四边简支CLT板的动力特性分析  

Dymical Analysis of Simply Supported CLT

作　　者：王章进 周叮[1] 陆伟东[1] WANG Zhangjin;ZHOU Ding;LU Weidong(College of Civil Engineering,Nanjing Tech University,Nanjing 211816,China)

机构地区：[1]南京工业大学土木工程学院,南京211816

出　　处：《结构工程师》2018年第4期21-30,共10页Structural Engineers

基　　金：973计划课题(2012CB026205);国家自然科学基金面上项目:中高层木结构建筑的抗侧力体系受力机理及设计方法研究(51378255)

摘　　要：将制作CLT(正交胶合木板)的每层木板视为正交各向异性材料,从三维弹性力学基本理论出发,研究CLT板的自由振动问题。首先确定在整体坐标系下刚度系数与工程弹性系数的关系,导出单层正交异性板的自由振动方程,然后由CLT板上下表面的界面条件,建立状态传递方程,求得任意厚度CLT板的频率方程,数值结果与有限元软件Abaqus进行了对比,显示出很好的一致性。详细分析了层数、宽厚比以及长宽比对CLT板各阶固有频率的影响。Timbers made of CLT(cross laminated timber)plate were considered as plates of orthotropic materials.On the basis of three-dimensional elasticity theory,the free vibration problem of simply supported CLT plate was studied.First,the relationship between the stiffness coefficients and elasticity of engineering in global coordinate system was determined.The free vibration equation of a single-layer orthotropic plate was obtained.Then,the state transfer equation based on the conditions of the upper and lower surfaces of a CLT plate was developed.The frequency equation of a CLT plate with arbitrary thickness was obtained.The present results were compared with those from the software Abaqus.Good agreement was observed.The effects of layer number,flakiness ratio and the aspect ratio on eigen-frequencies of a CLT plate were numerically analyzed.

关 键 词：CLT板 弹性力学 自由振动 传递矩阵 频率 

分 类 号：TU311.3[建筑科学—结构工程]