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.
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Kaunas University of Technology, Lithuania
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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.
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.
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.
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.
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.