MATHEMATICAL MODELING OF STRUCTURAL ENGINEERING APPLICATIONS USING DYNAMIC RELAXATION METHOD

The method of dynamic relaxation in its early stages of development was perceived as a numerical finite difference technique. It was first used to analyze structures, then skeletal and cable structures, and plates. The method relies on a discretized continuum in which the mass of the structure is assumed to be concentrated at given points (i.e. nodes) on the surface. The system of concentrated masses oscillates about the equilibrium position under the influence of out of balance forces. With time, it comes to rest under the influence of damping. The iterative scheme reflects a process, in which static equilibrium of the system is achieved by simulating a pseudo dynamic process in time. In its original form, the method makes use of inertia term, damping term and time increment.MATHEMATICAL MODELING OF ENGINEERING APPLICATIONS USING DYNAMIC RELAXATION METHOD.pdf (558.3% u)