This paper presents a design procedure based on integration of the solution variants method and axiomatic design as choice criteria during the conceptual design phase. In order to evaluate the design procedure was choice a real problem related to the transmission system of a vertical twin screw head applied to a desktop experimental 3D printer. The main technical and research opportunities of the case study (3D printer head) include the use of powder as raw material in small quantities (around 200 g) for exploration of 4D printing through formulating of compounds and polymer blends, as well filament generation. To be compact due small work envelope; provide to access to fast assembly, disassembly, and maintenance and generate a torque next to 15 N.m are the main technical characteristics required for driven system of 3D head. Considering the different gears geometry and configuration including flexible transmissions options, the solution variants method was choice as screening criteria to ranking the feasible solutions. Based on weighting order, method allowed establishing multifactorial criteria, organized in a hierarchical tree. According this method, the conceptual design option obtained higher value was a worm screw gear for use as power transmission in case study. The use of axiomatic design allowed exploring the relations between functional and technical domains of the driven system. In order to measure the robustness of the conceptual solution obtained through this design procedure was estimated the indices of reangularity and semangularity from axiom of the independence whose value were 0.838 and 0.500.