Modelling of a vibro-impact capsule system

Abstract

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Experimental verification of the vibro-impact capsule model

“…In [2], the dynamic analysis of the capsule system in various friction environments was performed, while in [3] forward and backward motion control of the system was investigated using a position feedback controller. This paper provides an experimental verification of the vibroimpact capsule model proposed in [1]. Comparisons between the experiments and numerical simulations show good agreement.…”

“…The considered system operates in bidirectional stickslip phases which contain the following four modes: stationary capsule without contact, moving capsule without contact, stationary capsule with contact, moving capsule with contact. A detailed consideration of these modes can be found in [1]. The comprehensive equations of motion for the vibro-impact capsule system are written aṡ…”

“…For example, varying the frequency of external excitation in the range of ω ∈ (0, 0.4) allows to validate the results presented in [3] but also to demonstrate some new finding. Also, an ideal secondary linear spring assumption used in previous studies in [1][2][3] is discussed in this paper and the implications for the presented experimental set up are revealed.…”

“…[4]). On the other hand, when the force is applied to the inner mass, the interaction between the capsule and the inner mass needs to be described, and Liu et al [1][2][3] used intrinsic stiffness and damping of the internal connection to consider overall dynamics of the capsule under applied harmonic force. In order to verify this modelling approach, a novel experimental rig was designed and manufactured, and an experimental study of the vibro-impact capsule system is presented in this paper.…”

“…However, the detailed study of dynamics of the capsule for such an application has not been undertaken, though it would be essential for design and prototyping. Liu et al [1] studied the dynamics of a vibroimpact capsule system and it has been found that the best progression could be determined through bifurcation analysis and ensured by a careful choice of the system parameters, e.g. the stiffness ratio, and the frequency and the amplitude of the excitation.…”