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Propunere de studii si activitati
vibratorii
Ing. Ana‐Maria POPA
Decembrie 2012
Principiu: Analiza modala
Analiza modala este fondata pe teoria lui Fourier care
permite scrierea unei functii continue si derivabile intr‐o
serie infinita de functii periodice
1
2
cos sin
ai,bi – coeficienti Fourier
ωi ‐ armonicele
Principiu: Analiza modala
Studiul continutului frecvential al unei miscari vibratorii
(deplasare, viteza, acceleratie, etc) permite identificarea
armonicelor caracteristice structurii ‐> moduri si
frecvente proprii
Aplicatii importante in 
inginerie
Identificarea spectrelor
de excitare seismica
Microzonare
seismica
Consolidare
structurala
Consolidare structurala
Principiu: modificarea geometriei unei structuri a.i.
variatia de rigiditate sa permita deplasarea frecventelor
proprii in zone spectrale cu excitatie de mai mica
intensitate
Consolidare structurala
Metoda clasica
Structura reala
Model numeric
Calcul frecvente
proprii
Analize numerice pt
solutie de modificare
structurala
Consolidare structurala
Metoda robusta
Structura reala
Model numeric
Calcul frecvente
proprii reale
Analize numerice pt solutie de 
modificare structurala pe baza
de model reprezentativ
Model experimental
Consolidare structurala
Concluzii
• Diferente importante intre frecventele numerice si
frecventele reale
• Necesitatea calarii modelului numeric in vederea
analizelor structurale, prin modificarea conditiilor
limita, a rigiditatilor locale, a distributiei maselor etc
Realizarea modelulul experimental
Captori pe
structura
Centrala
achizitie
Procesarea
datelor
Spectre de 
rapuns structura
Moduri si frecvente
proprii
Concluzii
Determinarea frecventelor proprii reale permite:
• Evaluarea corecta a fortelor seismice pe elemente
• Calarea modelului numeric pe comportamentul
real al structurii
• Cresterea preciziei in identificarea zonelor critice si
a factorilor de risc
• Eficientizarea costurilor necesare pentru
implementarea solutiei structurale
Contact
Ana‐Maria POPA: anamaria.popa@dcts.ro
+40 721 308 407

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Analiza modala