Stability of Nonlinear Circumferential Waves in an Accelerated Spinning Rectilinearly Orthotropic Disk

2008 ◽  
pp. 297-297-12
Author(s):  
H Ohnabe ◽  
O Funatogawa ◽  
M Itoh
Keyword(s):  
Orthotropic Disk ◽  
Circumferential Waves

Singularities in a Solution to a Rotating Orthotropic Disk with Temperature Gradient

Meccanica ◽  
2006 ◽  
Vol 41 (2) ◽  
pp. 197-205 ◽  
Author(s):  
Nelli N. Alexandrova ◽  
Paulo M. M. Vila Real
Keyword(s):  
Temperature Gradient ◽  
Orthotropic Disk

Circumferential Waves in Thin‐Walled Air‐Filled Cylinders in Water

1963 ◽  
Vol 35 (1) ◽  
pp. 59-64 ◽  
Author(s):  
K. J. Diercks ◽  
T. G. Goldsberry ◽  
C. W. Horton
Keyword(s):  
Thin Walled ◽  
Circumferential Waves

Tables for Frequencies and Modes of Free Vibration of Infinitely Long Thin Cylindrical Shells

1954 ◽  
Vol 21 (2) ◽  
pp. 178-184
Author(s):  
M. L. Baron ◽  
H. H. Bleich
Keyword(s):  
Free Vibration ◽  
Poisson’S Ratio ◽  
Cylindrical Shells ◽  
Bending Stiffness ◽  
Poisson's Ratio ◽  
Underlying Theory ◽  
Half Wave ◽  
Quick Determination ◽  
Circumferential Waves

Abstract Tables are presented for the quick determination of the frequencies and shapes of modes of infinitely long thin cylindrical shells. To make the problem tractable, the shells are first treated as membranes without bending stiffness, and the bending effects are introduced subsequently as corrections. The underlying theory is based on the energy expressions for cylindrical shells. The tables cover the following range: lengths of longitudinal half wave L from 1 to 10 radii a; number n of circumferential waves from 0 to 6. The results apply for Poisson’s ratio ν = 0.30.

Numerical Computation of Circumferential Waves in Cylindrical Curved Waveguides

2020 ◽  
Vol 17 (10) ◽  
pp. 2050001
Author(s):  
Zhirong Lin ◽  
Peng Yu ◽  
Haokun Xu
Keyword(s):  
Numerical Computation ◽  
Cross Section ◽  
Analytical Solutions ◽  
Present Method ◽  
Complex Field ◽  
Analytical Technique ◽  
Trial Wavefunction ◽  
The Waves ◽  
Variational Statement ◽  
Circumferential Waves

We present a complex field general variational statement to study the waves propagating in the circumferential directions of cylindrical curved waveguides. A semi-analytical technique that has been applied on straight waveguides in the literature is reformulated to adapt to the circumferential directions and used for constructing the trial wavefunction in complex field. The method requires the waveguide to be analyzed to be geometrically and physically uniform along its circumferential axis; however, its circumferential cross-section can be arbitrarily complex. The formulation is verified using various examples, which were examined previously by other numerical or analytical solutions. Different cases were studied and comparisons with those published are also performed show the utility and advantages of present method.

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