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2 results

  • Chapter 9 - Plutarch and Classical Greece

  • Edited by Frances B. Titchener, Utah State University, Alexei V. Zadorojnyi, University of Liverpool
  • Book:
    The Cambridge Companion to Plutarch
    Published online:
    29 June 2023
    Print publication:
    13 July 2023, pp 176-196

  • Summary

    The classical past, for Plutarch, offered a huge reservoir of history, art, and traditions, from which he drew examples of virtue for inspiration and encouragement. He expected that his readers should do the same. But he also insisted that the examples that we draw from that reservoir must be carefully strained and tested, using investigative acumen and skeptical discussion and evaluation, to remove the inevitable debris, the inescapable outcome of human ambition, competition, greed, and desire. Internecine war and personal rivalries polluted those great times even as they did his own day, and still do the present world. The best qualities of the classical past could be reacquired only by the constant exercise of prudent reason and controlled passion. Plutarch dared his readers to accept this challenge.

  • An Asymptotic Solution for Non-Linear Behavior of Imperfect Shallow Spherical Shells

  • G.H. Nie, J.C. Yao
  • Journal:
    Journal of Mechanics / Volume 18 / Issue 3 / September 2002
    Published online by Cambridge University Press:
    05 May 2011, pp. 139-144
    Print publication:
    September 2002

  • This paper deals with non-linear behavior of an elastically restrained shallow spherical shell with imperfections and subjected to uniform normal load by the asymptotic iteration method. An asymptotic relation between the external load and central transverse displacement (deflection) of the structure incorporating the effects of the characteristic geometrical parameter, imperfection factor and edge-restraint coefficients is formulated. The corresponding solutions resulting from the use of the second and third iteration processes are compared with each other and available data. The numerical calculations show that the second iteration is adequate for the non-linear analysis of the structure. The effects of geometrical imperfections and boundary constraint coefficients on buckling of the structures are presented graphically.