Abstract
One of the main sources of destruction during earthquake is resonance. Therefore, the following idea has been proposed. We design special control linkages between floors that are normally unattached to the building but can be attached if necessary. They are so designed that adding them changes the building's characteristic frequency. We continuously monitor displacements within the structure, and when they exceed specified limits, the linkages are engaged in a way to control structural motion. This idea can also be applied to avoid vibrational destruction of large aerospace structures.
Abstract
Однн из основных нсточников разрушений при землетрясении — резонанс. В связи с зтим прелложена следуюшая идея. Мы разрабатываем специальные управляюшие связи между зтажами, которые в норме ие соединены с самим зданием, но при необходимости могут быть присоединены. Они созданы так, что их добавление изменяет резонансную частоту здания. Мы последовательно отслеживаем смещения в структуре, и, когда они превышают определенный предел, связи включаются для контроля лвижения системы. Зта илея также может быть применена, чтобы предотвратить вибрационное разрушение в болыцих азрокосмических системах.
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References
Aberth, O.Precise numerical analysis Wm. C. Brown. Publ., Dubuque, Iowa, 1988.
Bellman, R.Introduction to matrix analysis. McGraw Hill, N.Y., 1970.
Bohlender, G., Ulrich, C., Wolff von Gudenberg, J., and Rall, L. B.Pascal-SC. A computer language for scientific computations. Academic Press, N.Y., 1987.
Burden, R. L. and Faires, J. D.Numerical analysis. Prindle, Weber & Schmidt, Boston, MA, 1985.
Chung, L. L., Lin, R. C., Soong T. T., and Reinhorn, A. M.,Experimental study of active control for MDOF seismic structures. Journal of Engineering Mechanics115 (8) (1989), pp. 1609–1627.
Corliss, G. F.Applications of differentiation arithmetic. In: Moore, R. E., (ed.) “Reliability in computing”, Academic Press, N.Y., 1988. pp. 127–148.
Dehghanyar, T. J., Masri, S. F., Miller, R. K., and Caughey, T. K.On-line parameter control of nonlinear flexible structures. In: “Proceedings of the 2nd International Symposium on Structural Control, Martinus-Nijhoff, Boston, MA, 1987”, pp. 141–159.
Jaja, J.An introduction to parallel algorithms. Addison-Wesley, Reading, MA, 1992.
Karmarkar, N.A new polynomial-time algorithm for linear programming. Combinatorica4 (1984), pp. 373–396.
Kobori, T.State-of-the-art of structural control research in Japan. In: “Proceedings of the US National Workshop on Structural Control, October 25–26, 1990”, pp. p1–p21.
Kobori, T. et al.U.S. Patent No. 5,036,633.
Kobori, T., Kanayama, H., and Kamagata, S.A proposal of new anti-seismic structure with active seismic response control system—dynamic intelligent building. In: “Proceedings of the 9th World Conference on Earthquake Engineering, Tokyo—Kyoto, Japan,VIII”, pp. 465–470.
Kobori T., Kanayama, H., and Kamagata, S.Active seismic response control systems for nuclear power plant equipment facilities. Nuclear Engineering and Design111 (1989), pp. 351–356.
Kobori, T., Yamada, S., and Kamagata, S.U.S. Patent No. 4,922,667.
Kreinovich, V., Lakeyev, A., and Noskov, S.Optimal solution of interval linear systems is intractable (NP-hard). Interval Computations (1) (1993).
Markov, S.Interval differential equations. In: Nickel, K. E. (ed.) “Interval Mathematics 1980”, Academic Press, N.Y., 1980, pp. 145–164.
Meirovitch, L., Baruch, H., and Oz, H.A comparison of control techniques for large flexible structures. Journal of Guidance,6 (4) (1983), pp. 302–310.
Moore, R. E.Automatic local coordinate transformations to reduce the growth of error bounds in interval computation of solution of ordinary differential equations. In: Rall, L. B. (ed.) “Errors in Digital Computations, Proceedings of a Symposium”, John Wiley & Sons, N.Y., 1965, pp. 103–140.
Moore, R. E.Interval analysis. Prentice Hall, Englewood Cliffs, N.J., 1966.
Moore, R. E.Mathematical elements of scientific computing. Holt, Rinehart and Winston, N.Y., 1975.
Moore, R. E.Methods and applications of interval analysis. SIAM, Philadelphia, 1979.
Nemir, D. C., Koivo, A. J., and Kashyap, R. L.Pseudolinks and the self-tuning control of a non-rigid link mechanism, IEEE Transactions on Systems, Man and Cybernetics18 (1) (1988), pp. 40–48.
Osegueda, R. A., Nemir, D. C., and Lin, Y. J.On-line adaptive stiffness control to tailor modal energy contents in structures. In: “ADPA/AIAA/ASME/SPIE Conference on Active Materials and Adaptive Structures, Alexandria, VA, November 5–8, 1991”.
Rall, L. B.Applications of software for automatic differentiation in numerical computation. In: Alefeld, G. and Grigorieff, R. D. (eds) “Fundamentals of Numerical Computations (Computer-Oriented Numerical Analysis)”, Springer-Verlag, Wien, N.Y., 1980, pp. 141–156.
Rall, L. B.Automatic differentiation: techniques and applications. Lecture Notes in Computer Science 120, Springer-Verlag, Berlin-Heidelberg-N.Y., 1981.
Rall, L. B.Differentiation and generation of Taylor coefficients in Pascal-SC. In: Kulisch, U. W. and Miranker, W. L. (eds) “A New Approach to Scientific Computation”, Academic Press, N.Y., 1983, pp. 291–309.
Ratschek, H. and Schröder, G.Über die Abteitung von intervallwertigen Funktionen. Computing7 (1971), pp. 172–187.
Sendov, B.Some topics of segment analysis. In: Nickel, K. E. (ed.) “Interval Mathematics, 1980”, Academic Press, N.Y., 1980, pp. 203–222.
Shary, S. P.Solution of “outer” and “inner” problems for an interval system of linear algebraic equations. Ph.D Dissertation Kransoyarsk—Ekaterinburg, 1991 (in Russian).
Shary, S. P.A new class of algorithms for optimal solution of interval linear systems. Interval Computations (2) (1992), pp. 18–29.
Soong, T. T.Active structural control: theory and practice. Longman Scientific, Essex, 1990.
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Kreinovich, V., Nemir, D. & Gutierrez, E. Applications of interval computations to earthquake-resistant engineering: How to compute derivatives of interval functions fast. Reliable Comput 1, 141–172 (1995). https://doi.org/10.1007/BF02384052
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DOI: https://doi.org/10.1007/BF02384052