An efficient technique to study of time fractional Whitham–Broer–Kaup equations by Nishant Bhatnagar, Kanak Modi, Lokesh Kumar Yadav, Ravi Shanker Dubey

“…The method’s novelty and straightforward implementation establish it as a reliable and efficient analytical technique for solving both linear and nonlinear fractional partial differential equations.…”
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On the lumped damage modelling of reinforced concrete beams and arches by Thalyson Issac de Jesus Brito, Danilo Menezes Santos, Fabio Augusto Silva Santos, Rafael Nunes da Cunha, David Leonardo Nascimento de Figueiredo Amorim

“…The lumped damage mechanic applies concepts of the classic fracture and damage mechanics in plastic hinges for nonlinear analysis of reinforced concrete structures. …”
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Metasurface spatial filters for multiple harmonic signals by Kim Daeik, Nguyen Mai Anh, Byun Gangil, Lee Jongwon

“…Nonlinear frequency mixings have shown an alternative way to create new electromagnetic sources in frequency ranges that are difficult to access with conventional techniques. …”
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Buckling Knockdown Factors for Hemispherical Foam Core Sandwich Shells With Single Dimple by Chang-Hoon Sim, Chang-Min Lee, Gi-Seop Kim, Jae-Sang Park, Jun-Seong Lee

“…In this study, nonlinear postbuckling analyses are performed using ABAQUS to derive the buckling knockdown factors (KDFs) for hemispherical foam core sandwich shells under external pressure. …”
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Existence of periodic traveling wave solution to the forced generalized nearly concentric Korteweg-de Vries equation by Kenneth L. Jones, Xiaogui He, Yunkai Chen

“…An equivalent relationship between the ordinary differential equation and nonlinear integral equations with symmetric kernels is established by using the Green's function method. …”
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Flexural Behavior of UHPC Beams Reinforced with Macro-Steel Fibers and Different Ratios of Steel and GFRP Bars by Yousef Abbasi Parvin, Taleb Moradi Shaghaghi, Masoud Pourbaba, Seyed Saeed Mirrezaei, Yousef Zandi

“…Similar procedure was carried for beams reinforced with conventional rebars. Additionally, Nonlinear regression analyses were also carried out to simulate the flexural load-deflection behavior of the beams. …”
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Coupled Vibration Characteristics Analysis of Hot Rolling Mill with Structural Gap by Guangxu Zhang, Jiahan Bao, Wenhao Li, Zhichong Wang, Xiangshuai Meng

“…On this basis, based on the distribution of friction force in the deformation zone, the rolling force and rolling torque are nonlinearized. In addition, a rolling mill structure model is established by considering the structure gap and a piecewise nonlinear horizontal-vertical-torsional vibration model of the rolling mill is established by combining the structure model and dynamic rolling process model. …”
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Research on NOFRF Entropy-Based Detection Method for Early Damage of Pillar Porcelain Insulator by Hanling Mao, Weili Tang, Yingxiang Huang, Hanying Mao, Zhenfeng Huang, Xinxin Li

“…Small damage of it may even cause a disaster. Nonlinear output frequency response functions (NOFRFs) can well reflect the nonlinear characteristics of early damage in the system. …”
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Some novel exact solutions for the generalized time-space fractional coupled Hirota-Satsuma KdV equation by Yueling Cheng, Siyuan Hong, Shujun Yang, Xu Chi, Jinghao Yang

“…These solutions are of great significance for revealing the nonlinear interaction between two long waves with different dispersion effects. …”
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Application of LCD-SVD Technique and CRO-SVM Method to Fault Diagnosis for Roller Bearing by Songrong Luo, Junsheng Cheng, HungLinh Ao

“…Targeting the nonlinear and nonstationary characteristics of vibration signal from fault roller bearing and scarcity of fault samples, a novel method is presented and applied to roller bearing fault diagnosis in this paper. …”
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Numerical Study of Wave- and Current-Induced Oscillatory Seabed Response near a Fully Buried Subsea Pipeline by Lunliang Duan, Meiling Fan, Duoyin Wang, Caixia Meng, Lei Xing

“…Different from previous studies, both the wave-current interaction and the nonlinear pipeline-soil contacts are considered in the present model. …”
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Torsional Vibration of a Shafting System under Electrical Disturbances by Ling Xiang, Shixi Yang, Chunbiao Gan

“…Torsional vibration responses of a nonlinear shafting system are studied by a modified Riccati torsional transfer matrix combining with the Newmark-β method. …”
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Analysis of Vibroacoustic Modulations for Crack Detection: A Time-Frequency Approach Based on Zhao-Atlas-Marks Distribution by A. Trochidis, L. Hadjileontiadis, K. Zacharias

“…The vibro-acoustic modulation (VAM) technique is probably the most widely used nonlinear method for crack detection. The VAM method is based on the effect of modulation of high-frequency acoustic waves by a low-frequency vibration. …”
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Stability of a Noncanonical Scalar Field Model during Cosmological Date by Z. Ossoulian, T. Golanbari, H. Sheikhahmadi, Kh. Saaidi

“…A special solution of the nonlinear field equations of ϕ that has time dependency as fixed point is obtained. …”
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Application of Functional Variable Method for Heisenberg Ferromagnetic Spin Chain Equation by ALI TOZAR, Orkun Taşbozan, ALI KURT

“…In this study, triangular soliton, bell shaped solitary wave and kink shaped solitary wave solutions were obtained by applying the functional variable method to the nonlinear Heisenberg spin chain equation for a cubic lattice crystal.…”
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On the lumped damage modelling of reinforced concrete beams and arches by Thalyson Brito, Danilo Santos, Fabio Santos, Rafael Cunha, David Amorim

“…The lumped damage mechanic applies concepts of the classic fracture and damage mechanics in plastic hinges for nonlinear analysis of reinforced concrete structures. …”
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Modelling Moisture Sorption Isotherms of Superabsorbent Polymer Fabric for Desiccant Drying of Crops by Peter Kang’ethe Kimani, Ayub Njoroge Gitau, Duncan Onyango Mbuge, Januarius Ondiek Agullo

“…Using symbolic regression and nonlinear regression in R software, four mathematical models were obtained. …”
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Analytical Approximate Solutions of Caputo Fractional KdV-Burgers Equations Using Laplace Residual Power Series Technique by Aliaa Burqan, Mona Khandaqji, Zeyad Al-Zhour, Ahmad El-Ajou, Tasneem Alrahamneh

“…The main aim of this work is to present the analytical approximate series for the nonlinear Caputo fractional KdV-Burgers equation by applying the Laplace residual power series method. …”
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Self-adaptive physics-informed quantum machine learning for solving differential equations by Abhishek Setty, Rasul Abdusalamov, Felix Motzoi

“…Chebyshev polynomials have shown significant promise as an efficient tool for both classical and quantum neural networks to solve linear and nonlinear differential equations (DEs). In this work, we adapt and generalize this framework in a quantum machine learning setting for a variety of problems, including the 2D Poisson’s equation, second-order linear DE, system of DEs, nonlinear Duffing and Riccati equation. …”
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Numerical and Experimental Study of Friction Damping Blade Attachments of Rotating Bladed Disks by D. Charleux, C. Gibert, F. Thouverez, J. Dupeux

“…An efficient multiharmonic balance method is proposed in order to compute the forced response of bladed disks with contact and friction nonlinearities in blade roots. For experimental validation purposes, a rotating bladed disk was tested in a vacuum chamber, with excitation being provided by piezoelectric actuators. …”
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