Band gap properties of periodic tapered beam structure using traveling wave method

• Autorzy: Li T. , Ma X. , Zhang Q. , Wang Z.

Identyfikatory

DOI

10.15632/jtam-pl.54.4.1297

• Języki publikacji: EN

Abstrakty

EN

The wave motion equations of a tapered beam with respect to axial, torsional and flexural deformations are deduced including the transmission and waveguide equations. Combining the force equilibrium and displacement coordination conditions at the junction, we obtain the relation between the wavenumber and frequency, and the band gap properties of periodic tapered beam structures by the Bloch theorem. The modeling accuracy and efficiency of the traveling wave method are verified by the finite element method. The band gap properties of periodic tampered and uniform beam structures are analyzed and compared for the same materials and lengths as well as the same volumes.

Słowa kluczowe

EN

band gap; periodic structure; traveling wave method; Bloch theorem; tapered beam

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 4
• Strony: 1297--1308
• Opis fizyczny: Bibliogr. 14 poz., rys., tab.

Twórcy

autor

Li T.

• School of Electromechanical Engineering, Xidian University, Xi’an, China

autor

Ma X.

• Xi’an Institute of Space Radio Technology, Xi’an, China

autor

Zhang Q.

• School of Electromechanical Engineering, Xidian University, Xi’an, China

autor

Wang Z.

• School of Electromechanical Engineering, Xidian University, Xi’an, China

Bibliografia

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• 3. Doyle J.F., 1989, Wave Propagation in Structures: an FFT-Based Spectral Analysis Methodology, Springer-Verlag, New York
• 4. Guo Y.Q., Fang D.N., 2013, Analysis and interpretation of longitudinal waves in periodic multiphase rods using the method of reverberation-ray matrix combined with the floquet-bloch theorem, Journal of Vibration and Acoustics, 136, 122-136
• 5. Li F.L., Wang Y.S., Zhang C.Z., Yu G.L., 2013, Boundary element method for band gap calculations of two-dimensional solid phononic crystals, Engineering Analysis with Boundary Elements, 37, 225-235
• 6. Li F.M., Wang Y.S., 2005, Study on wave localization in disordered periodic layered piezoelectric composite structures, International Journal of Solids and Structures, 42, 6457-6474
• 7. Liu Y., Gao L.T., 2007, Explicit dynamic finite element method for band-structure calculations of 2D phononic crystals, Solid State Communications, 144, 89-93
• 8. Riedel C.H., Kang B., 2006, Free vibration of elastically coupled dual-span curved beams, Journal of Sound and Vibration, 290, 820-838
• 9. Wang G., Wen J.H., Wen X.S., 2005, Quasi-one-dimensional phononic crystals studied using the improved lumped-mass method: application to locally resonant beams with flexural wave band gap, Physical Review B, 71, 104302
• 10. Wang Y.Z., Li F.M., Huang W.H., Wang Y.S., 2007, Effects of inclusion shapes on the band gaps in two-dimensional piezoelectric phononic crystals, Journal of Physics: Condensed Matter, 19, 496204
• 11. Wen J., Wang G., Yu D.L., Zhao H.G., Liu Y.Z., 2005, Theoretical and experimental investigation of flexural wave propagation in straight beams with periodic structures: Application to a vibration isolation structure, Journal of Applied Physics, 97, 114907-114910
• 12. Wen S.R., Lu N.L., Wu Z.J., 2014, Dynamic property analysis of the space-frame structure using the spectral element method, Waves Random Complex Medium, 24, 404-420
• 13. Wu Z.J., Li F.M., Zhang C., 2015, Vibration band-gap properties of three-dimensional Kagome lattices using the spectral element method, Journal of Sound and Vibration, 341, 162-173
• 14. Yu D.L., Wen J.H., Shen H.J., Xiao Y., Wen X.S., 2012, Propagation of flexural wave in periodic beam on elastic foundations, Physical Letter A, 376, 626-630

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.