A closed-form solution for the generalized Euler problem

被引：29
|
作者：
Elishakoff, I [1 ]
机构：
[1] Florida Atlantic Univ, Dept Mech Engn, Boca Raton, FL 33431 USA
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2000年 / 456卷 / 2002期
关键词：
buckling; columns; inhomogeneity; closed-form solution;
D O I：
10.1098/rspa.2000.0618
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Euler's problem, that of buckling of a uniform column under its own weight, is generalized to include columns of variable stiffness. It is posed as an inverse problem: namely, determine the variation of the stiffness along the axis of the column so that the column has the prescribed buckling mode, given as a simple polynomial function.
引用
收藏
页码：2409 / 2417
页数：9
相关论文
共 50 条
  • [21] A Closed-Form Solution to Stollery's Problem with Damage in Utility
    Bazhanov, Andrei V.
    COMPUTATIONAL ECONOMICS, 2012, 39 (04) : 365 - 386
  • [22] A CLOSED-FORM JACKKNIFE SOLUTION FOR THE BEHRENS-FISHER PROBLEM
    SCHEMPER, M
    BIOMETRICAL JOURNAL, 1989, 31 (08) : 931 - 939
  • [23] Closed-form solution for SPUDTs
    Danicki, Eugene J.
    Hickernell, Fred S.
    Mateescu, Irina
    2005 IEEE INTERNATIONAL FREQUENCY CONTROL SYMPOSIUM AND EXHIBITION, 2005, : 152 - 155
  • [24] Closed-form solution of a class of generalized cubic B-splines
    Huang, Yiting
    Zhu, Yuanpeng
    COMPUTATIONAL & APPLIED MATHEMATICS, 2024, 43 (05):
  • [25] EXACT CLOSED-FORM SOLUTION OF THE GENERALIZED DEBYE-SMOLUCHOWSKI EQUATION
    FLANNERY, MR
    PHYSICAL REVIEW LETTERS, 1981, 47 (03) : 163 - 166
  • [26] GENERALIZED THERMOELASTICITY - CLOSED-FORM SOLUTIONS
    HETNARSKI, RB
    IGNACZAK, J
    JOURNAL OF THERMAL STRESSES, 1993, 16 (04) : 473 - 498
  • [27] Closed-form solution for non-uniform Euler-Bernoulli beams and frames
    Molina-Villegas, Juan Camilo
    Ortega, Jorge Eliecer Ballesteros
    Martinez, Giovanni Martinez
    ENGINEERING STRUCTURES, 2023, 292
  • [28] A CLOSED-FORM SOLUTION TO A QUADRATIC OPTIMIZATION PROBLEM IN COMPLEX-VARIABLES
    HANNA, MT
    SIMAAN, M
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1985, 47 (04) : 437 - 450
  • [29] Closed-form kinetic parameter estimation solution to the truncated data problem
    Zeng, Gengsheng L.
    Gullberg, Grant T.
    Kadrmas, Dan J.
    PHYSICS IN MEDICINE AND BIOLOGY, 2010, 55 (24): : 7453 - 7468
  • [30] An analytical closed-form solution for multiple line supplier selection problem
    Pearn, W. L.
    Tai, Y. T.
    Tseng, S. C.
    QUALITY TECHNOLOGY AND QUANTITATIVE MANAGEMENT, 2019, 16 (04): : 377 - 388
12345