MODAL ANALYSIS OF BEAM ON ELASTIC FOUNDATION BY THE SPECTRAL ELEMENT METHOD

• Published in: Modelling in Civil Environmental Engineering (Online) no. 1; pp. 1 - 11
• Main Authors: Boudaa, Souad, Khalfallah, Salah, Bilotta, Emilio
• Format: Journal Article
• Language: English
• Published: Bucharest Technical University of Civil Engineering from Bucharest 01.01.2021
• Subjects: Boundary conditions; Dynamic response; Eigenvalues; Elastic foundations; Elastic media; Elastic properties; Elastic restraints; Equations of motion; Euler-Bernoulli beams; Finite element analysis; Mechanical properties; Modal analysis; Partial differential equations; Resonant frequencies; Spectral element method; Springs (elastic); Vibration; Vibration analysis; Vibration mode
• ISSN: 2784-1391

In this investigation, the modal analysis of beam on elastic foundation in frequency domain is investigated. The spectral element method is devoted to study free-vibrations of Euler-Bernoulli beam resting on general elastic restraint at the ends and continuous springs against rotation and translation. So, the partial differential equation of motion is derived and upon solving eigenvalue problem, the natural frequencies are tabulated for the first three modes of vibration. Obtained results are regrouped in (1) the modal analysis of beams on elastic transversal or rotational rigidities of the continuum under foundation, (2) the influence of elastic medium properties on the dynamic response (3), and the influence of non classical boundary conditions. In consequence, various results of above phenomena are described and commented in the corresponding section.