考虑层间相互作用的减振型复合楼板振动特性研究  

Study on Vibration Characteristics of Vibration-damped Composite Floor Slab Considering Interlayer Interaction

作　　者：孙亮明[1] 张依杰 SUN Liang-ming;ZHANG Yi-jie(School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]武汉理工大学土木工程与建筑学院,武汉430070

出　　处：《武汉理工大学学报》2024年第3期56-62,共7页Journal of Wuhan University of Technology

基　　金：武汉市城乡建设局科技计划(202205(标准类),202304(标准类))。

摘　　要：针对楼板的振动舒适度问题,研究层间相互作用对减振型复合楼板振动特性的影响。采用谱方法对减振型复合楼板振动特性进行分析,基于三维层合理论,考虑层间相互作用,将减振型复合楼板的位移变量按第一类切比雪夫多项式与双三角级数展开,根据哈密尔顿原理得到减振型复合楼板的自由振动方程,计算不同参数下的减振型复合楼板的振动特性,分析层间相互作用对减振型复合楼板振动频率影响规律。结果表明:考虑装饰层、减振层等非结构层时,层间相互作用会使楼板各阶无量纲频率降低;对于复合楼板减振层,其弹性模量和厚度变化差异越大时,层间相互作用对楼板基频的影响越大;减振层弹性模量变小时复合楼板基频降幅更大;减振层厚度增大时复合楼板基频降幅变大。因此,减振型复合楼板设计时应合理考虑层间相互作用对楼板振动特性的影响。The effect of interlayer interaction on the vibration characteristics of vibration-damped composite floor slabs was investigated to analyze and discuss the vibration serviceability of floor slabs.The vibration characteristics of vibrationdamped composite floor slabs were analyzed by spectral method,based on the three-dimensional laminated theory and taking into account interlayer interaction.The vibration-damped composite floor slabs displacement variables were expanded using the first type of Chebyshev polynomials and double trigonometric grades.The free vibration equations of vibrationdamped composite floor slabs were obtained through Hamilton's principle.The vibration characteristics of these floor slabs were calculated.Furthermore,the study analyzed the impact of floor slab parameters and interlayer interaction on vibration responses.The results indicate that the interaction between interlayers reduces each order dimensionless frequency of the floor slab when non-structural layers,such as decorative and vibration-damped layers,are considered.For composite floor slabs,the difference in elastic modulus and thickness enhances the impact of interlayer interaction.It is important to consider the decrease in the elastic modulus of the damping layer,as it results in a more significant reduction in the fundamental frequency of the composite floor slab.Similarly,increasing the thickness of the damping layer leads to a more significant reduction in the fundamental frequency of the composite floor slab.Therefore,it is important to take these factors into account when designing vibration-damped composite floor slabs.

关 键 词：减振型复合楼板 三维层合理论 层间相互作用 振动舒适度 

分 类 号：TU311.3[建筑科学—结构工程]