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
  • [31] CLOSED-FORM SOLUTION FOR THE INDUCTION-HEATING PROBLEM WITH ROTATIONAL SYMMETRY
    HUSSEIN, AM
    BIRINGER, PP
    JOURNAL OF APPLIED PHYSICS, 1992, 72 (01) : 265 - 269
  • [32] AN EXACT, CLOSED-FORM, ANALYTICAL SOLUTION TO THE GENERAL-SYNTHESIS PROBLEM
    STONE, WR
    PROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS, 1981, 294 : 90 - 95
  • [33] Closed-Form Solution for Lost-In-Space Visual Navigation Problem
    Tanygin, Sergei
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2014, 37 (06) : 1754 - 1766
  • [34] Closed-form solution of optimal control problem of a fractional order system
    Chiranjeevi, Tirumalasetty
    Biswas, Raj Kumar
    JOURNAL OF KING SAUD UNIVERSITY SCIENCE, 2019, 31 (04) : 1042 - 1047
  • [35] Closed-Form Solution and Sparsity Path for Inverse Covariance Estimation Problem
    Fattahi, Salar
    Sojoudi, Somayeh
    2018 ANNUAL AMERICAN CONTROL CONFERENCE (ACC), 2018, : 410 - 417
  • [36] A Simple Closed-Form Expression Solution
    Edwards, Steve
    FIBONACCI QUARTERLY, 2021, 59 (04): : 370 - 370
  • [37] A CLOSED-FORM SOLUTION TO BLIND EQUALIZATION
    JELONNEK, B
    KAMMEYER, KD
    SIGNAL PROCESSING, 1994, 36 (03) : 251 - 259
  • [38] A CLOSED-FORM SOLUTION TO HZE PROPAGATION
    WILSON, JW
    TOWNSEND, LW
    LAMKIN, SL
    GANAPOL, BD
    RADIATION RESEARCH, 1990, 122 (03) : 223 - 228
  • [39] A closed-form solution for paraperspective reconstruction
    Grossmann, E
    Victor, JS
    15TH INTERNATIONAL CONFERENCE ON PATTERN RECOGNITION, VOL 1, PROCEEDINGS: COMPUTER VISION AND IMAGE ANALYSIS, 2000, : 864 - 867
  • [40] A closed-form solution for thermal stresses of structures using generalized variational principles
    Tan, Zou-Qing
    Jiang, Xue-Dong
    He, Yun-Song
    Ban, Shu-Hao
    Xi, Ren-Qiang
    Chen, Yang-Chun
    JOURNAL OF THERMAL STRESSES, 2018, 41 (06) : 748 - 757
12345