Nonlinear Dynamic Phenomena in Mechanics

doi:10.1007/978-94-007-2473-0

Cited by 11 publications

(2 citation statements)

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“…caused by external mechanical effects and the fluctuations of pressure and fluid flow within the pipeline [1][2][3]. The external influences can cause depressurization pipeline connections, the appearance of fatigue, local cracks, especially when transporting chemically active fluid [11].…”

Section: E P Kolpak and S E Ivanovmentioning

confidence: 99%

Mathematical and computer modeling vibration protection system with damper

Kolpak¹,

Ivanov²

2015

ams

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The mathematical model of the mechanical system, which is a section of the pipeline with built-in motor pump system and damper for vibration damping, has been developed. The mathematical model is represented by a system of partial differential equations of hydrodynamics for moving fluid in the pipeline and a system of two ordinary differential equations for the damping device. Solution the system of equations is performed using analytical and numerical methods. The numerical solution of the equations of hydrodynamics carried out using the finite element method, implemented in the programming environment of mathematical package freeFEM ++.

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Section: E P Kolpak and S E Ivanovmentioning

confidence: 99%

Mathematical and computer modeling vibration protection system with damper

Kolpak¹,

Ivanov²

2015

ams

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“…Depending on the type of drilling, length and diameter of the trunk, the drilling rig consists of the following components: rig, control cabin, the working platform, the platform base, drilling winch, hoist, rotary mechanism, internal combustion engines, generating sets, electric motors, pump compressor, tank, piping, control system rigs, control and measuring system. In the study of the dynamics of vibration isolation systems we need to use non-linear mathematical models [1][2][3][4][5]. Their study is a more complex problem than the study of linear systems.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modeling of the system of drilling rig

Kolpak¹,

Ivanov²

2015

ces

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A nonlinear mathematical model of the system of drilling rig, consisting of the rig, the control cabin, the working platform and platforms with engines has been developed. The mathematical model of the rig with six degrees of freedom is represented by a system of nonlinear ordinary differential equations. The methodology for calculation the basic characteristics of oscillation using the method of polynomial transformations was developed. The formulas for the calculation by the method of polynomial transformations were obtained.

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