The Smoothed Particle Hydrodynamics (SPH) method is widely adopted for simulating free-surface fluid flows, yet it encounters  challenges in accurately modeling droplet impact on microcone-structured surfaces.This work presents a nonlocal SPH method to simulate complex three-dimensional pancake bouncing dynamics of droplets on superhydrophobic microcone arrays. For the simulation of droplet surface tension, ntermolecular  attractive forces are introduced. The relationship between these attractive forces and the surface tension coefficient is rigorously derived, eliminating the need for non-universal and potentially unreliable empirical adjustments of attraction parameter. The microcone array structure presents fundamental challenges for normal direction determination and causes conventional contact algorithms to fail or become unstable. To address this, a nonlocal contact repulsion acting on fluid particles is introduced, which indirectly regulates fluid dynamics to enable stable pancake bouncing simulation. Numerical simulations are conducted for various scenarios and validated against experimental data, demonstrating the accuracy and stability of the proposed method.