具有中心对称特征六边形核简的受扭连续化分析
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摘要
根据连续化方法,采用完备的三角函数系表示一类具有中心对称特征六边形核筒在扭矩作用下的形函数,推导出核筒中的剪力墙的正应力和剪应力公式,并得出核筒各部分的应变能。根据最小势能原理,推导出扭矩作用下核筒关键点处的位移值,得到受扭核筒转角及任意指定点的应力、应变和连梁的剪力等。采用文中的连续化方法对一个算例进行了计算,验证了该方法的有效性和高效性。文中提出的连续化方法可以为工程实践提供一定的参考。
The displacement shape functions of a class of hexagonal core tube possessing centrally symmetrial feature are constructed with the self-contained trigonometric function series based on the continuous method, 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. 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 calculated by the principle of minimum potential energy, so that 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 obtained. The validity and high efficiency of the continuous method are proved by an example. And the continuous method can provide reference for practical engineering.
The displacement shape functions of a class of hexagonal core tube possessing centrally symmetrial feature are constructed with the self-contained trigonometric function series based on the continuous method, 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. 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 calculated by the principle of minimum potential energy, so that 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 obtained. The validity and high efficiency of the continuous method are proved by an example. And the continuous method can provide reference for practical engineering.
引文
[1] 涂永明.CFRP索悬挂建筑结构静力和动力分析及研究[D].南京:东南大学土木工程学院,2005
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[5] 涂永明,张继文,吕志涛等.悬挂建筑减振体系次结构的抗侧性能[J].东南大学学报(自然科学版),2008,38(6)
[6] 涂永明,吕志涛,张继文等.核筒悬挂建筑减振体系主结构的抗侧性能[J].工业建筑,2008,38(12)
[7] Alexander Coull,et al.Simplified analysis of frame-tube structures[J].J of Struc.Div.,ASCE,1975,101(11) :2223-2240
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[9] Kwan A. H. K. Simple method for approximate analysis of framed tube stracture[J].J of Struc.Div.,ASCE, 1994,120(4) :1221-1239
[10] 刘开国.变截面高层框筒结构的扭转分析[J].建筑钢结构进展,2008,10(2) :19-22
[11] 龚胡广,方辉,沈蒲生.框筒结构的简化分析方法[J].建筑结构,2006,36(7) :79-82
[2] Dunican Peter.The art of structural engineering[J].the Structural Engineer,1966,44(3) :97-108
[3] 涂永明,吕志涛,张继文等.正六边形核筒悬挂结构中筒体受水平力作用的连续化分析[J].工业建筑,2008,38(S1) :152-158
[4] 涂永明,张继文,吕志涛等.悬挂建筑结构动力参数优化及地震响应分析[J].建筑结构,2008,38(12)
[5] 涂永明,张继文,吕志涛等.悬挂建筑减振体系次结构的抗侧性能[J].东南大学学报(自然科学版),2008,38(6)
[6] 涂永明,吕志涛,张继文等.核筒悬挂建筑减振体系主结构的抗侧性能[J].工业建筑,2008,38(12)
[7] Alexander Coull,et al.Simplified analysis of frame-tube structures[J].J of Struc.Div.,ASCE,1975,101(11) :2223-2240
[8] Conner J.J.,Pouangare C.C.Simple model for design of framed-tube structures[J].J of Struc.Div.,ASCE,1991,117(12) :3632-3644
[9] Kwan A. H. K. Simple method for approximate analysis of framed tube stracture[J].J of Struc.Div.,ASCE, 1994,120(4) :1221-1239
[10] 刘开国.变截面高层框筒结构的扭转分析[J].建筑钢结构进展,2008,10(2) :19-22
[11] 龚胡广,方辉,沈蒲生.框筒结构的简化分析方法[J].建筑结构,2006,36(7) :79-82
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