A Study on Calculation Method and Influence Factor of Critical Speed of Helicopter Tail Drive Shaft by De Ni, Cheng Duan, Miaofei Cao, Jing Wei

“…Taking the helicopter oblique tail drive shaft as the research object，and considering bending moment，lateral displacement，shear distortion，moment of inertia，gyroscopic moment and axial force，etc. a calculation model for the critical speed of the tail drive shaft is established and a calculation formula for the critical speed is derived. By comparing calculation results of several analysis models，the influence law among various influence factors upon the critical speed of the tail drive shaft is obtained and a suggestion for the selection of critical speed analysis method of helicopter tail drive shaft is also given.…”
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Sparse adaptive constant blind equalization algorithm for sparse multipath channel by Si-yang MA, Hua PENG, Bin WANG

“…In order to improve the convergence rate of the blind equalizer for sparse multipath channel,a novel blind equalization approach called l₀-norm constraint proportionate normalized least mean square constant algorithm was proposed for M-order phase-shift keying (MPSK) signal.Based on the constant modulus characteristics of MPSK signal and the sparse property of equalizer,a new blind equalization cost function with the l₀-norm penalty on the equalizer tap coefficients was firstly constructed.Then the update formula of the tap coefficients was derived according to the gradient descent algorithm.Moreover,the iteration step was updated by drawing upon the normalized proportionate factor.The algorithm not only assigned step sizes proportionate to the magnitude of the current individual tap weights,but also attracted the inactive taps to zero adaptively.Theoretical analysis and simulation results show that the proposed algorithm outperforms the existing blind equalization algorithms for sparse channel in reducing ISI and improving convergence rate.…”
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Model Predictive Control of Robotic Grinding Based on Deep Belief Network by Shouyan Chen, Tie Zhang, Yanbiao Zou, Meng Xiao

“…A rolling optimization formula derived from the energy function is also established to optimize control output in real time and perform feedback control. …”
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Damage severity for cracked simply supported beams by Ehab Samir Mohamed Mohamed Soliman

“…The exhibited correlation between results for damaged beam revealed that crack damage severity is proportional to static deflection and inversely proportional to first mode frequency.…”
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The Principle of Mathematical Induction: Applications in Physical Optics by Joseph Ivin Thomas

“…Following an outline of some elementary concepts from vector algebra and phasor analysis, the proofs by induction of a couple of salient results in multiple-slit interferometry are presented, viz., the fringe intensity distribution formula and the upper bound of the total fringe count. …”
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Study on Fatigue Test and Life Prediction of Polyurethane Cement Composite (PUC) under High or Low Temperature Conditions by Hongshuai Gao, Quansheng Sun

“…Under temperature and external force coupling condition, a method for predicting fatigue life of PUC is proposed by the combination of theoretical deduction and experimental research. The results show that the proposed formula can effectively describe the fatigue life and fatigue limit of PUC. …”
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Implementing the Vieta–Lucas Collocation Optimization Method for MHD Casson and Williamson Model under the Effects of Heat Generation and Viscous Dissipation by M.M. Khader, A. Eid, M. Adel

“…The statistics, which are given visually, were compared to the results of other researchers’ theoretical analysis.…”
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Experimental Study on Energy Dissipation of Saturated Mudstone in Coal Mine under Impact Loading by Liangjie Guo, Yongyu Wang

“…The results show that under the back-and-forth reflection of the stress wave, the saturated mudstone specimens are characterized by circumferential failure and axial splitting damage, which appear in the rock grain interface. …”
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Estimation of stationary and non-stationary moving average processes in the correlation domain. by Martin Dodek, Eva Miklovičová

“…In the non-stationary case, the estimation complexity is notably reduced, resulting in a triangular system of linear equations solvable by backward substitution. …”
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Variable Transmission Range Routing Protocol Based on Vehicle Density in VANET by Rong Cai, Guoan Zhang, Yuebo Wu

“…In order to solve the problem of unstable connectivity and high bit error rate,which are caused by rapid changes in the density of vehicles on the road,while the transmission radius remained unchanged,a variable transmission range routing protocols based on vehicle density in vehicular Ad-Hoc network was proposed.According to different vehicle density,node could adjust the farthest transmission distance and reduce the transmission latency of the message,which could ensure high connection probability of the network.Based on homogeneous poisson point process model,the change conditions of transmission range with different vehicle density were deduced,and its feasible was proved.Furthermore,mathematical calculate formula of average latency was obtained according to the theoretical analysis.At last,variable transmission range routing protocol based on vehicle density and fixed transmission range routing protocol were compared by simulation.The simulated results show that the proposed protocol can be applied in actual environments,and the message can be transmitted fast from source node to destination node under the condition of high connection probability.…”
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Accurate Empirical Path Loss Models with Route Classification for mmWave Communications by Supachai Phaiboon, Pisit Phokharatkul

“…However, these NLOS routes can be combined into a single formula. The path loss models were fitted with measured path loss data at frequencies of 28 GHz and 73 GHz. …”
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新型机加工弹簧静压状态下的应力集中研究 by 王立超, 周燕飞

“…The stress concentration at the end of spiral groove is very serious during the static tension and compression of the new machined spring,which has a great influence on the strength and fatigue life of the spring.The influence of spring basic parameters on the stress concentration coefficient was analyzed by ANSYS software,and the theoretical criterion for the existence of stress concentration in machined springs is determined.The effects of tangential stress release hole on compression deformation and stress concentration coefficient were investigated; Based on the strength theory and bending theory of curved beam,the formula of maximum equivalent stress without stress concentration was deduced.The results show that when the ratio of the width of the spiral groove to the pitch is less than 0.5,stress concentration occurs in machined springs with the middle diameter between 15 mm ～ 35 mm.The stress concentration can be basically eliminated by cutting stress release hole at the end of spiral groove and controlling its size to be close to the height of rectangular section.The error between the equivalent stress value of the inner ring and the simulation value is less than 3%.It provides an important reference for the subsequent engineering design and application of the new spring.…”
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Measurement-Based Prediction of mmWave Channel Parameters Using Deep Learning and Point Cloud by Hang Mi, Bo Ai, Ruisi He, Anuraag Bodi, Raied Caromi, Jian Wang, Jelena Senic, Camillo Gentile, Yang Miao

“…The major differences include higher path loss and sparser multipath components (MPCs), resulting in more significant time-varying characteristics in mmWave channels. …”
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Pinning Synchronization for Complex Networks with Interval Coupling Delay by Variable Subintervals Method and Finsler’s Lemma by Dawei Gong, Frank L. Lewis, Liping Wang, Dong Dai, Shuang Zhang

“…First, by using an inequality which is introduced from Newton-Leibniz formula, a new synchronization criterion is derived. …”
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New Equivalent Linear Impact Model for Simulation of Seismic Isolated Structure Pounding against Moat Wall by Yang Liu, Wen-Guang Liu, Xin Wang, Wen-Fu He, Qiao-Rong Yang

“…The effectiveness of ELIM is verified by comparing the results of numerical analyses with the results of pounding experiments. …”
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A new Track of Fatigue crack growth in Aluminum Alloy (2219) under Cyclic Stresses by Abdullah Dhayea Assi

“…A model consisting of three formulas was established from the experimental results. …”
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RESIDUAL LIFE PREDICTION AND CRACK GROWTH PROPERTY ANALYSIS FOR NO.17 GORGER COUPLER YOKE WITH SHALLOW SURFACE CRACK by JING ZhiMing, LIU YuJie, ZHANG Juan, KANG GuoZheng

“…Based on the simulation results, a residual life prediction formula is obtained for the coupler yoke with the intermediate crack and corner crack under different initial crack lengths.…”
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A High Performance Adaptive Digital LDO Regulator With Dithering and Dynamic Frequency Scaling for IoT Applications by Muhammad Asif, Imran Ali, Danial Khan, Muhammad Riaz Ur Rehman, Qurat- Ul-Ain, Muhammad Basim, Young Gun Pu, Minjae Lee, Keum Cheol Hwang, Youngoo Yang, Kang-Yoon Lee

“…The operating frequency is 10 MHz with fast transient response and quiescent current of 350 ns and <inline-formula> <tex-math notation="LaTeX">$3.7~\mu \text{A}$ </tex-math></inline-formula>, respectively. …”
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Basic Characteristics of Ionic Liquid-Gated Graphene FET Sensors for Nitrogen Cycle Monitoring in Agricultural Soil by Naoki Shiraishi, Jian Lu, Fatin Bazilah Fauzi, Ryo Imaizumi, Toyohiro Tsukahara, Satoshi Mogari, Shosuke Iida, Yusuke Matsukura, Satoshi Teramoto, Keisuke Yokoi, Izumi Ichinose, Mutsumi Kimura

“…Soil microorganisms transform nitrogen from fertilizers into <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msubsup><mrow><mi mathvariant="normal">N</mi><mi mathvariant="normal">O</mi></mrow><mrow><mn>3</mn></mrow><mrow><mo>−</mo></mrow></msubsup></mrow></semantics></math></inline-formula>–N, which is absorbed by crops. …”
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Research on Noise Reduction of RV Reducers by Gear Modification Based on the Orthogonal Test by Liu Wenchuan, Zhang Yinghui, He Weidong

“…The research results have certain reference significance for gear modification of different types of RV reducers.…”
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