Theoretical Vibration Analysis Regarding Excitation due to Elliptical Shaft Journals in Sleeve Bearings of Electrical Motors by Ulrich Werner

“…The solution of the linear differential equation system leads to the mathematical description of the movement of the rotor mass, the shaft journals, and the sleeve bearing housings. …”
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Nonlinear Dynamics and Chaos in Systems with Discontinuous Support by Sandor Divenyi, Marcelo Amorim Savi, Luiz Fernando Penna Franca, Hans Ingo Weber

“…Since the time scale of this transition is much smaller than the scale of the individual modes dynamics, its mathematical modeling can be lead as non-smooth. This contribution uses a smoothened switch model to analyze non-smooth systems. …”
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Free Vibrations with Large Amplitude of Axially Loaded Beams on an Elastic Foundation Using the Adomian Modified Decomposition Method by Desmond Adair, Askar Ibrayev, Alima Tazabekova, Jong R. Kim

“…The AMDM allows the governing equation to become a recursive algebraic equation, and, after some additional simple mathematical operations, the equations can be cast as an eigenvector problem whose solution results in the calculation of natural frequencies and corresponding closed-form series solution of the mode shapes. …”
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Cournot–Bertrand Duopoly Model: Dynamic Analysis Based on a Computed Cost by S. S. Askar, Ahmed M. Alshamrani

“…In this paper, some mathematical properties and dynamic investigations of a Cournot–Bertrand duopoly game using a computed nonlinear cost are studied. …”
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Analysis of the state of the gas market in the context of the aggravation of the Ukrainian crisis by E. A. Rechkina, A. M. Terekhov

“…Based on the results of the study, a development forecast of the natural gas market was made founded on the constructed economic and mathematical model, which showed an increase in prices in the next few months. …”
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Complexity: Frontiers in Data-Driven Methods for Understanding, Prediction, and Control of Complex Systems 2022 on the Development of Information Theoretic Model Selection Criteria... by Andrea Murari, Michele Lungaroni, Riccardo Rossi, Luca Spolladore, Michela Gelfusa

“…It can be argued that the identification of sound mathematical models is the ultimate goal of any scientific endeavour. …”
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Intra-Skip in Inter-Frame Coding of H.264/AVC by Hui Su

“…Aiming at intra-skip, this paper proposes a novel mathematical model for intra-skip in inter-frame coding to alleviate the complexity of the process; the model provides remarkable performance increment by cutting down encoding time while accompanying very minor bitrate increase. …”
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Compilation of the Test Load Spectrum of Wind Power Gearbox based on the Random Wind Speed Model by Xu Fang, Zhou Zhigang

“…In order to compile the load spectrum for dynamic characteristic and fatigue life test of wind turbine gear transmission system,the external random wind load is obtained on the basis of simulating reality wind speed and aerodynamics theory,and by using the rain- flow counting method and mathematical statistics method,the statistic and analysis of the input random wind load data is carried out. …”
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Newsboy problem with outsourcing, limited capacity and resalable return by Arezoo Khazaei, Parvaneh Samouei

“…In this article has tried, in order to make the problem more in line with the real world some limitations during production, such as outsourcing mode, capacity limit and returned goods, have been added to the problem.Methodology: This research is based on library studies and the development of mathematical modeling.Findings: In the newsboy problem, there are important parameters such as outsourcing, capacity constraints and product referral which in this study, the effect of each of these parameters on profitability has been evaluated.Originality/Value: Development of the newsboy problem in terms of outsourcing and returned products and capacity constraints.…”
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Research of the Vibration Characteristic in the Operation Process of the Long Distance V-ribbed Belt Drive Drilling Tool Transport System by Yu Qian

“…Aiming at the problems of long distance drilling tool transport system has high manufacturing cost,maintenance difficulty,the V- ribbed belt drive is introduced into the long distance drilling tool transport system,and the system mathematical model is established. The key components of the tensioning device are optimized through optimization design,and the optimization results are verified by the experiment method. …”
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Research on the Supernetwork Equalization Model of Multilayer Attributive Regional Logistics Integration by Jian Xu, Yanna Yin, Xin Wen, Guozhi Lin

“…We built a supernetwork mathematical model of regional logistics integration with multiple layers of attributes. …”
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The discontinuous solutions of Lame�s equations for a conical defect by O. Reut, N. Vaysfeld

“…Under a defect one considers a part of a surface (mathematical cut on the surface) when passing through which function and its normal derivative have discontinuities of continuity of the first kind. …”
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Hidden Markov models and neural networks in formation of investment portfolio by P.A. Novikov, R.R. Valiev

“…Common mathematical models are used by investors for prediction of the future state of the financial market lose if the macroeconomic situation gets worse. …”
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On the problems of monitoring the shadow economy by E. V. Baturina

“…The article presents the main provisions of the author’s Concept of monitoring the shadow economy through the economic and mathematical analysis of the shadow cashless cash flow. …”
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Statistical Physics Modelling of Dye Adsorption on Modified Cotton by M. Khalfaoui, M.H.V. Baouab, R. Gauthier, A. Ben Lamine

“…This method allowed an estimation of all the mathematical parameters in the model. Thus, the receptor site density and the half-saturation concentration have been related to physicochemical variables such as the chemical potential, the adsorption energy, the anchorage number, etc. …”
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Probability of Local Liquefaction of Saturated Sands in Half-Space Domains under a Train of Surface Point Explosions by Luis A. de Béjar

“…The load effect is evaluated in approximate closed form using three-dimensional tensorial mathematical physics in polar cylindrical coordinates. …”
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An Improved Hierarchical Genetic Algorithm for Sheet Cutting Scheduling with Process Constraints by Yunqing Rao, Dezhong Qi, Jinling Li

“…The objective of the cutting scheduling problem is minimizing the weighted completed time. A mathematical model for this problem is presented, an improved hierarchical genetic algorithm (ant colony—hierarchical genetic algorithm) is developed for better solution, and a hierarchical coding method is used based on the characteristics of the problem. …”
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Group Decision-Making Approach without Weighted Aggregation Operators by Min Jiang, Zhiqing Meng, Rui Shen

“…This approach is more suitable for scenarios with infinite number of individuals. A mathematical model approach is established based on the new concept of s⁎-optimal concession equilibrium solution without weighted aggregation operators for group decision-making problems. …”
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ANALYSIS OF BULK TEMPERATURE FIELD OF CONSTANTLY NO CLEARANCE PRECISION STEEL BALL TRANSMISSION by HONG Cheng, AN ZiJun, XIA JingQi, WANG Ge

“…On the basis of heat transfer theory,the bulk temperature field of constantly no clearance precision steel ball transmission is studied and the formulas of relative sliding velocity,maximum contact stress,and friction coefficient are derived.Meantime,the mathematical models of heat flux of engagement pairs and convention heat transfer coefficient of each region are established. …”
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Bearing Fault Signal Analysis Based on an Adaptive Multiscale Combined Morphological Filter by Chun Lv, Peilin Zhang, Dinghai Wu, Bing Li, Yunqiang Zhang

“…To effectively eliminate noise in a fault signal, an adaptive multiscale combined morphological filter is proposed based on the theory of mathematical morphology. Both simulation and experimental results show that the adaptive multiscale combined morphological filter can remove noise more thoroughly and retain details of the fault signal better than the dual-tree complex wavelet filter, traditional morphological filter, adaptive singular value decomposition method (ASVD), and improved switching Kalman filter (ISKF). …”
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