| 纤维增强聚合物加固黏弹性Timoshenko裂纹梁的弯曲变形 |
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| 引用本文： | 付超,杨骁.纤维增强聚合物加固黏弹性Timoshenko裂纹梁的弯曲变形[J].信阳师范学院学报(自然科学版),2019(2):327-332. |
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| 作者姓名： | 付超 杨骁 |
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| 作者单位： | 上海大学土木工程系;信阳师范学院建筑与土木工程学院 |
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| 摘 要： | 将裂纹的缝隙效应和FRP加固作用等效为黏弹性组合弹簧,推导出Laplace变换域内FRP加固黏弹性裂纹梁的等效抗弯刚度.基于标准线性固体本构关系和Laplace变换,获得了具有任意开闭裂纹数目FRP加固黏弹性梁弯曲的解析解.数值算例说明,AFRP布可有效地削弱裂纹效应,且裂纹梁的变形与跨高比成反比例关系;受AFRP布加固作用影响,裂纹深度和荷载的改变对梁变形的影响并不明显.
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| 关 键 词： | 黏弹性 开闭裂纹 Timoshenko梁 Laplace变换 广义函数 参数分析 |
Bending Solution of Viscoelastic Timoshenko Cracked Beam Strenghened with Fibre Reinforced Polymer |
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| Institution: | ,Department of Civil Engineering,Shanghai University,College of Architecture and Civil Engineering,Xinyang Normal University |
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| Abstract: | Considering the effects of crack gap and strenghening with Fibre Reinforcement Polymer( FRP) as a viscoelastic combination spring,the equivalent flexural rigidity of the cracked beam bonded with FRP sheet in Laplace transformed domain is presented. By using the standard linear solid viscoelastic constitutive relation and Laplace's transformation method,the explicit analytical solutions in time domain for the bending of the viscoelastic beam with an arbitrary number of cracks and FRP sheet reinforcement are derived. By numerical examples,it is stated that FRP sheet has an weakening influence on the crack effect,and the bending solution is inversely proportional to the slender ratio; Strenghened with AFRP sheet reiforcement,the fluctuation of the crack depth and load have less influence on the cracked beam bending. |
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| Keywords: | viscoelasticity switched crack Timoshenko beam Laplace transform generalized function parameter study |
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