Abstract: Aiming at the serious vibration of complex mining equipment which caused by periodic excitation， the feeding device of largescale mining equipment was studied and its steel structure was simplified as a frame structure model. Considering material impact was the main source of vibration， the incremental harmonic balance method with nonharmonic periodic excitation was proposed. Vibration characteristics were analyzed by using the proposed method， and its accuracy and efficency were verified by Newmarkβ method. The nonlinear dynamic response which caused by the ground or the base contact and the response regular with different ground hardness were investigated. The results showed that this method is effective for analyzing the nonlinear steadystate response problems of complex mining equipment with periodic excitation.

Key words: mining equipment, frame structure, periodic excitation, steadystate response, incremental harmonic balance method