Algorithm for determining the unbalances of continuous mixers rotors

The paper presents a design model of a continuous mixer, which employs working shafts with kneading and scraping blades as the equivalent rotors. The rotors are represented in the orthogonal system x, y, z. An algorithm for reducing a three-dimensional system to flat ones using three-dimensional simulation is proposed to simplify further calculations. The inertia and the mass moments of the rotors’ structural elements were determined for the specific parameters of the parts obtained by blanks casting taking into account the accuracy classes. The conducted research allowed developing recommendations for choosing rational methods for manufacturing parts of continuous mixers and optimal parameters for the operation of the mixer.

Quantifying Turing: A Systems Approach to Quantitatively Assessing the Degree of Autonomy of Any System

This paper describes a method by which the degree of autonomy of a system can be quantified in a manner that allows comparison between systems. The methodology re-visits, refines and extends the Contextual Autonomous Capability (CAC) model proposed by the National Institute of Science and Technology (NIST) by defining three orthogonal system metrics against which the performance of a system may be assessed. During the development of this model, it was recognized that there existed two different but coupled domains of autonomy- the Executive Autonomy describing the degree of independence of a system during the execution of the mission; and the Developmental Autonomy describing the degree of independence of the system during preparation for the mission. The resulting methodology is explicitly developed to be system agnostic such that it could be applied to humans as well as computerized systems. As such, it provides a means of quantifiably comparing the performance of any two systems- including human and computer- that are performing comparable sets of missions. The proposed model is called the System-agnostic Quantification of Autonomy Levels (SQuAL) model.

Pseudohyperbolic distance and n-best rational approximation in H^2 space

Through reducing the problem to rational orthogonal system (Takenaka-Malmquist system), this note gives a proof for existence of n-best rational approximation to functions in the Hardy H^2(D) space by using pseudohyperbolic distance.

Three-Axis Level with WiFi Connection

The Three-Axial Level (TAL) device measures the angular inclination around the three axes of the orthogonal system. It consists of a tripleaxis magnetometer sensor with I2C transmission and a NodeMCU V3 development board with WiFi module integrated. The device processes data from sensor, displays it on its screen and also transmits the angular values to various PADs (Portable Access Device). The experimental testing confirmed the initial expectation, showing the properly on-site operation of the designed device. This device is useful in the supervising process to avoid perturbing the worker that performs the leveling operation or when the working place is hard to reach.

Constructing and researching quasispectral orthogonal polynomials on the basis of Lagerr polynomials

An orthogonal system of polynomials is constructed in the basis of Lagerra polynomials, and the problem of approximation of a function in the constructed orthogonal basis is considered. During the computational experiment, the influence of various errors on the approximation was investigated on model problems.