Usporedba dinamičkog proračuna pojednostavljenog i složenog numeričkog modela armiranobetonske zgrade

master's thesis

• Title (english): Dynamic Analysis Comparison of Simplified and Software Generated Numerical Model of Reinforced Concrete Building
• Author: Katarina Marić
• Mentor: Marija Demšić (mentor)
• Committee member: Josip Atalić (predsjednik povjerenstva)
• Committee member: Marija Demšić (član povjerenstva)
• Committee member: Mario Uroš (član povjerenstva)
• Granter: University of Zagreb; Faculty of Civil Engineering; (Engineering Mechanics); Zagreb
• Defense date and country: 2019-09-19, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Civil Engineering

Abstract

U radu su oblikovana dva numerička modela armiranobetonske građevine. Prvi, pojednostavljeni model, oblikovan je pomoću programa za simboličku matematiku, Wolfram Mathematica, u kojem su definirane lokalne matrice krutosti nosivih sustava građevine, pripadne matrice transformacije te je pomoću njih formirana globalna matrica krutosti. Uz definiciju diskretne matrice masa, riješen je problem svojstvenih vrijednosti te su određene osnovne dinamičke karakteristike građevine: frekvencije, periodi, vlastiti vektori te faktori doprinosa modalnih masa. Proračun djelovanja na potres proveden je primjenom metode proračunskog spektra odziva. Pri određivanju proračunskih vrijednosti korištena je CQC modalna kombinacija, a SRSS kombinacija primijenjena je za smjerove djelovanja potresa. Pomoću programskog paketa CSI ETABS v.15 oblikovan je složeni model građevine. U modelu su napravljene korekcije u krutosti elemenata kako bi se njihovo ponašanje prilagodilo pretpostavkama korištenim pri formiranju pojednostavljenog numeričkog modela. Usporedba rezultata provedena je u dvije razine: prva sadrži analizu rezultata osnovnih dinamičkih karakteristika građevine, a u drugoj je analizirana ukupna poprečna sila za zadani proračunski spektar. Dodatno su prikazani i rezultati modela bez korigiranih krutosti te je provedeno dimenzioniranje odabranih elemenata.

Abstract (english)

In the graduate thesis two numerical models of RC building are generated. Simplified numerical model is generated using software Wolfram Mathematica. Global stiffness matrix is formed by transforming corresponding local stiffness matrices. A discrete mass matrix is also assigned in the program after which the eigenvalue problem is solved and the basic dynamic characteristics of a structure are determined: frequencies, periods, eigenvectors and contribution factors of modal masses. The earthquake response is determined using the response spectrum analysis. The CQC modal combination was used to determine the peak response values and the SRSS combination was applied for the directions of earthquake action. With the numerical program CSI Etabs v.15, a complex numerical model of the building was generated. In this model the adjustments to the stiffness of the elements were made to adjust their behavior to the assumptions used in the formation of the simplified numerical model. The comparison of the results was performed in two levels: the first contains an analysis of the results of the basic dynamic characteristics of the building and the second analyzes the base shear values for assigned design spectrum. Additionally, the results of the model without corrected stiffness are presented and the design of selected elements was performed.

• Keywords: armiranobetonska konstrukcija; matrica krutosti; matrica masa; dinamička analiza; seizmičko opterećenje
• Keywords (english): reinforced concrete structure; stiffness matrix; mass matrix; dynamical analysis; seismic action
• Language: croatian
• URN:NBN: urn:nbn:hr:237:808053
• Study programme: Title: Civil Engineering; specializations in: Construction Management, Transportation Engineering, Geotechnical Engineering, Hydraulic Engineering, Structural Engineering, Construction Materials, Theory and Modeling of Structures; Course: Theory and Modeling of Structures; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra inženjer/inženjerka građevinarstva (magistar/magistra inženjer/inženjerka građevinarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2019-11-15 10:59:27