Effect of beam-column joints flexibility on the seismic response of setback RC buildings designed according to the Algerian seismic code by Abdallah Yacine Rahmani, Said Hicham Boukhalkhal�, Mohamed Badaoui

“…Three multi-storey RC frames with different setback geometry, including a reference frame, are studied considering the connections as rigid/deformable. The nonlinear static procedure or pushover analysis is used to perform a nonlinear analysis of the studied structures and the results in terms of capacity curve, target displacement, storey drift, storey stiffness and the response reduction factor are presented. …”
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Design and Optimization of Trapezoidal Steering Mechanism based on Improved Particle Swarm Algorithm by Jianhua Zhai, Laiqi Qiu, Xiaohua Wei, Dongshan Yang

“…The method of solving the optimization model of nonlinear steering mechanism is given， the M-file of Matlab R2018b with improved particle swarm algorithm and solving the nonlinear model is written to analyze the optimization of steering mechanism. …”
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Unveiling uncertain forces in second-order driven oscillators via internal model: A discrete-time feedback by R. Femat, C. Jiménez-gallegos

“…In principle, if the internal model tracks the trajectory of the nonlinear system, then the uncertain force is recovered by the stabilizing command.…”
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On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative by Mehmet Merdan

“…Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. …”
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A Toeplitz Jacobian Matrix/Fast Fourier Transformation Method for Steady-State Analysis of Discontinuous Oscillators by T. Ge, A. Y. T. Leung

“…Oscillators with piecewise nonlinear characteristics are taken as illustrative examples. …”
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Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models by Ping Guo, Changhua Wei, Wenjun Xiong, Chunlan Zhao

“…With a simple transformation, the enhanced oil recovery model is first affirmed to be neither genuinely nonlinear nor linearly degenerate. It is then shown that the enhanced oil recovery system with nonlinear boundary conditions is exactly boundary controllable by applying a constructed method. …”
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Analysis of the Electromechanical Coupling Vibration of Belt Drive Mechanism when the Motor Starting by Li Gaofeng

“…Taking the differential equation of the electromechanical coupling and bending and torsion nonlinear vibration of the belt drive mechanism which establishing according to the Lagrange- Maxwell equation as research object,by using the Runge Kutta method,the nonlinear characteristic of the electromechanical coupling system and the vibration characteristic in the state of the motor starting are analyzed,the phase diagram,time response,frequency spectrum and the axis trajectory are obtained. …”
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Optimal Tooth Surface Correction of Internal Helical Gear and Mesh Simulation by Su Jianxin, Deng Xiaozhong, Ren Xiaozhong, Wei Bingyang, Xu Zengjun

“…The transmission coordinate system is built to deduce the tooth surface equation,the nonlinear meshing equation is built based on meshing theory. …”
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Some Modern Problems in Structural Engineering Dynamics by I. Elishakoff, D. Pentaras

“…One problem is linear, the other is nonlinear. Authors have a biased preferential view on these problems because of their active involvement in the discussed research topics. …”
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Efficient Algorithm for Isotropic and Anisotropic Total Variation Deblurring and Denoising by Yuying Shi, Qianshun Chang

“…The algorithm consists of an efficient solver for the nonlinear system and an acceleration strategy for the outer iteration. …”
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Best Proximity Point for the Sum of Two Non-Self-Operators by V. Pragadeeswarar, R. Gopi, M. De la Sen

“…Moreover, we provide the existence of the best proximity point for the cyclic contraction through the notion of the nonlinear D-set contraction. Finally, we give the existence of the best proximity point for the sum of the nonlinear D-set contraction mapping and partially completely continuous mapping in the setting of the partially ordered complete normed linear space.…”
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Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems by Nuo Jia, Tao Wang

“…A class of new hyperchaotic systems with different nonlinear terms is proposed, and the existence of hyperchaos is exhibited by calculating their Lyapunov exponent spectrums. …”
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Existence and blow up of solutions of a viscoelastic <mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo class="MathClass-open">(</mml:mo><mml:mi>x</mml:mi><mml:mo class... by Gülistan Butakın, Erhan Pişkin

“…In this paper, we are concerned with a logarithmic nonlinear viscoelastic m(x)…”
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Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations by Shaobo Zhou

“…A highly nonlinear example is provided to illustrate the main theory.…”
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Statistical and Dynamical Decoupling of the IGM from Dark Matter by Li-Zhi Fang, Weishan Zhu

“…The dynamical reason of the decoupling is the difference of the nonlinear evolution of baryon fluid from that of collisionless dark matter. …”
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Numerical Analysis on Chaotic Vibration of Drive System for a Movable Tooth Piezoelectric Motor by Chong Li, Jichun Xing, Jiwen Fang, Zhong Zhao

“…The nonlinear dynamic equations of the drive system for movable tooth piezoelectric motor are established. …”
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Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms by Naveed Iqbal, Humaira Yasmin, Ali Rezaiguia, Jeevan Kafle, A. Othman Almatroud, Taher S. Hassan

“…This technique is a mixture of the novel integral transformation Elzaki transformation and the new iteration technique. The nonlinear term can be handled easily by a new iteration technique. …”
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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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RESEARCH ON DYNAMIC PERFORMANCE OF GEAR SYSTEM BASED ON ORTHOGONAL DESIGN AND GENETIC ALGORITHM by WU ZhengWei, WU XunCheng, ZHANG JueCheng

“…Dynamic performance of gear system especially vibration was a typical nonlinear problem,while the vibration was closely related to the gear profile modification,the solving gear profile modification parameters was a nonlinear optimization problem. …”
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The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation by Nehad Ali Shah, Mounirah Areshi, Jae Dong Chung, Kamsing Nonlaopon

“…Precisely, we provide the details of implementing the suggested technique to investigate the fractional-order nonlinear models. Second, we test the efficiency and the validity of the technique on the fractional-order Navier-Stokes models. …”
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