基于阻尼相关系数的锚杆瞬态响应的数学模型

研究锚杆体-锚固介质系统共同作用时弹性波的传播规律,采用与应变相关的阻尼器和与速度相关的阻尼器并行耦合来模拟锚固介质与锚杆体间相互作用,建立锚杆瞬态动测响应的数学模型,讨论其反射特性,通过该模型得出的理论瞬态响应曲线,与实测结果基本吻合,同时发现K1(等效应变阻尼系数)和K2(等效速度阻尼系数)与锚固介质和锚杆体间相互耦合效果相关,K1决定弹性波沿杆体传播能量衰减的速率,K2决定弹性波在杆体某处振动能量的衰减速率。

The Mathematical Models of Transient Response for Anchor Rod Based on Damped Correlative Coefficient

The paper mainly studies the role that elasticity wave spreads in ground anchoring system which adopts the damper correlative with strain and the damper correlative with velocity parallel coupling to simulate the act between anchor rod and anchor medium,establishes the mathematic model of anchor's transient vibration response,and describes the characteristic of reflected wave.This model is proved to be correct by comparing it with actual result.According to academic response curve,we discover K1(damp coefficient correlative with strain) and K2(damp coefficient correlative with velocity) are related to anchoring quality.Meanwhile,the energy attenuation of elasticity wave spreading in anchor rod is decided by K1 and the energy attenuation of vibration in certain place is decided by K2.