Gengxiang Wang , Wanxun Jia , Zepeng Niu , Yongjun Pan , Fuan Cheng
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Optimal damping factors explored for eliminating nonphysical attraction forces from viscous contact models used in cohesionless granular system
Since the nonphysical attraction force near the end of the recovery phase seriously distorts the impact behavior in the granular system, this investigation aims to develop three strategies to eliminate the nonphysical attraction force to improve the deficiency of the viscous contact force models. The optimization principle for removing the nonphysical attraction force of the viscous damping factor is confirmed according to the characteristics of the viscous damping force. The first approach, dividing the impact process into three phases, is developed according to the relationship between hysteresis damping and viscous damping. The second method, separating the impact process into two phases, is proposed using the feature of viscous damping. The last approach treats the impact behavior as a complete process to formulate a unique viscous contact force model without nonphysical attraction force. All three optimized strategies effectively eliminate nonphysical forces and capture post-impact behavior.
期刊介绍:
The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity.
The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged.
Topics of interest:
Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity.
No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.