矩形截面梁柱构件的等效桁架模型

Equivalent Truss Model of Beam-column Member with Rectangular Section

结合连续介质矩形截面梁柱构件在弯曲变形和轴向变形等主要受力状态下的刚度的理论计算成果,按主要刚度等效的方法得到具有同样宽度和高度的超静定桁架力学分析简图,进而得到这类构件力学分析的等效桁架力学模型.算例表明,所计算的节点位移及桁架模型杆的内力与有限元计算结果吻合较好.等效桁架模型因其分析方法和计算公式简单,对复杂系统的静动力有限元分析有着积极的意义.

Based on the theoretical calculation of the rigidity of the link and structural member of a beam-column with rectangular section under mainly stressed state,such as the axial deformation and the flexural deformation,a mechanical analysis diagram of indeterminate truss with the same width and height is proposed by the method of mainly equivalent rigidity.Therefore,the equiva-lent mechanical truss model of this kind of frame member is obtained.The calculation example shows that the calculated displacement is in agreement with the result of internal force in space truss model and finite element method.The equivalent mechanical truss model is of positive sig-nificance to the static and dynamic analysis of finite element in a complex system because of its simple analysis method and calculating formula.