边坡锚杆锚固系统固有频率及其参数影响分析

基于一定假定,建立了边坡锚杆锚固系统自由振动力学模型,获得了锚固系统固有频率及对应振型计算公式,通过算例,对比验证了理论计算公式的可行性；同时,还分别从锚杆长度、坡面附加质量以及刚度系数三方面开展了边坡锚固系统固有频率参数影响分析,探讨了之间内在规律：锚杆长度和值均对低阶固有频率的影响较小,而对高阶固有频率大小影响则较大；附加质量对锚固系统固有频率影响较小；边坡锚固系统在一定条件下具有线性振型固有频率。

Natural frequency and parameter influence of slope anchorage system

According to some assumptions, the dynamic mechanical model for slope anchorage system is established for free vibration. Some formulas for the natural frequency and the corresponding vibration modes of anchorage system are deduced. Compared to that of the other methods, the feasibility of the theoretical formulas is verified through a specific example. Meanwhile, the natural frequency of slope anchorage system is analyzed under the influence of different parameters, anchor length, equivalent lumped mass and stiffness coefficient . The inherent laws between them are discussed. It is found that the anchor length and the value of stiffness coefficient have less effect on the low-order natural frequency, and their impact on the size of high-order natural frequency is larger. The equivalent lumped mass has less effect on the natural frequency of slope anchorage system. The slope anchorage system has the natural frequency of linear vibration mode under certain conditions.