Mathematical Models in Engineering (MME) ISSN (Print) 2351-5279, ISSN (Online) 2424-4627 publishes mathematical results which have relevance to engineering science and technology. Formal descriptions of mathematical models related to engineering problems, as well as results related to engineering applications are equally encouraged. Applications of mathematical models in financial engineering, mechanical and aerospace engineering, bioengineering, chemical engineering, computer engineering, electrical engineering, industrial engineering and manufacturing systems, nonlinear science and technology are especially encouraged. Mathematical models of interest include, but are not limited to, ordinary and partial differential equations, nonlinear analysis, stochastic processes, calculus of variations, operations research.
Established in 2015 and published 4 times a year (quarterly).
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Vibration of a simply supported graphene sheet with uncertain small scale parameter based on nonlocal theory
G. Q. Xie, S. S. Ni
Small scale parameter of graphene sheet is considered as uncertain one, vibration equation of a simply supported graphene sheet with uncertainty is established based on nonlocal theory. Trigonometric function series solution and interval operator are used to obtain the upper and lower bound of response of the simply supported graphene sheet. the uncertainty level of response for the different dimension is investigated. The numerical result shows that for the same uncertainty level of small scale
Mathematical Models in Engineering, Vol. 7, Issue 2, 2021, p. 22-29.
Hybrid extraction of multi-word terms: an application on vibration-based condition monitoring technique
Konstantinos Chatzitheodorou, Vassilios Kappatos
In this paper, we present an advanced domain-specific multi-word terminology extraction method. Our hybrid approach for automatic term identification benefits from both statistical and linguistic approaches. Our main goal is to reduce as much as possible the human effort in term selection tasks as well as to provide a wide-range and representative terminology of a domain. We emphasize in identification of verb or noun phrases multi-word terms, in neologisms and technical jargons. Our architectur
Mathematical Models in Engineering, Vol. 7, Issue 1, 2021, p. 1-9.
Ababu Teklemariam Tiruneh, Tesfamariam Debessai
Inlet flow distribution devices play an important role in providing uniform flow distribution in water treatment process units such as sedimentation tanks. Orifices and weirs are commonly provided along the inlet flow channels that are built across the width of sedimentation tanks. This paper presents a numerical method and computer program for computation of the inlet flow distribution over weirs and orifices. The method is based on solving a differential equation of the flow profile along the
Mathematical Models in Engineering, Vol. 6, Issue 4, 2020, p. 160-171.
Tien Tran Xuan, Dong Nguyen Phu
Following a patented solution, a seat which is possible to change its stiffness was created. The seat contains an actively controlled pneumatic spring element (the PSE). For the requirement of working faster and more precisely, an improvement was applied. This article deals with derivation of mathematical model of the improved PSE system used for subsequent analysis. The model is considered as a mixed model which is a combination of single-discipline subsystems as mechanical, electrical, fluid a
Mathematical Models in Engineering, Vol. 6, Issue 2, 2020, p. 79-92.
Theoretical and experimental analysis of an unbalanced and cracked cardan shaft in the vicinity of the critical speed
Bernard Xavier Tchomeni, Alfayo Alugongo
This paper presents a theoretical and experimental analysis of a coupled lateral and torsional vibrations of two identical rotors interconnected by a flexible Hooke’s joint and modelled as a multibody system with a small misalignment angle. Using energy principle and a Lagrangian transformation, the governing equation of the propeller shaft system is established by considering a nonlinear elastic shaft time-dependent perturbation. To study the sensitivity of the crack for a rotating shaft, the m
Mathematical Models in Engineering, Vol. 6, Issue 1, 2020, p. 34-49.
On feasibility of rate-independent stress paths under proportional deformations within hypoplastic constitutive model for granular materials
Victor A. Kovtunenko, Pavel Krejčí, Nepomuk Krenn, Erich Bauer, Lenka Siváková, Anna V. Zubkova
We study stress paths that are obtained under proportional deformations within the rate-independent hypoplasticity theory of Kolymbas type describing granular materials like soil and broken rock. For a particular simplified hypoplastic constitutive model by Bauer, a closed-form solution of the corresponding system of non-linear ordinary differential equations is available. Since only negative principal stresses are relevant for the granular body, the feasibility of the solution consistent with p
Mathematical Models in Engineering, Vol. 5, Issue 4, 2019, p. 119-126.
Thermal shock behaviour on generalized thermoelastic semi-infinite medium with moving heat source under Green Naghdi-III model
Biswajit Singh, Smita Pal (Sarkar)
The present article deals with the thermal shock response in an isotropic thermoelastic medium with a moving heat source. In this context Green and Naghdi type III model of generalized thermoelasticity theory is considered. The basic equations are expressed as vector-matrix differential equation form. The considered formulation is applied to a semi-infinite solid space. The analytical formulations of the problem in the Laplace transform domain have been solved by eigenvalue approach technique. T
Mathematical Models in Engineering, Vol. 5, Issue 3, 2019, p. 79-89.
Pan Hu, Heng Tang, Ling Zheng, Ci Jun Fang
The temperature distribution and thickness design of high temperature protective clothing are studied in this paper. Based on the data provided by China mathematical modeling competition in 2018. We establish the temperature distribution model and skin layer heat conduction and burn model. The interface continuous conditional difference method, differential iterative method, least squares method and the chasing method are used to solve the given temperature distribution on the protective clothin
Mathematical Models in Engineering, Vol. 5, Issue 2, 2019, p. 48-55.