Hard duffing-type vibration isolator with combined Coulomb and viscous damping
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Cited by (54)
Frictional phenomena within a quasi zero stiffness vibration device
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2023, Mechanical Systems and Signal ProcessingLever-type high-static-low-dynamic-stiffness vibration isolator with electromagnetic shunt damping
2022, International Journal of Non-Linear MechanicsA combined dynamic analysis method for geometrically nonlinear vibration isolators with elastic rings
2016, Mechanical Systems and Signal ProcessingCitation Excerpt :The HBM has been extensively applied and promoted by many researchers [14–19]. Ravindra and Mallik [14,15] used the HBM to investigate theoretically a hard Duffing-type isolator under both harmonic base and force excitations. The linear stability analysis and the effects of viscous and coulomb damping were presented.
Inverse solution technique of steady-state responses for local nonlinear structures
2016, Mechanical Systems and Signal ProcessingCitation Excerpt :Some dynamic behaviors in the frequency domain, such as limit points with “snap-through” or “snap-back”, can be found in the frequency range of interest. Nevertheless, for discontinuous frequency responses including breaks in the resonance curves, such as the behavior of anomalous jumps in softening Duffing oscillator [9] and even in hardening Duffing oscillator with combined coulomb and viscous damping [10], or closed detached resonance curves inside or outside the main resonance curve of a 2-DOF system [11–19], these path following techniques can get the solutions that are connected to initial values but have difficulty in obtaining the discontinuous solutions in other branches of the response. If a system has only a few DOFs, an analytical or closed form amplitude–frequency solution can be written out as shown by 1-DOF system in Refs. [9,10], and 2-DOF system in Refs. [11–19], and hence such anomalous jumps or detached resonance curves can be obtained.
On some performance characteristics of base excited vibration isolation systems with a purely nonlinear restoring force
2014, International Journal of Non-Linear MechanicsCitation Excerpt :It was also concluded that an increase of the damping power results in a reduction of the jump width. Ravindra and Mallik [7] also used the first-order harmonic balance method to analyse the displacement and force transmissibility in a base and force excited vibration isolation system with a pure cubic restoring force first with Coulomb damping only. An anomalous jump was found in the transmissibility curve corresponding to the base excited system.
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To whom correspondence should be addressed. Department of Mechanical Engineering, Indian Institute of Technology, Kanpur, India 208016.