DEVELOPMENT OF AN ANALYTICAL MODEL FOR CALCULATING AND OPTIMIZING VIBROACOUSTIC LOADING OF TECHNOLOGICAL EQUIPMENT PIPELINES
Journal Title: Комп’ютерне моделювання: аналіз, управління, оптимізація - Year 2019, Vol 1, Issue 1
Abstract
The article is devoted to the development of analytical model for calculation and optimization of vibroacoustic load of pipelines of technological apparatuses. A deviation of pipeline geometry from the ideal one and the heterogeneity of material affect the vibroacoustic load of a technological apparatus. Numerous existing algorithms for calculating frequencies and forms of fluctuations in technological pipelines used to estimate the fundamental frequency of a vibrational system do not take into account dynamic characteristics. An accuracy of an oscillation frequency of determining the vibration acoustic load depends on the choice of the form of oscillation, which is sometimes difficult to predict in advance. Practical tasks require performing design work with a required accuracy. The lack of an accurate method for calculating frequencies and forms of fluctuations in pipelines, which would take into account a type of fastening and a location of resistance, forces designers to adapt existing approaches and models of calculations to specific measuring conditions. Therefore, in practice, simplified and approximate methods of calculation are used. In the presence of concentrated masses and in the case of energy scattering registration in places where pipelines are fastened, calculation algorithms become more labor intensive. In some cases, a possibility of mathematical interpretation of a task becomes feasible only if some simplifications are introduced. The proposed analytical model for calculation of frequencies and forms of vibroacoustic load oscillations is based on the Krylov method. The determination of eigenforms and frequencies of vibrations of a pipeline is carried out by integrating an initial differential equation of free transverse oscillations for various types of fastening of the ends. The results of the software implementation of the model in the Python software environment are shown.
Authors and Affiliations
О. Ю. Олійник, Ю. К. Тараненко
Keywords
Related Articles
- EP ID EP642561
- DOI 10.32434/2521-6406-2019-5-1-54-62
- Views 118
- Downloads 0
Finite element modelling of stress-strain state of the traverse of the hydraulic press
In the present article the stress-strain state of the traverse of the central ejector of the hydraulic press has been investigated by using finite element modeling. It is established that in the traverse with the force o...
Моделирование колебаний стержня оправки стана холодной пильгерной прокатки труб
Рассмотрена задача о параметрических колебаниях для выбранной модели системы «труба – оправка – стержень» механизма удержания оправки стана холодной пильгерной прокатки труб (ХПТ). Разработана расчетная схема и составлен...
Free vibrations modeling of the rectangular plate with an arbitrary from hole
The Reissner variations principle is used to study influence of an arbitrary hole on the frequencies of rectangular plate. Deflection and moments are approximated independently through the R-functions with a few (not def...
Stochastic modeling of high-molecular substances electrophoresis using the Ornstein-Uhlenbeck process
The aim of the work is to develop a statistical model in the form of the Ornstein-Uhlenbeck trend process for describing the electrophoresis of high-molecular substances. The ability of electrophoresis to divide charged...
Математическое моделирование сборки составной оболочки
Сборка является заключительным этапом изготовления машин, аккумулирующим накопленные на предшествующих этапах несовершенства. Для составной оболоч- ки многоступенчатых ракет контейнерного базирования существующий уровень...