A method of making a part by an additive manufacturing process includes the steps of: (a) supporting a build platform on a support surface; (b) traversing a powder dispenser positioned above the support surface across the build platform, while dispensing powder from the powder dispenser, so as to deposit the powder over the build platform; (c) traversing the build platform with a scraper to scrape the deposited powder, so as to form a layer increment of powder; (d) using a directed energy source to fuse the layer increment of powder in a pattern corresponding to a cross-sectional layer of the part; and (e) repeating in a cycle steps (b) through (d) to build up the part in a layer-by-layer fashion.