2014/01/14 by S. Amir Mousavi Lajimi, Lajimi, S. Amir Mousavi, G. R. Heppler +2
Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Classical Physics (physics.class-ph) #Composite Structure Analysis and Optimization #Dynamics and Control of Mechanical Systems #FOS: Mathematics #FOS: Physical sciences #Structural Analysis and Optimization #math.AP #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1401.3212
8 pages, 7 figures, Proceedings of the International Conference on Mechanical Engineering and Mechatronics Ottawa, Ontario, Canada, 15-17 August 2012
arxiv created 2014/01/14 · openalex publication_date 2014/01/14 · arxiv updated 2014/01/15 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
An analytical form of the characteristic equation for a vertically mounted cantilever beam with an end rigid body is obtained and solved for the eigenvalues of the structure. The effect of the weight of the structure is taken into consideration by estimating the load as a function of the length of the beam. The mass, rotary inertia and eccentricity of the end rigid body are demonstrated to considerably affect the eigenvalues of the structure.