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Defect-Band Splitting of a One-Dimensional Phononic Crystal with Double Defects for Bending-Wave Excitation

Author

Listed:
  • Soo-Ho Jo

    (Department of Mechanical, Robotics, and Energy Engineering, Dongguk University, Seoul 04620, Republic of Korea)

  • Donghyu Lee

    (Department of Mechanical Engineering, Seoul National University, Seoul 08826, Republic of Korea)

  • Byeng D. Youn

    (Department of Mechanical Engineering, Seoul National University, Seoul 08826, Republic of Korea
    Institute of Advanced Machines and Design, Seoul National University, Seoul 08826, Republic of Korea)

Abstract

Extensive prior research has delved into the localization of elastic wave energy through defect modes within phononic crystals (PnCs). The amalgamation of defective PnCs with piezoelectric materials has opened new avenues for conceptual innovations catering to energy harvesters, wave filters, and ultrasonic receivers. A recent departure from this conventional paradigm involves designing an ultrasonic actuator that excites elastic waves. However, previous efforts have mostly focused on single-defect scenarios for bending-wave excitation. To push the boundaries, this research takes a step forward by extending PnC design to include double piezoelectric defects. This advancement allows ultrasonic actuators to effectively operate across multiple frequencies. An analytical model originally developed for a single-defect situation via Euler–Bernoulli beam theory is adapted to fit within the framework of a double-defect set-up, predicting wave-excitation performance. Furthermore, a comprehensive study is executed to analyze how changes in input voltage configurations impact the output responses. The ultimate goal is to create ultrasonic transducers that could have practical applications in nondestructive testing for monitoring structural health and in ultrasonic imaging for medical purposes.

Suggested Citation

  • Soo-Ho Jo & Donghyu Lee & Byeng D. Youn, 2023. "Defect-Band Splitting of a One-Dimensional Phononic Crystal with Double Defects for Bending-Wave Excitation," Mathematics, MDPI, vol. 11(18), pages 1-19, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3852-:d:1236124
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    References listed on IDEAS

    as
    1. Traian Mazilu, 2022. "Numerically Stable form of Green’s Function for a Free-Free Uniform Timoshenko Beam," Mathematics, MDPI, vol. 11(1), pages 1-19, December.
    2. Arafa H. Aly & Ahmed Nagaty & Ahmed Mehaney, 2018. "Thermal properties of one-dimensional piezoelectric phononic crystal," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(10), pages 1-5, October.
    3. Arafa Hussein Aly & Ahmed Nagaty & Ahmed Mehaney, 2018. "One-dimensional phononic crystals that incorporate a defective piezoelectric/piezomagnetic as a new sensor," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(10), pages 1-5, October.
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