Modelling of Yarn Count and Speed of Delivery Roll to Yarn Strength in Spinning Machines Based On Analytical Mechanics

Abstract

In textile, the application of analytical mechanics can be found in a spinning process. The aim of this research is to determine a model as well as to predict the yarn strength of ring- spun yarn influenced by the yarn count number (in unit m/g) and also the delivery speed of yarn (vf). In this article, the yarn count and the speed of delivery roll of ring-spun yarn were studied comprehensively, and based on this, a ring-spun yarn strength prediction model has been found and established by analytical mechanics.

Tensor analysis of tornadoes: a new analytical and numerical model

“…We can extend the model by using Cauchy's equation in Eq. ( 8) and the generalized equation of motion in 3D movement proposed by [22] as in Eqs. ( 9) and ( 10):…”

“…Assuming that = ( ) + ( ) = 𝜎 , and 𝜎 = 𝜎 = 𝜎 = 𝜎 = 𝜎 = 0, hence we get 𝑒 = , 𝑒 = −𝑣 , and 𝑒 = −𝑣 , 𝑒 = 𝑒 = 𝑒 = 0, and we find Eqs. ( 20) to (22):…”

“…As a result, hurricanes hardly form in tropical areas and never cross the Equator [19][20][21]. This study gives a simple 2D and 3D model for generating a tornado-like vortex utilizing an advanced model and computation using tensor analysis reported by various researchers [20,22]. The scientific application of this finding is that researchers at the Meteorology, Climatology, and Geophysics Agency will be able to analyze a tornado and geophysical phenomena more readily with simulations and models [5,23].…”