中文摘要：

基于大位移，有限转动假设的小应变Euler梁理论，建立了考虑界面滑移组合梁的求积元分析的完全拉格朗日列式，并对组合梁承受横向及轴向荷载时的变形进行了计算分析。通过与现有解析解和有限元计算结果的对比验证了求积元结果的准确性和高效性。结果表明所进行的考虑界面滑移组合梁的几何非线性分析是有效的。当对精度要求不高时，可仅考虑Green应变非线性项中挠度二次项的影响。

英文摘要：

The total Lagrangian description of a quadrature element for the geometrical nonlinear analysis of composite beams with partial interaction is derived on the basis of the Euler beam theory of large displacements and moderate rotations. The deformation of composite beams under transverse and axial loading is examined. Results are compared with those of analytical solution and various finite element formulations. It is shown that high computational accuracy and efficiency are achieved using the quadrature element method. It is fotmd that the proposed total Lagrangian scheme is effective and only retaining the second order term of the deflection as the geometrical nonlinear effect is acceptable in the routine nonlinear analysis of composite beams with partial interaction.