Structures of dynamic and mathematical models of self-propelled jib cranes under different external disturbances for compiling computerized programs

Autors
Chervonoshtan А. L., Кolisnyk M. P., Shevchenko A. F.
Issue
Hoisting and transport equipment, 2022, №1(67)
Pages
63-77
DOI
10.15276/pidtt.1.67.2022.06
Abstract
In this article the structures of dynamic and mathematical models describing the oscillating process of jib self-propelled cranes (JSC) are considered with flexible boom suspension and different masses, taking into account the various sources of excitation of the system fluctuations from the impact of vibration processing equipment on the hook and the operation of the lifting mechanism, or their joint action, which can happen when performing construction and installation, finishing and ordering works, when performing zero-cycle works, preparatory work for the construction of pits and the supply of various structural elements and materials of facilities under construction or to be rehabilitated and reconstructed after accidental destruction. The analysis of literary sources is presented in which the JCS were considered as mechanical systems consisting, for example, of: 2 masses, 3 masses, 7 masses. The review and analysis of the publications showed that the reliability of the research results significantly depends on the degree of detail of the calculation scheme of the object and the accounting equipment, because it allows us to determine the oscillations of a significant number of systems masses and their influence. The purpose of the work is to substantiate the structure of systems of dynamic and mathematical models that describe the oscillating process of JCS with a flexible boom suspension, taking into account the various sources of excitation of oscillations: from the impact of vibration technological equipment on the hook and the operation of the lifting mechanism, or their joint action, and the development of computer software and analysis of the dynamics of changes in the system indicators. The main material of the research includes the construction of the structures of calculated dynamic and mathematical models describing the oscillating process of the JCS with a flexible boom suspension in the absence of excitations and various external ones, which can be solved and investigated. The mathematical model of motion of 11 mass dynamic JCS model with a flexible boom suspension is presented for subsequent compilation of computer programs for determination of numerical values of the parameters, namely: natural frequencies and amplitude-frequency characteristics, displacements and accelerations of masses, forces in elastic connections at excitations on crane hook.
Keywords
dynamic model, mathematical model, mass, load capacity, vibration equipment, self-propelled jib crane, boom.
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