Simulation of oscillatory processes in the MVSTUDIUM package

2022 ◽  
Vol 14 (4) ◽  
pp. 139-148
Author(s):  
Aleksandr Poluektov ◽  
Konstantin Zolnikov ◽  
V. Antsiferova

The mathematical model and algorithms of oscillatory movements are considered. Various factors affecting the oscillatory process are considered. Oscillatory movements are constructed in the MVSTUDIUM modeling environment. The schemes of three computer models demonstrating oscillatory processes are determined: a model of a pendulum with a non-movable suspension point, a model of a pushing pendulum with friction force and a model of a breaking pendulum. Classes are being built to execute models with embedded properties, as well as with the ability to export the created classes to other models, and embed classes created by the program developer into the model. Creation of 2D and 3D models of oscillatory processes, an experiment behavior map and a virtual stand.

India is a worldwide agriculture business powerhouse. Future of agriculture-based products depends on the crop production. A mathematical model might be characterized as a lot of equations that speak to the conduct of a framework. By using mathematical model in agriculture field, we can predict the production of crop in particular area. There are various factors affecting crops such as Rainfall, GHG Emissions, Temperature, Urbanization, climate, humidity etc. A mathematical model is a simplified representation of a real-world system. It forms the system using mathematical principles in the form of a condition or a set of conditions. Suppose we need to increase the crop production, at that time the mathematical model plays a major role and our work can be easier, more significant by using the mathematical model. Through the mathematical model we predict the crop production in upcoming years. .AI, ML, IOT play a major role to predict the future of agriculture, but without mathematical models it is not possible to predict crop production accurately. To solve the real-world agriculture problem, mathematical models play a major role for accurate results. Correlation Analysis, Multiple Regression analysis and fuzzy logic simulation standards have been utilized for building a grain production benefit depending model from crop production. Prediction of crop is beneficiary to the farmer to analyze the crop management. By using the present agriculture data set which is available on the government website, we can build a mathematical model.


2001 ◽  
Vol 82 (4) ◽  
pp. 247-250
Author(s):  
A. A. Davliev

The factors determining the motor activity are revealed and the adequate system of measures on drawing workers of industrial works in going in for physical training in the sanatorium-preventive clinic is developed. Two basic groups of methodical approaches: general clinic therapeutic examination to estimate the state of health and generally accepted in sport medicine the methods to estimate physical development, physical work ability and states of motion apparatus were used. The mathematical model of motion activity and health level in multidimensional relations with factors affecting them was constructed.


2021 ◽  
Vol 12 (2) ◽  
pp. 803-818
Author(s):  
Miao Gong ◽  
Shijie Dai ◽  
Tao Wang ◽  
Liwen Wang

Abstract. Additive remanufacturing height and matching cooling parameters are the key factors affecting blade repair quality. First, the mathematical model of the single additive remanufacturing repair height and wire-feeding speed was established, the solution method was proposed and the numerical solution was obtained, and the validity of the model was verified by experiments. Then, based on the calculation results of a single additive remanufacturing repair, the geometric morphology of the cross section under double additive remanufacturing repair was analyzed, and the mathematical model was established. Second, based on the optimal parameters obtained by numerical analysis and the mathematical model, the fluid structure coupling heat transfer model of “blade fixture” for base channel cooling was established. The cooling effect of the typical section under different initial temperatures and different flow rates was calculated, and the coupled heat transfer in the process of blade remanufacturing was explained by the mechanism. Third, through the comparative analysis of the cooling effect, optimal cooling parameters of double additive remanufacturing repair were obtained, and the model of coupled heat flow was verified by experiment. The results showed that the mathematical model of additive remanufacturing height is effective for studying the thermal cycle and cooling effect of welding, and the cooling parameters obtained by numerical analysis can effectively guarantee the quality of double additive remanufacturing of blade repair.


Author(s):  
Холодняк Ю.С. ◽  
Подлєсний С.В. ◽  
Капорович С.В. ◽  
Коротенко Є.Д.

Abstract. An analysis of existing methods of power calculation of steelworks under the influence of forced oscillations is performed. When considering the forced oscillations of flat steelworks, two-dimensional models are used, which are complex for wide practical use. Their implementation requires in-depth mathematical training and complex computational tools. The aim of this work is to develop a simplified two-dimensional mathematical model of forced oscillations of flat steelworks with following use of this model in power calculations. The mathematical model proposed in this paper describes oscillations of a weightless steelwork with a point mass of simultaneous action in vertical and horizontal harmonic disturbing forces acting on them. The model is based on the method of forces, establishes a link between the movements of the steelworks and the forces that act on them. Together with the model the dependences for calculating the resonant frequencies of the oscillatory system are obtained. The performed developments allow to determine the dynamic characteristics of the oscillatory process and to calculate a steelwork strength, stiffness and stability.


Author(s):  
V. A. Kozlov ◽  
O. Yu. Dmitrieva ◽  
G. P. Itkin ◽  
A. S. Ivanov ◽  
A. P. Kuleshov ◽  
...  

We have developed and tested a technique for constructing 3D models of the chest and thoracic cavity organs. Due to the obtained results, the mathematical model  was successfully used in the development of classification of variants of placement  of implantable auxiliary circulation systems, and also for building 3D models for  other purposes. In particular, the patients were graded according to the variants of  placing the children’s axial pump DON-3 inside the patient’s chest cavity. Based on  the data, the first fitting of the DON-3 pump was performed on a patient aged 7 years.


Author(s):  
Н.И. Музаев ◽  
К.С. Харебов ◽  
И.Д. Музаев

Составлена математическая модель совместных сейсмических колебаний высоконапорной плотины, водохранилища и двух слоев массива грунта под основаниями плотины и водохранилища. Модель представляет контактную краевую задачу математической физики в которой учтены взаимозависимости колебательных процессов в грунтовой толще, в плотине и в водохранилище при распространении гармонической сейсмической волны в рассматриваемой системе. В результате решения поставленной задачи получены расчетные формулы для вычисления относительных амплитуд сейсмических колебаний гребня и основания плотины. The mathematical model of the co-seismic vibrations of high-pressure dams, reservoirs and two layers of soil under the foundations of the dam and reservoir is created. The model represents the contact boundary value problem of mathematical physics which takes into account the interdependence of oscillatory processes in soil, in the dam and in the reservoir during the propagation of harmonic seismic waves in the system under consideration. As a result of solving the tasks the formulae are derived to calculate the relative amplitudes of the oscillations of the top and the base of the dam.


1983 ◽  
Vol 105 (3) ◽  
pp. 339-347 ◽  
Author(s):  
M. R. Naji ◽  
K. M. Marshek

A mathematical model was developed to study the effect on belt load distribution of belt material properties, pitch variations, friction force, and pulley rotation. Results are presented which show the influence on load distribution of pitch difference, tight side tension, slack side tension, belt tooth spring constant, and coefficient of friction, for the belt on stationary, driver, and driven pulleys. Data from the mathematical model compared well with experimental results available in the literature.


2013 ◽  
Vol 712-715 ◽  
pp. 382-386 ◽  
Author(s):  
Peter Michal ◽  
Miroslav Gombár ◽  
Alena Vagaská ◽  
Ján Piteľ ◽  
Ján Kmec

The effects of six factors, affecting during the acid zinc plating process as its technological conditions, on the thickness of the resulting zinc coating has been examined. In order to control the quality of the resulting zinc coating deposited on the surface alloy EN 355 at a constant current density of 5 [Adm-2], the mathematical model predicting the thickness of deposited coating was developed using Design of Experiments (DoE) method. The obtained mathematical model describes the resulting deposited layer of zinc coating in dependence on the factor-level changes and combinations with the reliability of 58.75%.


2019 ◽  
Vol 10 (4) ◽  
pp. 1167-1195
Author(s):  
Saeidi Ramyani Saleh ◽  
Ehsan Mousavi Khaneghah ◽  
Nosratollah Shadnosh ◽  
Amirhosein Reyhani ShowkatAbad

PurposeThis paper aims to propose a mathematical model for describing and clarifying the relationships among the indicators governing the social values of special customers in business-to-consumer (B2C) e-commerce systems. This mathematical model is also able to describe the degree of adaptability of e-commerce systems to the social values of specific clients, and commercial firms are able to use the parameters described in this paper to increase the versatility and has the power to trade with special customers in different areas.Design/methodology/approachIn this paper, while analyzing the issue of trading from the point of view of the customer as an element of trading, the affecting factors the trading space have been extracted. These affecting factors are categorized in three major groups: culture, technology and customers. This classification is based on the e-commerce and developing the traditional commerce. Using the mapping functions, the effects of each element in these three spaces on the concept of social values have been analyzed. The result of this analysis is the mathematical model governing each parameter and its semantic relation with the concept of social value.FindingsThe presence of a mathematical model between the indicators influencing the model adaptability and social values space allows e-commerce system designers to be able to make decisions on the adaptability of the model with a quantitative approach. To examine the proposed mathematical models, important frameworks and patterns in the field of e-commerce have been analyzed with an Islamic approach, as one of the adaptations of B2C e-commerce model.Research limitations/implicationsRegarding the innovation of the work, the case has been made, and the concept of social value and the model governing the elements of social values in this paper, in a B2C e-commerce model, has been discussed in general; the problem is parametric solved.Practical implicationsOne of the key concepts in commerce is the ability of the commerce model to adapt to the requirements of special customers. This is more important in costumer-based e-commerce models. In these types of systems, if the commerce cannot match the customer’s characteristics, it will not be accepted and used by customers. This is especially more important in the field of social values for customers.Originality/valueIn this paper, a mathematical model is presented to examine the adaptability of e-commerce systems to the social values of special customers. In examining this model, the relationship between each element affecting the social value of specific customers and the factors affecting trade has been studied.


Author(s):  
Ayoub Azzayani

In this work, we deal an elasticity model in 2D and 3D dimension for deformation under constraint by taking into account the direction of the deformation displacement. This work is a result of an article [A. Azzayani et al., Br. J. Math. Comput. Sci. (2016)] in which we use the same mathematical model by fixing the fiber orientation. Then, if we considered the case of eignvalue and eigenvector, and which is the case of this work, we can be able to control the deformation of the heart in the image processing. This mathematical model can be used to describe the heart deformation taking into account the orientation of the fibers for estimating global and regional parameters of the left ventricular function. In first, we start by presenting the proposed mathematical model on a domain Ω ⊂ ℝn (n = 2 or 3), and we give the existence and uniqueness of solution to the mathematical model is given (in both 2D and 3D dimension). Secondly, we give numerical simulations with FreeFem software, simulations results and comments are given in the end. In the end, we will discuss about the image treatment with this model and its feasibility to help doctors in the diagnosis of heart disease.


Sign in / Sign up

Export Citation Format

Share Document