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Figure 4-a shows that this change of cross section causes a shift of the TM peak towards longer wavelengths which is due to increase of oscillation amplitude and the intensity of LM peak decreases considerably.
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The capacity of structural systems subjected to shear loads commonly distinguished by discontinuities such as point loads or supports, or abrupt changes of cross section, where complex fields of stresses and strains are generated, is vital information for design.
Due to the occurrence of dissimilar materials and the abrupt change of cross-section, the stress distribution at plate ends becomes singular and is hence considerably complicated.
Especially the optimized conclusion that the section stiffness of wire is asymmetric is innovative and the general conclusion is that the section stiffness is different with the change of cross-section location.
Although the corresponding one-dimensional wave equation can give an excellent approximation to waves obtained from the theory of three-dimensional elasticity, this is certainly not true in the immediate neighborhood of a sudden change of cross-section.
Also, the impact of the shear deformation on natural frequencies of the microbeam considering different values of the material length scale parameter, the angular velocity and the rate of cross section change is investigated.
The influences of some parameters such as the small scale, the rate of cross section change, the angular velocity and the gradient index of the FG material on the first two natural frequencies, are plotted in several diagrams and are shown in tables.
The pore cross section of lipid-lined toroidal pore changes through increase or decrease or following a back-and-forth change of the value of the area of cross section of the pore [ 13, 158].
Free vibration of a beam with large and abrupt changes of cross-section is studied.
Both the pass- and stop-band stiffness matrices for plane waveguides with constant cross-section are given analytically and also a transformation matrix is given to permit abrupt changes of cross-section to occur.
The model takes into account full collision cascade induced by the impinged atoms and the changes of cross-sections of nuclear and electronic collisions induced by the accumulation of atoms and damage.
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