Three-Dimensional Reconstruction of Mechanical Parts Based on Digital Holography by Yaohui Dai, Haiyu Wu, Gang Zhu, Yan Yang

“…The multiaperture stitching technique in cylindrical coordinates is applied to digital holography technology, and the particle swarm optimization algorithm is used to transform the nonlinear equations into optimization problems to solve the splicing parameters. …”
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Modelling of size and shape of damage zone in quasi-brittle notched specimens – analytical approach based on fracture-mechanical evaluation of loading curves by J. Klon, V. Veselý

“…A method of separation of the energy amounts released for the propagation of the (effective) crack and that dissipated within the volume of a large nonlinear zone at the crack tip – the fracture process zone – is introduced and tested on selected data from experimental campaigns published in the literature. …”
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The Optimal Insurance Policy for the General Fixed Cost of Handling an Indemnity under Rank-Dependent Expected Utility by Liurui Deng

“…So, we explore the more general fixed cost function including both the linear and nonlinear functions. On the other hand, we consider adverse selection and moral hazard which are involved by Bernard et al. …”
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Application of a Recurrent Neural Network and Simplified Semianalytical Method for Continuous Strain Histories Estimation by Huan Luo, Miaohua Huang, Wei Xiong

“…The recurrent neural network named nonlinear autoregressive model with exogenous inputs (NLARX) is applied to determine the relationship between external loads and corresponding fatigue loading. …”
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Trajectory Planning of Crossed Roller Bearing Automatic Assembly Robotic Arms Based on the Improved Gray Wolf Optimizer by Hu Jiangtao, Dang Yugong, Zhou Zhigang, Zhang Yupeng

“…The linear control factor of the algorithm was replaced with a nonlinear control factor, and the algorithm was combined with the beetle antennae search (BAS) algorithm. …”
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Research on Bearing Theory of Squeezed Branch Pile by Hong-wei Ma, Yi-ying Wu, Yu Tong, Xiao-qiang Jiang

“…In combination with the nonlinear relation of the interaction between piles and soil, the hyperbolic function is used to describe the pile tip, pile skin, and branch. …”
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Adaptive Moving Sliding Mode Control for SISO Systems: Application to an Electropneumatic System by Assil Ayadi, Soufien Hajji, Mohamed Smaoui, Abdessattar Chaari

“…This paper aims to propose and develop an adaptive moving sliding mode controller (AMSMC) that can be applied for nonlinear single-input single-output (SISO) systems with external disturbances. …”
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DYNAMIC BEHAVIOR AND SYNCHRONIZATION STUDY IN FITZHUGH-NAGUMO OSCILLATORS UNDER TIME DELAYS by YU RongRong, XI XiaoJian, Shang YunYan

“…In order to study mixed-mode oscillations and synchronization shown by coupled Fitz Hugh-Nagumo oscillators under time delays,the influence of different time delays and coupling strengths on synchronization behavior of the system was investigated by using analysis method of nonlinear dynamics and MATLAB software. Firstly,according to the dynamics of two FHN oscillations coupled by a single time delay,there was small in-phase and large out-of-phase oscillations influenced by diverse time delays. …”
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Prescribed Performance Neural Control of Strict-Feedback Systems via Disturbance Observers by Wei Xiang, Guangkui Xu, Fang Zhu, Chunzhi Yang

“…And radial basis function neural networks (RBFNNs) are used to approximate nonlinear functions, while second-order filters are employed to eliminate the “explosion-complexity” problem inherent in the existing method. …”
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A Numerical Model to Predict the Anisotropy of Polymer Composites Reinforced with High-Aspect-Ratio Short Aramid Fibers by Jianhong Gao, Xiaoxiang Yang, Lihong Huang

“…Therefore, the FE model was employed to predict the orientation distribution of a composite fiber with a nonlinear matrix. The predicted and experimental results agree well.…”
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EVIDENCE OF TIME-VARYING HERDING BEHAVIOR FROM THE VIETNAMESE STOCK MARKET by Đoàn Anh Tuấn, Hoàng Mai Phương

“…The study also highlights important policy implications that can help to reduce investors’ complicated nonlinear reactions in the Vietnamese Stock market.…”
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Global Bifurcation from Intervals for the Monge-Ampère Equations and Its Applications by Wenguo Shen

“…We shall establish the global bifurcation results from the trivial solutions axis or from infinity for the Monge-Ampère equations: det(D2u)=λm(x)-uN+m(x)f1(x,-u,-u′,λ)+f2(x,-u,-u′,λ), in B, u(x)=0, on ∂B, where D2u=(∂2u/∂xi∂xj) is the Hessian matrix of u, where B is the unit open ball of RN, m∈C(B¯,[0,+∞)) is a radially symmetric weighted function and m(r):=m(x)≢0 on any subinterval of [0,1], λ is a positive parameter, and the nonlinear term f1,f2∈C(B¯×R+3,R+), but f1 is not necessarily differentiable at the origin and infinity with respect to u, where R+=[0,+∞). …”
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An Improved Shock Factor to Evaluate the Shock Environment of Small-Sized Structures Subjected to Underwater Explosion by Wenzheng Zhang, Weikang Jiang

“…The coupled mode method is applied to study the scattering field surrounding the cylindrical shells. A nonlinear relation differential is derived from the impact received by the cylindrical shells and the ratio between the diameters of the shells and the wavelength of the incident wave. …”
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Control of Energy Storage Systems for Aeronautic Applications by G. Canciello, A. Cavallo, B. Guida

“…Formal stability proofs are given for the resulting nonlinear system, and strong robustness results from the use of high-gain and variable structure control implementation. …”
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Design and Application of Reliability Calculation Program Based on Secondary Development of ABAQUS by ZOU Hong, WU Jian, XU Zhichun, YANG Li

“…As a kind of finite element analysis software,ABAQUS is widely used in nonlinear simulation field,but there is no universal and mature reliability calculation module.Therefore,it is necessary to establish a general reliability calculation program for Monte Carlo simulation based on finite element model to meet the automation requirements of reliability calculation of various structures in ABAQUS.This paper firstly puts forward the design idea and main functions of reliability calculation program in ABAQUS,including random number generation,model batch building,automatic result extraction and so on;then,develops the pre-processing and post-processing modules of ABAQUS with Python language for modularizing the main functions of the program;finally,introduces the application method of this reliability calculation program in detail taking the reliability calculation process of the finite element model of a simply supported steel truss bridge as an example.This reliability calculation program can effectively improve the degree of automation in the process of structural reliability calculation,and reduce the calculation time,which has great reference value in engineering application.…”
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DCA-Based Real-Time Residual Useful Life Prediction for Critical Faulty Component by Funa Zhou, Jiayu Wang, Yulin Gao

“…The innovation of this paper is as follows: (1) Wavelet filtering based method is developed for early detection of slowly varying fault. (2) Designated component analysis is introduced as a feature extraction tool to define the fault precursor of a specific component. (3) Exponential life prediction model is established by nonlinear fitting of the historical RUL and the fault size characterized by the statistics used. …”
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A NEW METHOD FOR PREDICTING FATIGUE LIFE UNDER TENSION-TORSIONAL LOADING by ZHANG YanJun, LEI MeiRong, SU Fang

“…The established nonlinear fatigue damage model based on the theory of damage mechanics has been widely applied to multiaxial fatigue life prediction,however,this method does not consider the physical significance in the damage plane.This problem can be solved by combining with the critical plane method.Taking the thin-walled cylindrical specimen as the study object,a new damage parameter applicable to proportional and nonproportional multiaxial fatigue damage is proposed by means of von Mises rule based on the critical plane method with consideration of the influences of phase delay on the fatigue life are analyzed as well.The new defined damage parameter not only considers the maximum shear stain and normal strain on the critical plane,but also considers the effect of the additional cyclic hardening caused by the nonproportional loading on the fatigue life.The fatigue life predicted by the proposed damage model of three types of materials are proved to be in good agreement with experimental results.It is convenient for engineering application because the uniaxial fatigue data and material constants are considered only in this model.…”
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CSI feedback algorithm based on deep unfolding for massive MIMO systems by Yong LIAO, Gang CHENG, Yujie LI

“…In order to solve the problem that the channel state information (CSI) feedback algorithm based on deep learning in massive MIMO systems at present had too many parameters to be trained and could not be explained well, two CSI feedback algorithms based on depth expansion were proposed.The first one was approximate message delivery (AMP) algorithm based on learnable parameters.The learnable parameters in deep learning were used to replace the threshold value of the threshold function in the AMP algorithm and the parameters of the Onsage correction term.The nonlinear ability of threshold function in dealing with non-strict sparse data was enhanced.The other was the AMP algorithm based on convolutional network, which replaced the threshold function module with the convolutional residual learning module, and used the module to remove the Gaussian random noise generated by each iteration of the AMP algorithm.Simulation results show that the proposed two algorithms have better CSI feedback performance than AMP algorithm, and the AMP algorithm based on convolutional network has better CSI reconstruction performance than the representative method based on deep learning.…”
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Local and global asymptotic behavior of malaria-filariasis coinfections in compliant and noncompliant susceptible pregnant women to antenatal medical program in the tropics by Oluwatayo M. Ogunmiloro

“…In this paper, a mathematical nonlinear model system of equations describing the dynamics of the co-interaction between malaria and filariasis epidemic affecting the susceptible host population of pregnant women in the tropics is formulated. …”
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Effect of Structure Parameter on Stress Distribution of Double Helical Tooth Synchronous Timing Belt by Guo Jianhua, Li Shan, Hu Qingming

“…The large deformation and nonlinear static analysis of the above models are conducted with finite analysis software ANSYS Workbench. …”
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