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组合荷载下索拉骨架膜结构参数优化设计

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为使索拉骨架膜结构满足力学性能、所用耗材最少,建立一种新型索拉式骨架膜结构模型.运用ANSYS分析不同荷载组合工况下膜结构杆件轴力和变形,对比得到对膜结构最不利的荷载工况.运用正交试验法对最不利荷载工况下有限元结果进行分析,得到杆件截面尺寸及杆件空间几何布置对压杆稳定性和杆件变形的影响程度.以弦杆挠度、支撑杆和斜腹杆长细比、压杆稳定临界压力为约束条件,以膜结构质量最小为优化目标,采用响应面法,对骨架膜结构进行优化设计,得到最优设计方案:弦杆与腹杆夹角(A)为42°、跨高比(B)为12、斜腹杆外径(C)为28 mm、斜腹杆径厚比(D)为10、支撑杆外径(E)为51 mm、支撑杆径厚比(F)为15、弦杆宽度(G)为32 mm、弦杆高度(H)为95 mm,优化方案比初始设计方案质量减小6.82%,弦杆挠度减少21.22%.该方法为相似结构设计提供了有效的工程手段,其优化的弦杆与腹杆夹角、跨高比等关键结构参数与众不同,较全面地解决了此种膜结构设计的关键技术问题.
Optimal design of cable skeleton membrane structure parameters under combined load
To satisfy the mechanical properties and minimize consumables of the cable skeleton membrane structure,a new cable skeleton membrane structure model is first built according to the relevant design criteria.Then ANSYS is employed to analyze the axial force and deformation of the membrane structure members under different load combination conditions,and the most unfavorable load conditions to the membrane structure are compared.Next,the orthogonal test method is adopted to analyze the finite element results under the most unfavorable load conditions,and the influence degree of the cross section size of the rod and the spatial geometric arrangement of the rod on the stability and deformation of the pressure rod is obtained.Finally,with the string deflection,the slenderness ratio of the support rod to the oblique rod and the critical pressure for the stability of the pressure rod as the constraint conditions,and the minimum mass of the membrane structure as the optimization objective,the response surface method is adopted.The skeleton membrane structure is optimized and the optimal design scheme is obtained:The Angle (A) between the chord and the rod is 42°,the span to height ratio (B) 12,the outer diameter (C) of the diagonal rod 28 mm,the diameter to thickness ratio (D) of the diagonal rod 10,the outer diameter (E) of the support rod 51 mm,the diameter to tshickness ratio(F) of the support rod 15,the width (G) of the chord 32 mm,and the height (H) of the chord 95mm.Compared with the initial design,the optimized scheme reduces the mass by 6.82% and the chord deflection by 21.22%.Our method may provide some insights for the design of similar structures with some superior key structural parameters such as the Angle between the chord and the belly and the ratio of span to height.Moreover,the key technical problems in the design of such membrane structures are thoroughly addressed.

cable skeleton membrane structuremechanical analysisorthogonal testresponse surface methodstructure optimization

李延民、李政权

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郑州大学 机械与动力工程学院,郑州 450001

索拉骨架膜结构 力学分析 正交试验 响应面法 结构优化

2024

重庆理工大学学报
重庆理工大学

重庆理工大学学报

CSTPCD北大核心
影响因子:0.567
ISSN:1674-8425
年,卷(期):2024.38(17)