scholarly journals METHODS OF CALCULATING THE PROBABLE NUMBER OF FIRE TO BE ELIMINATED BY THE GAS PROTECTION SERVICE

2021 ◽  
Author(s):  
Oleksandr Cherkashyn ◽  
◽  
Sergii Shcherbak ◽  
Keyword(s):  
Mathematical Model ◽  
Empirical Distribution ◽  
Mathematical Expression ◽  
Main Trend ◽  
Expected Number ◽  
Distribution Law ◽  
Probable Number ◽  
City District ◽  
Absolute Growth ◽  
Main Components

The main types of operational actions of fire and rescue units during firefighting and emergency response are presented. An analysis of fires that have occurred during the last five years, which have been extinguished by units of the State Emergency Service of Ukraine with the participation of units of the gas and smoke protection service. After analyzing the statistics of the number of fires and emergencies in the city (district) over the years, a mathematical model of the dynamics of the number of fires and other emergencies. The forecast of the expected number of their occurrence is determined and the volume of work of the gas and smoke protection service for the next year is estimated, as well as the sufficiency of forces and means is determined. The most effective way to identify the main trend in the number of emergencies is analytical alignment using a mathematical expression that most accurately describes the nature of the empirical distribution of their number over the analyzed period and with which you can make predictions. To do this, the necessary mathematical distribution law is selected in the scientific search. To determine the speed and intensity of the number of fires and other emergencies over time, the following indicators were used: absolute growth, growth rate. The calculation of these indicators is based on comparing the levels of a number of dynamics. Under the level of a series of dynamics is taken each individual numerical value of the indicator, which characterizes the magnitude of the phenomenon, its size and location in chronological order. Based on the described indicators, a method of calculating the probable number of fires in the current year, which will be eliminated by the gas and smoke protection service, is proposed. An example of calculation is given: its main components are described, which should be taken into account during the calculation. The process of change and development of the occurrence and spread of fires by constructing time or time series is studied. Recommendations for building a mathematical model of the dynamics of the number of fires and other emergencies are given, the forecast of the expected number of their occurrence is determined, the volume of work of fire and rescue units for the next year is estimated.

scholarly journals Hysteresis in Muscle

2017 ◽  
Vol 27 (01) ◽  
pp. 1730003 ◽  
Author(s):  
Jorgelina Ramos ◽  
Stephen Lynch ◽  
David Jones ◽  
Hans Degens
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Hysteresis Loop ◽  
Mechanical Systems ◽  
Single Fibre ◽  
Scientific Disciplines ◽  
Main Components ◽  
First Time ◽  
Muscle Models ◽  
Clockwise Hysteresis

This paper presents examples of hysteresis from a broad range of scientific disciplines and demonstrates a variety of forms including clockwise, counterclockwise, butterfly, pinched and kiss-and-go, respectively. These examples include mechanical systems made up of springs and dampers which have been the main components of muscle models for nearly one hundred years. For the first time, as far as the authors are aware, hysteresis is demonstrated in single fibre muscle when subjected to both lengthening and shortening periodic contractions. The hysteresis observed in the experiments is of two forms. Without any relaxation at the end of lengthening or shortening, the hysteresis loop is a convex clockwise loop, whereas a concave clockwise hysteresis loop (labeled as kiss-and-go) is formed when the muscle is relaxed at the end of lengthening and shortening. This paper also presents a mathematical model which reproduces the hysteresis curves in the same form as the experimental data.

scholarly journals CONCEPT OF ECONOMICAL‐MATHEMATICAL MODEL OF LAND MARKET

2007 ◽  
Vol 13 (4) ◽  
pp. 333-340
Author(s):  
Gintautas Šatkauskas
Keyword(s):  
Mathematical Model ◽  
Input Parameter ◽  
Market Price ◽  
Research Process ◽  
Land Market ◽  
Market Prices ◽  
Noise Background ◽  
Input Parameters ◽  
Main Components ◽  
Sufficient Precision

Input parameters, ie factors defining the market price of agricultural‐purpose land, are interrelated very often by means of non‐linear ties. Strength of these ties is rather different and this limits usefulness of information in the research process of land market prices. Influence of input parameter changes to the input parameters in case when there are rather substantial changes may be determined in someone direction with a sufficient precision, whereas in other directions with comparatively small changes of input parameters this influence is difficult to be separated from the “noise” background. Taking into account the above‐listed circumstances, the concept of economical‐mathematical model of land market should be as follows: there is carried out re‐parameterisation of the process by means of introduction of new parameters in such a way that the new parameters are not interrelated, and the full process is evaluated at the minimal number of these parameters. These requirements are met by the main components of the input parameters. Then normalisation of the main components is carried out and dependencies on new parameters are determined. It is easier to interpret the dependencies obtained having reduced the number of input parameters and the higher the non‐linearity of interrelations of primary land market data, the greater effect of normalisation of input-parameter components. The results are compared with the valuations of experts.

scholarly journals Mathematical model for reliability indicators calculation of tethered UAV hybrid navigation system

2021 ◽  
Vol 2091 (1) ◽  
pp. 012033
Author(s):  
V M Vishnevsky ◽  
K A Vytovtov ◽  
E A Barabanova ◽  
V E Buzdin
Keyword(s):  
Mathematical Model ◽  
Navigation System ◽  
Analytical Method ◽  
Mathematical Expression ◽  
Equation System ◽  
Kolmogorov Equation ◽  
Reliability Indicators ◽  
Technical Vision ◽  
The Mathematical Model ◽  
First Time

Abstract The mathematical model for reliability indicators calculation of the hybrid navigation system containing microwave and technical vision subsystems is proposed in this paper for the first time. The proposed method is based on the translation matrix concept of solutions to the Kolmogorov equation system and it allows us to obtain the mathematical expression of availability factor, downtime ratio, and other reliability indicators. Also the presented approach allows finding the reliability indicators for the cases of jump change of transition intensities caused by external influences. Besides the analytical method can be used for investigation of hybrid navigation system transient mode functioning. The results of the numerical calculations clearly demonstrated correctness of the proposed approach.

scholarly journals MATHEMATICAL MODELLING OF THE UNMANNED AERIAL VEHICLE DYNAMICS

2018 ◽  
pp. 37-44
Author(s):  
V. Y. Stepanov
Keyword(s):  
Mathematical Model ◽  
Mathematical Modelling ◽  
Unmanned Aerial Vehicle ◽  
Vehicle Dynamics ◽  
Point Of View ◽  
Dynamics Analysis ◽  
Aerial Vehicle ◽  
Main Components ◽  
Controlled Object

The article gives a classification of the main components of unmanned aerial vehicle (UAV) systems, gives the areas in which the application of UAVs is actual in practice today. Further, the UAV is considered in more detail from the point of view of its flight dynamics analysis, the equation necessary for creating a mathematical model, as well as the model of an ordinary dynamic system as a non-stationary nonlinear controlled object, is given. Next, a description of the developed software for modeling and a description of program algorithm are given. Finally, a conclusion describes the necessary directions for further scientific researches.

scholarly journals Modeling of Hygro-Mechanical Behaviour through Raffia vinifera Fiber during the Water Diffusion Phenomenon

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Harrond Nimjieu Takoudjou ◽  
Nicodème R. Sikame Tagne ◽  
Peguy R. Nwagoum Tuwa ◽  
Médard Fogue ◽  
Ebenezer Njeugna
Keyword(s):  
Mathematical Model ◽  
Natural Fibers ◽  
Mathematical Expression ◽  
Water Diffusion ◽  
Integration Rule ◽  
Diffusion Phenomenon ◽  
Kinetics Of ◽  
Industrial Context ◽  
Fiber Radius ◽  
Model Expression

In an industrial context where the use of friendly materials is encouraged, natural fibers of vegetable origin become more solicited for the reinforcement of composite materials. This work deals with the modeling of the hygro-mechanical behavior through raffia vinifera fiber during the diffusion phenomenon. The modeling of water diffusion through the raffia vinifera fiber is described by Fick’s second law and taking into account the swelling phenomenon of the fiber. The equation obtained is solved numerically by the finite difference method, and the evolution of the fiber radius as a function of time is obtained. By applying the Leibniz integration rule, a mathematical expression to predict the evolution of this radius as a function of time is proposed. It is observed numerically and analytically an increase of the dimensionless fiber radius with time up to a critical value after what one observes the saturation. This model allowed us to propose a mathematical model describing the absorption kinetics of the raffia vinifera fiber through its absorption ratio. By comparing the results of this model with the experimental results from the literature, one observes a good agreement. Moreover, the induced stresses in the fiber during the water diffusion can also be estimated with the proposed mathematical model expression of fiber. These stresses increase with time and can reach between 5 and 7 GPa. The results of this work can be used to predict the behavior of the raffia vinifera fiber inside a composite material during its development.

scholarly journals On the Folding Mechanics of Square Columns with Double-Surfaced Gradients

2019 ◽  
Vol 2019 ◽  
pp. 1-16
Author(s):  
Junxian Zhou ◽  
Ruixian Qin ◽  
Bingzhi Chen
Keyword(s):  
Energy Absorption ◽  
Mathematical Expression ◽  
Absorption Efficiency ◽  
Material Distribution ◽  
Average Thickness ◽  
Distribution Law ◽  
Finite Element Program ◽  
Global Average ◽  
Element Program ◽  
Distribution Type

The implementation of graded thicknesses in structural designs is an efficient strategy for improving the energy absorption performance of thin-walled columns. In this study, the mechanical responses of square columns with double-surfaced gradients under axial crushing forces were analytically and numerically investigated. A mathematical expression for the mean crushing force on a novel tube design is derived according to the super folding element method by introducing two novel parameters: the average thickness of the efficient energy absorbing region (EEAR) and global average thickness. The analytical predictions show good agreement with the simulation results that were obtained using the nonlinear finite element program ANSYS/LS-DYNA. The results demonstrate that a greater coefficient of average thickness of the EEAR versus global average thickness improves the energy absorption efficiency. However, increasing this coefficient largely depends on the sectional material distribution law. To explore the effects of this law on crushing responses, three different material distribution types were investigated. A significant improvement in specific energy absorption (approximately 30%) was obtained for a double-surfaced column with an optimized material distribution type compared to that of a square column with a uniform thickness.

Location of a multinational corporation in a cluster

2016 ◽  
Vol 24 (2) ◽  
pp. 144-167 ◽  
Author(s):  
Dorota Leszczyńska ◽  
Erick Pruchnicki
Keyword(s):  
Mathematical Model ◽  
Knowledge Transfer ◽  
Tacit Knowledge ◽  
Mathematical Expression ◽  
Decision Criterion ◽  
Specific Knowledge ◽  
Content Type ◽  
The One ◽  
Effective Transfer ◽  
The Impact

Purpose A multinational company (MNC) looking to locate within a cluster is mainly interested in gaining access to scarce and highly valuable tacit knowledge. The transfer of such resources first requires sharing a certain degree of architectural and specific knowledge. This paper aims to examine the transfer of systemic technological expertise (specific tacit knowledge) that is incorporated into organisational practices (architectural knowledge). To quantify the level of knowledge transfer involved, the present study defines the architectural distance between the MNC and the cluster. Design/methodology/approach The mathematical expression of acquisition performance is inferred from a conceptual study that formulates hypotheses regarding the impact of these variables on knowledge transfer. The MNC chooses its location in such a way as to maximise this performance. Findings Applying a mathematical model to knowledge transfer between two of the MNC units helps to determine if the locally acquired knowledge could benefit other units of the MNC. Research limitations/implications The present study defines the architectural distance between the MNC and the cluster. This architectural distance is defined by a vector composed of social, organisational, cultural, institutional, technological and geographic distances between the new acquisition and its network of local partners, on the one hand, and the MNC, on the other. Knowledge transfer also depends on the business players’ trust and motivation. Further research through a quantitative study would be useful to improve the links between the proposed mathematical model and the efficiency of an MNC’s location within a cluster. Practical implications The solution to the optimisation problem allows to put forward a simple decision criterion to assist a manager who has to face the problem of an optimal location choice. Originality/value First, this study contributes to a better understanding of how knowledge transfer effects may interact with cluster effects, while explaining a subsidiary’s performance with regard to location. Second, it provides an interpretation of the concept of knowledge embeddedness by showing that the effective transfer of architectural and specific knowledge involves the prior sharing of a certain amount of this knowledge.

A Simple Criterion to Locate a Multinational Corporation Resulting from Optimization of Technological Knowledge Transfer

2020 ◽  
Vol 16 (1) ◽  
pp. 63-76
Author(s):  
Dorota Leszczynska ◽  
Erick Pruchnicki
Keyword(s):  
Mathematical Model ◽  
Knowledge Transfer ◽  
Local Knowledge ◽  
Multinational Corporation ◽  
Optimization Problem ◽  
Mathematical Expression ◽  
Technological Knowledge ◽  
Simple Criterion ◽  
Conceptual Argument ◽  
The Impact

The aim of this study is to formulate both a conceptual and a mathematical model giving a criterion of choice for the location of an MNC in search of new technological knowledge and the means to optimize it. On the basis of a bibliographical study, we develop a conceptual argument in order to formulate hypotheses regarding the impact of distances and motivation on knowledge transfer and the acquisition's resulting performance. The assumptions thus formulated make it possible to justify the mathematical expression of performance in a function of the architectural distance, the knowledge transfer, and the motivation. The resolution of this optimization problem makes it possible to obtain the optimal architectural distance and the optimal motivation corresponding to the best choice of localization of an MNC. The authors deduce a simple criterion aiming at helping a manager confronted with the problem of localization choice. The presented model helps to define the typology of MNC units: isolating and exploiting a MNC's knowledge or using the local knowledge and transferring it to other units.

The Study on Residual Stress Testing of Humidity Effect and Distribution Law for PMMA

2013 ◽  
Vol 631-632 ◽  
pp. 358-361
Author(s):  
Shang Wei ◽  
Yang Xiao Jing ◽  
Mao Cui ◽  
Guo Long
Keyword(s):  
Mechanical Properties ◽  
Mathematical Model ◽  
Residual Stress ◽  
Stress Testing ◽  
Phase Shifting ◽  
Distribution Law ◽  
Humidity Effect ◽  
Boundary Stress ◽  
The Mathematical Model ◽  
Humidity Environment

Polymethyl methacrylate (PMMA) has shown some excellent performances. However the humidity environment affects mechanical properties of PMMA seriously. In this work, the digital phase-shifting photoelasticity is used to test the humidity stress of the boundary according to which we concluded that the boundary stress decreases gradually from the boundary to the inner. The mathematical model of the boundary stress distribution is established based on the distribution law of the boundary stress. This mathematical model can be used to predict the effect of the humidity environment to the boundary stress, and guide PMMA to use safely.

The programm for highlighting the main components resulting in the algebraic model of constructive logic

10.12737/5612 ◽  
2014 ◽  
Vol 8 (1) ◽  
pp. 1-5 ◽  
Author(s):  
Хромушин ◽  
Viktor Khromushin ◽  
Хромушин ◽  
Oleg Khromushin
Keyword(s):  
Mathematical Model ◽  
Inflection Point ◽  
Detection Limits ◽  
Algebraic Model ◽  
Constructive Logic ◽  
Straight Line ◽  
Nonlinear Mathematical Models ◽  
Main Components ◽  
Combined Mark

The article presents the program to determine the principal components resulting in the algebraic model of constructive logic, which is designed for construction multivariate nonlinear mathematical models. The resulting mathematical model is represented by a set of resulting components as factors indicating the detection limits, combined mark of conjunction (indicating joint impact). Each resulting component is characterized by power, which is the essence of the number of rows in the table that match the specified detection limits factors in their joint action. The program provides two methods to determine the main result components. The first method is based on determining the minimum difference between increasing amounts of capacity resulting components of the top and bottom. The second method is based on the determination of the inflection point of the curve decreasing capacity of the resulting components. The authors give recommendations on the choice of allocation method the main result components. If the curve changes power has a dedicated point of inflection and more like a straight line, it is recommended to use method 1. If the curve changes power has a dedicated point of inflection, it is recommended to use method 2. The program should be used in the package of analytical programs algebraic model of constructive logic when performing complex analytical calculations in biophysics, medicine and biology.

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