of the layer contact pressure and deflection curve in the laminated beam arededuced.The results show that the bending deformation in the laminated beam is nonlinear which have the commoncurvature center but no common curvature.Because the laminated beam has a common curvature center,and withoutconsidering the shear deformation,all beam segments in the laminated beam bear contact pressure when thedeformation of beam occurs under external force.