Results 1 to 10 of about 436 (168)
Well-posed Dirichlet problems pertaining to the Duffing equation [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper we investigate existence and continuous dependence on functional parameter of Duffing's type equation with Dirichlet boundary value conditions.
Piotr Kowalski
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Ninety years of Duffing’s equation [PDF]
Theoretical and Applied Mechanics, 2013 In the paper the origin of the so named ‘Duffing’s equation’ is shown. The author’s generalization of the equation, her published papers dealing with Duffing’s equation and some of the solution methods are presented.
Cvetićanin Livija
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A New Efficient High Order Four-Step Multiderivative Method for the Numerical Solution of Second-Order IVPs with Oscillating Solutions [PDF]
Mathematics Interdisciplinary Research, 2020 In this paper, we present a new high order explicit four-step method of eighth algebraic order for solving second-order linear periodic and oscillatory initial value problems of ordinary differential equations such as undamped Duffing's equation ...
Ali Shokri +1 more
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Averaging Methods for Second-Order Differential Equations and Their Application for Impact Systems
Mathematics, 2020 In this paper, we discuss the averaging method for periodic systems of second order and the behavior of solutions that intersect a hyperplane. We prove an averaging theorem for impact systems.
Michal Fečkan, Július Pačuta
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Dirichlet boundary value problem for Duffing's equation
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We use direct variational method in order to investigate the dependence on parameter for the solution for a Duffing type equation with Dirichlet boundary value conditions.
Piotr Kowalski
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Nonlinearity and hysteresis of resonant strain gauges [PDF]
, 1995 Nonlinearity and hysteresis effects of electrostatically activated, voltage driven resonant microbridges have been studied theoretically and experimentally.
Elwenspoek, Michael Curt +5 more
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TO THEORY OF NON-LINEAR OSCILLATIONS OF BEAMS WITH ONE FREE RATE
Наука и техника, 2007 A conclusion has been made that non-linear dynamics problems can be reduced to solution of Duffing’s equation and the paper contains its theoretical investigations.
S. V. Bosakov, N. S. Schetjko
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Nonlinear Dynamic Analysis of the Cutting Process of a Nonextensible Composite Boring Bar
Shock and Vibration, 2020 A nonlinear dynamic analysis of the cutting process of a nonextensible composite cutting bar is presented. The cutting bar is simplified as a cantilever with plane bending.
Bole Ma, Yongsheng Ren
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Journal of Differential Equations, 1993 The authors study the equation (1) \(z''+a^ 2g_ 0(z)=f(t)\), with \(f\) \(T\)-periodic, under the assumption that the equation \(z''+g_ 0(z)=0\) has either (i) an orbit homoclinic to a saddle point, or (ii) a heteroclinic orbit joining saddle points. In the homoclinic (resp. heteroclinic) case, they prove that if \(f'(t)\) (resp. \(f(t))\) has a simple
Battelli, F., Palmer, K.J.
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A novel approach for nonlinearity detection in vibrating systems [PDF]
, 2008 This paper proposes a novel approach for nonlinearity detection in vibrating systems. The approach is developed based on a new concept recently proposed by the author known as nonlinear output frequency response functions (NOFRFs) and the properties of ...
Lang, Z.Q., Peng, Z.K.
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