Computer implementation of a recursion algorithm for determining the tension of a thread on technological equipment based on the derived mathematical dependences

Computer simulation of multiple measurements of logarithmic transformation function by two approaches

“…Thus, with the first approach, the value of the relative error d will be 0.75⋅10 -3 %, and with the second -0.02⋅10 -3 %. Thus, processing the results of intermediate measurements according to equation (8) shows an order of magnitude lower relative error of multiple measurements than processing the results obtained according to equation (7).…”

“…With the second approach, the current value of the radiation flux F x was determined for each measurement cycle in accordance with the redundant measurement equation (5). Then, according to equation (8), the obtained values were averaged, which allowed determining the value of the controlled radiation flux F x = 1.0000002⋅10 -3 W. It was found that the value of the relative error d with the second approach will be 0.02⋅10 -3 %.…”

“…This is due to the influence of the environment on the measuring channel with the sensor, as well as material aging. To overcome this problem, the works [8,9] give appropriate calculation algorithms, which resulted in the improvement of the output sensor signal under different conditions. However, these works do not define exactly how to perform calculations for the nonlinear transformation function with unstable parameters, which, in turn, are components of systematic error.…”

Комп’ютерний Аналіз Системи Подачі Ниток З Використання Програмного Комплексу Для Реалізації Алгоритму Рекурсії При Визначенні Технологічних Навантажень

“…Аналіз джерел Визначення впливу структури одношарових та багатошарових тканин на умови формування на ткацьких верстатах є важливим завданням [1,[7][8][9]. При визначенні умов формування одношарових та багатошарових тканин [3,4] необхідно визначати величину натягу основних ниток по зонах заправки ткацького верстата у статичних та динамічних умовах [8]. Це дозволяє вдосконалити технологію їх виготовлення, модернізувати ткацький верстат і підвищити якість одношарових і багатошарових тканин, що випускаються.…”

Experimental method for determining the deformation of warp threads on looms

“…Of interest is work [13], which considers a study on the computer implementation of the algorithm for determining the tension of the thread on a loom and a circular knitting machine using recursion; its computer implementation was shown. Experimental studies were carried out to determine the joint effect of the tension of the driven branch of the thread, the radius of the guide, and the calculated value of the angle of coverage, on the tension of the leading branch of the thread.…”