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Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using.

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Presentation on theme: "Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using."— Presentation transcript:

1 Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem J. Vib. Acoust. 2013;136(1):011006-011006-13. doi:10.1115/1.4025438 The general infinite periodic multiphase rod and the selected unit cell Figure Legend:

2 Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem J. Vib. Acoust. 2013;136(1):011006-011006-13. doi:10.1115/1.4025438 The displacements/forces at the ends of the current and the adjacent unit cells Figure Legend:

3 Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem J. Vib. Acoust. 2013;136(1):011006-011006-13. doi:10.1115/1.4025438 Typical parts of the unit cell: the coordinates and the physical variables Figure Legend:

4 Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem J. Vib. Acoust. 2013;136(1):011006-011006-13. doi:10.1115/1.4025438 The obtained first several wave number-frequency spectra of characteristic longitudinal waves in the periodic binary-I and binary-II rods and their comparisons with the existing counterparts Figure Legend:

5 Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem J. Vib. Acoust. 2013;136(1):011006-011006-13. doi:10.1115/1.4025438 The frequency-wave number spectra of longitudinal waves in the exemplified periodic hexadecimal rod Figure Legend:

6 Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem J. Vib. Acoust. 2013;136(1):011006-011006-13. doi:10.1115/1.4025438 The frequency-wavelength spectra of longitudinal waves in the exemplified periodic hexadecimal rod Figure Legend:

7 Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem J. Vib. Acoust. 2013;136(1):011006-011006-13. doi:10.1115/1.4025438 The frequency-phase velocity spectra of longitudinal waves in the exemplified periodic hexadecimal rod Figure Legend:

8 Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem J. Vib. Acoust. 2013;136(1):011006-011006-13. doi:10.1115/1.4025438 Effect of the cross-sectional area of the constituent rod on the band structure formation Figure Legend:

9 Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem J. Vib. Acoust. 2013;136(1):011006-011006-13. doi:10.1115/1.4025438 Effect of the length of the constituent rod on the band structure formation Figure Legend:

10 Date of download: 6/6/2016 Copyright © ASME. All rights reserved. From: Analysis and Interpretation of Longitudinal Waves in Periodic Multiphase Rods Using the Method of Reverberation-Ray Matrix Combined With the Floquet-Bloch Theorem J. Vib. Acoust. 2013;136(1):011006-011006-13. doi:10.1115/1.4025438 Effect of the mass density of the constituent rod on the band structure formation Figure Legend:


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