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Vibration control of an axially loaded composite beam bonded with Piezoelectric actuator and sensor layers on a Winkler–Pasternak foundation and under transverse excitation force based on first-order shear deformation theory

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Abstract

In this paper, active vibration control of a composite beam bonded with piezoelectric layers on the top and bottom surfaces as actuators/sensors rested on a Winkler-Pasternak elastic foundation and subjected to an axial load on the beams’ both ends and also under the lateral excitation load is studied using the first-order shear deformation theory (FSDT). When a constant electric charge is imposed, the governing equations of motion have been derived based on the FSDT in conjunction with the classical laminated beam theory applying the Hamilton’s principle. The governing coupled partial differential equations are converted to the coupled ordinary differential equations using the harmonic series solution and then are solved by the fourth-order Runge–Kutta method. The effect of changes different parameters including geometric ratio of the beam’s length to its height, the composite lay-up angle, number of vibrational modes, density of the composite beam, boundary conditions and feedback control gain on the natural frequency of vibration and transverse displacement of the beam are investigated. The obtained results show that the natural frequency of the beam decreases with increasing the length of the beam. Moreover, it is noticed that by increasing the feedback control gain the frequency of vibration reduces which leads to a better control of the beam’s vibration.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Parand Branch, Islamic Azad University, Parand, Iran

    Ahmad Mamandi

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  1. Ahmad Mamandi
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Correspondence to Ahmad Mamandi.

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The author declares that there is no funding or financial support received for this work and there is no conflict of interest. All the data generated or analyzed during this study are included in this manuscript.

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Mamandi, A. Vibration control of an axially loaded composite beam bonded with Piezoelectric actuator and sensor layers on a Winkler–Pasternak foundation and under transverse excitation force based on first-order shear deformation theory. Sādhanā 48, 191 (2023). https://doi.org/10.1007/s12046-023-02239-4

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  • DOI: https://doi.org/10.1007/s12046-023-02239-4

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