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Titlebook: Vibrations of Shells and Rods; Khanh Chau Le Book 1999 Springer-Verlag Berlin Heidelberg 1999 asymptotic methods.elasticity.knowledge.mate

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Piezoelectric shellse shell is transversely isotropic and homogeneous (the piezoceramic shell with thickness polarization). Let the face surfaces of the shell be covered by electrodes, and the time-dependent voltage, ϕ.(.), be specified on them. The problem is to construct a two-dimensional theory of piezoceramic shell
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Piezoelectric rodsed in Chapter 6 become unapplicable in such situations. This Chapter is devoted to the construction of a one-dimensional theory of piezoceramic rods with longitudinal polarization that enables one to determine their resonant vibrations in a wide range of frequencies.
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Book 1999 of vibrations and waves is so important in many branches of physics and me­ chanics. This book is devoted to the study of small mechanical vibrations of shells and rods, which are made of elastic or piezoelectric materials. But even in this very special field there are already many excellent books
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978-3-642-64179-4Springer-Verlag Berlin Heidelberg 1999
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Khanh Chau LeFor engineers and advanced students wishing to understand the mathematical point-of-view of vibrations of one- and two-dimensional structures * Develops theories of low- and high-frequency vibrations.
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Elastic rodsways remains orthogonal to . and cuts its centroid, we fill some domain . in the three-dimensional Euclidean point space .. (Figure 4.1). A linear elastic body occupying the domain . in its stress-free undeformed state is called an elastic rod, the curve c(.) its central line, and . its cross section.
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