Influence of cam profile errors in a modulator on the dynamic response of the heald frame

Abstract This research endeavors to analyze the dynamic characteristics of the dobby, particularly the influence of a modulator on the dynamic response of the heald frame. By constructing precise kinematic and dynamic mathematical models and employing efficient computational algorithms, this study delves into the motion behavior of dobby. Component elastic deformation is considered, and a detailed analysis of the heald frame’s vibrational properties is conducted. With the establishment of dynamic and kinematic equations, coupled with Taylor series expansion and partial derivative techniques, the displacement errors were accurately calculated. The implementation of the fourth-order Runge–Kutta method facilitated numerical simulation, allowing for the analysis of the effect of cam profile errors on vibrational characteristics. The findings indicate that cam profile machining and system errors significantly influence the vibration amplitude under high-speed conditions. Consequently, this research highlights the imperative to control operating speeds in the design and operation of dobby and enhance vibration stability through precise machining of cam profiles, using high-precision equipment, and regular maintenance, which are essential for optimized design and improved stability and reliability.