The main aim of this paper is the use of the rotation minimizing frame for the singularity type classification of timelike sweeping surface in Minkowski 3–Space $\mathbb{E}_{1}^{3}$. Then, we give conditions for a timelike sweeping surface to be developable ruled surfaces. To apply and illustrate the main results, some examples are given.%

In this study, we construct ruled surfaces whose Disteli-axis is constant in dual 3-space D^3_1 . Then we attain a general system characterizing these surfaces, and also give characterizations for a ruled surface to get a constant Disteli-axis. As a result, the ruled surface formed by a line undergoing a screw motion is investigated.