拉索—多支撑系统索力识别研究
发布时间：2018-10-18 20:21
【摘要】：频率法凭借其方便、快速、可重复测试等特点在工程中得到了广泛的应用。实际工程中，安装于拉索上的减振器、减振架、支承架等将拉索分成多跨形成拉索-多个支撑系统，使得索力与频率之间的对应关系变得十分复杂，传统的单跨拉索索力与频率关系不再适用。本文根据支撑的不同形式将该类拉索分成拉索-双阻尼系统和拉索-中间弹性支撑系统，，分别对他们的索力识别展开研究。 （1）拉索-双阻尼系统索力识别：结合工程实构造了由Kelvin模型和标准线性固体模型组合而成的拉索-双阻尼系统计算模型，并推导了该系统的无量纲复频率方程和复频率近似表达式；根据复频率的精确及近似解对拉索系统的模态阻尼及频率比进行参数分析，并依据频率比推得可以用于频率法的索力-频率迭代关系。 （2）基于动力刚度法的拉索-中间弹性支撑系统索力计算：基于动力刚度法建立拉索频率与索力之间的关系，通过引入无量纲参数，分析中间弹性支撑对索力计算的具体影响，并根据动力刚度法频率求解的本质提出一种已知频率计算索力的方法。 （3）基于振型的复杂边界条件拉索索力估算：通过模态测试找出拉索相邻支撑之间的两个振型驻点，将驻点之间索段视为两端铰接的等效模型，根据等效模型索力-频率关系计算等效索力，并将等效索力近似作为原索索力。通过误差分析证明，只要合理建立等效模型便可忽略原索边界条件的影响。
[Abstract]:Frequency method has been widely used in engineering because of its convenience, speed and repeatability. In practical engineering, the shock absorbers, vibration absorbers and supports installed on the cables are divided into multiple spans to form a cable support system, which makes the relationship between the cable force and the frequency become very complicated. The traditional single-span cable force and frequency relationship is no longer applicable. In this paper, according to the different forms of bracing, the cables are divided into cable-double damping system and cable-intermediate elastic bracing system. Their cable force identification is studied respectively. (1) Cable force identification of cable-double damped system: combined with engineering reality, a calculation model of cable-double damping system, which is composed of Kelvin model and standard linear solid model, is constructed. The dimensionless complex frequency equation and the approximate expression of complex frequency are derived, and the modal damping and frequency ratio of cable system are analyzed according to the exact and approximate solution of complex frequency. According to the frequency ratio, the relationship between cable force and frequency iteration can be obtained. (2) calculation of cable force based on dynamic stiffness method: the relationship between cable frequency and cable force is established based on dynamic stiffness method. By introducing dimensionless parameters, the concrete influence of intermediate elastic bracing on the calculation of cable force is analyzed. According to the nature of the frequency solution of dynamic stiffness method, a method of calculating cable force with known frequency is proposed. (3) complex boundary conditions based on vibration mode to estimate cable force: through modal test to find out between adjacent braces of cable Two stop points of the two modes of the The cable segment between the stationary points is regarded as an equivalent model with two ends hinged. The equivalent cable force is calculated according to the relationship between the cable force and the frequency of the equivalent model, and the equivalent cable force is approximated as the original cable force. It is proved by error analysis that the influence of the original cable boundary condition can be neglected if the equivalent model is established reasonably.
【学位授予单位】：湖南大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：U446
本文编号：2280266
[Abstract]:Frequency method has been widely used in engineering because of its convenience, speed and repeatability. In practical engineering, the shock absorbers, vibration absorbers and supports installed on the cables are divided into multiple spans to form a cable support system, which makes the relationship between the cable force and the frequency become very complicated. The traditional single-span cable force and frequency relationship is no longer applicable. In this paper, according to the different forms of bracing, the cables are divided into cable-double damping system and cable-intermediate elastic bracing system. Their cable force identification is studied respectively. (1) Cable force identification of cable-double damped system: combined with engineering reality, a calculation model of cable-double damping system, which is composed of Kelvin model and standard linear solid model, is constructed. The dimensionless complex frequency equation and the approximate expression of complex frequency are derived, and the modal damping and frequency ratio of cable system are analyzed according to the exact and approximate solution of complex frequency. According to the frequency ratio, the relationship between cable force and frequency iteration can be obtained. (2) calculation of cable force based on dynamic stiffness method: the relationship between cable frequency and cable force is established based on dynamic stiffness method. By introducing dimensionless parameters, the concrete influence of intermediate elastic bracing on the calculation of cable force is analyzed. According to the nature of the frequency solution of dynamic stiffness method, a method of calculating cable force with known frequency is proposed. (3) complex boundary conditions based on vibration mode to estimate cable force: through modal test to find out between adjacent braces of cable Two stop points of the two modes of the The cable segment between the stationary points is regarded as an equivalent model with two ends hinged. The equivalent cable force is calculated according to the relationship between the cable force and the frequency of the equivalent model, and the equivalent cable force is approximated as the original cable force. It is proved by error analysis that the influence of the original cable boundary condition can be neglected if the equivalent model is established reasonably.
【学位授予单位】：湖南大学
【学位级别】：硕士
【学位授予年份】：2014
【分类号】：U446
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本文编号：2280266
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