2018/05/19 by Bidisha Kundu, Ranjan Ganguli, Kundu, Bidisha +1
Physics and Astronomy · Engineering · #Nonlinear Waves and Solitons #Railway Engineering and Dynamics #Composite Structure Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.1805.07571
We construct the closed form solution of an elastic beam with axial load using Lie symmetry method. A beam with spatially varying physical properties such as mass and second moment of inertia is considered. The governing fourth order partial differential equation with variable coefficients which is not amenable to simple methods of solution, is solved using Lie symmetry. We incorporate boundary conditions and then compare with the numerical solution.