5 Chapter 5Figure 5.1 (Left) Uniaxial test to measure electric displacement, (Right) El...Figure 5.2 (Left) Uniaxial test to measure stress, (Right) Stress versus ele...Figure 5.3 Decomposition of surface
into complementary surfaces
and 
6 Chapter 6Figure 6.1 Displacement assumed mode
.Figure 6.2 Potential assumed mode
.Figure 6.3 Piezoelectric uniaxial rod with the top and bottom surfaces elect...Figure 6.4 Piezoelectrically actuated composite beam.Figure 6.5 Shear and bending moment acting on a typical beam section.Figure 6.6 Piezoelectrically actuated composite plate driven by two voltage ...Figure 6.7 Composite piezoelectric beam actuated by two patches.Figure 6.8 Axial piezoelectric specimen with tip mass.Figure 6.9 Axial piezoelectric specimen with prescribed base motion
.Figure 6.10 Piezoelectric composite beam specimen with rigidly attached tip ...Figure 6.11 Piezoelectric composite beam specimen prescribed base motion
....
7 Chapter 7Figure 7.1 Piezoelectric composite beam connected to a passive resistive shu...Figure 7.2 Schematic diagram of piezoelectric element with shunt resistorFigure 7.3 Piezoelectric composite beam connected to a passive capacitive sh...Figure 7.4 Piezoelectric element with capacitive shuntFigure 7.5 Stack actuator, orientation of layers, and electroding patternFigure 7.6 Coordinate systems for odd and even layers
8 Chapter 8Figure 8.1 Piecewise linear
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
1 Cover Page
2 Table of Contents
3 Begin Reading
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