摘要
为了更加准确地把握剪切变形对开口薄壁杆件力学计算的影响,以符拉索夫开口薄壁杆件理论为基础,考虑扭转剪切变形,将控制微分方程的齐次解作为翘曲角的位移插值函数,利用截面翘曲角和扭转角的关系形成扭转角位移插值函数,最后用刚度法形成扭转刚度矩阵;推导得到的刚度矩阵可退化为精确的不考虑扭转剪切变形的扭转刚度矩阵。通过算例证明该刚度矩阵能准确考虑扭转剪切变形。
In order to more accurately reveal the influence of shear deformation on the mechanical calculation of open thin-walled beam, based on Vlasov＇s open thin-walled beam theory with consideration of torsional shear deformation, the homogeneous solution of the governing differential equation was used to represent the warping displacement interpolation function, and the rotation dis- placement interpolation function was established depending on the relation between rotation and war- ping displacements. The torsional stiffness matrix was formed using the stiffness method. The derived matrix can be degenerated into an exact matrix without considering shear deformation. The results were presented to verify the accuracy of the matrix.
出处
《广西大学学报（自然科学版）》
CAS
北大核心
2013年第4期795-800,共6页
Journal of Guangxi University（Natural Science Edition）
基金
国家自然科学基金资助项目(51168003)
广西壮族自治区主席基金项目(2010GXNSFD169008)
关键词
翘曲
剪切变形
薄壁杆
刚度法
warping
shear deformation
thin-walled beam
stiffness method
