Modeling and control design of a bronchoscope robotics system by Yuhua Song, Lifeng Zhu, Jinfeng Li, Cheng Wang, Aiguo Song

“…To achieve precise control of the system, the mathematical model is established at first. The system mainly consists of an inserting tube and a tube tip, which are modeled based on a moving flexible beam and a soft robot, respectively. …”
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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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DESIGN AND INTENSITY ANALYSIS OF PORTABLE ADVERTISEMENT CLEANING MACHINE by LI Hao, GE YanYan, TIAN ChenYao, LIU HaiMa, ZHU WenJie, XIAO MaoHua

“…Driven by electricity,the brush rotates at the speed of 3000 r / min.The static method is used to analyze the stress of the brush and the guide rod,the mathematical model of brush is established,and the optimum solution of brush size and motor power is obtained by using MATLAB. the three-dimensional solid model of the cleaning machine is established by pro / E,static and modal analysis of brush are completed using ANSYS. …”
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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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Modeling the dynamics of two-factor socio-economic states through mappings close to extension by V. V. Egorov

“…A new way of developing a mathematical model of the dynamics of the factors forming the considered social, political, economic, ecological or other space of life activity of society, depending on local changes in parameters affecting these factors, is presented. …”
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RESEARCH ON MECHANISM AND INFLUEBTIAL FACTORS OF TORSIONAL VIBRATION OF MAIN DRIVE ELECTROMECHANICAL COUPLED SYSTEM OF ROLLING MILL by GAO ChongYi, WEI YunPing, QIN HongXing, XIAO ChunYing, LI JianXiong

“…Then,the mechanical and mathematical models of the main drive torsional vibration system are established. …”
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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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Higher-order topology for collective motions by Zijie Sun, Tianjiang Hu

“…Abstract Collective motions are prevalent in various natural groups, such as ant colonies, bird flocks, fish schools and mammal herds. Physical or mathematical models have been developed to formalize and/or regularize these collective behaviors. …”
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Similarities and differences between working processes of Ranque effect and Hartmann–Sprenger tube by V. I. Kuznetsov, V. V. Makarov, A. Yu. Shander

“…The physical and mathematical models of the processes occurring in the vortex tubes (Ranque effect) and Hartmann–Sprenger tube. …”
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Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling by Douglas Domingues Bueno, Luiz Carlos Sandoval Góes, Paulo José Paupitz Gonçalves

“…The proposed methodology is developed for the three degrees of freedom typical section airfoil considering aerodynamic forces from Theodorsen’s theory. The mathematical model is written in the state space representation using rational function approximation to write the aerodynamic forces in time domain. …”
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SAPA-based approach for defending DoS attacks in cloud computing by Meng YUE, Kun LI, Zhi-jun WU

“…Denial of service (DoS) attack was one of the major threats to cloud computing.Security access path algorithm (SAPA) used node route table (NRT) to compose security access path.It simplified role nodes of traditional secure overlay services (SOS),and periodically updated role nodes,and cached security access paths.Therefore,SAPA was more appropriate for cloud computing to defend DoS attacks.Based on the turn routing architecture of cloud computing,the mathematical model of SAPA was built and its performance was analyzed in theory.The performance of SAPA was tested in OMNeT++ experimental platform.Also,the Test-bed experiments were performed to evaluate the effectiveness of SAPA for defending DoS attack.Experimental results show that comparing with SOS,SAPA can degrade the impact of communication success rate caused by DoS attack effectively,and guarantees the access delay small enough.…”
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METHOD FOR MODIFYING PROFILE OF CYCLOIDAL WHEEL CONSIDERING COMPENSATION FOR ELASTIC DEFORMATION by QIN ZhengZheng, WANG Quan, ZHAO DaXing, WANG Jun, ZENG LiLei

“…The coordinate transformation principle was used to fit the profile of the cycloid after elastic deformation,and the theoretical calculation of the contact force of the cycloid tooth surface was carried out. And the mathematical model of the profile modification of the cycloid with elastic deformation characteristics was established,which was solved by genetic algorithm and compared with the modification method without considering elastic deformation.The results show that compared with the modification method without considering elastic deformation,the fitting degree of the actual working tooth profile and the angle modification tooth profile is improved to 1. 52 times,and the contact force of the tooth surface is reduced to8. 27%,thus verifying the rationality and feasibility of the method.…”
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Analysis of Thermal Elastohydronamic Lubrication of Inclined Double-roller Enveloping Hourglass Worm Drive by Ou Yue, Li Jinkuan, Zhu Yan, Liu Zaixin, Liao Honghui

“…According to the line contact mathematical model with Ree-Eyring fluid,the distribution of the minimum film thickness of EHL and thermal EHL（ TEHL） are analyzed. …”
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The replicability of oncolytic virus: Defining conditions in tumor virotherapy by Jianjun Paul Tian

“…This article analyzes a basic mathematical model that includes burst size for oncolyticvirotherapy. …”
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The surface of non-linear rotation by K. L. Panchuk, T. M. Myasoyedova

“…The paper considers a geometric scheme, a mathematical model and an algorithm for shaping a non-linear rotation surface. …”
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Questions from the fourth son: A clinician reflects on immunomonitoring, surrogate markers and systems biology by Charles Wiseman, M.D.

“…The development of mathematical models from empirical data may help inform the clinician/scientist about underlying mechanisms and help frame new testable hypotheses.…”
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Research on the Influence of the RV-40E Reducer Modal on Its Transmission Error by Ding Guolong, Zhan Mingru, Zhao Daxing, Yu Yunqing, Dong Honggang

“…In order to reveal the influence law of RV reducer modal on transmission error, the RV-40E is used as the research object, the equivalent model method is used to construct its mass stiffness dynamic model and then the mathematical model of the RV reducer transmission error and natural frequency is established. …”
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Intelligent Management of Air Traffic Flow Based on Intelligent Motion Coordinate Data Model by Junhao Liu, Qing Cheng, Yuanji Wang, Changqi Yang, Rui Zhou, Xinping Zhu, Di Yao, Junjie Zhou, Yaqian Du, Shanshan Yang

“…To adapt to the intelligent management of traffic flow in modern aviation, this study improves the algorithm according to the data exercise method and establishes the mathematical model and vector model of intelligent motion coordinates. …”
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Multi-constraints QoS routing optimization based on improved immune clonal shuffled frog leaping algorithm by Yi LU, Mengying XU, Jie ZHOU

“…Aiming at the multi-constraint routing problem,a mathematical model was designed,and an improved immune clonal shuffled frog leaping algorithm (IICSFLA) was proposed,which combined immune operator with traditional SFLA.Under the constraints of bandwidth,delay,packet loss rate,delay jitter and energy cost,total energy cost from the source node to the terminal node was computed.The proposed algorithm was used to find an optimal route with minimum energy cost.In the simulation,the performance of IICSFLA with adaptive genetic algorithm and adaptive ant colony optimization algorithm was compared.Experimental results show that IICSFLA solves the problem of multi-constraints QoS unicast routing optimization.The proposed algorithm avoids local optimum and effectively reduces energy loss of data on the transmission path in comparison with adaptive genetic algorithm and adaptive ant colony optimization algorithm.…”
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Power Balance Optimization Technology of Microgrid Based on Full-Bridge Converter by Shuailong Dai, Bin Cao, Rui Liu, Liyang Zhu, Mengfan Li

“…First, the working structure and mathematical model are analyzed, and the power model is then established. …”
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