Balkan Journal of Applied Mathematics and Informatics

MODELLING A MASS-SPRING SYSTEM USING A SECOND-ORDER HOMOGENEOUS LINEAR ORDINARY DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS

Violeta Krcheva — Tue, 11 Jun 2024 18:45:46 +0000

In this paper, a mass-spring system is considered. The system is modelled using a second-order homogeneous linear (ODE) with constant coefficients. Using this model, the behaviour of the system is studied. The most significant factor, the value of the damping, determines whether the case occurs: no damping, underdamping, critical damping, or overdamping. Each case is mathematically analysed to get particular parameters that impact how the motion system performs. The obtained solution, which demonstrates the behaviour of the system in a diagram plot of a displacement-time graph and a phase plane graph, is graphically presented in MATLAB software.

SCADA PROCESS VARIABLES MONITIORING INTEGRATED IN RF NETWORK

Maja Kukuseva Paneva, Goce Stefanov, Sara Stefanova — Tue, 11 Jun 2024 18:55:00 +0000

In this paper results fromt the developed design and practical implementation of the SCADA system are represented. The solution collects, measures, stores and displays the process data in an industrial plant. The SCADA system includes IoT RF communication between MASTER and SLAVE stations. Some of the hardware sensors and components are installed in SLAVE station and some in MASTER station. The communication between the SLAVE and MASTER stations is ensured by a microcomputer and RF modules.

AUTOMATED PROCESSING LINE FOR EFFICIENT SORTING OF WASTE RECYCLABLE MATERIALS

Todor Cekerovski, Dalibor Serafimovski, Ana Eftimova, Filip Stojchevski — Tue, 11 Jun 2024 18:58:12 +0000

This paper is considering the implementation of a modern automated processing line designed to enhance the efficiency of waste material sorting. With a focus on delivering products of optimal quality and quantity within defined timeframes, the research uses a comprehensive methodology integrating advanced automation techniques. Through an examination of the complex dynamics inherent in sorting processes, the research not only addresses fundamental challenges in waste management understanding but also highlights positive environmental outcomes and promotes ecological integrity. The integration of automated systems not only aims to improve productivity and staff working conditions but also aligns with the imperative of promoting a more ecologically sustainable environment. The architectural layout of the facility is strategically organized into two specialized zones, including the reception area for waste intake and sorting and preprocessing section utilizing advanced technologies. These identified zones collectively form the backbone of the facility’s infrastructure, ensuring a systematic and effective approach to waste management.

AUTONOMOUS SOLUTIONS FOR DESIGN AND IMPLEMENTATION OF MODULAR STRUCTURES

Todor Cekerovski, Marija Cekerovska, Filip Stojchevski, Ana Eftimova — Tue, 11 Jun 2024 19:00:29 +0000

Our objective with this paper is to analyze and explore emerging autonomous solutions for designing and implementing modular structures. Modular structures have been in use since the 1950s, so the concept is not new to us. Historically, the popularity of modular structures peaked following catastrophic natural disasters or wars, in areas that required rapid rebuilding. However, modular construction somewhat fell out of favor afterward. Nowadays, its popularity is resurging, becoming a notable trend once again. The robots employed in modular construction offer distinct advantages over those used in traditional construction, with streamlined tasks and enhanced efficiency. In this paper, we plan to analyze drones, loaders, cranes, and worker bots. These robots will serve various roles, including observation, construction, organization, and excavation. Furthermore, we aim to integrate these robots with cutting-edge technologies such as artificial intelligence, augmented and virtual reality, the internet of things, cloud services, and building information modeling - BIM.

IMPLEMENTATION OF SCADA SYSTEM FOR REMOTE MONITORING AND POWER METERING IN RF AND IoT NETWORKS

Goce Gjorgi Stefanov, Vlatko Cingoski — Tue, 11 Jun 2024 19:03:02 +0000

This paper represents the results of the development, design, and practical implementation of the SCADA monitoring power meter system. This power meter system is implemented in RF and IoT networks.The solution has been tasked with collecting, measuring, storing, and visualizing energydata (voltage, current, power, energy, reactive power, reactive energy, and power factor), as well as appropriate process data in two remote industrial plants. In the first plant, the first energy measuring point marked as the MASTER station is located, and in the second plant, the second energy measuring point marked as the SLAVE station is located. The SCADA monitoring system is built into the MASTER station. The SLAVE station is connected by RF (radio frequency connection) to the MASTER station. In the MASTER and SLAVE stations, two microcomputers and energy measurement units as well as appropriate RF modules are installed. The microcomputer in the MASTER station is serially connected to the IoT microcomputer for the transfer of measurement data in the Internet network. The solution provides visualization, data log file, and transfer to the IoT network of the energy and process data from the two measuring points.

SOLUTION TO THE CATENARY PROBLEM BY APPLYING THE FUNDAMENTAL LEMMA OF VARIATIONAL CALCULUS

Aleksandra Risteska - Kamcheski — Tue, 11 Jun 2024 19:05:33 +0000

In this paper, we will prove a theorem for functional where prove that necessary condition for extreme of functional is the variation of functional is equal to zero and we will give an example of its application, to the catenary problem.