一种层叠胶合木梁单元

摘要

A two-node layered composite beam finite element is developed in this study for structural behavior analyses of glulam beams.Timoshenko's composite beam functions are employed to represent the displacement interpolation functions,and the strain matrix and stiffness matrix are formulated under displacement interpolation functions.The structural behaviors of glulam beams can be analyzed by this beam element;in the model of ele-ment,the shear-locking can be avoided successfully, geometric nonlinearity and material nonlinearity are also considered.Two numerical examples are analyzed and their results obtained from the present element are com -pared with experimental solutions in other literatures.The developed model is demonstrated to be accurate for a-nalysis of glulam beams.%构建一个简单的2节点层叠梁单元模型可应用于有限单元法分析胶合木梁的结构性能.运用Timosh-enko复合梁函数构造胶合木梁单元的形函数,利用该形函数推导单元应变矩阵和刚度矩阵.根据胶合木梁材料的构成特点,运用该梁单元能够高效、精确地模拟胶合木梁的受力和变形,并且有效地避免单元剪力自锁现象,同时单元模型中考虑了材料非线性和几何非线性特性.通过算例将计算结果和其他文献的试验结果进行对比,验证所建立的非线性层叠单元的正确、有效性.