| Автор | Ahmadi, Goodarz |
| Дата выпуска | 1987 |
| dc.description | The stability of a class of distributed parameter systems subjected to stationary and non-stationary randomx excitations is studied. Several criteria regarding the almost-sure stabihty of the equilibrium state of the system are developed. A variational scheme for obtaining sharp stability criteria is formulated-Examples of flutter of a panel in a random wind and stability of a tall structure under a seismic load are solved to illustrate the applicability of the method. |
| Формат | application.pdf |
| Издатель | Oxford University Press |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Название | Almost-sure stability of a class of distributed parameter systems subjected to random excitations |
| Тип | research-article |
| DOI | 10.1080/02681118708806024 |
| Electronic ISSN | 1465-3389 |
| Print ISSN | 0268-1110 |
| Журнал | Dynamics and Stability of Systems |
| Том | 2 |
| Первая страница | 1 |
| Последняя страница | 17 |
| Аффилиация | Ahmadi, Goodarz; Department of Mechanical and Industrial Engineering, Clarkson University |
| Выпуск | 1 |
| Библиографическая ссылка | Ahmadi, G. 1977a. On the stability of a class of continuous systems with nonstationary. International Journal of Systems Science, 8: 1201–1207. |
| Библиографическая ссылка | Ahmadi, G. 1977b. On the stability of systems of coupled partial differential equations. Journal of Sound and Vibration, 52: 27–35. |
| Библиографическая ссылка | Ahmadi, G. 1977c. On stabihty of nonstationary stochastic differential equations. Iranian Journal of Science and Technology, 6: 75–80. |
| Библиографическая ссылка | Ahmadi, G. 1979. On the mean-square stability of a class of nonstationary coupled partial. Ingenieur-Archiv, 48: 213–219. |
| Библиографическая ссылка | Ahmadi, G and Glockner, P. G. 1983. Dynamic stability of a Kelvin-viscoelastic column. Journal of Engineering Mechanics Division, ASCE, 109: 990–999. |
| Библиографическая ссылка | Ahmadi, G and Mostaghel, N. 1976. On the stability of nonstationary nonlinear random systems. International Journal of Systems Science, 7: 67–77. |
| Библиографическая ссылка | Ahmadi, G. and Mostaghel, N. 1978. On the stability of columns subjected to nonstationary random or deterministic supportmotion. International Journal of Earthquake Engineering and Structural Dynamics, 6: 321–326. |
| Библиографическая ссылка | Ahmadi, G and Mostaghel, N. 1980. Stability and upper bound to the response of tall structures to earthquake support motion. Journal of Structural Mechanics, 8: 151–159. |
| Библиографическая ссылка | Ariaratnam, S. T. 1967. “Dynamic stability of a column under random loading”. In Dynamic Stability of Structures, London: Pergamon Press. |
| Библиографическая ссылка | Ariaratnam, S. T. and Graefe, P. W. 1965. Linear systems with stochastic coefficients. International Journal of Control, 1: 239–250. |
| Библиографическая ссылка | Bertram, J. E. and Sarachik, P. W. 1959. Stability of circuit with randomly time varying parameters Transactions of the IRE. PGIT-5, Special Supplement, 1: 260–270. |
| Библиографическая ссылка | Bisplinghoff, R. L., Ashley, H and Halfman, R.L. 1955. “Aero elasticity”. Reading, Mass: Addison-Wesley. |
| Библиографическая ссылка | Bolotin, V. V. 1963. “Nonconservative Problems of the Theory of Elastic Stability”. 102–104. New York: Macmillan. |
| Библиографическая ссылка | Bolotin, V. V. 1964. The Dynamic Stability of Elastic Systems, London: Holden-Day. |
| Библиографическая ссылка | Caughey, T. K and Gray, A. H. 1965. On the almost-sure stability of linear dynamical systems with stochastic coefficients. Transactions of the ASME. Journal of Applied Mechanics, 32: 365–372. |
| Библиографическая ссылка | Greenhill, A. G. 1881. Determination of the greatest height consistent with stability that a vertical pole or mast can be made, and the greatest height to which a tree of given proportions can grow. Proceedings, Cambridge Philosophical Society, 4: 65–73. |
| Библиографическая ссылка | Infante, E. F. 1968. On stability of some hnear nonautonomous random systems. Transactions of the ASME. Journal of Applied Mechanics, 35: 7–12. |
| Библиографическая ссылка | Infante, E. F. and Plaut, R. H. 1971. Stability of a column subjected to a time-dependent axial load. Journalm, American Institute of Aeronautics and Astronautics, 7: 766–768. |
| Библиографическая ссылка | Kalman, R. E. and Bertram, J. E. 1960. Control system analysis and design via the second method of Lyapunov. Transactions of the ASME. Journal of Basic Engineering, 82: 371–393. |
| Библиографическая ссылка | Korn, G. A. and Korn, T. M. 1968. “Mathematical Handbook for Scientists and Engineers”. New York: McGraw-Hill. |
| Библиографическая ссылка | Kozin, F. 1963. On almost-sure stability of linear systems with random coefficient. Journal of Mathematical Physics, 42: 59–67. |
| Библиографическая ссылка | Kozin, F. 1969. A survey of stabihty of stochastic systems. Automatica, 6: 95–112. |
| Библиографическая ссылка | Kozin, F and Milstead, R. M. 1979. The stability of a moving elastic strip subjected to random parametric excitation. Transactions of the ASME. Journal of Applied Mechanics, 46: 404–410. |
| Библиографическая ссылка | Kozin, F and Wu, C. M. 1973. On the stabihty of linear stochastic differential equations. Transactions of the ASME. Journal of Applied Mechanics, 40: 87–92. |
| Библиографическая ссылка | LaSalle, J. P. and Lefschetz, G. 1961. “Stability by Lyapunov's Direct Method”. New York: Academic Press. |
| Библиографическая ссылка | Leipholz, H. 1962. Die Knicklast des einseitig eingespannten Stabes mit gleichmassig verteilter, tangentialer Langsbelastung. Zeitschrift für Angewandte mathematik and Physik, 13: 581–589. |
| Библиографическая ссылка | Leipholz, H. H. E. 1980. “Stability of Elastic Systems”. Germantown, Maryland: Sijthoff and Noordhooff. |
| Библиографическая ссылка | Leipholz, H. H. E. and Piche, R. 1984. Stability of follower-force rods with weight. Journal of Engineering Mechanics Division ASCE, 110: 367–379. |
| Библиографическая ссылка | Lepore, J. A. and Shah, H. C. 1968. Dynamic stabihty of axially loaded columns subjected to stochastic excitations. Journal. American Institute of Aeronautics and Astronautics, 6: 1515–1521. |
| Библиографическая ссылка | McGill, D. J. 1971. Column instability under weight and follower loads. Journal of Engineering Mechanics Division ASCE, 97: 629–635. |
| Библиографическая ссылка | Plaut, R. H. and Infante, E. F. 1970. On the stability of continuous systems subjected to random excitation.Transactions of the ASME. Journal of Applied Mechanics, 37: 623–628. |
| Библиографическая ссылка | Samuels, J. S. and Eringen, A. C. 1959. On stochastic stability of linear systems. Journal of Mathematical Physics, 38: 83–103. |
| Библиографическая ссылка | Stratonovich, R. L. and Romanovskii, Yu. M. 1965. “Parametric effects of a random force on linear and nonlinear oscillatory systems”. In Nonlinear Transformations of Stochastic Processes, Edited by: Kuznetsov, P. I., Stratonovich, R. L. and Tikhonov, V. I. 322–326. London: Pergamon Press. |
| Библиографическая ссылка | Willems, J. L. 1972. “Lyapunov functions and global frequency domain stability criteria for a class of stochastic feedback systems”. In Stability of Stochastic Dynamical Systems, 131–146. Berlin: Springer. Lecture Notes in Mathematics 294 |
| Библиографическая ссылка | Willems, J. C. and Blankenship, G. L. 1971. Frequency domain stability criteria for stochastic systems. IEEE. Journal on Automatic Control, 16: 292–299. |
