Abstract: In engineering projects such as storage yards and roadbeds in soft soil areas, foundation soils often bear cyclic loads with both constant load maintenance and intermittent characteristics, where their long-term performance and consolidation deformation directly affect engineering safety. However, existing composite foundation research primarily focuses on homogeneous soils or single loading modes, leaving insufficient investigation into consolidation responses under complex cyclic loading. To address this, this paper establishes a consolidation control equation for undrained pile composite foundations considering soil stratification based on the equivalent average strain assumption. Using Fourier series to characterize trapezoidal cyclic loads encompassing loading, holding, unloading, and intermittent phases, analytical solutions for excess pore water pressure and effective stress are derived. The findings reveal that a larger influence zone-to-pile diameter ratio increases the proportion of load borne by the soil, leading to higher effective stress peaks but reduced fluctuation amplitude. Under identical peak loads, the effective stress peaks generated by rectangular, trapezoidal, and triangular cyclic loads exhibit a sequential decreasing trend. This difference stems from variations in average stress levels and peak duration across the three loading patterns, specifically with trapezoidal loads decreasing by approximately 21% compared to rectangular loads and triangular loads declining by about 46% relative to rectangular loads. Prolonging the loading cycle elevates effective stress peaks, while extending the intermittent period facilitates pore pressure dissipation and reduces effective stress accumulation levels.