RANDOM VIBRATION ANALYSIS OF OFFICE AND RESIDENTIAL FLOORS SUBMITTED TO WALKING PERSONS

RANDOM VIBRATION ANALYSIS OF OFFICE AND RESIDENTIAL FLOORS SUBMITTED TO WALKING PERSONS

Franco, Mario

Full Article:

To avoid annoying vibration of office and residence floors, codes usually state that the first natural frequency of each panel should be at least 6 Hz; this concept has lately become a sort of taboo for structural engineers. However, in many cases panels have a natural frequency below (even much below) that limit; it is then necessary, in order to comply with the codes, to increase the frequency by acting on the mass and/or stiffness, or to add tuned-mass dampers. Before resorting to these measures, that may prove difficult and expensive, it is advisable to first perform a vibration analysis of the floor and to assess the vertical accelerations induced by walking persons; codes provide upper limits for these accelerations. The present paper presents a methodology based on the Monte Carlo Method in which the vibration is simulated in a finiteelements model. A numerical example illustrates the proposed methodology through the analysis of a floor with a 2.9 Hz first natural frequency.

To avoid annoying vibration of office and residence floors, codes usually state that the first natural frequency of each panel should be at least 6 Hz; this concept has lately become a sort of taboo for structural engineers. However, in many cases panels have a natural frequency below (even much below) that limit; it is then necessary, in order to comply with the codes, to increase the frequency by acting on the mass and/or stiffness, or to add tuned-mass dampers. Before resorting to these measures, that may prove difficult and expensive, it is advisable to first perform a vibration analysis of the floor and to assess the vertical accelerations induced by walking persons; codes provide upper limits for these accelerations. The present paper presents a methodology based on the Monte Carlo Method in which the vibration is simulated in a finiteelements model. A numerical example illustrates the proposed methodology through the analysis of a floor with a 2.9 Hz first natural frequency.

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DOI: 10.5151/meceng-wccm2012-20102

Referências bibliográficas

• [1] Crandall, S. H. and Mark, W. D., "Random vibration in mechanical systems", Academic Press, New York, San Francisco, London, 1973.
• [2] Sobol, I. M., "The Monte Carlo Method", Mir Publishers, 1975. Translated from the Russian original of 1972.
• [3] Bachmann H., Pretlove, A.J., Rainer, H. et al, "Vibration problems in structures", Comité Euro-International du Béton (CEB), Bulletin d''Information no.209, Lausanne, 1991.
• [4] Knuth, D., "Seminumerical algorithms", Vol. 2, London, 1981, in "HP-42 S Scientific Calculator Owner''s Manual", page 88.

Como citar:

Franco, Mario; "RANDOM VIBRATION ANALYSIS OF OFFICE AND RESIDENTIAL FLOORS SUBMITTED TO WALKING PERSONS", p-4799-4816. In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-20102