边坡全长黏结锚杆自由振动特性分析

发布时间：2018-03-02 13:38

本文选题：全长黏结锚杆　切入点：自由振动　出处：《土木工程学报》2015年11期 　论文类型：期刊论文

【摘要】：假定锚杆及周边岩土体均视为连续均质的线性弹性体,锚杆与周边岩土体之间相互作用采用一线性弹簧和线性阻尼壶平行耦合方式模拟,以此建立了边坡全长黏结锚杆锚固系统自由振动力学模型,获得了锚固系统特征参数及对应振型计算公式,通过算例,结合他人锚杆锚固系统连续模型,对比验证了本文理论计算公式的可行性;指出边坡全长黏结锚杆锚固系统振动控制方程等式只可能小于零,振型函数共有三种类型,均对应三角函数型,按指数规律衰减的非周期蠕动,其中Ⅰ阶最小特征参数λ值对应第2类振动形式,之后振动类型1和2交替出现,类型1比类型2衰减特性明显,第3类特殊振动只有在锚固系统内部物理力学参数满足一定条件才能发生;各阶锚固系统特征参数λ中,对应第2类振型的λ对锚固系统的动力力学响应影响较大,尤以Ⅰ阶最为突出。开展此项研究,可为边坡锚杆锚固系统动力分析及锚固工程防灾减灾提供理论支撑,均具有重要的理论和实践意义。
[Abstract]:It is assumed that the anchor rod and surrounding rock and soil are considered as continuous homogeneous linear elastomer, and the interaction between anchor rod and surrounding rock and soil is simulated by a linear spring and a linear damping pot parallel coupling method. Based on this model, the free vibration dynamic model of the anchoring system is established, and the characteristic parameters of the anchoring system and the corresponding vibration model are obtained. Through an example, the continuous model of the anchoring system is combined with other anchors. It is pointed out that the equation of vibration control of the full-length anchoring system of the slope can only be less than zero, and there are three types of mode function, all corresponding to trigonometric function. The non-periodic peristalsis attenuated according to exponential law, where the first order minimum characteristic parameter 位 value corresponds to the second type vibration form, and then the vibration type 1 and 2 alternately appear. Type 1 is more obvious than type 2 in attenuation characteristic. The third kind of special vibration can occur only when the physical and mechanical parameters of the Anchorage system satisfy certain conditions, and the characteristic parameters 位 of each order Anchorage system have great influence on the dynamic mechanical response of the anchoring system. This study can provide theoretical support for dynamic analysis of anchoring system of slope and prevention and mitigation of anchoring engineering, which has important theoretical and practical significance.
【作者单位】：兰州大学土木工程与力学学院;兰州大学西部灾害与环境力学教育部重点实验室;台州学院;
【基金】：国家自然科学基金(51308273,41372307) 浙江省自然科学基金(LY13E080008)
【分类号】：TU435;TU476

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