Abstract
This paper presents a detailed study of the dynamics of the two-piston vibro-impact mechanism with a crank vibration exciter. The mechanism has quite a wide range of applications: It is effective for vibro-impact compaction of various types of soil, sand and concrete in strained industrial conditions; for breaking the ice and other harder objects; driving piles and structures, etc. The presented mathematical model (MM) is a substantially nonlinear dynamic system with a variable structure. An original method for numerical–analytical study of dynamic characteristics, such as periodic motion modes with alternating impact interaction of pistons, as well as complex motion modes with an arbitrary number of impacts, including chaotic ones, has been elaborated on the basis of the point mapping method. Thus, it was possible to obtain for the first time the engineering formulas for tuning the mechanism into required mode of operation, at the stage of preliminary MM dynamic analysis, using a special coordinate transformation and the geometry of the Poincaré surface of section. The obtained engineering formulas allow us to indicate the regions of various qualitative behavior of the mechanism in the parameter space. The bifurcation diagrams make it possible to determine the influence of the main parameters on the processes of reorganization of motion modes, starting from the simplest to the most complex modes, including chaotic ones. The obtained results and proposed numerical–analytical approaches for investigating the dynamic characteristics of crank-type vibro-impact mechanisms enable practitioners to use them for tuning and analyzing the operational regimes of specific mechanisms.
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This work was supported by a grant of the Russian Science Foundation (16-19-10237-P).
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Igumnov, L., Metrikin, S.V., Nikiforova, V.I., Fevral’skikh, L.N. (2021). The Dynamics of Eccentric Vibration Mechanism (Part 2). In: dell'Isola, F., Igumnov, L. (eds) Dynamics, Strength of Materials and Durability in Multiscale Mechanics. Advanced Structured Materials, vol 137. Springer, Cham. https://doi.org/10.1007/978-3-030-53755-5_12
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