Кафедра "Прикладна математика"

Постійне посилання колекціїhttps://repository.kpi.kharkov.ua/handle/KhPI-Press/4610

Офіційний сайт кафедри http://web.kpi.kharkov.ua/apm

Від 1981 року кафедра має назву "Прикладна математика", первісна назва – кафедра теоретичної й математичної фізики.

Кафедра теоретичної й математичної фізики була заснована в 1947 році. Організатором і першим завідувачем цієї кафедри був відомий вчений-математик, фахівець із конструктивної теорії функцій, член-кореспондент Української Академії наук Наум Ілліч Ахієзер. У 1970 році кафедра цілком чітко взяла курс на дослідження прикладних питань математики, і ще тоді припускалося перейменування кафедри в кафедру "Прикладна математика".

Кафедра входить до складу Навчально-наукового інституту комп'ютерного моделювання, прикладної фізики та математики Національного технічного університету "Харківський політехнічний інститут".

У складі науково-педагогічного колективу кафедри працюють: 1 доктор технічних наук, 1 доктор фізико-математичних наук, 5 кандидатів технічних наук, 4 кандидата фізико-математичних наук; 2 співробітника мають звання професора, 8 – доцента, 1 – старшого наукового співробітника.

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2008 - 200922010 - 20202

Налаштування

Автор: search.filters.author.Sadowski, TomaszКлючові слова: search.filters.subject.sandwich plates

Результати пошуку

Зараз показуємо 1 - 4 з 4
  • Ескіз
    Документ
    Dynamics of sandwich plates weakened by single/multiple debonding
    (University of Zielona Góra Press, 2009) Burlayenko, Vyacheslav. N.; Sadowski, Tomasz
    The dynamic behavior of partially damaged at the skin/core interface sandwich plates with flexible honeycomb and polyvinyl chloride (PVC) foam cores are studied. The commercial finite element code ABAQUS is used to calculate natural frequencies and mode shapes of the sandwich plates with the debond zone. The effects of debonding size, debonding location and number of debonding on the modal parameters of damaged sandwich plates with various boundary conditions are investigated. The results of dynamic analysis illustrated that can be useful for analyzing practical problems related to the non-destructive damage detection of delaminated sandwich plates.
  • Ескіз
    Документ
    Influence of skin/core debonding on free vibration behavior of foam and honeycomb cored sandwich plates
    (Lublin University of Technology, Poland, 2008) Burlayenko, Vyacheslav. N.; Sadowski, Tomasz
    The dynamic behavior of partially debonded at the skin/core interface sandwich plates with flexible cores is studied. The commercial finite element code ABAQUS is used to calculate natural frequencies and mode shapes of the debonded sandwich plates. The effects of debonding size, debonding location and number of debonding on the modal parameters of damaged sandwich plates with various boundary conditions are investigated. The results of dynamic analysis illustrated that can be useful for analyzing practical problems related to the non-destructive damage detection of debonded sandwich plates.
  • Ескіз
    Документ
    Three-dimensional free vibration analysis of thermally loaded fgm sandwich plates
    (2020) Burlayenko, V. N.; Sadowski, Tomasz; Dimitrova, Svetlana
    Using the finite element code ABAQUS and the user-defined material utilities UMAT and UMATHT, a solid brick graded finite element is developed for three-dimensional (3D) modeling of free vibrations of thermally loaded functionally gradient material (FGM) sandwich plates. The mechanical and thermal material properties of the FGM sandwich plates are assumed to vary gradually in the thickness direction, according to a power-law fraction distribution. Benchmark problems are firstly considered to assess the performance and accuracy of the proposed 3D graded finite element. Comparisons with the reference solutions revealed high efficiency and good capabilities of the developed element for the 3D simulations of thermomechanical and vibration responses of FGM sandwich plates. Some parametric studies are carried out for the frequency analysis by varying the volume fraction profile and the temperature distribution across the plate thickness.
  • Ескіз
    Документ
    Free vibrations and static analysis of functionally graded sandwich plates with three-dimensional finite elements
    (2020) Burlayenko, V. N.; Sadowski, Tomasz
    A three-dimensional modelling of free vibrations and static response of functionally graded material (FGM) sandwich plates is presented. Natural frequencies and associated mode shapes as well as displacements and stresses are determined by using the finite element method within the ABAQUSTM code. The three-dimensional (3-D) brick graded finite element is programmed and incorporated into the code via the user-defined material subroutine UMAT. The results of modal and static analyses are demonstrated for square metal-ceramic functionally graded simply supported plates with a power-law through-the-thickness variation of the volume fraction of the ceramic constituent. The through-the-thickness distribution of effective material properties at a point are defined based on the Mori-Tanaka scheme. First, exact values of displacements, stresses and natural frequencies available for FGM sandwich plates in the literature are used to verify the performance and estimate the accuracy of the developed 3-D graded finite element. Then, parametric studies are carried out for the frequency analysis by varying the volume fraction profile and value of the ceramic volume fraction.