Stressed state of elastic hollow cylinders with nonplanar end-faces

A theory and a mathematical model are developed for calculating the parameters of the strain-stressed state at the stages of pre-bending, calibration, straightening and bending of the straightened section, taking into account the strengthening of the billet on a roll machine. By CAD/CAE modeling the strains, stresses and forces acting on the billet from the rolls are investigated. Criteria for the formation of cracks, low accuracy and excessive springing of the billet after these processing steps are determined, recommendations are given for their elimination. Keywords billet, sheet stamping, bending, roll machine, pre-bending, calibration, straightening, bending of the straightened section, CAD/CAE modeling. [email protected]

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Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders

Mathematics and Mechanics of Solids ◽

10.1177/10812865211013458 ◽

2021 ◽

pp. 108128652110134

Author(s):

B. Zhang ◽

X.H. Wang ◽

L. Elmaimouni ◽

J.G. Yu ◽

X.M. Zhang

Keyword(s):

Coupling Effect ◽

Energy Conversion Efficiency ◽

Guided Wave ◽

Functionally Graded ◽

Phonon Modes ◽

One Dimensional ◽

Longitudinal Modes ◽

Wave Characteristics ◽

Piezoelectric Effects ◽

Hollow Cylinders

In one-dimensional hexagonal piezoelectric quasi-crystals, there exist the phonon–phason, electro–phonon, and electro–phason couplings. Therefore, the phonon–phason coupling and piezoelectric effects on axial guided wave characteristics in one-dimensional hexagonal functionally graded piezoelectric quasi-crystal (FGPQC) cylinders are investigated by utilizing the Legendre polynomial series method. The dispersion curves and cut-off frequencies are illustrated. Wave characteristics in three hollow cylinders with different quasi-periodic directions are comparatively studied. Some new wave phenomena are revealed: the phonon–phason coupling and piezoelectric effects on the longitudinal and torsional phonon modes ( N = 0) vary as the quasi-periodic direction changes; the phonon–phason coupling effect on flexural–torsional modes in the r-, z-FGPQC hollow cylinders, and on flexural–longitudinal modes in ϑ-FGPQC hollow cylinders increases as N increases. The corresponding results obtained in this work lay the theoretical foundation for the design and manufacture of piezoelectric transducers with high resolution and energy-conversion efficiency.

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Two-Dimensional Stressed State of an Adhesive Joint. Nonclassical Problem

Journal of Mathematical Sciences ◽

10.1007/s10958-021-05295-5 ◽

2021 ◽

Vol 254 (1) ◽

pp. 156-163

Author(s):

S. S. Kurennov ◽

О. G. Polyakov ◽

K. P. Barakhov

Keyword(s):

Stressed State ◽

Adhesive Joint ◽

Two Dimensional ◽

Nonclassical Problem

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