Lai analizētu cieta ķermeņa deformā

Lai analizētu cieta ķermeņa deformācijas uzdevumus, siltumapmaiņas uzdevumus, hidrodinamikas uzdevumus un elektromagnētisko lauku uzdevumus tiek izmantota GEM galīgo elementu metode (FEM – finiteelementmethod). Matemātikā GEM ir skaitļošanas tehnika lai iegūtu tuvinātus rezultātus diferenciālvienādojumiem ar robežnoteikumiem, kur tiek izmantotas dažādas variācijas metodes, lai palielinātu aprēķinu precizitāti. GEM ideja ir variācijas uzdevumu funkcionālā minimizācija, kur no funkciju kopuma, katra tiek noteikta uz savu apakšapgabalu, lai skaitliski analizētu sistēmu [16,17].
Ar galīgo elementu aprēķinu metodes algoritmu iespējam aprēķināt gan stieņu un siju sistēmas, gan plātņu un čaulu sistēmas un masīvu ķermeņu sistēmas, kurām tiek izmantoti jau datorprogrammā standartizēti galīgo elementu tipi. Aprēķiniem tiek izmantoti elementi no programmas elementu bibliotēkas, kur konstrukcijas diskretizētais modelis var sastāvēt gan no viena tipa elementiem, gan kombinēti ar dažāda tipa elementiem. Šos elementus matemātiski apraksta ar stinguma matricu, kur tabulas veidā ir dotas elementa reakcijas katrā mezgla punktā un pārvietojumi. Pēc šāda principa darbojas visas GEM aprēķinu datorprogrammas un rezultāti identiskos diskretizētajos modeļos ir tuvu kļūdas robežai[18].
Savā pētījumā ar datorprogrammu SolidWorks divriteņa rāmim izmantoju kombinēto tīklojuma veidu, kur divriteņa rāmja caurules veidotas ar čaulas tipa galīgo elementu tīklojuma veidu (shellmesh) (attēls 5.1.) un vietās, kur stiprinās un montējās citi savienojumi, un nepieciešams biezāks materiāls ar cietu ķermeņu tīklojuma veidu (solidmesh) (attēls 5.2.).

Results (English) 1:

To analyze the hard body deformation, heat exchange tasks, tasks and hydrodynamics electromagnetic field tasks are used GEM finite element method (FEM-finiteelementmethod). In mathematics the GEM is computing to get closer results for differential equations with boundary condition, which are used in different variations of the methods to increase the accuracy of the calculations. GEM idea is a variation of the minimization of a functional task, which function as a whole, each is determined on its subareas to numerically analyze system [16,17].With the finite element method of calculation algorithms to calculate both the rod and beam systems and plate and shell system and an array of body systems, which are used in computer programs already standardized finite element types. Calculations used elements from the element library that constructs the diskretizēt model can consist both of elements of the same type, and combined with different types of elements. These elements describe mathematical matrix that the numbness in tabular form are given in item response each node and transfers. As follows is running all the GEM software and calculation results are identical models in the diskretizēt is close to the limit of error [18]. In his study with computer program SolidWorks bike frame using combined network type to which the two frame tubes created with shell-type finite element network type (shellmesh) (Figure 5.1) and places that strengthen and other mounting connections, and requires thicker material with a hard body, the network type (solidmesh) (fig. 5.2).

Results (English) 2:

To analyze the rigid body deformation tasks, tasks of heat exchange, hydrodynamics tasks and tasks of electromagnetic fields used in the GEM finite element method (FEM - finiteelementmethod). GEM is the mathematics of computing equipment to get results approximating differential equations with boundary conditions, which are used in different variations of the methods to increase the accuracy of calculations. GEM idea variations task functional minimization, where the feature set of each is set to your sub to numerically analyze the system [16,17].
The finite element method of calculation algorithms allow estimation of both bars and beam systems, both board and shell systems, an array of body systems, which are used in a computer program standardized finite element types. For evaluation purposes elements of the program elements of the library, where the design of discrete model may comprise both elements of the same type, or be combined with different types of elements. These elements are mathematically described by stiffness matrix, where the tables are given in the form of cell reactions at each node and transfers. According to this principle works all GEM calculation software and the results of identical discrete models are close to the margin of error [18].
In a study of the software SolidWorks bicycle frame using a combined netting types where the bicycle frame tubes made ​​with shell-type finite element gridded type (shellmesh) (Figure 5.1.), and where will strengthen and assemble other compounds, and requires a thicker material with solid objects gridded type (solidmesh) (Figure 5.2.).