Abstract
This paper studies the dynamics of the vibro-impact capsule systems with one-sided and two-sided soft constraints under variations of various system and control parameters, including mass ratio, stiffness ratio, gap of contact, and amplitude and frequency of external excitation. The aim of this study is to optimise the progression speed and energy consumption of the capsule and minimise the required cabin length for prototype design used for engineering pipeline inspection. Our studies focus on three systems: the capsule with a right constraint, the capsule with a right and a weak left constraints, and the capsule with a right and a strong left constraints. Bifurcation analyses show that the behaviour of the capsule with one-sided constraint is mainly periodic, and the dynamic responses of the other two capsules with two-sided constraints become complex when the stiffness of the left constraint increases. Based on our extensive comparisons, the following optimisation strategies are recommended. When the capsule speed is paramount, one can employ the two-sided capsule with a weak left constraint under large amplitude of excitation. When energy consumption is taken into account, the one-sided capsule is preferable. When a miniaturized prototype is needed, the two-sided capsule with a strong left constraint is the best choice.
Highlights
Pipelines play an important role in a large number of modern industries [1,2], transporting fluids from one location to another, whether from one side of a factory to the other or across the breadth of entire continents
This paper studies the optimisation of the vibroimpact capsule systems [8,9,10] with one-sided and twosided amplitude constraints for engineering pipeline inspection in terms of its average speed of progression, physical dimension, and energy consumption
This paper will further study the optimisation of the vibro-impact capsule system regarding to its physical dimension and energy consumption through bifurcation analysis
Summary
Pipelines play an important role in a large number of modern industries [1,2], transporting fluids from one location to another, whether from one side of a factory to the other or across the breadth of entire continents. This paper studies the optimisation of the vibroimpact capsule systems [8,9,10] with one-sided and twosided amplitude constraints for engineering pipeline inspection in terms of its average speed of progression, physical dimension, and energy consumption. In [6,11], optimisation of a mobile system with an internal acceleration-controlled mass was considered to obtain the maximum forward mean speed. This paper will further study the optimisation of the vibro-impact capsule system regarding to its physical dimension and energy consumption through bifurcation analysis. The dynamics of the vibro-impact capsule system, which consists of a capsule main body interacting with a harmonically driven internal mass, has been studied extensively by Liu et al [8,9,10,17,18,19,20].
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