analiza modala
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Propunere de studii si activitativibratorii
Ing. Ana‐Maria POPA
Decembrie 2012
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Principiu: Analiza modala
Analiza modala este fondata pe teoria lui Fourier carepermite scrierea unei functii continue si derivabile intr‐oserie infinita de functii periodice
12 cos sin
ai,bi – coeficienti Fourierωi ‐ armonicele
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Principiu: Analiza modala
Studiul continutului frecvential al unei miscari vibratorii(deplasare, viteza, acceleratie, etc) permite identificareaarmonicelor caracteristice structurii ‐> moduri sifrecvente proprii
Aplicatii importante in inginerie
Identificarea spectrelorde excitare seismica
Microzonareseismica
Consolidarestructurala
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Consolidare structuralaPrincipiu: modificarea geometriei unei structuri a.i.variatia de rigiditate sa permita deplasarea frecventelorproprii in zone spectrale cu excitatie de mai micaintensitate
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Consolidare structuralaMetoda clasica
Structura reala
Model numeric
Calcul frecventeproprii
Analize numerice ptsolutie de modificare
structurala
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Consolidare structuralaMetoda robusta
Structura reala
Model numeric
Calcul frecventeproprii reale
Analize numerice pt solutie de modificare structurala pe baza
de model reprezentativ
Model experimental
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Consolidare structuralaConcluzii
• Diferente importante intre frecventele numerice sifrecventele reale
• Necesitatea calarii modelului numeric in vedereaanalizelor structurale, prin modificarea conditiilorlimita, a rigiditatilor locale, a distributiei maselor etc
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Realizarea modelulul experimental
Captori pestructura
Centralaachizitie
Procesareadatelor
Spectre de rapuns structura
Moduri si frecventeproprii
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ConcluziiDeterminarea frecventelor proprii reale permite:
• Evaluarea corecta a fortelor seismice pe elemente
• Calarea modelului numeric pe comportamentulreal al structurii
• Cresterea preciziei in identificarea zonelor critice sia factorilor de risc
• Eficientizarea costurilor necesare pentruimplementarea solutiei structurale