<p>We study the glass cylinder draw and investigate the phenomenon of draw resonance—this is an instability that occurs during drawing and is characterized by oscillatory changes in the size of the cylinder shape. A linear stability analysis with various effects, such as gravity and local heating, is carried out, and the stability of the processes is analyzed. Also, a nonlinear stability analysis is analytically performed and it is proved that when the process loses stability, stable oscillations occur in the system.</p>