Abstract:To analyze the horizontal dynamic responses of a pile considering the interaction between the pile and surrounding soil, the layered soil resistance coefficient method, which is based on the Winkler model, is widely used in engineering. Shear action of soil around piles is neglected in this method, which does not correspond with engineering practices. Also, application of the transfer matrix method or central difference method in resolving the dynamic response of variable cross-section piles, such as belled piles, wedge piles, etc., has some challenges. This paper proposes an approximate calculation method for the horizontal dynamic response analysis of piles based on the Pasternak model and the Adomian decomposition method, in which shear actions of the soil around the pile were considered. The method has a simple solution procedure and is suitable for the problems of variable cross-section piles. Using this method, the horizontal dynamic response of the belled pile and influencing factors on this response were analyzed. Results indicated that the expansion radius and elastic modulus of the soil around the upper pile had an important impact on the horizontal dynamic response of the pile. In addition, the amplitude of the horizontal vibrational displacement of the pile gradually decreased with increasing radius of the expansion and elastic modulus of the soil around the upper pile. Also, the shear action of soil on the pile should be taken into account under low frequency load excitation.