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<p>A semi-analytical expression to determine the vibration power flow in a clamped–clamped (CC) beam of uniform cross section, subjected to a single moving load, is developed in this paper. Rayleigh–Ritz (RR) method, based on single (fundamental) mode assumption, is used to determine the approximate mid-span velocity function of the beam, which in turn is used in the estimation of vibration power. A simple closed-form expression for estimating resonance and cancellation speeds of CC beams traversed by a single point load is proposed. This is for the first time that the speeds of cancellation and maxima of free vibration responses of CC beams are identified and presented. Vibration power responses of CC beams estimated using the present formula are validated using finite element method (FEM) and are compared with those of simply supported (SS) beams. Effects of speed of the moving load, boundary conditions and length of the beam on the maximum vibration power are also investigated. The proposed method and the results are significant as they can be used in the area of energy harvesting from beams under moving loads.</p>

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Vibration power flow-based investigation of resonances and cancellations in clamped–clamped beams under a single moving load

  • 期刊论文

  • 发表日期：

    2025年10月3日

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  • Priyesh Padmanabhan,
  • C. P. Sudheesh Kumar

摘要

A semi-analytical expression to determine the vibration power flow in a clamped–clamped (CC) beam of uniform cross section, subjected to a single moving load, is developed in this paper. Rayleigh–Ritz (RR) method, based on single (fundamental) mode assumption, is used to determine the approximate mid-span velocity function of the beam, which in turn is used in the estimation of vibration power. A simple closed-form expression for estimating resonance and cancellation speeds of CC beams traversed by a single point load is proposed. This is for the first time that the speeds of cancellation and maxima of free vibration responses of CC beams are identified and presented. Vibration power responses of CC beams estimated using the present formula are validated using finite element method (FEM) and are compared with those of simply supported (SS) beams. Effects of speed of the moving load, boundary conditions and length of the beam on the maximum vibration power are also investigated. The proposed method and the results are significant as they can be used in the area of energy harvesting from beams under moving loads.