>> 自然科学版期刊 >> 2018年05期 >> 正文
火灾时钢筋混凝土板振动微分方程的建立及动力特性的求解
供稿: 高立堂;褚桂;勋王都 时间: 2018-09-29 次数:

作者:高立堂;褚桂勋;王都

作者单位:青岛理工大学土木工程学院

摘要:为得到火灾时钢筋混凝土板动力特性随时间的演变规律,本文结合火灾损伤识别理论和经典薄板振动理论,研究了火灾时钢筋混凝土楼板的振动特性。将钢筋混凝土板沿厚度方向分割板带,假设为横观各向同性板,且考虑在升温过程中,由于中性轴位置不断上移引起的板内应力分布变化,从而引起动力响应变化。建立火灾时楼板振动基本微分方程,并求解方程,得到动力特性解析式。将一维热传导解代入刚度项,并沿板厚度方向进行积分,得到楼板刚度随受火时间的演变规律。规定损伤界限,最终得到以刚度为枢纽、以频率为动力识别指纹参数的火灾后钢筋混凝土损伤识别方法。

基金:国家自然科学基金资助项目(51178232/E080804);

关键词:火灾;钢筋混凝土板;横观各向同性;中性轴;振动微分方程;振动识别;

Abstract:Dynamic characteristics of reinforced concrete slab in fire are changed over time, and the change law is useful for damage identification of concrete slabs after fire. In this paper, the vibration characteristics of reinforced concrete slabs in fire were investigated based on fire damage identification theory and classical thin plate vibration theory. The reinforced concrete slab was divided along the thickness direction and was assumed as the transversely isotropic plate. Moreover, in process of heating, the position of the neutral axis caused the changes of stress distribution in the plate. Therefore, the changes of dynamic response during the process were considered. The basic differential equation of vibration of the building was built, and the dynamic characteristics were obtained through the equation. Then, the one-dimensional heat conduction was entered into the stiffness. The floor stiffness across fire evolution was obtained through the thickness direction integral. Finally, the damage limit and stiffness hinge was obtained. The damage identification method of reinforced concrete after fire was presented by using frequency as fingerprint parameter.

DOI:10.16186/j.cnki.1673-9787.2018.05.21

分类号:TU352.5;TU375.2

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