Thermal Expansion Characteristic of Prestressed Single Helical Structure

Thermal Expansion Characteristic of Prestressed Single Helical Structure
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预应力单螺旋结构的热膨胀特性

DOI:
10.3970/cmes.2012.083.403
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发表时间:
2012-02
期刊:
Computer Modeling in Engineering & Sciences
影响因子:
--
通讯作者:
茅献彪
茅献彪
中科院分区:
其他
文献类型:
--
作者:
曹国华;李凯;朱真才;彭维红;茅献彪

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为了掌握螺旋结构在矿井提升钢丝绳、电力输送电缆等复杂工况下的几何和力学行为,系统研究了单螺旋结构在不同层温度作用下的热膨胀特性。推导了第i层螺旋单元轴向应变和螺旋角增量的线性显式表达式。基于Love曲线理论和Costello钢丝绳理论,给出了螺旋单元张力、扭矩和弯矩的线性显式表达式。在此基础上,给出了两种边界条件下单螺旋结构的变形系数和热膨胀系数的线性表达式。为了进一步验证解析表达式的正确性,利用ABAQUS软件包建立了单螺旋结构的有限元模型。通过比较,解析法与数值法的结果是一致的。因此,将解析方法应用于多层结构的分析。结果表明:热膨胀系数是螺旋角参数的非线性函数,在两种边界条件下,热膨胀系数可以近似地看作是温度增量比的线性函数;螺旋单元在不同层位的几何力学行为与温度增量呈线性关系,边界条件对这些特性有明显的影响。得到了螺旋扭转结构的热膨胀特性,为研究复杂螺旋结构的几何和力学行为提供了理论依据。
In order to master the geometric and mechanical behavior of helical structure under complicated condition such as the hoisting rope in mine shaft and the transmitting cable in electric power, the thermal expansion characteristic of sin- gle helical structure is systematically investigated under temperature effect in dif- ferent layer. Linearly explicit expressions of axial strain and increment of helical angle for the helical unit of the ith layer are developed. Based on theory of curve by Love and theory of wire rope by Costello, the linearly explicit expressions of tension, torsion and bending moment of the helical unit are presented. After that, the linear expressions of deformation and thermal expansion coefficients for the single helical structure are proposed under two boundary conditions. For further evaluating the analytical expressions, the finite element model of the single helical structure is established by using the ABAQUS software package. The analytical method is accordant to the numerical method by comparison. Thus, the analytical method is applied to analysis multilayer structures. The results show that the ther- mal expansion coefficients are the nonlinear function for the parameters of helical angle, and these coefficients could be approximately considered as linear functions for the ratio of temperature increment under two boundary conditions; the geomet- ric and mechanical behaviors of helical unit in different layer have linear relation with temperature increment, and these characteristics are influenced obviously by boundary condition. The thermal expansion characteristic of helical twist structure is obtained, which is useful to investigate geometric and mechanical behavior of complicated helical structures.
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