BUBNOV-GALERKIN METHOD FOR THE ELASTIC BUCKLING OF EULER COLUMNS
DOI:
https://doi.org/10.11113/mjce.v30.16033Keywords:
Bubnov-Galerkin method, elastic buckling, Euler column buckling, buckling loadAbstract
In this work the Bubnov-Galerkin variational method was applied to determine the critical buckling load for the elastic buckling of columns with fixed-pinned ends. Coordinate shape functions for Euler column with fixed-pinned ends are used in the Bubnov-Galerkin variational integral equation to obtain the unknown parameters. One parameter and two parameter shape functions were used. In each case, the Bubnov-Galerkin method reduced the boundary value problem to an algebraic eigen-value problem. The solution of the characteristic homogeneous equations yielded the buckling loads. One parameter coordinate shape function yielded relative error of 4% compared with the exact solution. Two parameter coordinate shape function gave a relative error of 0.77%, which is negligible.References
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