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finite elementsFigure 8.2 Comparison of analytical natural frequencies and numerical estima...Figure 8.3 Transient response of axial piezoelectric specimenFigure 8.4 Comparison of Bode plots for models where the number of degrees o...Figure 8.5 Conventional beam finite element functions over element with ...Figure 8.6 Nodes, elements, and beam finite element basis defined over a bea...Figure 8.7 Comparison of numerically computed frequencies and analytic fre...Figure 8.8 Transient response of composite piezoelectric beam specimenFigure 8.9 Comparison of Bode plot for and degrees of freedom in the Gal...Figure 8.10 Experimental Setup, [27] Source: Vijaya Venkata Malladi / https:...Figure 8.11 Clamped‐clamped traveling waves, (a) analytical, (b) experimenta...Figure 8.12 Clamped‐free traveling waves, (a) analytical, (b) experimental [...Figure 8.13 Free‐free traveling waves, (a) analytical, (b) experimental [27]...Figure 8.14 Analytical estimates of traveling waves, (a) clamped‐clamped, (b...Figure 8.15 Envelopes of traveling waves, (a) clamped free, 285 Hz, (b) free...

      9 Supplementary MaterialFigure 8.16 First four fixed‐fixed modes

for the axial elementFigure 8.17 First four fixed‐free modes for the axial elementFigure 8.18 First four cantilever modes of the Bernoulli–Euler beam

      Guide

      1  Cover Page

      2 Table of Contents

      3  Begin Reading

      Pages

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      2  iii

      3  v

      4  vi

      5  xi

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