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考虑轴力和剪切变形影响的楔形梁自由振动分析 被引量:4

ANALYSIS OF FREE VIBRATION FOR TAPERED BEAM INCLUDING EFFECTS OF AXIAL FORCE AND SHEAR DEFORMATION
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摘要 通过建立楔形梁包含轴力和剪切变形影响的平衡微分方程,以及寻求该方程的级数解得到楔形梁的 单元刚度矩阵,并运用所得的矩阵对腹板高度线性变化的工字形截面楔形简支梁的自由振动进行数值计算,分 析了多种因素对这种梁自由振动的影响. Equilibrium differential equation of tapered beams, involving effects of constant axial force and shear deformation, is derived and then its stiffness matrix is obtained by expanding the solution and variables to power series.Numerical investigations are made on free vibration of simple supported I-sectional beams with linearly varied web-height. Several factors affecting free vibration of those beams are studied in this paper.
机构地区 同济大学
出处 《钢结构》 2000年第1期31-34,共4页 Steel Construction
关键词 楔形梁 自由振动 有限元 轴力 剪切变形 tapered free vibration finite element axial force shear deformation
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