Study on Progressive Collapse Performance of Aluminum Alloy Honeycomb Plate Composite Reticulated Shell Under Strong Earthquake
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摘要: 为了提高铝合金蜂窝板组合网壳的计算效率,分别采用引入接触单元的耦合法(简称接触模型)和完全协调法建立了有限元分析模型,并且将有限元分析结果与铝合金蜂窝板组合网壳承载力试验结果进行了对比分析,然后基于两种有限元分析方法建立了大跨铝合金蜂窝板组合网壳模型,并且提出了引入折减系数的完全协调法作为铝合金蜂窝板组合网壳的简化计算方法。基于上述简化计算方法,采用ANSUYS软件建立了有限元分析模型,探究了铝合金蜂窝板组合网壳在不同矢跨比(1/4、1/5、1/6)、不同跨度(40,50,60 m)和不同板厚(5,10,15 mm)下结构自振频率的变化规律。对铝合金蜂窝板组合网壳进行了时程分析,对结构的动力位移响应和进入塑性的杆件比例进行了全面的研究,得出了网壳发生破坏时的加速度幅值,探讨了不同矢跨比、不同跨度和不同板厚对铝合金蜂窝板组合网壳在强震作用下的抗连续倒塌性能的影响。结果表明:当板厚折减20%时,按完全协调法的有限元分析结果与试验结果之间的误差为5.87%,误差在合理范围内。故提出了引入折减系数为0.8的完全协调法作为铝合金蜂窝板组合网壳的简化计算方法,并且应用于组合网壳的自振频率分析以及在强震作用下组合网壳的倒塌性能研究。通过对组合网壳进行模态分析,发现:随着模态阶数的提高,组合网壳的自振频率有小幅度的增大。矢跨比的减小会引起组合网壳的自振频率的减小;跨度的减小和板厚的增大会引起组合网壳的自振频率的增大。通过对组合网壳进行时程分析,发现:随着加速度幅值的不断增大,不同矢跨比、不同跨度和不同板厚的铝合金蜂窝板组合网壳的最大节点位移和进入塑性的杆件比例都在逐渐增大;当加速度幅值为325,375,400 m/s2时,矢跨比1/4、1/5、1/6的组合网壳在El Centro波作用下依次发生连续倒塌破坏;当加速度幅值为300,350 m/s2时,40 m和50 m跨度的组合网壳在El Centro波作用下依次发生连续倒塌破坏;当加速度幅值为225,575 m/s2时,5 mm和15 mm板厚的组合网壳在El Centro波作用下依次发生连续倒塌破坏。矢跨比的减小、跨度的增加以及板厚的增加会引起组合网壳在El Centro波作用下发生破坏时的加速度幅值的提高,进而证实了铝合金蜂窝板组合网壳的抗连续倒塌性能的提高。Abstract: In order to improve the computational efficiency of the aluminum alloy honeycomb plate composite reticulated shell,the finite element analysis model was established by using the coupling method (contact model) and the complete coordination method.The finite element analysis results were compared with the bearing capacity test results of the aluminum alloy honeycomb plate composite reticulated shell.Based on the two types of finite element analysis methods,the large-span aluminum alloy honeycomb plate composite reticulated shell model was established,and the complete coordination method with the reduction coefficient was proposed as the simplified calculation method of the aluminum alloy honeycomb plate composite reticulated shell.Based on the above simplified calculation method,the finite element analysis model is established,and the variation of natural frequency of aluminum alloy honeycomb plate composite reticulated shell under different rise-span ratios (1/4,1/5,1/6),different spans (40,50,60 m) and different plate thicknesses (5,10,15 mm) was studied by ANSYS software.The time-history analysis of aluminum alloy honeycomb plate composite reticulated shell were carried out.The dynamic displacement response of the structure and the proportion of the members entering the plasticity were comprehensively studied and the acceleration amplitude of the reticulated shell was obtained when it was destroyed.The influence of different rise-span ratios,different spans and different plate thicknesses on the progressive collapse resistance of aluminum alloy honeycomb plate composite reticulated shell under strong earthquake was discussed.The results show that when the plate thickness is reduced by 20%,the error between the finite element analysis results and the experimental results is 5.87%,and the error is within a reasonable range.The complete coordination method with a reduction factor of 0.8 was proposed as a simplified calculation method for aluminum alloy honeycomb composite reticulated shells,and it is applied to the natural frequency analysis of composite reticulated shells and the progressive of composite reticulated shells under strong earthquakes.Through the modal analysis of the composite reticulated shell,it is found that the natural frequency of the composite reticulated shell increases slightly with the increase of the order.The decrease of the rise-span ratio will cause the decrease of the natural frequency of the composite reticulated shell.The decrease of span and the increase of plate thickness will increase the natural frequency of the composite reticulated shell.Through the time-history analysis of the composite reticulated shell,it is found that with the continuous increase of the acceleration amplitude,the maximum displacement of joint and the proportion of members entering the plasticity of the aluminum alloy honeycomb plate composite reticulated shell with different rise-span ratio,different span and different plate thickness are gradually increasing.When the acceleration amplitude is 325 m/s2,375 m/s2 and 400 m/s2,the composite reticulated shell with rise-span ratio of 1/4,1/5,and 1/6 successively collapses under the action of El Centro wave.When the acceleration amplitude is 300 m/s2 and 350 m/s2,the composite reticulated shells with spans of 40 m and 50 m successively collapse under the action of El Centro wave.When the acceleration amplitude is 225 m/s2 and 575 m/s2,the composite reticulated shell with plate thickness of 5 mm and 15 mm successively collapses under the action of El Centro wave.The decrease of rise-span ratio,the increase of span and the increase of plate thickness will increase the acceleration amplitude of the composite reticulated shell under the action of El Centro wave,which further confirms the improvement of the progressive collapse resistance of the aluminum alloy honeycomb plate composite reticulated shell.
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