Mathematical Models in Engineering

publishes mathematical results and models relevant to engineering science, technology and applications

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. Established in 2015 and published 4 times a year (quarterly).

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.

Journal is indexed in major Scientific Databases

Publication dates

Issue 1
March 31st
Issue 2
June 30th
Issue 3
September 30th
Issue 4
December 31st
Open Access
Mathematical Models in Engineering is published Open Access. By 'open access' to this literature, we mean its free availability on the public internet, permitting any users to read, download, copy, distribute, print, search, or link to the full texts of these articles, crawl them for indexing, pass them as data to software, or use them for any other lawful purpose, without financial, legal, or technical barriers other than those inseparable from gaining access to the internet itself. Author(s) retain copyright of their work. Articles are published under the Creative Commons Attribution License (CC-BY).
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Prof. Minvydas Ragulskis

Kaunas University of Technology, Lithuania
Editor in Chief

Editorial Board
Hojjat Adeli The Ohio State University, USA
Tahir Cetin Akinci Istanbul Technical University, Turkey
Mahmoud Bayat Mahmoud Bayat Roudehen Branch, Islamic Azad University, Iran
Rafał Burdzik Rafał Burdzik Silesian University of Technology, Poland
Maosen Cao Maosen Cao Hohai University, China
Jinde Cao Jinde Cao Southeast University, China
Sezgin Ersoy Sezgin Ersoy Marmara University, Turkey
H. C. Eun Kangwon National University, Korea
W. H. Hsieh National Formosa University, Taiwan
Li Jun Adv. Inst. of Science and Engg. Information, China
V. Kaminskas Vytautas Magnus University, Lithuania
Vassilis Kappatos Vassilis Kappatos Center for Research and Technology Hellas, Greece
Rymantas Kažys Kaunas University of Technology, Lithuania
V. Klyuev Association Spektr – Group, Russia
Sunil Kumar National Institute of Technology, India
Giedrius Laukaitis Kaunas University of Technology, Lithuania
Petr Lepšik Technical University of Liberec, Czech Republic
Chen Lu Beihang University, China
Guang-qing Lu Guang-qing Lu School of Intelligent Systems Science and Engineering, Jinan University, China
Yuxin Mao Zhejiang Gongshang University, China
Rimas Maskeliūnas Rimas Maskeliūnas Vilnius Gediminas Technical University, Lithuania
D. Pisla Technical University of Cluj-Napoca, Romania
Kazimieras Ragulskis Lithuanian Academy of Sciences, Lithuania
Vinayak Ranjan Vinayak Ranjan Bennett University, India
Julia Irene Real Julia Irene Real Politechnical University of Valencia, Spain
Eligijus Sakalauskas Eligijus Sakalauskas Kaunas University of Technology, Lithuania
G. Eduardo Sandoval-Romero G. Eduardo Sandoval-Romero The National Autonomous University of Mexico, Mexico
Shigeki Toyama Shigeki Toyama Tokyo A&T University, Japan
S. Wierzbicki University of Warmia and Mazury in Olsztyn, Poland
A. Wylomanska Wroclaw University of Technology, Poland
Xiao-Jun Yang China University of Mining and Technology, China

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Editor's Pick

The mathematical model of the improved system of the seat with adjustable pressure profile

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
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.

Show more
Optimal design of protective clothing based on difference equation

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.

Optimization of palm methyl ester and its effect on fatty acid compositions and cetane number
Optimization of palm methyl ester and its effect on fatty acid compositions and cetane number

Sharath Satya, Aditya Kolakoti, Naga Raju B., Shyam Sundar R., Ranga Rao

This paper proposes the Taguchi based optimization technique for the production of biodiesel from palm oil. For this purpose, L9 orthogonal array was successfully used for better yield estimation by using Minitab-18 software. Different process variables like molar ratio, catalyst concentration, reaction time and reaction temperature were studied. A predicted yield of 92.06 % was achieved by regression analysis by maintaining the process variables of molar ratio 5:1 (methanol to oil), 4 grams of

Mathematical Models in Engineering, Vol. 5, Issue 1, 2019, p. 25-34.

Simplified theoretical treatment of lateral structural properties under crowd excitation

Yun Dong, Yan An Gao, Ye Zhu, Peng Zhang

Walking crowd-induced lateral vibrations on slender structures have attracted considerable attention. The improper vibration of a structure adversely affects human comfort. To explore the effects of crowds on lateral structural properties, a pedestrian from a crowd is simulated by a walking bipedal robot. A simplified theory for structural vibration is proposed based on the assumptions of uniform distribution and synchronized walking of pedestrians. This theory can be used to describe the effect

Mathematical Models in Engineering, Vol. 4, Issue 4, 2018, p. 191-200.

Analytical solution for modal analysis of Euler-Bernoulli and Timoshenko beam with an arbitrary varying cross-section

Fatemeh Sohani, H. R. Eipakchi

In this article, the free vibrations of Euler-Bernoulli and Timoshenko beams with arbitrary varying cross-section are investigated analytically using the perturbation technique. The governing equations are linear differential equations with variable coefficients and the Wentzel, Kramers, Brillouin approximation is adopted for solving these eigenvalue equations and determining the natural frequencies and mode shapes. This method relates the solution of equations with the solving of some successiv

Mathematical Models in Engineering, Vol. 4, Issue 3, 2018, p. 164-174.

Non-linear vibration analysis of oleo pneumatic landing gear at touchdown impact

S. Sivakumar, M. Syedhaleem

In this paper, nonlinear vibration analysis of a typical aircraft oleo pneumatic landing gear has been done. Mathematical model of the main landing gear is developed, and dynamic equations have been written incorporating the effect of lift force, friction force to study the landing gear behaviour at touchdown condition. The nonlinear effect of stiffness, damping coefficient properties are considered in the analysis. The displacement, velocity, acceleration values are obtained on different landin

Mathematical Models in Engineering, Vol. 4, Issue 2, 2018, p. 89-97.

Study on friction mechanism and performance of disc brakes for mining motor vehicle

Yanan Qin, Sen Zhang, Xiuping Wei

According to the convexity theory, the working principle of the disc brake of mining motor vehicle is analyzed. The dry friction force between brake disc and brake block is mainly composed of three mechanisms, such as meshing effect, adhesion effect and furrow effect. The Link NVH 3900 device is used to simulate the long downhill braking condition with bench test method, which can obtain friction performance with high credibility in different brake conditions. The average friction coefficient an

Mathematical Models in Engineering, Vol. 4, Issue 1, 2018, p. 11-17.