Multi-Scale Robotics: A Numerical Investigation on Mobile Micro-Tweezers for Micro-Manipulation with Extreme Requirements by Ahmet Fatih Tabak

“…Here, a comprehensive mathematical model is presented to reflect on the dynamics of such micro-tweezer systems. …”
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A Comparative Analysis of Prominent Virtual Synchronous Generator Strategies Under Different Network Conditions by Chalitha Liyanage, Inam Nutkani, Lasantha Meegahapola

“…Furthermore, comprehensive mathematical models of VSGs have been derived in order to verify the simulation results through a frequency domain stability analysis. …”
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A model of optimal dosing of antibiotic treatment in biofilm by Mudassar Imran, Hal L. Smith

“…Biofilm formation is theprimary cause of several persistent infections found in humans. Wederive a mathematical model of biofilm and surrounding fluiddynamics to investigate the effect of a periodic dose of antibioticon elimination of microbial population from biofilm. …”
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Kinetics of Solidification and Crystallization of Liquid Axial Zone of Fe-C Alloys in Cylindrical Molds by V. Khrychikov, O. Semenov, Y. Aftandiliants, S. Gnyloskurenko, T. Semenova, H. Meniailo

“…The obtained curves can also be used to assess the accuracy of computer modeling of the processes of Fe-C alloys solidification and further adaptation of mathematical models by the correction of thermophysical coefficients, the values of which are not always known in the liquidus-solidus temperature range.…”
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Voltage Stability Analysis of Front-End Speed Controlled Wind Turbine Integrated into Regional Power Grid Based on Bifurcation Theory by Kaide Ren, Hongwei Li, Shuaibing Li, Haiying Dong

“…Firstly, differential-algebraic equations (DAEs) describing the dynamic characteristics of the wind turbine are given and the mathematical model of the system includes FSCWT is established. …”
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Research Progress and Prospect of Extreme Water Increase by Storm Surge in Estuaries — A Case Study of Guangdong-Hong Kong-Macao Greater Bay Area by LIU Yuexuan, LI Huijing, LI Lanbin, LIU Xiaojian

“…Significant increases in water and extreme tide levels caused by typhoon storm surges are the primary threat to flood safety in estuarine areas,and are also the main cause of major natural disaster losses in the Guangdong-Hong Kong-Macao Greater Bay Area in recent years.This paper reveals the evolution patterns of water increase in storm surges over the years and introduces corresponding research methods.Meanwhile,it systematically reviews research achievements on the formation mechanism of extreme tide levels in storm surges from both foreign and domestic perspectives.Combined calculation models of extreme tide levels formed by astronomical tides and storm surges in China and abroad are also summarized,with a focus on achievements in dynamic mechanisms during extreme water increase in storm surges.Additionally,a two-dimensional nested mathematical model of storm surges in the South China Sea and the Pearl River Estuary is built,and the most unfavorable typhoon intensity and path are designed.The maximum water increase distribution in the Guangdong-Hong Kong-Macao Greater Bay Area is preliminarily simulated and obtained.Finally,it is urgent to put forward a set of safe,concise,and applicable formula for calculating the extreme tide levels of storm surges as soon as possible based on the understanding of the physical mechanism of the interaction between astronomical tides and storm surges.…”
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Influences of Hydrodynamic Forces on the Identification of the Rotor-Stator-Rubbing Fault in a Rotating Machinery by Bernard Xavier Tchomeni, Desejo Filipeson Sozinando, Alfayo Alugongo

“…The simplified mathematical model of the rotor-stator system is established based on the energy principle. …”
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Analysis of Drag Torque Characteristic of Hydro-viscous Clutch with Consideration of Cavitation Effect by Sun Chunlian

“…In order to accurately predict the internal flow field and drag torque characteristics of the hydro-viscous clutch,with the flow field of double circular groove clearance as the research object,based on the principle of hydrodynamics and the Newtonian internal friction law,a two-phase flow CFD mathematical model considering cavitation effect is established,the fluid field is numerically simulated by FLUENT,and the influence of different rotational speed,inlet pressure and film thickness on field distribution,pressure distribution and drag torque characteristics are studied. …”
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Research on design and control method of active vibration isolation system based on piezoelectric Stewart platform by Zhiyi Fang, Zhiliang Yu, Qingping Huang, Yanfen Wang, Xingsheng Gu

“…Next, given the inherent hysteretic nonlinearity of piezoelectric ceramics, which significantly affects positioning accuracy, the hysteresis mechanism of the actuators is analyzed, and a phenomenological mathematical model based on Bouc–Wen operators is established. …”
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ALGORITHMIZATION OF PROBLEMS FOR OPTIMAL LOCATION OF TRANSFORMERS IN SUBSTATIONS OF DISTRIBUTED NETWORKS by M. I. Fursanov, N. S. Petrashevich

“…The possibility of such replacement is considered in order to increase efficiency of electrical network operation connected with its physical wear and aging.In this article the faults of early developed mathematical models of transformers replacement were discussed. …”
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Damping Torque Analysis of the PMSG-Based WT with Supplementary Damping Control for Mitigating Interarea Oscillations by Yanan Yang, Yujun Li, Xiaotian Yuan, Jiapeng Li, Zhengchun Du

“…This study presents a comprehensive analysis of the impact that a supplementary damping controller of the permanent magnet synchronous generator (PMSG)-based wind turbine (WT) has on low-frequency oscillation (LFO) damping. A reduced mathematical model of an interarea system is first established. …”
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Synthesis and Empirical Analysis of the Thermophysical Characteristics of GO-Ag Aqueous Hybrid Nanofluid Using Environmentally Friendly Reducing and Stabilizing Agents by M. Armstrong, M. Sivasubramanian, N. Selvapalam, R. Pavitra, P. Rajesh Kanna, Haiter Lenin

“….% exhibited the most significant enhancement in thermal conductivity, with improvements of 15.22% at 293 K and 31.19% at 333 K compared to the base fluid. A mathematical model was developed based on the thermal conductivity experimental results using the response surface methodology (RSM). …”
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A novel numerical solution of nonlinear stochastic model for the propagation of malicious codes in Wireless Sensor Networks using a high order spectral collocation technique by Junjie Zhu, Misbah Ullah, Saif Ullah, Muhammad Bilal Riaz, Abdul Baseer Saqib, Atif M. Alamri, Salman A. AlQahtani

“…Abstract The open nature of Wireless Sensor Networks (WSNs) renders them an easy target to malicious code propagation, posing a significant and persistent threat to their security. Various mathematical models have been studied in recent literature for understanding the dynamics and control of the propagation of malicious codes in WSNs. …”
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Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System by N. A. Saeed, Emad Mahrous Awwad, Ali Maarouf, Hassan M. H. Farh, Fahd A. Alturki, Jan Awrejcewicz

“…The equations of motion that govern the whole system dynamics are derived including the rub and impact forces. The derived mathematical model is analyzed in two basic steps. Firstly, the obtained model is treated as a weakly nonlinear system using perturbation analysis to obtain the slow-flow modulating equations when neglecting the rub and impact forces. …”
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Active Fault-Tolerant Control Based on the Fault of Electromagnetic Hybrid Active Suspension by Farong Kou, Jianghao Wu, Jian Gao, Dapeng Wu, Ruochen Chen

“…The 1/4 vehicle two-degree-of freedom suspension model, the linear motor mathematical model, and the solenoid valve shock absorber test model are established. …”
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Multi-Objective Optimization for Green BTS Site Selection in Telecommunication Networks Using NSGA-II and MOPSO by Salar Babaei, Mehran Khalaj, Mehdi Keramatpour, Ramin Enayati

“…After presenting the mathematical model, validation was performed on a small scale, followed by sensitivity analysis of the main parameters of the model. …”
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Cloud Platform Selection Model in the Framework of Differential Quality Game With Fuzzy Information by Kaiyrbek Makulov, Arkadii A. Chikrii, Valery Lakhno, Bagdat Yagaliyeva, Volodimir Malyukov, Inna Malyukova, Miroslav Lakhno

“…The paper presents a mathematical model integrated into the computational core of a decision support system (DSS) for the selection of cloud platforms under conditions of fuzzy information. …”
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Study on Temperature Rise Characteristics of Grease Lubricated Thrust Angular Contact Ball Bearings Under Complex Working Conditions by Shijie Wang, Pengchang Jiang, Feng Liu, Guixiu Luo, Zhanli Zhang

“…The temperature rise characteristics of the grease lubricated thrust angular contact ball bearings under complex working conditions are studied； a mathematical model of friction heating rate of thrust angular contact ball bearings is established； based on heat transfer theory， the heat transfer mode of spindle-bearing-bearing block system is analyzed， the temperature rise model of bearing is established and the rationality of the model is verified by experiments. …”
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New Difference Sequence Spaces Defined by Musielak-Orlicz Function by M. Mursaleen, Sunil K. Sharma, S. A. Mohiuddine, A. Kılıçman

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Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications by Maria Gandarias, Mariano Torrisi, Maria Bruzón, Rita Tracinà, Chaudry Masood Khalique

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