Dispersion of elastic waves in laminated glass

Elastic sandwich-type structures with high-contrast material and geometrical properties have numerous applications in modern engineering, including, in particular, laminated glass, photovoltaic panels, precipitator plates in gas filters, etc. Multi-parametric modelling of such structures assumes taking into consideration various types of contrast in stiffness, density and thickness. The present contribution is concerned with analysis of low-frequency dispersion of elastic waves in case of an antisymmetric motion of a three-layered symmetric plate, modelling laminated glass. The conditions on material and geometrical parameters, leading to the lowest non-zero thickness shear resonance frequency tending to zero, are formulated. In this case the dispersion relation possesses two low-frequency modes instead of a single fundamental low-frequency mode, which is typical for a homogeneous plate. A two-mode uniform asymptotic approximation is constructed, along with local approximations for the fundamental mode and the first shear harmonic

Portland Daily Press: November 07,1862

https://digitalmaine.com/pdp_1862/1111/thumbnail.jp

Detection of proteins associated with the CJIE1 prophage after growth on Mueller-Hinton agar in iTRAQ labelling experiments.

<p>Detection of proteins associated with the CJIE1 prophage after growth on Mueller-Hinton agar in iTRAQ labelling experiments.</p

Schematic diagram demonstrating differences in Group 1 CJIE4 prophage DNA sequences.

<p>Strains carried the large indel containing genes encoding CJE1439-Cj1442, plus strain 414. The diagram includes prophages investigated in this work (see Materials and Methods) plus those obtained from NCBI databases. Sizes of genes are approximate, and any non-coding sequence between genes has not been shown to conserve space.</p

Comparison of sequence annotation for five CJIE4 prophages.

<p>Comparison of sequence annotation for five CJIE4 prophages.</p

Distribution in genomes and expression of unique chromosomal genes of the 4 isolates.

<p>Distribution in genomes and expression of unique chromosomal genes of the 4 isolates.</p

Summary data for the 4 complete sequenced isolates and genomes.

<p>Summary data for the 4 complete sequenced isolates and genomes.</p

UpSet plots summarizing differential protein expression analysis for the four isolates.

<p>The horizontal bar graph at the bottom left of each figure shows the total number of proteins with differences in log₂ fold change expression for each pair of isolates. Joined black circles to the right of these bar graphs indicate that the same differentially expressed proteins were common to the pairwise isolate comparisons shown at left. The vertical bar graph at the top quantitates the number of proteins with similar log₂ fold change expression differences in the isolate comparisons. A. Results obtained using only exclusive peptides in the Scaffold pair-wise differential expression analyses. B. Results obtained when non-exclusive peptides were included in the Scaffold pair-wise differential expression analyses. Note the difference in scale between the two bar graphs.</p