Abstract
The article explores the passive method for damping wind auto-oscillations of an aboveground gas pipeline. The method consists in installing a vibration damping device in one of the spans, which operates on the principle of one-way connection. This characterizes the system as structurally non-linear. Integration of the differential equation of motion of a finite-dimensional dissipative system is based on the developed algorithm, which is associated with the analysis of the matrix quadratic characteristic equation. This allowed to obtain an analytical form of the dynamic reaction of a dissipative system in the matrix form of the Duhamel integral, which does not require the spectral expansion of the solution. Internal friction of the material is considered using a non-proportional damping model. The efficiency of devices with one one-way connection (OWC) in the span (DDM-1) and with two OWC (DDM-2) is compared on different values of the cable compliance. The estimation of the accuracy of solving the differential equation of motion by constructing the residual vector is carried out.
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Potapov, A.N., Tazeev, N.T. (2022). Vibrations of a Constructively Nonlinear System with One-Way Connections. In: Radionov, A.A., Ulrikh, D.V., Timofeeva, S.S., Alekhin, V.N., Gasiyarov, V.R. (eds) Proceedings of the 5th International Conference on Construction, Architecture and Technosphere Safety. Lecture Notes in Civil Engineering, vol 168. Springer, Cham. https://doi.org/10.1007/978-3-030-91145-4_3
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