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Isaac Elishakoff

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Karman (1881-1963) world renowned aeronautics expert and first director of the Guggenheim Aeronautical Laboratory at the California Institute of Technology. Each year, world-class scholars in the field of science and technology are selected and supported through this fellowships. Elishakoff's host was the Department of Continuum Mechanics. Prof. Elishakoff gave two presentation : (1) "Resolution of the 20th century conundrum in Elastic Stability", and a public lecture (2) "Scientific and Personal Stories about Theodore Von Karman, Stephen Timoshenko, Paul Ehrenfest, and Walter Vincenti."
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In 2024, Elishakoff has been selected for the world-renowned "Theodore Von Karman Fellowships". The Karman Fellowships is an award established in 2005 by the Aachen University of Technology (RWTH Aachen) in Federal Republic of German to honor the work of the physicist and engineer Prof. Theodore Von
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Elishakoff is interested in the history of science. In recent years he published several articles about Stephen P. Timoshenko (1878-1972), author of numerous textbooks In applied mechanics. The article “ Stepan Prokofievich Timoshenko and America” became one of the most downloaded articles of The
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What you are feeling right now, is your body rejecting an idea that is trying to make you learn it. Don’t fight the confusion. That’s just your mind scabbing over in a desperate attempt to protect you from that unnatural commingling of numbers and letters up there. You can’t add it, and you can’t
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In 2021, Elishakoff received the Blaise Pascal Medal in Engineering from the European Academy of Sciences, “to recognize an outstanding and demonstrated personal contribution to science and technology and the promotion of excellence in research and education.” He was simultaneously elected as a
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Elishakoff, I., Julius Kaplunov, Elizabeth Kaplunov, “Galerkin’s method was not developed by Ritz, contrary to the Timoshenko’s statement”, in Nonlinear Dynamics of Discrete and Continuous Systems (A. Abramyan, I. Andrianov and V. Gaiko, eds.), pp. 63-82, Springer, Berlin,
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Elishakoff wrote an extensive response to Mr. Colbert’s statements. Likewise, he described differential equations of love in order to promote love of differential equations by undergraduate students. As of June 1, 2024, these papers have been downloaded 17,582 times. With
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Inter-Professional Founders Award “In recognition for a lifetime achievement of accomplishments in applied mechanics research and instruction which affect world-wide advancement of business, culture, and learning”, by the Engineers Council.
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Elishakoff I., "Letters of S.P. Timoshenko to V. I. Vernadsky recently discovered at the Columbia University’s library, with analysis of his attitudes”, Mathematics and Mechanics of Solids, Vol. 27(6), 943-975,
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Elishakoff, I., Julius Kaplunov and Evgeniya Nolde, “Celebrating the centenary of Timoshenko’s study of effects of shear deformation and rotary inertia”, Applied Mechanics Reviews, Vol. 67(6), article 060802,
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Elishakoff I, Response to Stephen Colbert: Spicing up the Exposition of Differential Equations via Engaging with Relevant History of Algebra”, Journal of Humanistic Mathematics, Vol. 11(1), 323-345, 2021.
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In 2021, Professors Noel Challamel (University of South Brittany, France), Julius Kaplunov (University of Keele, United Kingdom) and Izuru Takewaki (Kyoto University, Japan) edited three books titled,
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Elishakoff, I.,” Stephen Timoshenko’s life during last five years in the Russian Empire: From the letters of his son Gregory”, Mechanics Research Communications, Vol.115, article 103691, 2021.
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Elishakoff, Isaac; Eisenberger, Moshe; Mercer, Alexander (2024). "Interesting Engineering Optimization Project Assignments in the Strength of Materials or Machine Design Courses".
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Fellow of the European Academy of Sciences. At the award ceremony he lectured on “Uncertainty Analysis in Engineering: From Blaise Pascal and Pierre Fermat to Modern Times.”
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He became a Fellow of American Academy of Mechanics, in 1991 ("For outstanding achievements and pioneering contributions in random vibrations”.) and was Visiting Professor,
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He has over 610 journal papers, Authored, co-authored, edited, or co-edited 32 books and has given over 200 national and international talks at conferences and seminars.
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Elishakoff, Isaac; Ratanpara, Abhishek (2022). "Projects-Based Instruction of Intermediate Strength of Materials Course: Preparing Students for Future Workforce".
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Elishakoff, Isaac (2000). "Applications of the Biename and Tchebycheff inequalities for the structural reliability and engineering planning and design courses".
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Neuringer, Joseph; Isaac, Elishakoff (1998). "Interesting instructional problems in column buckling for strength of materials and mechanics of solids courses".
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His selected lectures on (a) Elastic Stability, (b) Vibration Syntheses and Analysis and (c) Intermediate Strength of Materials are available on the internet.
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Elishakoff I., and Konstantin Volokh, "Centenary of two pioneering theories in mechanics", Mathematics and Mechanics of Solids, Vol. 26(12), 1896-1904, 2021.
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I. Elishakoff, D. Pentaras, K. Dujat, C. Versaci, G. Muscolino, J. Storch, S. Bucas, N. Challamel, T. Natsuki, Y.Y. Zhang, C.M. Wang and G. Ghyselinck,
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Elishakoff, I., Differential Equations of Love and Love of Differential Equations, Journal of Humanistic Mathematics, Vol. 9(2), pp. 226-46, 2019.
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Elishakoff, Isaac; Gentilini, Cristina; Santoro, Roberta (2006). "Some conventional and unconventional educational column stability problems".
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Journal of Applied Mathematics and Mechanics, also known as Zeitschrift fĂĽr Angewandte Mathematik und Mechanik or ZAMM, during years 2018/19.
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Elishakoff, I. “J.P. Den Hartog about S.P. Timoshenko: fifty years later”, Mathematics and Mechanics of Solids, Vol. 24(5),1340-1348, 2019.
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Elishakoff, I., “Stepan Prokofievich Timoshenko and America”, ZAMM: Zeitschrift für angewandte Mathematik und Mechanik, Vol. 99(3), 2019.
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Elishakoff I., “Who developed the so-called Timoshenko beam theory?”, Mathematics and Mechanics of Solids, Vol. 25(1), 97-116, 2020.
1011: 996: 981: 951: 906: 846: 831: 691: 676: 661: 646: 631: 616: 571: 392: 236: 167: 52: 38: 454:. He is a figure in the area of mechanics. He has made several contributions in the areas of random vibrations, solid mechanics of 1159:, Elishakoff has written on solving quadratic equations without resorting to quadratic formula. He also writes educational papers 446:
is an Israeli-American engineer who is Distinguished Research Professor in the Ocean and Mechanical Engineering Department in the
1519:"Response to Stephen Colbert: Spicing up the Exposition of Differential Equations via Engaging with Relevant History of Algebra" 759:
Solution Manual to Accompany Probabilistic Methods in the Theory of Structures: Problems with Complete, Worked Through Solutions
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Elishakoff, Isaac (2010). "An interesting material that appears to fit possibly all future mechanical vibration textbooks".
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Elishakoff, Isaac (2024). ""IKEA Effect" and project- based instruction in Intermediate Strength of Materials course".
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in 2016.; established in 1930, it is one of the society awards with the longest history. In 2019 he was awarded the
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Probabilistic Methods in the Theory of Structures: Random Strength of Materials, Random Vibration, and Buckling
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Elishakoff, Isaac (2004). "Material that ought to find its place in future strength of materials textbooks".
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Dramatic Effect of Cross-Correlations in Random Vibrations of Discrete Systems, Beams, Plates, and Shells
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Elishakoff, Isaac (2023). "Was Stephen Timoshenko Right about the Jewish Scientists in Germany?"".
514:(“For seminal contributions to the theoretical and applied mechanics”) since 2010, a Member of the 451: 431: 458:, semi-inverse problems of vibrations and stability, functionally graded material structures, and 211: 1581: 1540: 1213:"Member of the Editorial Board of the International Journal of Structural Stability and Dynamics" 492:
in 1985/86 and Henry J. Massman Jr. Visiting Chair Professor, at the same university in 1986/87.
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Eigenvalues of Inhomogeneous Structures: Unusual Closed-Form Solutions of Semi-Inverse Problems
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Elishakoff, Isaac; JN, Reddy (2021). "Quadratic equations without quadratic formula".
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I. Elishakoff, Johann Arbocz, Charles D. Babcock, Jr. and Avinoam Libai, (editors),
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Carbon Nanotubes and Nano Sensors: Vibrations, Buckling, and Ballistic Impact
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Refined Dynamical Theories of Beams, Plates and Shels and their Applications
332: 303: 731:, World Scientific/Imperial College Press, Singapore, 2014; pp. 333, 1471: 1457: 1443: 299: 871:, Elsevier Applied Science Publishers, London, 1988, XX + pp. 375; 774:
Handbook on Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories
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The Blaise Pascal Medal in Engineering from European Academy of Sciences
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Elishakoff was the Frank M. Freimann Visiting Chair Professor, at the
626:, Elsevier Science Publishers, Amsterdam, 1994, VIII + pp. 296; 596:, Elsevier Science Publishers, Amsterdam, 1990, XVII + pp. 221; 321: 317: 746:, World Scientific/Imperial College Press, Singapore; pp. 323, 624:
Probabilistic and Convex Modeling of Acoustically Excited Structures
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International Journal of Mechanical Engineering Education, in Press
1560:"Differential Equations of Love and Love of Differential Equations" 856:, Elsevier Science Publishers, Amsterdam, 1988, XX + pp. 449; 826:, Elsevier Science Publishers, Amsterdam, 1986, XX + pp. 565; 607:
Gabriel Cederbaum, I. Elishakoff, Jacob Aboudi and Liviu Librescu,
566:, Dover Publications, Mineola, New York, 1999, XVI + pp. 492; 1495:"In Response to Stephen Colbert, FAU Professor Says 'Spice it Up'" 869:
Stochastic Structural Dynamics‑Progress in Theory and Applications
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Optimization and Anti-Optimization of Structures under Uncertainty
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Fellows of the American Institute of Aeronautics and Astronautics
671:, Kluwer Academic Publishers, Dordrecht, 2004, X + pp. 295; 377:, PACA (FAU President's Award for Career Achievement, 2023), U.S. 1340:"Seminar of Prof. Elishakoff in the Sapienza University of Rome" 897:
Fabio Casciati, I. Elishakoff, and J. Brian Roberts, (editors),
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T. Ariaratnam, Gerhart Schuëller, and I. Elishakoff, (editors),
798:, Taylor & Francis, Boca Raton, Hb: 978-1-032-20930-1, 2022. 791:, Springer, Nature, Switzerland, ISBN 978---3-030-40394-2, 2020. 519: 500: 360: 1723:
Technische Mechanik - European Journal of Engineering Mechanics
1289:"Visiting Freimann professor of University of Notre Dame 1986" 1272:"Visiting Freimann professor of University of Notre Dame 1985" 901:, Elsevier Science Publishers, Amsterdam, 1990, pp. 386; 729:
Resolution of Twentieth Century Conundrum in Elastic Stability
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from the article and its talk page, especially if potentially
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Stochastic Structural Dynamics 1‑New Theoretical Developments
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Large Variation Finite Element Method for Stochastic Problems
812:, Berlin, Boston, De Gruyter, ISBN 978-311-135-42-17, 2024 . 1677:
International Journal of Structural Stability and Dynamics
1472:"Modern Trends in Structural and Solid Mechanics 3 - ISTE" 1458:"Modern Trends in Structural and Solid Mechanics 2 - ISTE" 1444:"Modern Trends in Structural and Solid Mechanics 1 - ISTE" 912:
Ahmed K. Noor, I. Elishakoff and Greg Hulbert, (editors),
701:, Imperial College Press, London, 2010, XV+ pp. 402; 16:
Georgian Professor in the Ocean and Mechanical Engineering
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International Journal of Mechanical Engineering Education
1354:"Foreign Member of Georgian National Academy of Sciences" 1143:{\displaystyle x={\frac {-b\pm {\sqrt {b^{2}-4ac}}}{2a}}} 639:
Non‑Classical Problems in the Theory of Elastic Stability
551:, Wiley‑Interscience, New York, 1983, II + pp. 489; 882:
Chuh Mei, Howard F. Wolfe and I. Elishakoff, (editors),
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Random Vibration and Reliability of Composite Structures
1078:“Let’s try a little experiment. Look at this equation: 641:, Cambridge University Press, 2001, XVI +pp. 336; 203: 1380:"Member of the European Academy of Sciences and Arts" 1084: 841:, Springer Verlag, Berlin, 1987, XII + pp. 436; 987:
Alexander P. Seyranian and I. Elishakoff (editors),
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Nonlinear Structural Systems under Random Conditions
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Mechanics of Functionally Graded Material Structures
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Stochastic Structural Dynamics 2 ‑ New Applications
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Symbolic Computations and Their Impact on Mechanics
805:,Springer Nature Switzerland, ISBN 3031404181,2023. 686:, CRC Press, Boca Raton, 2005, XIV + pp. 729; 611:, Technomic, Lancaster, 1992, XIII + pp. 191; 424: 398: 388: 351: 327: 309: 295: 267: 251: 1142: 1057:Passion for Teaching: Response to Stephen Colbert 1004:Mechanical Vibration: Where Do We Stand, Springer 916:, ASME Press, New York, 1990, XV + pp. 376; 796:Philosophies of Structural Safety and Reliability 594:Convex Models of Uncertainty in Applied Mechanics 549:Probabilistic Methods in the Theory of Structures 669:Safety Factors and Reliability: Friends or Foes? 637:Elishakoff, Yiwei Li and James H. Starnes, Jr., 1040:Modern Trends in Structural and Solid Mechanics 961:, Springer, Berlin, 1991, XIII + pp. 351; 946:, Springer, Berlin, 1991, XIII + pp. 346; 931:, ASME Press, New York, 1990, V + pp. 99; 886:, ASME Press, New York, 1989, V + pp. 73; 824:Random Vibration‑Status and Recent Developments 1620:International Journal of Engineering Education 1042:, in honor of Isaac Elishakoff, with volumes: 991:, Springer, Vienna, 2002, III + pp. 394, 976:, Springer, Vienna, 1999, VII + pp. 393, 884:Vibration and Behavior of Composite Structures 822:I. Elishakoff and Richard H. Lyon, (editors), 716:, ISTE-Wiley, London, 2012, XIII+pp. 421; 837:I. Elishakoff and Horst Irretier, (editors), 803:111 Problems in Division from Ahmes to Aumann 742:I. Elishakoff, D. Pentaras and C. Gentilini, 8: 1021:, Springer, Vienna, 2012, II+ pp. 356, 854:Buckling of Structures‑Theory and Experiment 1639:Journal of Mechanical Engineering Education 622:I. Elishakoff, Yukweng Lin and Liping Zhu, 343:; Functionally graded material structures; 53:Learn how and when to remove these messages 259: 248: 97:about living persons that is unsourced or 1575: 1534: 1323:"Member of American Academy of Mechanics" 1109: 1103: 1091: 1083: 403:Technion – Israel Institute of Technology 237:Learn how and when to remove this message 168:Learn how and when to remove this message 1423:"Worcester Reed Warner medal recipients" 957:I. Elishakoff and Y. K. Lin, (editors), 927:David Hui and I. Elishakoff, (editors), 531:American Society of Mechanical Engineers 1176: 989:Modern Problems of Structural Stability 942:Y.K. Lin and I. Elishakoff, (editors), 810:Multifaceted Uncertainty Quantification 1017:I. Elishakoff and C. Soize (editors), 974:Whys and Hows in Uncertainty Modeling 516:European Academy of Sciences and Arts 512:Georgian National Academy of Sciences 7: 1895:Florida Atlantic University faculty 1185:"Professor Isaac Elishakoff in FAU" 1052:Vol. 3 Non-Deterministic Mechanics. 1006:, Vienna, 2007, IV + pp. 488, 1034:Volumes Dedicated to I. Elishakoff 592:Yakov Ben‑Haim and I. Elishakoff, 564:Probabilistic Theory of Structures 314:Moscow Power Engineering Institute 14: 1564:Journal of Humanistic Mathematics 1523:Journal of Humanistic Mathematics 929:Impact and Buckling of Structures 697:I. Elishakoff and Makoto Ohsaki, 393:Theoretical and applied mechanics 34:This article has multiple issues. 184: 64: 23: 1601:For the Learning of Mathematics 761:, World Scientific, Singapore, 581:, World Scientific, Singapore, 42:or discuss these issues on the 1068:I Am America (And So Can You!) 776:, World Scientific, Singapore, 510:He is a Foreign Member of the 407:Delft University of Technology 1: 1900:American mechanical engineers 1046:Vol. 1 Statics and Stability, 794:V. Raizer and I. Elishakoff, 652:Elishakoff and Yongjian Ren, 1742:Optimization and Engineering 1704:Vietnam Journal of Mechanics 371:Batsheva de Rothschild Prize 75:biography of a living person 1920:Jews from Georgia (country) 1019:Non-Deterministic Mechanics 527:Worcester Reed Warner Medal 497:Sapienza University of Rome 448:Florida Atlantic University 419:Florida Atlantic University 364:Worcester Reed Warner Medal 102:must be removed immediately 1936: 1915:21st-century American Jews 1885:20th-century American Jews 1577:10.5642/jhummath.201902.15 1558:Elishakoff, Isaac (2019). 1536:10.5642/jhummath.202101.16 1517:Elishakoff, Isaac (2021). 193:This biographical article 1765:10.1177/03064190241254033 1689:10.1142/S0219455406001861 1241:"ICOSSAR 2017 Conference" 518:since 2011 and a Fellow, 437: 415:Naval Postgraduate School 381: 258: 1002:I. Elishakoff (editor), 972:I. Elishakoff (editor), 801:I.Elishakoff,Fair Share: 589:, 2017. (Third Edition). 486:University of Notre Dame 411:University of Notre Dame 1061:Here is a quote on the 1199:"Publication Timeline" 1144: 347:; Uncertainty modeling 89:Please help by adding 1145: 507:in 2005, 2010, 2017. 206:by revising it to be 1082: 95:Contentious material 1880:People from Kutaisi 1386:on 9 September 2017 1151:read it. Useless.” 452:Boca Raton, Florida 432:Vladimir V. Bolotin 1360:on 28 October 2018 1163:History of Science 1140: 1049:Vol. 2 Vibrations, 535:William B. Johnson 456:composite material 117:"Isaac Elishakoff" 1138: 1127: 1063:quadratic formula 1027:978-3-7091-1305-9 967:978-3-642-84534-5 782:978-981-3236-51-6 767:978-981-3201-10-1 752:978-981-4656-58-0 737:978-981-4583-53-4 722:978-1-84821-345-6 707:978-1-84816-477-2 587:978-981-3149-84-7 574:(Second Edition). 557:978-981-3149-84-7 441: 440: 383:Scientific career 247: 246: 239: 229: 228: 178: 177: 170: 152: 78:needs additional 57: 1927: 1863: 1862: 1850: 1844: 1840: 1834: 1831: 1825: 1822: 1816: 1812: 1806: 1803: 1797: 1794: 1788: 1785: 1779: 1775: 1769: 1768: 1752: 1746: 1745: 1737: 1731: 1730: 1718: 1712: 1711: 1699: 1693: 1692: 1672: 1666: 1665: 1653: 1647: 1646: 1634: 1628: 1627: 1615: 1609: 1608: 1596: 1590: 1589: 1579: 1555: 1549: 1548: 1538: 1514: 1508: 1505: 1499: 1498: 1491: 1485: 1482: 1476: 1475: 1468: 1462: 1461: 1454: 1448: 1447: 1440: 1434: 1433: 1431: 1429: 1419: 1413: 1412: 1410: 1406:"Fellow of ASME" 1402: 1396: 1395: 1393: 1391: 1382:. 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Archived from 1350: 1344: 1343: 1336: 1330: 1329: 1327: 1319: 1313: 1312: 1310: 1302: 1296: 1295: 1293: 1285: 1279: 1278: 1276: 1268: 1262: 1261: 1254: 1248: 1247: 1245: 1237: 1231: 1230: 1223: 1217: 1216: 1209: 1203: 1202: 1195: 1189: 1188: 1181: 1149: 1147: 1146: 1141: 1139: 1137: 1129: 1128: 1114: 1113: 1104: 1092: 525:He received the 444:Isaac Elishakoff 426:Doctoral advisor 374: 368: 358: 337:Random Vibration 281: 277: 275: 263: 253:Isaac Elishakoff 249: 242: 235: 224: 221: 215: 188: 187: 180: 173: 166: 162: 159: 153: 151: 110: 91:reliable sources 68: 67: 60: 49: 27: 26: 19: 1935: 1934: 1930: 1929: 1928: 1926: 1925: 1924: 1870: 1869: 1866: 1852: 1851: 1847: 1841: 1837: 1832: 1828: 1823: 1819: 1813: 1809: 1804: 1800: 1795: 1791: 1786: 1782: 1776: 1772: 1754: 1753: 1749: 1739: 1738: 1734: 1720: 1719: 1715: 1701: 1700: 1696: 1674: 1673: 1669: 1655: 1654: 1650: 1636: 1635: 1631: 1617: 1616: 1612: 1598: 1597: 1593: 1557: 1556: 1552: 1516: 1515: 1511: 1506: 1502: 1493: 1492: 1488: 1483: 1479: 1470: 1469: 1465: 1456: 1455: 1451: 1442: 1441: 1437: 1427: 1425: 1421: 1420: 1416: 1408: 1404: 1403: 1399: 1389: 1387: 1378: 1377: 1373: 1363: 1361: 1352: 1351: 1347: 1338: 1337: 1333: 1325: 1321: 1320: 1316: 1308: 1304: 1303: 1299: 1291: 1287: 1286: 1282: 1274: 1270: 1269: 1265: 1256: 1255: 1251: 1243: 1239: 1238: 1234: 1225: 1224: 1220: 1211: 1210: 1206: 1197: 1196: 1192: 1183: 1182: 1178: 1174: 1165: 1130: 1105: 1093: 1080: 1079: 1073:Stephen Colbert 1059: 1036: 819: 808:Elishakoff I., 787:I. Elishakoff, 772:I. Elishakoff, 757:I. Elishakoff, 727:I. Elishakoff, 682:I. Elishakoff, 667:I. Elishakoff, 577:I. Elishakoff, 547:I. Elishakoff, 544: 482: 376: 372: 370: 366: 356: 310:Alma mater 302: 291: 282: 279: 278:9 February 1944 273: 271: 254: 243: 232: 231: 230: 225: 219: 216: 204:help improve it 201: 189: 185: 174: 163: 157: 154: 111: 109: 88: 69: 65: 28: 24: 17: 12: 11: 5: 1933: 1931: 1923: 1922: 1917: 1912: 1907: 1902: 1897: 1892: 1887: 1882: 1872: 1871: 1865: 1864: 1845: 1835: 1826: 1817: 1807: 1798: 1789: 1780: 1770: 1747: 1732: 1713: 1694: 1683:(1): 139–151. 1667: 1648: 1629: 1610: 1591: 1570:(2): 226–246. 1550: 1509: 1500: 1486: 1477: 1463: 1449: 1435: 1414: 1397: 1371: 1345: 1331: 1314: 1297: 1280: 1263: 1249: 1232: 1218: 1204: 1190: 1175: 1173: 1170: 1164: 1161: 1136: 1133: 1126: 1123: 1120: 1117: 1112: 1108: 1102: 1099: 1096: 1090: 1087: 1058: 1055: 1054: 1053: 1050: 1047: 1035: 1032: 1031: 1030: 1015: 1000: 985: 970: 955: 940: 937:978-0791805893 925: 922:978-0791805985 910: 895: 892:978-0791803974 880: 877:978-1851662111 865: 862:978-0444704740 850: 835: 818: 817:Edited volumes 815: 814: 813: 806: 799: 792: 785: 770: 755: 740: 725: 710: 695: 680: 665: 650: 635: 620: 605: 602:978-0444816245 590: 575: 562:Elishakoff I, 560: 543: 540: 481: 478: 460:nanotechnology 439: 438: 435: 434: 428: 422: 421: 400: 396: 395: 390: 386: 385: 379: 378: 353: 349: 348: 345:Nanotechnology 329: 328:Known for 325: 324: 311: 307: 306: 297: 293: 292: 283: 269: 265: 264: 256: 255: 252: 245: 244: 227: 226: 192: 190: 183: 176: 175: 99:poorly sourced 72: 70: 63: 58: 32: 31: 29: 22: 15: 13: 10: 9: 6: 4: 3: 2: 1932: 1921: 1918: 1916: 1913: 1911: 1908: 1906: 1905:Living people 1903: 1901: 1898: 1896: 1893: 1891: 1888: 1886: 1883: 1881: 1878: 1877: 1875: 1868: 1860: 1856: 1849: 1846: 1839: 1836: 1830: 1827: 1821: 1818: 1811: 1808: 1802: 1799: 1793: 1790: 1784: 1781: 1774: 1771: 1766: 1762: 1758: 1751: 1748: 1743: 1736: 1733: 1728: 1724: 1717: 1714: 1710:(4): 253–258. 1709: 1705: 1698: 1695: 1690: 1686: 1682: 1678: 1671: 1668: 1664:(5): 886–890. 1663: 1659: 1652: 1649: 1645:(3): 187–194. 1644: 1640: 1633: 1630: 1625: 1621: 1614: 1611: 1606: 1602: 1595: 1592: 1587: 1583: 1578: 1573: 1569: 1565: 1561: 1554: 1551: 1546: 1542: 1537: 1532: 1528: 1524: 1520: 1513: 1510: 1504: 1501: 1496: 1490: 1487: 1481: 1478: 1473: 1467: 1464: 1459: 1453: 1450: 1445: 1439: 1436: 1424: 1418: 1415: 1407: 1401: 1398: 1385: 1381: 1375: 1372: 1359: 1355: 1349: 1346: 1342:. 2 May 2017. 1341: 1335: 1332: 1324: 1318: 1315: 1307: 1301: 1298: 1290: 1284: 1281: 1273: 1267: 1264: 1259: 1253: 1250: 1242: 1236: 1233: 1228: 1222: 1219: 1214: 1208: 1205: 1200: 1194: 1191: 1186: 1180: 1177: 1171: 1169: 1162: 1160: 1158: 1152: 1134: 1131: 1124: 1121: 1118: 1115: 1110: 1106: 1100: 1097: 1094: 1088: 1085: 1076: 1074: 1070: 1069: 1064: 1056: 1051: 1048: 1045: 1044: 1043: 1041: 1033: 1028: 1024: 1020: 1016: 1013: 1012:3-211-68586-3 1009: 1005: 1001: 998: 997:3-211-83697-7 994: 990: 986: 983: 982:3-211-83155-X 979: 975: 971: 968: 964: 960: 956: 953: 952:9783642845314 949: 945: 941: 938: 934: 930: 926: 923: 919: 915: 911: 908: 907:9780444888037 904: 900: 896: 893: 889: 885: 881: 878: 874: 870: 866: 863: 859: 855: 851: 848: 847:9783540175735 844: 840: 836: 833: 832:9780444426659 829: 825: 821: 820: 816: 811: 807: 804: 800: 797: 793: 790: 786: 783: 779: 775: 771: 768: 764: 760: 756: 753: 749: 745: 741: 738: 734: 730: 726: 723: 719: 715: 711: 708: 704: 700: 696: 693: 692:0-8493-2892-6 689: 685: 681: 678: 677:1-4020-1779-0 674: 670: 666: 663: 662:0-19-852631-8 659: 655: 651: 648: 647:0-521-78210-4 644: 640: 636: 633: 632:9781483290355 629: 625: 621: 618: 617:9780877628651 614: 610: 606: 603: 599: 595: 591: 588: 584: 580: 576: 573: 572:0-486-40691-1 569: 565: 561: 558: 554: 550: 546: 545: 541: 539: 536: 532: 528: 523: 521: 517: 513: 508: 506: 502: 498: 493: 491: 490:United States 487: 479: 477: 473: 469: 466: 463: 461: 457: 453: 449: 445: 436: 433: 429: 427: 423: 420: 416: 412: 408: 404: 401: 397: 394: 391: 387: 384: 380: 365: 362: 354: 350: 346: 342: 338: 334: 330: 326: 323: 319: 315: 312: 308: 305: 301: 298: 294: 290: 286: 280:(age 80) 270: 266: 262: 257: 250: 241: 238: 223: 213: 209: 205: 199: 198: 197:like a rĂ©sumĂ© 191: 182: 181: 172: 169: 161: 150: 147: 143: 140: 136: 133: 129: 126: 122: 119: â€“  118: 114: 113:Find sources: 107: 103: 100: 96: 92: 86: 85: 81: 76: 71: 62: 61: 56: 54: 47: 46: 41: 40: 35: 30: 21: 20: 1867: 1858: 1854: 1848: 1838: 1829: 1820: 1810: 1801: 1792: 1783: 1773: 1756: 1750: 1741: 1735: 1726: 1722: 1716: 1707: 1703: 1697: 1680: 1676: 1670: 1661: 1657: 1651: 1642: 1638: 1632: 1623: 1619: 1613: 1604: 1600: 1594: 1567: 1563: 1553: 1526: 1522: 1512: 1503: 1489: 1480: 1466: 1452: 1438: 1426:. 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Reddy 341:Reliability 331:Stability; 296:Nationality 195:is written 1874:Categories 1626:: 204–216. 1390:20 October 1364:20 October 1172:References 274:1944-02-09 128:newspapers 39:improve it 1586:199533993 1545:234140477 1428:3 October 1116:− 1101:± 1095:− 529:from the 375:, Israel 333:Vibration 80:citations 45:talk page 304:American 106:libelous 1744:: 1–12. 784:, 2019. 769:, 2018. 754:, 2015. 300:Israeli 289:Georgia 285:Kutaisi 208:neutral 202:Please 142:scholar 1584:  1543:  1025:  1010:  995:  980:  965:  950:  935:  920:  905:  890:  875:  860:  845:  830:  780:  765:  750:  735:  720:  705:  690:  675:  660:  645:  630:  615:  600:  585:  570:  555:  480:Career 389:Fields 373:(1973) 367:(2016) 357:(2021) 352:Awards 322:Russia 318:Moscow 144:  137:  130:  123:  115:  1843:2021. 1815:2020. 1778:2015. 1582:S2CID 1541:S2CID 1409:(PDF) 1326:(PDF) 1309:(PDF) 1292:(PDF) 1275:(PDF) 1244:(PDF) 1065:from 542:Books 505:Italy 149:JSTOR 135:books 73:This 1430:2017 1392:2017 1366:2017 1023:ISBN 1008:ISBN 993:ISBN 978:ISBN 963:ISBN 948:ISBN 933:ISBN 918:ISBN 903:ISBN 888:ISBN 873:ISBN 858:ISBN 843:ISBN 828:ISBN 778:ISBN 763:ISBN 748:ISBN 733:ISBN 718:ISBN 703:ISBN 688:ISBN 673:ISBN 658:ISBN 643:ISBN 628:ISBN 613:ISBN 598:ISBN 583:ISBN 568:ISBN 553:ISBN 520:ASME 501:Rome 361:ASME 268:Born 210:and 121:news 82:for 1859:103 1761:doi 1685:doi 1572:doi 1531:doi 1071:by 1876:: 1857:. 1759:. 1727:42 1725:. 1708:30 1706:. 1679:. 1662:20 1660:. 1643:28 1641:. 1624:14 1622:. 1605:41 1603:. 1580:. 1566:. 1562:. 1539:. 1527:11 1525:. 1521:. 1075:: 503:, 499:, 488:, 462:. 450:, 417:, 413:, 409:, 405:, 369:, 359:; 339:; 335:; 320:, 316:, 287:, 276:) 93:. 48:. 1861:. 1767:. 1763:: 1691:. 1687:: 1681:6 1588:. 1574:: 1568:9 1547:. 1533:: 1497:. 1474:. 1460:. 1446:. 1432:. 1411:. 1394:. 1368:. 1328:. 1311:. 1294:. 1277:. 1260:. 1246:. 1229:. 1215:. 1201:. 1187:. 1135:a 1132:2 1125:c 1122:a 1119:4 1111:2 1107:b 1098:b 1089:= 1086:x 1029:. 1014:. 999:. 984:. 969:. 954:. 939:. 924:. 909:. 894:. 879:. 864:. 849:. 834:. 739:. 724:. 709:. 694:. 679:. 664:. 649:. 634:. 619:. 604:. 559:. 272:( 240:) 234:( 222:) 218:( 214:. 200:. 171:) 165:( 160:) 156:( 146:· 139:· 132:· 125:· 108:. 87:. 55:) 51:(

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