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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Simulation of the Collapse Mechanism of a Minaret under the Effect of Strong Wind by Taha Yasin Altıok, Ali Demir

“…Besides, many mesh elements in the minaret’s transition segment were damaged with tension stresses in nonlinear finite element analyses. Finally, the minaret’s failure behaviour was successfully simulated with the used methods.…”
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Dynamic Characteristics of Metro Trains under Rescue Conditions by Ruiming Zou, Shihui Luo, Weihua Ma, Qing Wu

“…In order to study the dynamic characteristics of metro train under rescue conditions, a detailed dynamic model with different train formations is established, taking into account the characteristics of wheel-rail contact, nonlinear characteristics of suspension components, and nonlinear hysteresis characteristics of the draft gear systems. …”
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Dynamic Processes, Fixed Points, Endpoints, Asymmetric Structures, and Investigations Related to Caristi, Nadler, and Banach in Uniform Spaces by Kazimierz Włodarczyk, Robert Plebaniak

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An Efficient Collocation Method for a Class of Boundary Value Problems Arising in Mathematical Physics and Geometry by A. H. Bhrawy, A. S. Alofi, R. A. Van Gorder

“…We present a numerical method for a class of boundary value problems on the unit interval which feature a type of power-law nonlinearity. In order to numerically solve this type of nonlinear boundary value problems, we construct a kind of spectral collocation 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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A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems by Brahim Benhammouda

“…To demonstrate the efficiency of the MSPSM and show its applicability, an index-3 nonlinear DAE problem describing a two-link planar robot arm is solved. …”
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Magnetoelastic Principal Parametric Resonance of a Rotating Electroconductive Circular Plate by Zhe Li, Yu-da Hu, Jing Li

“…Nonlinear principal parametric resonance and stability are investigated for rotating circular plate subjected to parametric excitation resulting from the time-varying speed in the magnetic field. …”
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Automotive Occupant Dynamics Optimization by J.A. Bennett, G.J. Park

“…One of the more difficult optimal design tasks occurs when the data describing the system to be optimized is either highly nonlinear or noisy or both. This situation arises when trying to design restraint systems for automotive crashworthiness using the traditional lumped parameter analysis methods. …”
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Analysis of Metallic Nanoparticles (Cu, Al2O3, and SWCNTs) on Magnetohydrodynamics Water-Based Nanofluid through a Porous Medium by P. K. Pattnaik, S. K. Parida, S. R. Mishra, M. Ali Abbas, M. M. Bhatti

“…To formulate the mathematical modelling, similarity transformations were used, and nonlinear differential equations were obtained. To solve the formulated nonlinear differential equations, the Runge–Kutta fourth-order numerical scheme is used in conjunction with the shooting technique. …”
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Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay by Ying Liu, Fei Chen, Bin Yang, Xin Wang, Weiming Wang

“…Second, it derives two kinds of finite-time estimation approaches by analyzing the impact of the nonlinearity of nonlinear coupled function on synchronization dynamics and synchronization convergence time. …”
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Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations by Huitzilin Yépez-Martínez, Ivan O. Sosa, Juan M. Reyes

“…The fractional derivatives in the sense of the modified Riemann-Liouville derivative and Feng’s first integral method are employed to obtain the exact solutions of the nonlinear space-time fractional ZKBBM equation and the nonlinear space-time fractional generalized Fisher equation. …”
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Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation by Jagdev Singh, Arpita Gupta, Dumitru Baleanu

“…In this research paper, we study a semi analytical technique to solve the nonlinear partial differential equations. This technique is good combination of homotopy analysis method with Kharrat-Toma transform. …”
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SQLite Encryption Method for Embedded Databases Based on Chaos Algorithm by Junlong Shi

“…With the widespread use of embedded systems, chaos is a nonlinear system with certainty and complexity. It is an important topic in the field of information security at present, and it is an effective way to apply to embedded systems. …”
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Existence and Uniqueness Results for a Class of Singular Fractional Boundary Value Problems with the p-Laplacian Operator via the Upper and Lower Solutions Approach by KumSong Jong, HuiChol Choi, KyongJun Jang, SunAe Pak

“…In this paper, we study the existence and uniqueness of positive solutions to a class of multipoint boundary value problems for singular fractional differential equations with the p-Laplacian operator. Here, the nonlinear source term f permits singularity with respect to its time variable t. …”
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Plasma Evolutions Around a Solar Coronal 3D Magnetic Null Point by Somaiyeh Sabri, Hossein Ebadi

“…It is investigated how the plasma evaluates due to the propagation of the nonlinear Alfven wave. Magnetic null points that are detected in the solar corona have 3D structures which are prevalent in the solar atmosphere. …”
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Global Synchronization of Neutral-Type Stochastic Delayed Complex Networks by Ya Zhang, Bo Song, Ju H. Park, Zheng-Guang Wu

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Heralded interconversion between hyperentangled W state and hyperentangled KLM state assisted by nitrogen vacancy centers coupled with microresonators by Fang-Fang Du, Ming Ma, Qiu-lin Tan

“…The fidelities of these conversion processes are robust and their efficiencies are also high due to fewer nonlinear interactions and errors heralded by the response of detectors, which intensify comprehending the properties of hyperentanglement.…”
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The Effects of Breathing Behaviour on Crack Growth of a Vibrating Beam by Wenguang Liu, Mark E. Barkey

“…Results indicate that not only does the stiffness oscillates during crack growth corresponding to the physically open and closed states of the crack, but also stiffness and friction damping oscillate nonlinearly with crack growth. This behaviour induces not only nonlinear dynamic response but also nonlinear crack growth. …”
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A structured model for the spread of Mycobacterium marinum: Foundations for a numerical approximation scheme by Azmy S. Ackleh, Mark L. Delcambre, Karyn L. Sutton, Don G. Ennis

“…The model consists of a system of nonlinear hyperbolic partial differential equations coupled with three nonlinear ordinary differential equations. …”
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