Modified Nonlinear 3D Euler Bernoulli Beam Theory

Abstract

Using the fully-enhanced variation of elastic potential energy the secondary extra elastic terms have been revealed in the dynamic model of a nonlinear 3D Euler-Bernoulli beam undergoing negligible elastic orientation. They have been sensed neither in the nonlinear 3D Euler-Bernoulli beam nor in the enhanced nonlinear 3D Euler-Bernoulli beam. They complete the issue of the new elastic terms of the enhanced nonlinear 3D Euler-Bernoulli beam. The whole of the extra elastic terms have been shown in the motion equations and the boundary conditions of a fully-enhanced nonlinear 3D Euler-Bernoulli beam undergoing negligible elastic orientation.