A Newmark-based method for the stability of columns
Based on the well-known Newmark method for the solution of stability problems, a new method for solving strut overall buckling problems, based on the Picard iteration technique for the solution of differential equations, is developed. The method is easily programmed, and has the advantages of simplicity and speed of convergence. Five case studies of elastic struts are examined, and the results are shown to be very accurate with only a small number of iterations. The method may easily be extended to treat material and geometric nonlinearity including nonprismatic members and linear and nonlinear spring restraints that would be encountered in frames.
stability columns newmark method buckling