Stress Wave Propagation in a Bar of Arbitrary Cross Section

1982 ◽  
Vol 49 (1) ◽  
pp. 157-164 ◽  
Author(s):  
K. Nagaya
Keyword(s):  
Wave Propagation ◽  
Cross Section ◽  
Fourier Expansion ◽  
Frequency Equation ◽  
Arbitrary Cross Section ◽  
Stress Wave Propagation ◽  
Flexural Waves ◽  
Elliptical Cross ◽  
Phase Velocities ◽  
Wave Numbers

In this paper a method for solving wave propagation problems of an infinite bar of arbitrary cross section has been presented. The frequency equation for finding phase velocites for longitudinal, torsional, and flexural waves have been obtained by making use of the Fourier expansion collocation method which has been developed by the author on the vibration and dynamic response problems of membranes and plates. As a numerical example, the phase velocities versus wave numbers are calculated for elliptical and truncated elliptical cross-section bars.

Modeling wave propagation in damped waveguides of arbitrary cross-section

2006 ◽  
Author(s):  
Ivan Bartoli ◽  
Alessandro Marzani ◽  
Howard Matt ◽  
Francesco Lanza di Scalea ◽  
Erasmo Viola
Keyword(s):  
Wave Propagation ◽  
Cross Section ◽  
Arbitrary Cross Section

Dispersion study of plane-strain vibrations in poroelastic solid bars with polygonal cross-section

2016 ◽  
Vol 22 (1) ◽  
pp. 38-52 ◽  
Author(s):  
Sandhya Rani Bandari ◽  
Malla Reddy Perati ◽  
Gangadhar Reddy Gangu
Keyword(s):  
Wave Propagation ◽  
Phase Velocity ◽  
Plane Strain ◽  
Cross Section ◽  
Cross Sections ◽  
Fourier Expansion ◽  
Data Phase ◽  
Base Curve ◽  
Symmetric And Antisymmetric Modes ◽  
Relevant Material

This paper studies wave propagation in a poroelastic solid bar with polygonal cross-section under plane-strain conditions. The boundary conditions on the surface of the cylinder whose base curve is polygon are satisfied by means of the Fourier expansion collocation method. The frequency equations are discussed for both symmetric and antisymmetric modes in the framework of Biot’s theory of poroelastic solids. For illustration purposes, sandstone saturated materials and bony material are considered. The numerical results were computed as the basis of relevant material data . Phase velocity is computed against the wavenumber for various cross-sections and results are presented graphically.

Sign in / Sign up

Export Citation Format

Share Document