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Effect of displacement control gain on the shape of functionally graded piezoelectric beam using a simple beam theory

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Abstract

Smart material application can help in solving complex issues of structural members, the issues regarding health monitoring, vibration control, and stability. It is, therefore, a need of time to focus on the application of smart material, especially to civil engineering structures. In this study, a simple mathematical model is formulated to perform static bending analysis of functionally graded beams. The complex boundary conditions are handled with help of beam function maintaining analytical solution approach. First section of the work is to formulate and validate the proposed model by performing a static bending analysis of the core functionally graded (FG) beam. The results obtained through bending analysis are compared with notable work in the literature. The next part of the study focuses on smart application piezoelectric layers coupled to the FG beams to achieve deflection (shape) control. Parametric changes considered are thickness of core beam and piezo-layers, FG material (power-law), and boundary conditions (SS, CC, CS, CF) while working on both parts of the work. Smart application of piezoelectric material for FG beam are obtained in terms of level of control achieved against particular value of displacement feedback gain.

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Funding

The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

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Authors and Affiliations

  1. Civil Engineering Department, SNJB’s Late KBJ College of Engineering, Chandwad, Nashik, India

    S. A. Patare & Y. L. Bhirud

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  1. S. A. Patare
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  2. Y. L. Bhirud
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Contributions

All the authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by SAP and YLB. The first draft of the manuscript was written by SAP and second author commented on previous versions of the manuscript. Both the authors read and approved the final manuscript together.

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Correspondence to S. A. Patare.

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Patare, S.A., Bhirud, Y.L. Effect of displacement control gain on the shape of functionally graded piezoelectric beam using a simple beam theory. Asian J Civ Eng 23, 887–905 (2022). https://doi.org/10.1007/s42107-022-00463-7

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  • DOI: https://doi.org/10.1007/s42107-022-00463-7

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