Інженерна механіка та транспорт

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Subject: search.filters.subject.математична модель

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    Дослідження демпфера нормально закритого чи відкритого з керуванням по тиску стиснутого повітря пневматичного привода
    (Видавництво Львівської політехніки, 2013) Ковриженко, Д. В.
    A mathematical model of the pneumatic actuator with the damping rod at the end of stroke was made. Transient movement of the actuator piston is considered as adiabatic and in pseudo steady-statement. It is assumed that the compressed air is an ideal gas. Not any air leak in the drive is out. Designs of regulators normally open and closed adaptive to the level of pressure in the chambers of the drive was create. The design of the damper to the universal changeover from normally open to normally closed and vice versa. A mathematical model of adaptive dampers for the influence of design parameters on the process of damping was written. The greatest impact parameters are: the diameter of the piston, the spring constant, the zero offset spring, and the angle forming the rod to its axis. The optimal design of the drive, which provides a smooth stop for a range of pressure as the nominal flow rate, mass, and the constant force load, was found. In work showed the efficiency of a damper on the parameters established speed braking and a swing speed.
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    Уточнення рівнянь динаміки маятника Фурути
    (Видавництво Львівської політехніки, 2013) Роєнко, Юхим; Волянський, Роман; Садовой, Олександр
    The Furuta pendulum provides a compact and impressive device for control demonstrations and draws the attention of the control community as a device for the development of nonlinear control laws. Despite the popularity of the device, there are very few papers which employ the correct dynamics. In this paper, potential and kinetic energy and then the full dynamics of the Furuta pendulum has been found using methods a Lagrangian formulation, and the form of friction corresponding to the real object has been derived.
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    Моделювання поведінки дрібнодисперсного матеріалу при його витіканні із конічної лунки дозатора
    (Видавництво Львівської політехніки, 2013) Шоловій, Юрій; Магерус, Надія
    This article purpose is the modeling of the bulk material behavior during its outflow from the conical hole. The feasibility of bulk material behavior modeling and properties of the product and the environment impact on the flow properties of product features are justified in the article. The mathematical model of the bulk material behavior taking into account the power factors, that affect the bulk material batching features. The catenation forces impact (autohesion) on the bulk material behavior and its variability depending on the product and the environment properties is analyzed. The influence of humidity on the autohesion force was founded using the developed mathematical model and graphical method. The novelty of this mathematical model lies in the account of the catenation forces between the particles of the product and the investigating of its characteristics during the product and the environment properties changing.
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    Зміцнення поверхонь виробів рухомим струминним апаратом
    (Видавництво Львівської політехніки, 2011) Стоцько, Зеновій; Стефанович, Тетяна; Шептицький, Богдан
    Досліджено, що регулювати інтенсивність обробки доцільно за допомогою зміни швидкості руху струминного апаратута відстані від сопла до оброблюваної поверхні. Predicting of mechanical treatment results depending on the machined surfaces form and their physical and mechanical properties and an appropriate choice of technological modes are the important factors in creating competitive products. However, the technological modes choice for hydroabrasive blasting with loose solid balls are mostly based on practical experience and experimental data, which does not adequately forecast the surface quality characteristics and correctly assign technological modes. Therefore it is important the detailed research and mathematical descripting the mechanisms which forms quality of the surfaces of wares during processing with loose solid balls on the basis of which the technological providing can be developed for applying of the process in industry, development of recommendations for realization of automation of the process. Hydroabrasive blasting with loose solid balls is under consideration, and especially, the hardened layer distribution on the treated surface. Treating fixed flat surfaces with jet apparatus that moves progressively and uniformly relative to the surface is investigated. For implementation of strengthened layer depth distributing calculations an algorithm is made and the application program is realized in mathematical editor. The analysis of distribution diagrams of hardened layer on the treated surface for the different modes of the treatment by loose solid balls, gives next conclusions. Regulating the treatment intensity should be by changing the jet apparatus speed and the distance from the nozzle to the surface. Decreasing distance from the end of the nozzle to the treated surface conduces to the improvement of treating intensity. Speed of jet apparatus has the most significant impact on the hardened layer depth distribution. Increasing the speed lead to reduce intensity of hydroabrasive blasting. Uniformity surface strengthening is achieved during translational uniform movement of jet apparatus as shown the graphs form that is useful for technological process.