索拱组合结构1:1内共振及其参数影响
发布时间：2018-11-01 16:05
【摘要】：研究土木工程中索拱组合结构的1:1内共振及其参数影响,可为拱桥施工中振动控制提供依据。利用索拱连接条件和边界条件,忽略索拱纵向振动,考虑索拱的几何非线性,运用Hamilton变分原理研究了拱出现主共振情形下索拱的1:1内共振问题,并建立了索拱的面内耦合非线性振动方程。运用Galerkin和多尺度摄动,以某拱桥施工中的结构为例,研究了索拱相互作用时的能量转换过程,数值模拟分析了索、拱主要参数对索拱幅频响应的影响。研究结果表明:结构体系产生内共振时,索拱的时程曲线呈现此消彼长的现象,能量在索拱之间相互转换,拱对索的振动影响更为明显;索、拱参数对索的非线性振动特性影响显著,对拱的振动影响很小。
[Abstract]:The study of 1:1 internal resonance of cable-arch composite structure in civil engineering and its influence on parameters can provide basis for vibration control of arch bridge construction. Based on the connection conditions and boundary conditions of cable-arch, the longitudinal vibration of cable-arch is ignored, and the geometric nonlinearity of cable-arch is considered. By using Hamilton variational principle, the problem of intra-1:1 resonance of cable-arch in the presence of main resonance is studied. The nonlinear vibration equation of cable arch in plane coupling is established. Using Galerkin and multi-scale perturbation, taking the structure of an arch bridge as an example, the energy conversion process of cable-arch interaction is studied, and the influence of main parameters of cable and arch on the amplitude and frequency response of cable arch is analyzed numerically. The results show that the time history curve of cable-arch changes with each other when the internal resonance is produced in the structure system, and the energy is transformed between the cable-arch, and the effect of arch on the vibration of cable is more obvious. The parameters of cable and arch have a significant effect on the nonlinear vibration characteristics of cable, but have little effect on the vibration of arch.
【作者单位】： 仲恺农业工程学院城市建设学院;湖南大学土木工程学院;
【基金】：国家自然科学基金(11572117)
【分类号】：O327
本文编号：2304419
[Abstract]:The study of 1:1 internal resonance of cable-arch composite structure in civil engineering and its influence on parameters can provide basis for vibration control of arch bridge construction. Based on the connection conditions and boundary conditions of cable-arch, the longitudinal vibration of cable-arch is ignored, and the geometric nonlinearity of cable-arch is considered. By using Hamilton variational principle, the problem of intra-1:1 resonance of cable-arch in the presence of main resonance is studied. The nonlinear vibration equation of cable arch in plane coupling is established. Using Galerkin and multi-scale perturbation, taking the structure of an arch bridge as an example, the energy conversion process of cable-arch interaction is studied, and the influence of main parameters of cable and arch on the amplitude and frequency response of cable arch is analyzed numerically. The results show that the time history curve of cable-arch changes with each other when the internal resonance is produced in the structure system, and the energy is transformed between the cable-arch, and the effect of arch on the vibration of cable is more obvious. The parameters of cable and arch have a significant effect on the nonlinear vibration characteristics of cable, but have little effect on the vibration of arch.
【作者单位】： 仲恺农业工程学院城市建设学院;湖南大学土木工程学院;
【基金】：国家自然科学基金(11572117)
【分类号】：O327
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