scholarly journals Experiments of the acoustic phase-conjugate wave using nonlinear vibration in a piezoelectric resonator.

1994 ◽  
Vol 15 (6) ◽  
pp. 363-369
Author(s):  
Akihiko Shigeo ◽  
Yoshirou Tomikawa ◽  
Hiroaki Yamada
Keyword(s):  
Nonlinear Vibration ◽  
Piezoelectric Resonator ◽  
Phase Conjugate ◽  
Acoustic Phase

Nonlinear Piezoelectricity of PZT Ceramics and Acoustic Phase Conjugate Waves

1996 ◽  
Vol 35 (Part 1, No. 5B) ◽  
pp. 3210-3213 ◽  
Author(s):  
Ken Yamamoto ◽  
Akira Kokubo ◽  
Masahiro Ohno ◽  
Keiji Sakai ◽  
Kenshiro Takagi
Keyword(s):  
Pzt Ceramics ◽  
Phase Conjugate ◽  
Nonlinear Piezoelectricity ◽  
Acoustic Phase

Time‐reversal property of acoustic phase conjugate waves and their applications to imaging systems

1996 ◽  
Vol 100 (4) ◽  
pp. 2808-2808
Author(s):  
Ken Yamamoto ◽  
Akira Kokubo ◽  
Masahiro Ohno ◽  
Keiji Sakai ◽  
Kenshiro Takagi
Keyword(s):  
Time Reversal ◽  
Imaging Systems ◽  
Phase Conjugate ◽  
Acoustic Phase

PHASE CONJUGATE OSCI LLATORS

1983 ◽  
Vol 44 (C2) ◽  
pp. C2-43-C2-43
Author(s):  
A. Siegman
Keyword(s):  
Phase Conjugate

MODELING OF NONLINEAR VIBRATION PROBLEMS WITH FLUID FLOWS THROUGH PIPELINES

2018 ◽  
pp. 44-47
Author(s):  
F.J. Тurayev
Keyword(s):  
Differential Equations ◽  
Nonlinear Vibration ◽  
Viscoelastic Properties ◽  
Construction Material ◽  
Fluid Flows ◽  
Variable Coefficients ◽  
Algebraic Equations ◽  
Flowing Liquid ◽  
Vibration Problems

In this paper, mathematical model of nonlinear vibration problems with fluid flows through pipelines have been developed. Using the Bubnov–Galerkin method for the boundary conditions, the resulting nonlinear integro-differential equations with partial derivatives are reduced to solving systems of nonlinear ordinary integro-differential equations with both constant and variable coefficients as functions of time.A system of algebraic equations is obtained according to numerical method for the unknowns. The influence of the singularity of heredity kernels on the vibrations of structures possessing viscoelastic properties is numerically investigated.It was found that the determination of the effect of viscoelastic properties of the construction material on vibrations of the pipeline with a flowing liquid requires applying weakly singular hereditary kernels with an Abel type singularity.

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