K8型单层球面网壳的弹塑性稳定

对1 200多例实际尺寸的K8型单层球面网壳进行双重非线性全过程分析,求得它们的极限承载力,并系统考察初始缺陷和荷载不对称分布等因素对网壳稳定性能的影响,重点讨论材料非线性对网壳极限承载力的影响。通过这种大规模参数分析研究,较全面揭示K8型单层球面网壳弹塑性稳定性能的规律性,在此基础上对以往仅考虑几何非线性影响的K8型网壳极限承载力实用公式进行修正。     

单层球面网壳的弹塑性稳定性

为了解和掌握单层球面网壳在静力荷载作用下的弹塑性稳定性能,采用有限元软件ANSYS及自编的前后处理程序对典型单层球面网壳结构稳定性能进行对比分析,初步了解了球面网壳弹性与弹塑性稳定性能的主要差异。在此基础上进行了1000余例K8型单层球面网壳弹性、弹塑性全过程分析,同时考虑竖向均布荷载的不对称分布、初始几何缺陷等因素对球面网壳稳定性能的影响,掌握了以上因素变化对球面网壳弹塑性稳定性能的影响规律,并将其定量化。最后,通过对弹性、弹塑性稳定极限承载力的统计分析,提出适用于K8、K6型球面网壳的塑性折减系数,用以表示材料非线性对极限承载力的影响。这些成果的获得为进一步开展网壳结构的弹塑性稳定性能研究以及工程实践提供了理论依据和技术参考。     

K6型单层球面网壳弹塑性稳定极限承载力的杆件灵敏度分析

利用蒙特卡洛模拟技术以及基于Spearman秩相关系数的灵敏度分析方法,对工程常用的16种K6型单层球面网壳进行了参数分析.利用ANSYS进行了64000次双重非线性模拟运算并对计算结果进行了统计分析,得到了其弹塑性稳定极限承载力对于所有杆件的灵敏度值.总结了K6型单层球面网壳不同位置杆件对其弹塑性稳定极限承载力的影响规律,并对计算分析结果进行了验证.     

短程线型球面网壳弹塑性稳定性分析

有计划地对480余例实际尺寸的短程线型单层球面网壳进行了双重非线性全过程分析,求得了极限承载力,系统地考察了初始缺陷和荷载不对称分布等因素对网壳稳定性能的影响,并重点讨论了材料非线性对极限承载力的影响。通过大规模参数分析研究,较全面了解了短程线型单层球面网壳弹塑性稳定性能;在短程线型网壳弹性极限承载力公式基础上,利用塑性折减系数对其进行修正,提出了短程线型单层球面网壳弹塑性极限稳定承载力的实用计算公式。     

单层K8型椭球面网壳的静力稳定性分析

利用非线性有限元法,对几百例单层K8型椭球面网壳进行了几何非线性全过程分析.得到了不同跨度、矢跨比、杆件截面尺寸情况下结构的极限承载力,并分析了这些因素对结构静力稳定性的影响.系统地考察了初始缺陷、荷载不对称分布、支承条件等对单层 K8 型椭球面网壳结构静力稳定性能的影响.通过大规模参数分析,揭示了单层 K8 型椭球网壳的稳定性能的规律.利用回归分析方法,对大量计算数据进行处理,给出了结构极限承载力的拟合公式.     

施威德勒穹顶弹塑性稳定性能研究

通过有计划地对400余例实际尺寸的施威德勒型单层球面网壳进行双重非线性全过程分析,求得网壳的极限承载力,系统地考察了初始缺陷和荷载不对称以及考虑材料非线性等因素对网壳稳定性能的影响,较全面了解了施威德勒型单层球面网壳弹塑性稳定的规律性,为此类网壳结构的工程实践提供了理论依据和设计参考。并得出以下几点结论:(1)为保证网壳的安全性,网壳的极限承载力应由双重非线性全过程分析确定。(2)施威德勒穹顶属于缺陷敏感性结构。(3)竖向荷载不对称分布对网壳极限承载力影响较小。(4)工程设计中应适当考虑支承条件变化对网壳极限承载力的影响。     

基于TensorFlow的单层球面网壳结构极限承载力预测

为研究单层球面网壳结构极限承载力问题,基于TensorFlow下的BP神经网络算法,考虑非线性分析中的复杂映射关系,建立神经网络模型,对K8型单层球面网壳结构的极限承载力进行预测。在此基础上,考虑结构网格形式的不同,建立新的神经网络模型,预测Kn型单层球面网壳结构的极限承载力;将预测结果与有限元和文献回归公式的计算结果进行对比分析。研究结果表明：预测的K8型单层球面网壳结构的极限承载力与有限元结果误差均值为1.666%,文献回归公式计算的结果与有限元的计算结果误差均值为3.994%;预测的Kn型单层球面网壳结构的极限承载力与有限元结果误差均值为4.774%,文献回归公式计算的结果与有限元的计算结果误差均值为5.163%。可见利用神经网络对单层网壳结构极限承载力进行预测是可行的。     

非对称荷载作用下具有初始几何缺陷的单层球面网壳的稳定极限承载力研究

为了研究非对称(半跨均匀)荷载对具有初始几何缺陷(节点偏差)的单层球面网壳稳定性的影响,采用N阶特征缺陷模态法模拟节点偏差,利用有限元软件ANSYS对矢跨比分别为1/3、1/4、1/5、1/6和1/7的K8型单层球面网壳进行了荷载-位移非线性全过程分析。通过对网壳结构施加全跨缺陷、半跨缺陷、全跨荷载、半跨荷载不同组合作用的方法,可以判断结构对非对称荷载的敏感程度以及非对称荷载与初始几何缺陷对结构相互影响的关系。分析表明:单层球面网壳在施加半跨缺陷和半跨荷载组合下的最不利缺陷模式均出现在前3阶,此状态下网壳的稳定极限承载力极低;矢跨比为1/5的K8型单层球面网壳结构受半跨缺陷影响较大,其稳定极限承载力下降最为显著;单层球面网壳结构全跨缺陷的最不利分布模式受荷载布置方式的影响较小;在非对称荷载作用下,初始几何缺陷的分布模式对单层球面网壳结构的稳定极限承载力影响较小。     

基于构形易损性理论的温室单层球面网壳极限承载力分析

温室单层球面网壳的稳定性在设计中起着控制作用,尤其是非对称(半跨均匀)荷载、初始几何缺陷(节点偏差)、矢跨比和拉索预应力等因素对温室单层球面网壳稳定性的影响还有待深入研究。基于构形易损性理论,提出了判断参数对极限承载力影响的指标,即节点构形度的差异系数。利用ANSYS软件对矢跨比分别为1/3、1/5和1/7的K6、K8型温室单层球面网壳进行了整体刚度矩阵的提取,并通过MATLAB自编程序计算得到节点构形度的差异系数,定性分析了各参数对极限承载力的影响与节点构形度的差异系数的关系。研究表明:判定初始几何缺陷和不对称荷载对温室单层网壳结构极限承载力影响的准则是节点构形度的差异系数越小,结构的极限承载力越大;通过对K6型和K8型温室单层球面网壳的稳定承载力进行计算,验证了提出的判别准则的适用性与合理性。提出的判别准则可推广至其他类型的大跨度温室空间结构中。     

支座形式对K8型单层球面网壳非线性动力稳定的影响

本研究以K8型单层球面网壳为研究对象,研究支座形式对K8型单层球面网壳非线性动力稳定的影响。在分析过程中,利用比例法调整地震作用的峰值加速度,采用B-R准则判定结构的动力稳定临界荷载。通过分析,总结出支座形式对K8型单层球面网壳非线性动力稳定的影响情况。     

单层球面网壳结构的弹塑性稳定分析

考虑结构的几何非线性和材料的弹塑性,对一个K6型单层球面网壳进行稳定性分析。通过对比分析发现,此结构的弹塑性稳定承载力约为其弹性稳定承载力的50％,材料的弹塑性对不对称荷载作用下的稳定承载力的影响更显著。     

具有随机几何缺陷的大跨度单层球面网壳稳定性分析

网壳结构的稳定性是单层网壳结构设计中的关键问题。采用改进随机缺陷法对一大跨度K8型单层球面网壳进行随机缺陷稳定性分析,并研究非线性（几何非线性、材料非线性）、缺陷最大值等因素对单层网壳承载能力和临界荷载分布规律及其统计参数的影响。结果表明,单层球面网壳的临界荷载对曲面形状的安装偏差非常敏感,初始几何缺陷的影响非常大。缺陷最大值的增大将会使样本的最大值、最小值、均值及设计临界荷载显著下降,缺陷最大值对样本均方差的影响较复杂。材料非线性对大跨度单层球面网壳极限承载力的影响比较显著和复杂,对同一样本的影响有规律可循,但在不同样本之间没有必然的联系,在单层网壳结构设计中进行弹塑性稳定性分析是非常必要的。     

The stability and stressed skin effect analyses of an 80 m diameter single-layer latticed dome with bolt-ball joints

Recent researches have demonstrated that bolt-ball joints have a certain amount of flexural stiffness, so they should be classified as semi-rigid joints and it is possible to apply them on single-layer latticed domes. In order to study the stability and stressed skin effect of the latticed domes with bolt-ball joints, a series of nonlinear full-produce analyses were conducted on the basis of the design of an 80 m diameter single-layer latticed dome with bolt-ball joints, which is the main structure of the Shenbei New District citizen fitness center in Shenyang, China. Above all, the moment-rotation relations for bolt-ball joints, which were established based on numerical results, were introduced into the latticed dome numerical model. Then, the nonlinear stability analyses for the latticed dome in different construction stages were carried out by the above-mentioned numerical model under vertical loads and horizontal wind loads. The mechanical behaviors discussed in this investigation including the stability and the ultimate bearing capacity of the latticed dome in different construction stages, and the influence of the stressed skin effect on the stability of the latticed dome with decorated plates. The result shows that: after being properly designed, the latticed dome with bolt-ball joints can exhibit a good mechanical performance, and this successful application of bolt-ball joints on the Shenbei New District citizen fitness center can set an example project for the design of single-layer latticed domes with semi-rigid joints; under vertical loads, it is more dangerous for the 75% complete latticed dome, while the dangerous construction stage for horizontal wind loads is the 50% completed latticed dome; the stressed skin effect can increase the stability of latticed domes.     

焊接球单层球面网壳精细化有限元分析

采用ANSYS软件中的SHELL181壳单元模拟钢管杆件和空心球节点,建立了一个K6（2）型单层球面网壳的精细化有限元模型,考虑几何非线性和材料弹塑性的双重非线性,并通过精细化分析与传统的梁单元模型分析的对比,得到了单层球面网壳极限破坏时杆件和节点塑性应力分布、细部破坏模式。在此基础上进行了参数分析,研究了焊接球节点壁...     

Elasto-plastic stability of single-layer reticulated shells

Investigation of elasto-plastic stability of reticulated shells has gradually become more and more attractive to researchers. However, the analysis of the elasto-plastic stability is much more complicated than the elastic analysis, because of the involvement of both the geometrical nonlinearity and the material nonlinearity and the interactions of the two. Taking into consideration of material nonlinearity, the elasto-plastic stability behaviour of reticulated shells will be significantly different, which can only be revealed by large amount of geometrically and material nonlinear analysis of the structures. The elasto-plastic stability of seven types of commonly used single-layer reticulated shells (Kiewitt-8, Kiewitt-6, Geodesic, Schwedler Bidirectional, Schwedler Monoclonal, Sunflower, and Radial Rib) was investigated systematically with ANSYS, in which more than 2000 cases of geometrically and material nonlinear analysis were conducted with different initial geometrical imperfections, geometrical, structural and load parameters. Based on the analytical results and via comparison between elastic and elasto-plastic buckling loads, the plasticity influence coefficients were summarized for each type of the reticulated domes. These coefficients can be used to predict accurately the elasto-plastic buckling load in design practice of the reticulated domes, which is an easy way for designers to evaluate stability of the reticulated shells.     

大矢跨比单层球面网壳动力试验模型弹塑性稳定分析

为了解水平地震作用下具有不同失效机制的单层球面网壳结构在静力荷载作用下的弹塑性稳定性能,利用有限元软件ANSYS,对两个矢跨比为1/2的单层球面网壳结构试验模型进行双重非线性全过程分析,获得结构的弹塑性极限承载力,比较二者的失稳模态,初步了解二者之间的差异。考察结构杆件屈曲、初始缺陷等因素对结构稳定性能的影响,并分析各因素对结构极限承载力的影响规律。结果表明,地震作用下,具有强度破坏特征的网壳结构在静力下的失稳模式表现为结构的整体失稳,而发生动力失稳破坏的结构则表现为局部失稳破坏。杆件失稳和初始缺陷使结构的临界荷载大幅度降低,且地震作用下属于强度破坏的单层球面网壳结构在静力下对初始缺陷的敏感性大于动力失稳破坏结构。     

Failure mechanism of single-layer steel reticular domes with reinforced concrete substructure subjected to severe earthquakes

This paper performs the research on failure mechanism of single-layer steel reticulated domes with the reinforced concrete substructure subjected to sever earthquakes. Based on ABAQUS, this paper built user-defined material subroutines of the steel and the reinforced concrete, which took material non-linearity and the material damage accumulation into consideration. The failure mechanism of reticulated domes with reinforced concrete substructures under severe earthquakes is studied by the nonlinear dynamic response analysis. Three different failure modes of single-layer reticular domes with different sizes of reinforced concrete substructure are illustrated. Failure criterion is put forward to discriminate the failure modes and to estimate the critical load strength for single-layer reticular domes based on the structural damage theory. It has been found that reinforced concrete substructure has significant impact on the failure behaviors and the critical load of reticulated domes under seismic loads. It is essential to consider the influence of the reinforced concrete substructure upon the failure behaviors in the structural analysis and design process of reticular domes.