Modeling of Underconstrained Systems with the Force Method

Abstract

Determination of underconstrained systems using traditional theory may cause a nonconservative solution or even lead to error. The fundamentals of the concept and general formulations for kinematic path are derived such that they can be used for determination of both elastic deformation and change in geometry experienced in underconstrained systems. The condition of orthogonality is used such that the existence of such a space having the property of the general loads orthogonal to geometric displacement is thus proved. Numerical examples in the literature are used to verify the proposed methods. The efficacy of the proposed procedures implemented in engineering application is finally demonstrated under erection simulation.