The Research of Maneuverability Modeling and Environmental Monitoring Based on a Robotic Dolphin by Zhibin Xue, Liangliang Li, Yixiao Song

“…Additionally, an added tail joint allows for the turning movement with efficient parameters obtained by a fluid-structure coupling method. To obtain a mathematical model, several disturbance signals were considered, including systematic uncertainties of the parameters, the perpetually changing environment, the interference from obstacles with effective fuzzy rules, and a sliding mode of control. …”
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Finite Element Analysis of Dynamic Meshing Characteristic of Skew Bevel Gear with Equivocal Modification by Xiaoping Ran, Liyao Gu, Jianfan Wang

“…On the basis of the principal of gear generating machining method，the gear flank mathematical model and gear tooth flank contact line equation of skew bevel gears with equivocal modification are derived，the contact finite element dynamic analysis model with seven teeth is built，the position of edge contact in a meshing period，as well as the variation curves of contact stress and bending stress under different loads are obtained. …”
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A model of drug resistance with infection by health care workers by Avner Friedman, Najat Ziyadi, Khalid Boushaba

“…In this paper,we introduced a new mathematical model which focuses on theevolution of two bacterial strains, drug-resistant and non-drugresistant, residing within the population of patients and healthcare workers in a hospital. …”
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Analysis of blood flow features in the curved artery in the presence of differently shaped hybrid nanoparticles by K.N. Asha, Neetu Srivastava

“…This work provides a comprehensive overview of the mathematical model, its solutions, and visual data, offering valuable insights for researchers and medical professionals on the potential applications of hybrid nanoparticles in managing stenotic blood flow.…”
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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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Study on Engagement Performance of Engagement Sleeve and Engagement Gear Ring of Without Synchronizer Transmission by Cui Wenxia, Zhang Ruiliang, Zhang Bo

“…The engagement process is divided into four stages: free sliding stage, tooth tip collision stage, tooth tip friction stage and inter-tooth meshing stage, a mathematical model is established. The dynamics model of the engagement process is established by Adams. …”
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Multi-objective Reliability Optimization of NGW Type Reducer of the Road-rail Vehicle by Wen Junhu, Zheng Wei, Hao Shuai

“…Aiming at the problem of multi-objective reliability optimization for the reducer of road-rail vehicle,firstly,it must be ensured that the electric wheel planetary gear reducer is in good working order and loading conditions meet the requirements of transmission.By applying the reliability theory and optimization design technology,the reducer weight reduction,materials saving,low cost can be realized safety and reliability is improved.The MATLAB optimization toolbox is used to solve the problem of the optimization of reducer.Taking the volume and contact ratio as multi-objective optimization function,then the multi-objective optimization problem is transformed into single-objective problem to solve by the linear weighted method.The mathematical model is established by using the safety factor method and other constraints.By using Fmincon function,the optimizing calculation and analysis are carried out,the optimal solution is got,which makes the optimization design parameters more reasonable than the original design parameters.Consequently,the results show that the working performance of the electric wheel of the road-rail vehicle is improved.…”
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THE MAMMALIAN CIRCADIAN CLOCK: GENE REGULATORY NETWORK AND THEIR COMPUTER ANALYSIS by O. A. Podkolodnaya, N. N. Podkolodnaya, N. L. Podkolodnyy

“…This structural model, which includes the central component and functional subsystems that interact with the central component, can provide grounds for the construction of a mathematical model of the dynamics of the gene network regulating the circadian rhythm.…”
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Mathematical assessment of the role of temperature on desert locust population dynamics. by Dejen Ketema Mamo, Mathew N Kinyanjui, Nourridine Siewe

“…This study presents a novel non-autonomous mathematical model to explore the intricate relationship between temperature and desert locust population dynamics, considering the influence of both solitarious and gregarious phases across all life stages. …”
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Dynamics of gas bubbles under acoustic excitation by I.A. Aganin, A.I. Davletshin

“…The dependencies of the dynamics of the bubbles on the distance between them, their total gas mass, and wave amplitude have been studied for different bubble size ratios under a fixed total gas mass. A mathematical model taking into account the small nonsphericity of the bubbles, liquid viscosity, and compressibility has been used. …”
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Optimization of machining for the maximal productivity rate of the drilling operations by Ryspek Usubamatov, Abdusamad Abdiraimov

“…This paper presents a mathematical model for optimizing the cutting speed of a drilling machine tool to achieve its maximum productivity under realistic manufacturing conditions.…”
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Oscillator with a Sum of Noninteger-Order Nonlinearities by L. Cveticanin, T. Pogány

“…Free and self-excited vibrations of conservative oscillators with polynomial nonlinearity are considered. Mathematical model of the system is a second-order differential equation with a nonlinearity of polynomial type, whose terms are of integer and/or noninteger order. …”
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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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Feature Extraction and Wear Damage Degree Identification of Planetary Gear based on PSO-FC Optimization KPCA by Yan He, Zongyan Wang

“…The optimization mathematical model of the kernel function scale parameter is constructed by means of Fisher criterion（FC） discriminate function in pattern recognition， and the improved particle swarm optimization method is applied to the optimization to fully improve the analysis performance of the kernel principal component analysis（KPCA） for nonlinear problem. …”
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Analysis of the Instability Phenomena Caused by Steam in High-Pressure Turbines by Paolo Pennacchi, Andrea Vania

“…As a consequence, the eigenvalues and eigenmodes of the mathematical model of the machine change. The real part of the eigenvalue associated with the first flexural normal mode of the turbine shaft may become positive causing the conditions for unstable vibrations. …”
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Design and Analysis of Electric Power-assisted Variable Transmission Ratio Steering System for Sweeper by Dandan Chen, Zhijian Su, Yuzhuang Guo

“…Taking the electric power steering system of a certain model as an example， the transmission scheme of the steering gear used by the vehicle and the change of the output torque of the motor are studied. The mathematical model of the steering system is established， and the variable transmission ratio design parameters of rack and pinion are determined in combination with the operating conditions of the cleaning vehicle， and the calculation and contrastive analysis are carried out， the improvement effect of the scheme is verified. …”
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Optimizing Design of the Structure of Interior Lubrication Shift Gear Pump in Automatic Transmission by Yao Fangfang, Ma Haiying

“…By comparing experimental test of volumetric efficiency shows accuracy and reliability of the structural optimization design and built mathematical model,a reference for such transmission gear pump design is provided.…”
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Prolonging the Lifetime of Wireless Sensor Networks Interconnected to Fixed Network Using Hierarchical Energy Tree Based Routing Algorithm by M. Kalpana, R. Dhanalakshmi, P. Parthiban

“…This research work proposes a mathematical model for the lifetime of wireless sensor networks (WSN). …”
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A Game-Theoretic Approach for the Robust Daily Aircraft Routing Problem by Bin Deng, Hao Guo, Jingfeng Li, Junfeng Huang, Kaiyi Tang, Weidong Li

“…This paper presents a new robust integer mathematical model based on game theory that considers daily aircraft routing. …”
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