Constructive damping in the conical holder with an elastic filler
Journal Title: Вісник Тернопільського національного технічного університету - Year 2015, Vol 79, Issue 3
Abstract
Operation of all machines and mechanisms is directly related to arising of vibrations. In the majority of cases vibrations worsen durability, reliability and longevity of industrial machines, mechanisms and buildings; they also have a harmful influence on the health of operating staff. Y. S. Pidstrygach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine has developed promissing constructions of vibroinsulators, which form the basis for the new class of vibroprotective devices - shell elements with elastic filler. They combine high bearing strength with comparatively low inflexibility and the necessary level of damping, sufficient for the quality extinguishing of vibrations. The main characteristic of such constructions is the application of the thin-walled elements (shells, plates, bars) as a basic bearing and executive details. According to their construction they are deformable shell systems with dry friction. During mechanical and mathematical modelling of elastic elements under the loading (generally speaking, unmonotonous one) there arises a class of constructive nonlinear nonconservative mixed contact problems on the friction contact of shells with an elastic filler. Currently there are the theoretical bases of constructions calculation, the bearing details in which are cylinder shells were developed. The problem of the influence of the surface form of a shell on deformation and damping properties of shell shock absorbers is not fully researched. The offered work is the next step in this direction. The authors have studied a mixed contact problem on the friction interaction of absolutely hard conical holder with an elastic filler under the unmonotonous loading. A holder is considered as a hard one, because the inflexibility of a filler in the system is substantially less than the inflexibility of a bearing shell. The process of the unmonotonous loading of the system during the allegedly static formulation is broken up into phases with monotonous loading. The problem solutions at each stage of loading are obtained based on the asymptotic method of a small parameter. Expressions for tensions and axial movements of a filler are written and the diagrams of deformation (loops of the construction damping) of the systems with different inclinations of the cone formative are built. The expedience of constructing of shell dampers with the orientation of narrowing of the conical surface contact narrowing toward the piston is proved.
Authors and Affiliations
Ihor Popadyuk, Ivan Shatskyi, Vasyl Shopa
Keywords
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