Natural Frequency Analysis of a Parallel Legged Walking Robot with Clearance by Chengzhi Su, Jian Sun, Jinghua Wang, Daoxue Liu, Mingying Chen, Fangyuan Han

“…Aiming at the phenomenon of vibration and abnormal joint response in the operation of walking robot，the dynamics method is adopted to simulate the contact state of the clearance model of the moving pair，and the natural frequency of the walking robot with clearance is analyzed，avoiding the problem that the nonlinear factors are ignored in the simulation analysis of the computational modal analysis method. …”
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Study on Identification Method for Parameter Uncertainty Model of Aero Engine by Jie Bai, Shuai Liu, Wei Wang

“…The identification problem is solved by calculating nonlinear programming. Considering the parameter uncertainty of the model is the critical point of this research during the optimization process. …”
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A New Optimization via Simulation Approach for Dynamic Facility Layout Problem with Budget Constraints by Parham Azimi, Hamid Reza Charmchi

“…In the proposed algorithm, the nonlinear model of the DFLP has been changed to a pure integer programming (PIP) model. …”
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Generalized Quadratic Linearization of Machine Models by Parvathy Ayalur Krishnamoorthy, Kamaraj Vijayarajan, Devanathan Rajagopalan

“…In the exact linearization of involutive nonlinear system models, the issue of singularity needs to be addressed in practical applications. …”
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Micromechanical modeling and evaluation of CNTs reinforced magnesium matrix composites based on stress softening modified constitutive model by Mingjie Shen, Baojian Han, Tao Ying, Jingya Wang, Liping Zhou, Xiangzhen Xue, Yang Gao, Zongyang Yang

“…Heterogeneous composites have strong anisotropy and are prone to dynamic recrystallization during hot compression, making the mechanical response highly nonlinear. Therefore, it is a very challenging task to intellectually judge the thermal deformation characteristics of magnesium matrix composites (MgMCs). …”
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Diverse Exact Soliton Solutions of the Time Fractional Clannish Random Walker’s Parabolic Equation via Dual Novel Techniques by Imran Siddique, Khush Bukht Mehdi, M. Ali Akbar, Hamiden Abd El-Wahed Khalifa, Asim Zafar

“…In this article, we acquire a variety of new exact traveling wave solutions in the form of trigonometric, hyperbolic, and rational functions for the nonlinear time-fractional Clannish Random Walker’s Parabolic (CRWP) equation in the sense of beta-derivative by employing the two modified methods, namely, modified G′/G2− expansion method and modified F− expansion method. …”
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Monte Carlo Simulation of Linear Polymer Thermal Depolymerization under Isothermal and Dynamic Modes by Elena V. Bystritskaya, Oleg N. Karpukhin, Alla V. Kutsenova

“…Treatment of the model kinetic curves of degradation using the nonlinear regression method by the Avrami equation, under both isothermal and dynamic modes, gives correct activation energy and pre-exponential factor values independently of the initial PDI. …”
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Numerical Algorithm for Coupled Fixed Points in Normed Spaces with Applications to Fractional Differential Equations and Economics by Lifang Guo, Salha Alshaikey, Abeer Alshejari, Muhammad Din, Umar Ishtiaq

“…Moreover, we discuss the applications of our results in solving nonlinear integral equations. Furthermore, we introduce the idea of a coupled interpolative enriched cyclic Reich–Rus–Ćirić operator and establish the existence of a strongly coupled fixed-point theorem for this contraction. …”
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Power Control for Direct-Driven Permanent Magnet Wind Generator System with Battery Storage by Chu Xiao Guang, Kong Ying

“…Given that the wind generator system has inertia and is nonlinear, the dynamic model of the wind generator system takes the advantage of the duty of the Buck converter and employs feedback linearization to design the optimized turbine speed tracking controller and the load power controller. …”
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Mirror Prescription Regression: A Differential Interferometric Technique by Brian M. Robinson, Patrick J. Reardon, Joseph M. Geary

“…., radius of curvature and conic constant) of the mirror, based on these differential measurements, using a nonlinear regression. We apply this method successfully to the testing of a Space Optics Research Lab off-axis parabola with a known focal length of 152.4 mm, a diameter of 76.2 mm, and an off-axis angle of 12°.…”
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An Adaptive PHD Filter for Multitarget Tracking with Multispectral Data Fusion by Guoliang Zhang, Chunling Yang, Yan Zhang

“…This algorithm can deal with the nonlinear measurement on target state. In addition, the calculated probability of detection substitutes the fixed detection probability in PHD filter. …”
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SOM Neural Network Fault Diagnosis Method of Polymerization Kettle Equipment Optimized by Improved PSO Algorithm by Jie-sheng Wang, Shu-xia Li, Jie Gao

“…The fault pattern classification of the polymerization kettle equipment is to realize the nonlinear mapping from symptom set to fault set according to the given symptom set. …”
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Robust Position Control of a Knee-Joint Rehabilitation Exoskeleton Using a Linear Matrix Inequalities-Based Design Approach by Sahar Jenhani, Hassène Gritli, Jyotindra Narayan

“…The robot’s dynamics are nonlinear, accounting for unknown parameters, solid and viscous frictions, and external disturbances. …”
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A Semianalytical Model for Multiple-Fractured Horizontal Wells with SRV in Tight Oil Reservoirs by Jiahang Wang, Xiaodong Wang, Wenxiu Dong

“…One novelty of this model is to consider the nonlinear flow around hydraulic fracture tips. The other novelty is the ability to model the shape of the SRV, production behavior of different fractures, and interfaces. …”
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Finite-Time Terminal Sliding Mode Tracking Control for Piezoelectric Actuators by Jin Li, Liu Yang

“…The proposed controller is applied for nanopositioning of piezoelectric actuators (PEAs). Nonlinearities, mainly hysteresis, can drastically degrade the system performance. …”
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Classification of Alzheimer's disease using unsupervised diffusion component analysis by Dominique Duncan, Thomas Strohmer

“…The key difference between our method and others used to classify and detect AD early in its course is our nonlinear and local network approach, which overcomes calibration differences among different scanners and centers collecting MRI data and solves the problem of individual variation in brain size and shape. …”
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Relationship between Monthly Rainfall in NW Peru and Tropical Sea Surface Temperature by Juan Bazo, María de las Nieves Lorenzo, Rosmeri Porfirio da Rocha

“…The results show that linear regression model is not enough to provide satisfactory results; however, a nonlinear regression model improves considerably the prediction of rainfall anomalies in NW Peru.…”
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Distributed Approximating Functional Approach to Burgers’ Equation using Element Differential Quadrature Method by M Vaghefi, H Rahideh, MR Golbaher Haghighi, AK Manshad

“… This paper presents a computationally efficient and an accurate methodology in differential quadrature element method (EDQM) analysis of the nonlinear one-dimensional Burgers’ equation. Based on this approach, the total spatial and temporal domain is divided into a set of sub-domain and in each sub-domain, the DQ rule is employed to discretize the spatial and temporal domain derivatives. …”
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Probing a new regime of ultra-dense gluonic matter using high-energy photons with the CMS experiment by Verma Pranjal

“…This ambiguity hinders the separation of contributions from high and low-energy photon-nucleus interactions, restricting our ability to probe the extremely small-x regime where nonlinear QCD effects are anticipated. This writeup unveils the measurement of coherent heavy quarkonium photoproduction, addressing the two-way ambiguity by employing a forward neutron tagging technique in UPC PbPb collisions at 5.02 TeV. …”
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A New Local Modelling Approach Based on Predicted Errors for Near-Infrared Spectral Analysis by Haitao Chang, Lianqing Zhu, Xiaoping Lou, Xiaochen Meng, Yangkuan Guo, Zhongyu Wang

“…However, most chemical processes or analytes are multivariate and nonlinear in nature. To solve this problem, local errors regression method is presented in order to build an accurate calibration model in this paper, where a calibration subset is selected by a new similarity criterion which takes the full information of spectra, chemical property, and predicted errors. …”
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