A system for additively manufacturing a build part. The system includes a build platform configured for disposition within a resin tank, and a light source configured to cure a layer of resin. The layer of resin is disposed adjacent to a pre-cure build surface of the build part. The system also includes a constrained surface located between the build platform and the light source and configured to form a boundary for the layer of resin disposed between the constrained surface and the pre-cure build surface. The constrained surface is configured to vibrate to reduce a separation force required to separate the constrained surface from a post-cure build surface of the build part. The system also includes a vibratory source configured to vibrate the constrained surface.