Spectral analysis of dynamic response of a thin beam subjected to a varying speed moving mass

• Published in: Journal of mechanical science and technology Vol. 30; no. 7; pp. 3009 - 3017
• Main Authors: Yamchelou, Morteza Tahmasebi, Nouri, Gholamreza
• Format: Journal Article
• Language: English
• Published: Seoul Korean Society of Mechanical Engineers 01.07.2016; Springer Nature B.V; 대한기계학회
• Subjects: Beams (radiation); Computational efficiency; Computing time; Control; Convergence; Deceleration; Design parameters; Dynamic response; Dynamic tests; Dynamical Systems; Engineering; Industrial and Production Engineering; Mass ratios; Mathematical analysis; Mechanical Engineering; Polynomials; Series expansion; Spectra; Vibration; 기계공학; Dynamic response spectrum; Eigenfunction expansion method; Varying speed moving mass; Computational efficiency evaluation; Orthonormal polynomial series expansion method
• ISSN: 1738-494X; 1976-3824
• DOI: 10.1007/s12206-016-0609-4

A parametric survey was conducted to capture the dynamic response of a thin beam subjected to a varying speed moving mass. The existing literature lacks a comprehensive study on the beam dynamic behavior under a varying speed moving mass with arbitrary constant acceleration and mass ratio. The current work represents midpoint response spectra for a thin beam acted upon by a varying speed moving mass for a wide range of design parameters. Findings show that for a given mass ratio, higher response amplitudes are observed in decelerating motion compared to accelerating one. Moreover, increasing the mass ratio of the moving mass generally leads to higher beam dynamic response. Among the methods that can be utilized to calculate beam response, the Eigenfunction expansion method (EFM) and Orthonormal polynomial series expansion method (OPSEM) were used. Then an improvement technique was applied on both aforementioned methods and computational efficiency and convergence rate of all utilized methods was compared.