The paper presents example results of numerical and photogrammetric analysis leading to identify the causes of cracking and wrinkling during bathtub W1200 production. The verification of tools for the stamping of bathtub W1200 was performed using finite element method and photogrammetric system ATOS Triple Scan. A series of industrial tests was conducted to identify the model parameters. The major and minor strain distributions obtained from the finite element simulations were used in conjunction with the forming limit diagram to predict the onset of fracture. In addition, the effects of blank holder pressure and friction on the occurrence of fracture and wrinkling were investigated.Keywords: deep drawing, bathtub, restraining force, geometrical drawbead, finite element method W artykule przedstawiono przykładowe wyniki analiz numerycznych i fotogrametrycznych mających na celu identyfikację przyczyn powstawania fałdowania i pękania wanny serii W1200 w trakcie cyklu produkcyjnego. Weryfikacja narzę-dzi przeznaczonych do tłoczenia wanny W1200 została przeprowadzona przy użyciu metody elementów skończonych oraz precyzyjnego systemu fotogrametrycznego ATOS Triple Scan. W trakcie prac badawczych przeprowadzono cykl procesów nadzorowanych procesu produkcyjnego mającego na celu identyfikację parametrów modelu numerycznego. Odkształcenia duże i małe wyznaczone na podstawie symulacji numerycznych w połączeniu z krzywą odkształceń granicznych (KOG) pozwoliły na identyfikację krytycznych rejonów wytłoczki narażonych na fałdowanie i pękanie. Dodatkowo w trakcie przeprowadzonych prac przeanalizowano wpływ warunków tarcia oraz nacisku w kontekście powstawania fałdowania i pękania wytłoczki.
Some of the non-classical distribution functions defined on the phase space can be unified owing to specific parameterization. The latter allows one to think about the general form of the equation of motion for such parameterized distribution functions. Motivated by this idea, we derive the equation of motion for so-called the τ-Wigner distribution function. This parameterization directly results from a modification of the linear transformation of the spatial variables which is used to derive the original Wigner distribution function and its equation of motion. The derived equation is analytically solved for the case of linear potential. The point symmetries of this last equation are also analysed.
The paper presents web base system for an application of parallel object-oriented programming technique in modelling of rolling process of steel plates with semi-solid zone. It also throws light on the problem of semi-solid steels yield stress relationship, one of the main input data of the simulation, and on application of inverse solution, the only possible method of development of the stress-strain curves at extremely high temperatures. Due to limitations of available computer resources a very accurate computation can sometimes be impossible or the time performance can be a barrier for practical application of complex sequential models. Taking advantage of parallel computing the authors have developed an algorithm allowing for fast computation using multiple processors, which is the main subject of the presented paper.Keywords: parallel computation, semi-solid state, FEM modelling, inverse analysis, solidification W pracy zaprezentowano system internetowy dla aplikacji wykorzystującej obliczenia równoległe oraz obiektowe techniki programowania do modelowaniu procesu walcowania blach z występowaniem strefy półciekłej. Określenie granicy plastyczności dla stali w stanie półciekłym jest niezwykle trudne, niezbędne dane w postaci krzywych naprężenie-odkształcenie w ekstra wysokich temperaturach można uzyskać jedynie przy zastosowaniu analizy odwrotnej. Ze względu na ograniczenie dostępnych zasobów komputerowych, a także złożoność modeli obliczeniowych, bardzo dokładne analizy mogą być bardzo czasochłonne, a w pewnych przypadkach nawet niemożliwe. Autorzy, wykorzystując obliczenia równoległe, opracowali algorytm pozwalający na szybkie obliczenia przy użyciu wielu procesorów, co jest głównym przedmiotem niniejszej pracy.
This article shows example result of computer simulations supporting production process of bearing housing of aircraft engine. Verification of both deep drawing process project and tools design were carried out using finite element models implemented in eta/Dynaform 5.8.1 system and LS-DYNA solver. Wrinkling and fracture of the material were the main phenomena subjected to the investigation on the way of numerical analysis. A number of computer simulations were carried out in aim to analyze the deformation and strain distribution in the final product, as well as to eliminate the mentioned defects. In addition the comparison of results of both industrial tests and computer simulation was done.Keywords: drawing, rubber forming, FEM modeling W artykule przedstawiono przykładowe wyniki symulacji komputerowych wspomagających proces produkcyjny elementu silnika lotniczego z wykorzystaniem narzędzi elastycznych. Projekt narzędzi oraz ich weryfikację do procesu tłocznia przeprowadzono z wykorzystaniem systemu eta/Dynaform 5.8.1 i jego solvera LS-DYNA. Pofałdowanie i zrywanie materiału wytłoczki to typowe trudności jakie napotkano w trakcie analiz numerycznych. Przeprowadzono szereg symulacji komputerowych mają-cych na celu wyeliminowanie pojawiających się typowych dla procesu tłoczenia wad. W ramach prac przeprowadzono także próby przemysłowe. Wykorzystując nowoczesne techniki pomiarów, wyniki ze wstępnych prób przemysłowych, porównano z wynikami symulacji komputerowych.
The growing demand for products with higher durability and quality of performance affects the need for new technologies and for new methods of analysis of the correctness of their performance at the design stage [1][2][3]. Continuous progress in the field of rotary plastic forming methods affects, inter alia, the classification of technological processes. More and more often used technique of forming of axisymmetric products is rotary forming which includes metal spinning, flow forming and hybrid forming. The rotary forming processes is classified among stamping, however, the forces encountered during spinning and flow forming are much smaller due to the local contact of tools with shaped material [4,5]. The most important difference between the metal spinning and the flow forming concerns the product wall thickness. In spinning process, the thickness remains the same, while in the flow forming it is intentionally reduced. Rotary forming can be performed in the cold and hot state. Material deformation in the process of metal spinning is influenced by many factors [6][7][8]. The most important are:• rotational speed of the mandrel• working roller travel • working radius of the roller • diameter of the metal spinning rollerThe use of modern computer technology has become an integral part of the development of innovative stamping, spinning and flow forming technologies. The application of numerical analysis systems based on the finite element method speeds up the design and optimization of forming processes. However, the use of computer simulation systems with GUI for analysis of rotary forming is complicated, mainly due to the lack of a commercial software dedicated to such processes and equipped with system of process automation. An increasing number of manually operated numerical analyzes of the rotary forming process shows how important is that method of metal forming [9,10] in the context of industrial processes.The basis of the analysis were tests carried out in Metal Forming Institute in Poznan. The test material, a Hastelloy C-276 (UNS N10276) alloy, was subjected to stamping and subsequent The paper deals with the problem of forming of axisymmetric element. Two-stages process was taken into consideration: deep drawing of metal blank using hydraulic press and the method of elongating flow forming. The contribution presents results of numerical and experimental analyzes. numerical simulations of both the processes were realized in kraków at aGH University. Numerical verification of both processes was carried out using finite element models implemented with the help of commercial analysis system on basis of conducted in Poznań experimental shaping tests of Hastelloy c-276 alloy. The tests were aimed to find opportunities and conditions of plastic deformation of the material. This article summarizes example results of both numerical and experimental forming of products made of hard-to-deform material..
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