Assessment of zigzag theory for static loading, buckling, free and forced response of composite and sandwich beams
Assessment of zigzag theory for static loading, buckling, free and forced response of composite and sandwich beams
复制标题
DOI：
10.1016/j.compstruct.2003.08.013
复制
发表时间：
2004-06
影响因子：
6.3
通讯作者：
S. Kapuria;P. C. Dumir;N. Jain
中科院分区：
文献类型：
--
作者：
S. Kapuria;P. C. Dumir;N. Jain
通过对简支梁的解析解与精确的二维弹性解的比较，对一维叠层梁的有效之字形理论进行了评估，包括静态贴片载荷、固有频率、正弦纵向变化的横向简谐载荷以及轴向载荷下的屈曲。高度不均匀试验梁、对称组合梁、反对称组合梁和夹层梁的这些结果也与一阶（FSDT）和三阶（TOT）剪切变形理论进行了比较。层压板铺层和厚度跨度比的精度的影响进行了评估。锯齿形理论比TOT和FSDT产生更精确的结果。
An efficient zigzag one-dimensional (1D) theory of laminated beams is assessed by comparison of analytical solutions of simply supported beam with exact 2D elasticity solutions for static patch load, natural frequencies, harmonic transverse load with sinusoidal longitudinal variation and buckling under axial load. These results for a highly inhomogeneous test beam, symmetric composite beam, anti-symmetric composite beam and sandwich beam are also compared with first order (FSDT) and third order (TOT) shear deformation theories. The effect of the laminate lay-up and the thickness-to-span ratio on the accuracy is assessed. The zigzag theory yields much more accurate results than the TOT and FSDT.