Various methods (1000, 1100) can be employed to apply a braided product to an irregular core. Application can occur while preserving the integrity of the braided structure. A system (200) can be designed in turn to apply a braided product to an irregular core (212). The system can include a mandrel (206) that prevents distortion of the braid during application. System (200) can additionally include a pinch clamp (210) and cam track assembly (214) that are designed based at least in part on the irregular core (212). Further, a mandrel (100) can be designed to prevent distortion of braiding of a braided structure by maintaining constant length in all directions.