Relations between distributions of random vibratory processes and distributions of their envelopes

Oldřich Kropáč

Aplikace matematiky (1972)

  • Volume: 17, Issue: 2, page 75-112
  • ISSN: 0862-7940

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Kropáč, Oldřich. "Relations between distributions of random vibratory processes and distributions of their envelopes." Aplikace matematiky 17.2 (1972): 75-112. <http://eudml.org/doc/14747>.

@article{Kropáč1972,
author = {Kropáč, Oldřich},
journal = {Aplikace matematiky},
language = {eng},
number = {2},
pages = {75-112},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Relations between distributions of random vibratory processes and distributions of their envelopes},
url = {http://eudml.org/doc/14747},
volume = {17},
year = {1972},
}

TY - JOUR
AU - Kropáč, Oldřich
TI - Relations between distributions of random vibratory processes and distributions of their envelopes
JO - Aplikace matematiky
PY - 1972
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 17
IS - 2
SP - 75
EP - 112
LA - eng
UR - http://eudml.org/doc/14747
ER -

References

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  1. Abramowitz A., Stegun I., Handbook of mathematical functions with formulas, graphs and mathematical tables, Nat. Bureau Stand., Washington, 1964. (1964) Zbl0171.38503
  2. Барк Л. С., Большее Л. H., Кузнецов П. И., Черенков А. П., Таблицы распределения Релея-Райса, Изд. Выч. центра АН СССР, Москва, 1964. (1964) Zbl1117.65300
  3. Бункин Ф. В., О свойствах огибаюшей стационарного случайного процесса, Радиотех. и электроника, Том 5 (1960), вып. 9, стр. 1555-1556. (1960) Zbl1004.90500MR0134806
  4. Crandall S. H., Mark W. D., Random vibrations in mechanical systems, Academic Press, New York, 1963. (1963) 
  5. Drexler J., Kropáč O., Contribution to random vibration of one class of non-linear parametrically excited two-mass systems, Proceed. Fifth Conf. Dynamics of Machines, Liblice, 1968, pp. 101-109. (1968) 
  6. Drexler J., Kropáč O., One class of non-linear stochastic differential equations characterized by random excitation, Proceed. 12th Internat. Congress Applied Mechanics, Stanford Univ. Aug. 1968, Springer-Verlag, Berlin, 1969, pp. 179-191. (1968) Zbl0194.40703MR0359461
  7. Dwight H. B., Tables of integrals and other mathematical data, Macmillan, New York, 1961 (4th edit.). (1961) Zbl0154.18410MR0129577
  8. Градштейн И. С., Рыжык И. М., Таблицы интегралов, сумм, рядов и произведений, Физматгиз, Москва, 1963 (4-е изд.). (1963) Zbl1145.93303
  9. Jahnke-Emde-Lösch, Tafeln höherer Funktionen, Teubner, Stuttgart, 1960 (6th edit.) (1960) Zbl0087.12801
  10. Kendall M. G., Stuart A., The advanced theory of statistics, Vol. I, Distribution theory, Griffin, London, 1963 (2nd edit.). (1963) 
  11. Kropáč О., On treatment of samples of random processes given by their envelopes, Acta technica ČSAV, Vol. 15 (1970), No. 5, pp. 594-610. (1970) Zbl0217.50103MR0277079
  12. Kropáč O., 10.1016/0022-460X(71)90387-7, Journ. Sound Vibrat., Vol. 14 (3971), No. 2, pp. 241-249. Zbl0266.70022DOI10.1016/0022-460X(71)90387-7
  13. Rice S. O., 10.1002/j.1538-7305.1944.tb00874.x, Bell System Techn. Journ., Vol. 23 (1944), pp. 282-332, Vol. 24 (1945), pp. 46-156. (1944) Zbl0063.06485MR0011918DOI10.1002/j.1538-7305.1944.tb00874.x
  14. Рытое C. M., Введение в статистическую радиофизику, Изд. Наука-ФМЛ, Москва, 1966. (1966) Zbl1155.78304
  15. Tables of error functions and of its twenty derivatives, Harvard Univ. Press, Cambridge (Mass.), 1952. (1952) 

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