Some dynamic properties of incompressible, transversely isotropic elastic media

Abstract The paper presents a study of a possible application of structure embedded piezoelectric actuators to enhance the performance of a rotating composite beam exhibiting the coupled flexural-flexural vibrations. The discussed transversal and lateral bending modal coupling results from the directional properties of the beam's laminate and ply stacking distribution. The mathematical model of the beam is based on an assumption of cross-sectional non-deformability and it incorporates a number of non-classical effects. The final 1-D governing equations of an active composite beam include both orthotropic properties of the laminate and transversely isotropic properties of piezoelectric layers. The system's control capabilities resulting from embedded Macro Fiber Composite piezoelectric actuators are represented by the boundary bending moment. To enhance the dynamic properties of the composite specimen under consideration a combination of linear proportional control strategies has been used. Comparison studies have been performed, including the impact on modal coupling magnitude and cross-over frequency shift.

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Propagation of Rayleigh waves of sv type in transversely isotropic elastic media

Journal of Mathematical Sciences ◽

10.1007/bf02434003 ◽

1998 ◽

Vol 91 (2) ◽

pp. 2883-2893

Author(s):

Z. A. Yanson

Keyword(s):

Rayleigh Waves ◽

Transversely Isotropic ◽

Elastic Media

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Extended displacement discontinuity Green's functions for three-dimensional transversely isotropic magneto-electro-elastic media and applications

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2006.11.002 ◽

2007 ◽

Vol 31 (6) ◽

pp. 547-558 ◽

Cited By ~ 25

Author(s):

MingHao Zhao ◽

CuiYing Fan ◽

Tong Liu ◽

Feng Yang

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Three Dimensional ◽

Transversely Isotropic ◽

Displacement Discontinuity ◽

Elastic Media

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Stress Analysis of Multilayered Anisotropic Elastic Media

Journal of Applied Mechanics ◽

10.1115/1.2897197 ◽

1991 ◽

Vol 58 (2) ◽

pp. 382-387 ◽

Cited By ~ 30

Author(s):

Hyung Jip Choi ◽

S. Thangjitham

Keyword(s):

Stress Analysis ◽

Stiffness Matrix ◽

Transversely Isotropic ◽

Solution Procedure ◽

Plane Elasticity ◽

Elastic Media ◽

Surface Traction ◽

Anisotropic Elastic ◽

The Fourier Transform ◽

Infinite Media

The stress analysis of multilayered anisotropic media subjected to applied surface tractions is performed within the framework of linear plane elasticity. The solutions are obtained based on the Fourier transform technique together with the aid of the stiffness matrix approach. A general solution procedure is introduced such that it can be uniformly applied to media with transversely isotropic, orthotropic, and monoclinic layers. As an illustrative example, responses of the semi-infinite media composed of unidirectional and angle-ply layers to a given surface traction are presented.

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