International Journal of Mathematics and Mathematical Sciences
Volume 11 (1988), Issue 1, Pages 121-128
doi:10.1155/S0161171288000171
Computation of displacements for nonlinear elastic beam models using monotone iterations
Philip Korman
Department of Mathematical Sciences, University of Cincinnati, Cincinnati 45221, Ohio, USA
Abstract
We study displacement of a uniform elastic beam subject to various physically important boundary conditions. Using monotone methods, we discuss stability and instability of solutions. We present computations, which suggest efficiency of monotone methods for fourth order boundary value problems.