摘要:
根据结构连续化分析方法,采用完备的三角函数系形式表示正六边形核筒悬挂建筑结构中筒体在扭矩作用下的位移函数,并推导出核筒中的剪力墙的正应力和剪应力公式。在此基础上,得出核筒各部分的应变能。而后,根据最小势能原理,得出扭矩作用下核筒关键点处的位移值。由此,推导出了受扭核筒转角及任意指定点的应力、应变和连梁的剪力等。最后,分别采用文中的连续化方法和有限元软件Ansys9.0对一个算例进行了计算,计算结果验证了连续化方法的有效性和高效性。提出的连续化方法可以为工程实践中的计算提供一定的参考。
Abstract:
With the continuous method,the displacement shape functions are constructed with the self-contained trigonometric function series,and then the formulae of normal stress and shear stress in the shear walls of the core tube subjected to a torque are brought forward.Therefore,the formulae of the strain energy in each part of the core tube are obtained.Consequently,the warp displacement values of the key points could be found by the principle of minimum potential energy.Then the torsion displacement,the stresses and the strains of the designated points,and the shear forces in the beams of the core tube will be derived.At last,the validity and high effectiveness of the continuous method are proved by an example,where the results obtained by the method are compared with those obtained by the FEM software ANSYS9.0.Wherefore,the continuous method can be used in the practical engineering
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