As one of the main failure modes, embedded cracks occur in beam structures due to periodic loads. Hence it is useful to investigate the dynamic characteristics of a beam structure with an embedded crack for early crac...As one of the main failure modes, embedded cracks occur in beam structures due to periodic loads. Hence it is useful to investigate the dynamic characteristics of a beam structure with an embedded crack for early crack detection and diagnosis. A new four-beam model with local flexibilities at crack tips is developed to investigate the transverse vibration of a cantilever beam with an embedded horizontal crack; two separate beam segments are used to model the crack region to allow opening of crack surfaces. Each beam segment is considered as an Euler-Bernoulli beam. The governing equations and the matching and boundary conditions of the four-beam model are derived using Hamilton＇s principle. The natural frequencies and mode shapes of the four-beam model are calculated using the transfer matrix method. The effects of the crack length, depth, and location on the first three natural frequencies and mode shapes of the cracked cantilever beam are investigated. A continuous wavelet transform method is used to analyze the mode shapes of the cracked cantilever beam. It is shown that sudden changes in spatial variations of the wavelet coefficients of the mode shapes can be used to identify the length and location of an embedded horizontal crack. The first three natural frequencies and mode shapes of a cantilever beam with an embedded crack from the finite element method and an experimental investigation are used to validate the proposed model. Local deformations in the vicinity of the crack tips can be described by the proposed four-beam model, which cannot be captured by previous methods.展开更多
为探究配筋率和复合层厚度对ECC-NC(Engineered Cementitious Composites to Normal Concrete)复合梁抗弯性能的影响,设计了5根ECC-NC复合梁,通过四点弯曲试验,开展了ECC-NC复合梁抗弯性能研究,分析了复合梁破坏模式和裂缝发展规律,探...为探究配筋率和复合层厚度对ECC-NC(Engineered Cementitious Composites to Normal Concrete)复合梁抗弯性能的影响,设计了5根ECC-NC复合梁,通过四点弯曲试验,开展了ECC-NC复合梁抗弯性能研究,分析了复合梁破坏模式和裂缝发展规律,探讨了配筋率和复合层厚度对结构承载能力、韧性及延性的影响。研究结果表明:与普通混凝土梁相比,ECC-NC复合梁破坏模式不同,能有效发挥ECC材料特性,具有较好的抗弯性能;相同配筋率下,受拉区ECC层厚度增加,ECC-NC复合梁的抗弯承载力增强有限,弯剪区裂缝数量增多,延性增强,刚度退化缓慢,最佳复合层厚度为0.3h~0.5h;ECC层具有替代部分纵筋作用,受压与受拉区同时设置ECC层能极大地提高抗弯承载能力、延性及结构韧性;基于响应面法,配筋率对ECC-NC抗弯性能影响最大,最大配筋率与复合层厚度有关,0~0.5h呈负相关,0.5h~h间呈正相关,受压区设置ECC可提高界限配筋率,高配筋率有利于提高抗弯刚度,减缓裂缝扩展;弯曲荷载下,截面符合平截面假定,变形协调;基于条带法,建立了ECC-NC复合梁抗弯承载能力计算方法,与试验结果及已有文献数据校核,平均误差在6%以内,吻合度较高,可为工程应用提供理论支撑。ECC替代普通混凝土,不仅提高了结构抗弯承载力,还延缓了裂缝扩展,改善了复合梁带裂缝工作性能和抗裂性能,且抗弯性能较为优越。展开更多
基金Supported by National Natural Science Foundation of China(Grant Nos.51035008,51304019)National Science Foundation of USA(Grant Nos.CMMI-1000830,CMMI-1229532)+1 种基金the University of Maryland Baltimore County Directed Research Initiative Fund ProgramFundamental Research Funds for the Central Universities,China(Grant No.FRF-TP-14-123A2)
文摘As one of the main failure modes, embedded cracks occur in beam structures due to periodic loads. Hence it is useful to investigate the dynamic characteristics of a beam structure with an embedded crack for early crack detection and diagnosis. A new four-beam model with local flexibilities at crack tips is developed to investigate the transverse vibration of a cantilever beam with an embedded horizontal crack; two separate beam segments are used to model the crack region to allow opening of crack surfaces. Each beam segment is considered as an Euler-Bernoulli beam. The governing equations and the matching and boundary conditions of the four-beam model are derived using Hamilton＇s principle. The natural frequencies and mode shapes of the four-beam model are calculated using the transfer matrix method. The effects of the crack length, depth, and location on the first three natural frequencies and mode shapes of the cracked cantilever beam are investigated. A continuous wavelet transform method is used to analyze the mode shapes of the cracked cantilever beam. It is shown that sudden changes in spatial variations of the wavelet coefficients of the mode shapes can be used to identify the length and location of an embedded horizontal crack. The first three natural frequencies and mode shapes of a cantilever beam with an embedded crack from the finite element method and an experimental investigation are used to validate the proposed model. Local deformations in the vicinity of the crack tips can be described by the proposed four-beam model, which cannot be captured by previous methods.
文摘为探究配筋率和复合层厚度对ECC-NC(Engineered Cementitious Composites to Normal Concrete)复合梁抗弯性能的影响,设计了5根ECC-NC复合梁,通过四点弯曲试验,开展了ECC-NC复合梁抗弯性能研究,分析了复合梁破坏模式和裂缝发展规律,探讨了配筋率和复合层厚度对结构承载能力、韧性及延性的影响。研究结果表明:与普通混凝土梁相比,ECC-NC复合梁破坏模式不同,能有效发挥ECC材料特性,具有较好的抗弯性能;相同配筋率下,受拉区ECC层厚度增加,ECC-NC复合梁的抗弯承载力增强有限,弯剪区裂缝数量增多,延性增强,刚度退化缓慢,最佳复合层厚度为0.3h~0.5h;ECC层具有替代部分纵筋作用,受压与受拉区同时设置ECC层能极大地提高抗弯承载能力、延性及结构韧性;基于响应面法,配筋率对ECC-NC抗弯性能影响最大,最大配筋率与复合层厚度有关,0~0.5h呈负相关,0.5h~h间呈正相关,受压区设置ECC可提高界限配筋率,高配筋率有利于提高抗弯刚度,减缓裂缝扩展;弯曲荷载下,截面符合平截面假定,变形协调;基于条带法,建立了ECC-NC复合梁抗弯承载能力计算方法,与试验结果及已有文献数据校核,平均误差在6%以内,吻合度较高,可为工程应用提供理论支撑。ECC替代普通混凝土,不仅提高了结构抗弯承载力,还延缓了裂缝扩展,改善了复合梁带裂缝工作性能和抗裂性能,且抗弯性能较为优越。
