针对振动锤联动激振耦合特性，以两振动锤为对象建立动力学模型，利用拉格朗 日方法推导系统数学方程; 基于能量分布法对耦合过程中的能量分布进行求解，分析了激 振系统在各频率段的耦合规律，利用哈密顿原理推导系统振动同步的条件，得到相位差所 处的稳定区间; 构建多锤激振的同步控制系统，对耦合作用下的同步控制进行研究，确立 了相邻偏差耦合转速调节及虚拟锤点动相位调节控制方式，并进行理论分析和控制方式 的试验验证． 结果表明: 共振点的外耦合能量对相位差不产生影响，相位差有在低频区朝 零趋近、近共振区朝± π/2 趋近及超共振区朝±π 趋近的趋势; 采用相邻偏差耦合转速调 节及虚拟锤点动相位调节控制方式，系统同步效果良好．

In order to solve the coupling problem of multi-hammer excitation, firstly, a dynamic model of two vibration hammers is constructed and a mathematical equation of system is deduced by means of the Lagrangian method. Next, the energy distribution during the electromechanical coupling process is solved through the energy distribution method, the coupling laws of the excitation system in each frequency range are discussed, and the conditions of system vibration synchronization are deduced on the basis of the Hamilton principle. Thus, the stable region of phase difference is obtained. Then, a synchronous control system for multi-Hammer excitation is established to investigate the synchronous control with coupling, and a control mode on the basis of the speed regulation of adjacent deviation coupling and the dynamic phase regulation of virtual master bang-bang is proposed. Finally, both the theoretical analysis and the proposed control mode are verified by tests. The results show that (1) the coupling energy of resonance points do not affect the phase difference; (2) the phase difference tends to be zero in a low frequency range, ±π/2 in the region close to resonance and ±π in the super-harmonic resonance region; and (3) the proposed control mode achieves a good system synchronization effect.