摘要
从工程梁理论中的梁位移微分方程出发直接推导出考虑剪切效应的空间梁单元的刚度矩阵,并从动力荷载的虚功原理出发推导出考虑剪切效应的其质量矩阵。编制了简单的有限元程序去验证,通过计算实例分别比较考虑剪切效应和不考虑剪切效应对结构固有频率的影响,结果表明在剪切系数较大时,不考虑剪切效应会引起较大的误差。
3D-beam＇ s displacement＇ s differential equation was used to deduce the element stiffness matrix with shear effect, and dynamical load＇ s principle of virtual work was employed to illustrate the 3D-beam＇ s element mass matrix. A valued example was represented to demonstrate the influence of natural frequency between shear effect and non-shear effect respectively. The results indicate that it＇ s necessary to consider the shear effect when the structures＇ shear coefficients can＇t be ignored.
出处
《重庆交通大学学报（自然科学版）》
CAS
2008年第4期502-507,共6页
Journal of Chongqing Jiaotong University(Natural Science)
基金
国家自然科学基金项目(50538050)
关键词
剪切效应
单元刚度矩阵
单元质量矩阵
剪切系数
shear effect
element stiffness matrix
element mass matrix
shear coefficient
