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Analysis of wave propagation in piezoelectric coupled cylinder affected by transverse shear and rotary inertia
Affiliation:1. Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar 140001, Punjab, India;2. Department of Mathematics, Indian Institute of Science, Bangalore 560012, Karnataka, India;1. Department of Chemical Engineering, Sri Venkateswara College of Engineering, Pennalur, Tamilnadu 602 117, India;2. Department of Chemical Engineering, SSN College of Engineering, Kalavakkam, Tamilnadu 603 110, India;1. School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou 350108, People Republic of China;2. State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace Engineering, Xi''an Jiaotong University, Xi''an 710049, People Republic of China
Abstract:In this paper, we examine the wave propagation in a piezoelectric coupled cylindrical shell affected by the shear effect and rotary inertia. A complete mathematical analysis of wave propagation solution in this piezoelectric coupled cylindrical shell is provided. The dispersion characteristics are derived through the solving an eigenvalue problem. Results are validated by the classical solution of a metallic cylinder. Besides providing and discussing the dispersion curves for different wave modes, we also examine the piezoelectric effects on the dispersion curves. Further to the above investigation, comparison of dispersion solutions from different shell theories is also conducted. This work may serve as a benchmark for wave propagation in piezoelectric coupled cylindrical shells.
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