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Applied Mathematics and Computation, 1996
This note is concerned with the approximate solution of initial value problems for nonlinear second-order equations of type: \(u''+ \alpha g(u, u')+ \beta h(u)= f(t)\). In physical terms, these equations arise in nonlinear oscillations where \(g\) and \(h\) represent the damping and the restoring forces and \(f\) the external force. The author proposes
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This note is concerned with the approximate solution of initial value problems for nonlinear second-order equations of type: \(u''+ \alpha g(u, u')+ \beta h(u)= f(t)\). In physical terms, these equations arise in nonlinear oscillations where \(g\) and \(h\) represent the damping and the restoring forces and \(f\) the external force. The author proposes
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Accurate Approximations for Nonlinear Vibrations
2019As global issues such as climate change and overpopulation continue to grow, the role of the engineer is forced to adapt. The general population now places an emphasis not only on the performance of a mechanical system, but also the efficiency with which this can be achieved.
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Control of Nonlinear Vibrations
2014In this chapter, methods which can be used to control nonlinear structural vibrations are discussed. Introductory examples showing the control of linear and nonlinear single-degree-of-freedom oscillators have already been discussed in Sect. 1.4 of Chap. 1. This chapter extends the ideas presented in these introductory examples to a range of controllers,
David Wagg, Simon Neild
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2014
Nonlinear systems have a range of behaviour not seen in linear vibrating systems. In this chapter the phenomena associated with nonlinear vibrating systems are described in detail. In the absence of exact solutions, the analysis of nonlinear systems is usually undertaken using approximate analysis, numerical simulations and geometrical techniques. This
David Wagg, Simon Neild
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Nonlinear systems have a range of behaviour not seen in linear vibrating systems. In this chapter the phenomena associated with nonlinear vibrating systems are described in detail. In the absence of exact solutions, the analysis of nonlinear systems is usually undertaken using approximate analysis, numerical simulations and geometrical techniques. This
David Wagg, Simon Neild
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Nonlinear energy sink with limited vibration amplitude
Mechanical Systems and Signal Processing, 2021Hu Ding, Xiao-Ye Mao, Li-Qun Chen
exaly
An integrated nonlinear passive vibration control system and its vibration reduction properties
Journal of Sound and Vibration, 2021Fengming Li, Xingjian Jing
exaly