A Single and Double Mode Approach to Chaotic Vibrations of a Cylindrical Shell with Large Deflection
Shock and Vibration, 2004 The chaotic vibrations of a cylindrical shell of large deflection subjected to two-dimensional exertions are studied in the present research. The dynamic nonlinear governing equations of the cylindrical shell are derived on the basis of single and double
Liming Dai, Qiang Han, Mingzhe Dong
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Melnikov potential for exact symplectic maps [PDF]
, 1997 The splitting of separatrices of hyperbolic fixed points for exact symplectic maps of $n$ degrees of freedom is considered. The non-degenerate critical points of a real-valued function (called the Melnikov potential) are associated to transverse ...
Delshams Valdés, Amadeu +3 more
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Bifurcation of Periodic Solutions and Numerical Simulation for the Viscoelastic Belt
Advances in Mechanical Engineering, 2014 We study the bifurcation of periodic solutions for viscoelastic belt with integral constitutive law in 1: 1 internal resonance. At the beginning, by applying the nonsingular linear transformation, the system is transformed into another system whose ...
Jing Li, Tingting Quan, Bin He
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Bifurcation characteristics and safe basin of MSMA microgripper subjected to stochastic excitation
AIP Advances, 2015 A kind of magnetic shape memory alloy (MSMA) microgripper is proposed in this paper, and its nonlinear dynamic characteristics are studied when the stochastic perturbation is considered.
Z. W. Zhu, X. M. Li, J. Xu
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Bifurcation and chaos for piecewise nonlinear roll system of rolling mill
Advances in Mechanical Engineering, 2017 A non-smooth cold roll system of rolling mill is studied to reveal the bifurcation of the piecewise-smooth and discontinuous system. To examine the influence of the parameters on the dynamics, the bifurcation diagram is constructed when it is unperturbed.
Chundi Si +3 more
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A Melnikov function for the break-up of closed streamlines in steady Navier-Stokes flows
, 2002 A Melnikov approach is proposed to study the existence/nonexistence of closed streamlines and asymptotic orbits in solutions of the steady Navier-Stokes equations.
King, G.P. +2 more
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Investigation on nonlinear rolling dynamics of amphibious vehicle under wind and wave load
Journal of Measurement Science and Instrumentation, 2015 Nonlinear amphibious vehicle rolling under regular waves and wind load is analyzed by a single degree of freedom system.Considering nonlinear damping and restoring moments,a nonlinear rolling dynamical equation of amphibious vehicle is established.The ...
MA Xin-mou, CHANG Lie-zhen
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A Melnikov function for the break-up of closed streamlines in steady Navier-Stokes flows
A Melnikov approach is proposed to study the existence/nonexistence of closed streamlines and asymptotic orbits in solutions of the steady Navier-Stokes equations.
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European Physical Journal C: Particles and FieldsIn this letter, we investigate behaviour of massive and massless scalar field that is represented by the covariant Klein–Gordon equation with Bocharova–Bronnikov–Melnikov–Bekenstein (BBMB) black hole background.
David Senjaya
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A Note on the Dynamics of Modified rf-SQUIDs: Simulations and Possible Control over Oscillations
MathematicsThe so-call SQUIDs (abbreviated from superconducting quantum interference device) are very sensitive apparatuses especially built for metering very low magnetic fields.
Nikolay Kyurkchiev +3 more
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