The aim of this paper is to deal with the often-occurring mistake in the implementation of the Galerkin method, and its correction. It is shown that the flexural rigidity should be represented as a discontinuous function incorporating a unit step function. This leads to occurrence of the Dirac’s delta function and its derivatives when substituting the flexural rigidity into the governing differential equation.


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    Title :

    Rigorous Implementation of the Galerkin Method for Uniform and Stepped Columns


    Contributors:

    Published in:

    AIAA Journal ; 58 , 5 ; 2261-2268


    Publication date :

    2020-03-09


    Size :

    8 pages




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English