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A Numerical Model for Piezoelectric Beam with Graded Properties

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Next Generation Materials and Processing Technologies

Part of the book series: Springer Proceedings in Materials ((SPM,volume 9))

Abstract

This investigation is concerned with a numerical model of piezoelectric material beam with graded properties. A refined trigonometric shear model is employed. The material properties are assumed to be varied along the depth according to the volume fraction of constituents. The materials constants are evaluated using power law rule. Hamilton’s principle is employed to acquire the governing equations along with associated boundary conditions for FGPM beam. A numerical model is derived for piezoelectric beam with graded properties. The generalized differential quadrature method is used to discretize the equation of motion. Result for fixed-fixed end condition is presented. Effects of power exponents and geometric parameter on natural frequencies are also reported.

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Rajasthan Technical University, Kota, Rajasthan, India

    Pankaj Sharma

Authors
  1. Pankaj Sharma
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Correspondence to Pankaj Sharma .

Editor information

Editors and Affiliations

  1. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati, Assam, India

    Swarup Bag

  2. Laser Material Processing Division, Raja Ramanna Centre for Advanced Technology, Indore, Madhya Pradesh, India

    Christ Prakash Paul

  3. National Institute of Technology Jamshedpur, Jamshedpur, Jharkhand, India

    Mayuri Baruah

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Sharma, P. (2021). A Numerical Model for Piezoelectric Beam with Graded Properties. In: Bag, S., Paul, C.P., Baruah, M. (eds) Next Generation Materials and Processing Technologies. Springer Proceedings in Materials, vol 9. Springer, Singapore. https://doi.org/10.1007/978-981-16-0182-8_27

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