An efficient method for the static deflection analysis of an infinite beam on a nonlinear elastic foundation of one-way spring model

作者：Ahmad Fayyaz; Ullah Malik Zaka; Jang Taek Soo^*; Alaidarous Eman S

来源：Ships and Offshore Structures, 2017, 12(7): 963-970.

DOI：10.1080/17445302.2014.956381

• infinite beam
• nonlinear deflection analysis
• nonlinear elastic foundation
• transformed nonlinear integral equation
• quasilinearisation

An efficient numerical iterative method is constructed for the static deflection of an infinite beam on a nonlinear elastic foundation. The proposed iterative scheme consists of quasilinear method (QLM) and Green's function technique. The QLM translates the nonlinear ordinary differential equation into iterative linear ordinary differential equation. The successive iterations of quasilinear form of ordinary differential equation (ODE) show the quadratic convergence if an initial guess is chosen in the neighbourhood of true solution. The Green's function technique converts the differential operator into an integral operator and the integral operator is approximated by discrete summation which finally gives us an iterative formula for the resulting set of algebraic equations.The numerical validity and efficiency are proved by simulating some nonlinear problems.

• 出版日期2017