Analiza 2D konstrukcij z metodo končnih elementov

Banfi, Igor (author), Čepon, Gregor (mentor), Boltežar, Miha (co-mentor)

V tej nalogi je predstavljen postopek statične in dinamske analize ravninske konstrukcije. Konstrukcijo sestavljajo eno-dimenzijski konstrukcijski elementi palic in nosilcev. Analiza je izvedena po metodi končnih elementov z uporabo dvo-vozliščnih končnih elementov. Prikazan je postopek določitve togostne in masne matrike konstrukcije ob upoštevanju različnih pogojev konsistentnega prehoda in robnih pogojev. Izračunane so deformacije konstrukcije pod obremenitvijo in lastne frekvence konstrukcije. Verifikacija razvitega algoritma za preračun ravninskih konstrukcij je izvedena preko primerjave rezultatov pridobljenih z Ansys APDL in analitičnimi izračuni.

• Language: Slovenian
• Keywords: palične konstrukcije metoda končnih elementov palice nosilci togostne matrike masne matrike lastne frekvence
• Work type: Final paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Publisher: [I. Banfi]
• Year: 2018
• PID: 20.500.12556/RUL-102560
• UDC: 519.61(043.2)
• COBISS.SI-ID: 16360475
• Publication date in RUL: 02.09.2018

Secondary language

• Language: English
• Title: Analysis of 2D structures using finite element method

Abstract

In this thesis static and dynamic analysis of plane structure is presented. Structure is composed out of one dimensional construction elements that are presented by trusses and beams. Analysis is carried out via finite element method by using two node finite elements. The work presnts the construction of mass and stifness matrix by considering conditions of consistent transition and various boundry conditions. Deformations of structure under load and natural frequencies are calculated. Accuracy of the developed calculation scheme is verified based on the comparison of results obtained via Ansys APDL and analytical calculations.

• Keywords: truss structures finite element method trusses beams stiffness matrices mass matrices natural frequencies