钢筋混凝土蜂窝型空腹夹层板固有频率的计算  

Calculation of natural frequency of reinforced concrete honeycomb-type open-web sandwich plate

作　　者：王泽曦 马克俭[1] 申波[1] 孙敬明 晁亚茹 才琪[1] WANG Ze-xi;MA Ke-jian;SHEN Bo;SUN Jing-ming;CHAO Ya-ru;CAI Qi(Space Structures Research Center, C-uizhou University, Guiyang 550003, Chin)

机构地区：[1]贵州大学空间结构研究中心,贵州贵阳550003

出　　处：《空间结构》2017年第4期29-35,共7页Spatial Structures

基　　金："十二五"国家科技支撑计划项目(2011BAJ09B01-01);国家自然科学基金项目(50978064)

摘　　要：针对周边简支及周边固支条件下的钢筋混凝土蜂窝型空腹夹层板,利用Reissner夹层板理论及Hamilton变分原理推导其固有频率计算式.利用SAP2000建立了蜂窝型空腹夹层板周边简支、周边固支、柱支承条件下的有限元模型.分析表明,周边简支、周边固支计算结果与有限元分析结果吻合较好,证明了所推导公式的正确性.周边简支计算结果与柱支承有限元分析结果误差较小,可用周边简支计算式近似计算柱支承条件下蜂窝型空腹夹层板的固有频率.This paper focuses on the natural frequency of reinforced concrete honeycomb-type open-web sandwich plates.By using Reissner theory for sandwich plates and Hamilton＇s variation principle,a natural frequency calculation formula for honeycomb-type open-web sandwich plates with simply-supported and fixed edges is derived.By using SAP2000,finite element models for open-web sandwich plates with simply-supported edges,fixed edges and column-supported edges are established.The analysis shows that,the calculated results of sandwich plates with simply-supported edges and fixed edges agree well with finite element results,which proves the correctness of the derived formula.The errors between the calculations of simply-supported edges and the finite element results for column supports are small,thus the natural frequency of honeycomb-type open-web sandwich plates with column supports can be approximately calculated by the formula for simply-supported edges.

关 键 词：空腹夹层板 钢筋混凝土 蜂窝型 固有频率 

分 类 号：TU311.3[建筑科学—结构工程]