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Title:Analiza dinamičnega odziva sistemov z eno prostostno stopnjo na časovno spremenljive zunanje obtežbe z uporabo spektrov odziva
Authors:ID Romih, Gregor (Author)
ID Peruš, Iztok (Mentor) More about this mentor... New window
ID Imamović, Denis (Comentor)
Files:.pdf VS_Romih_Gregor_2025.pdf (2,64 MB)
MD5: EA2E783D1AC01798463D421D45188D92
 
Language:Slovenian
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
Abstract:Diplomsko delo obravnava osnovne principe in metode dinamike gradbenih konstrukcij na enostavnih sistemih z eno prostostno stopnjo. Predstavljena je izpeljava osnovne enačbe gibanja in njena posplošitev na primer potresne obtežbe, ki ustreza gibanju podpor. V osrednjem delu so podane analitične rešitve enačbe gibanja za različne vrste časovno odvisnih obtežb, pri čemer je poudarek na primeru resonančnega odziva pri harmonični obtežbi. Za te iste obtežbe je prikazan tudi izračun (maksimalnih) dinamičnih faktorjev, ki omogočajo enostavno analizo dinamičnih vplivov v gradbeniški praksi. Za primere gibanja podpor so definirani spektri odziva, ki so nato izračunani za nekaj izbranih primerov gibanja tal. Izračun je bil narejen z uporabo Newmarkove metode z linearnimi pospeški, implementirane v programskem okolju Wolfram Mathematica. Z računskima primeroma je ilustrirana uporaba dinamičnih faktorjev in spektrov odziva na dveh primerih stavb. Dobljeni rezultati kažejo na enostavnost uporabe uporabljenih konceptov in postopkov, kljub kompleksnosti dinamičnih pojavov pri gradbenih konstrukcijah. Še več, uporabljene poenostavitve kažejo, da je mogoče s primernim razumevanjem problematike dobiti rezultate, ki so dovolj natančni za inženirsko uporabo in/ali oceno velikostnega reda dinamičnih vplivov v gradbeniški praksi.
Keywords:dinamični faktor, dinamična analiza, spekter odziva, gibanje tal, časovni odziv
Place of publishing:Maribor
Publisher:[G. Romih]
Year of publishing:2025
PID:20.500.12556/DKUM-95346 New window
UDC:69(043.2)
COBISS.SI-ID:251420675 New window
Publication date in DKUM:25.09.2025
Views:256
Downloads:98
Metadata:XML DC-XML DC-RDF
Categories:KTFMB - FG
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Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:15.09.2025

Secondary language

Language:English
Title:Analysis of the dynamic response of single-degree-of-freedom systems to time-varying external loads using response spectra
Abstract:The thesis deals with the basic principles and methods of structural dynamics on simple systems with one degree of freedom. The derivation of the basic equation of motion and its generalization to the example of seismic loading corresponding to the support's excitation are presented. In the central part of the thesis, analytical solutions to the equation of motion for various types of time-dependent loads, with the emphasis on the example of resonant response under harmonic loading, are given. For these same dynamic loads, the calculation of (maximum) dynamic factors is also shown, which enables a simple analysis of dynamic effects in structural design. Response spectra are defined for examples of support's excitation, which are then calculated for a few selected examples of ground motion. The calculation was made using the Newmark method with linear accelerations, implemented in the Wolfram Mathematica software environment. Computational examples illustrate the use of dynamic factors and response spectra on two examples of buildings. The obtained results indicate the ease of use of the concepts and procedures used, despite the complexity of dynamic phenomena in building structures. Moreover, the simplifications applied show that with an appropriate understanding of the matter, it is possible to obtain results that are sufficiently accurate for engineering use and/or to estimate the order of magnitude of dynamic effects in structural design practice.
Keywords:dynamic factor, dynamic analysis, response spectrum, ground excitation, time-history response


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