scholarly journals Divergence Instability of a Spinning Disk With Axial Spindle Displacement in Contact With Evenly Spaced Stationary Springs

1995 ◽  
Vol 62 (2) ◽  
pp. 544-547 ◽  
Author(s):  
Jen-San Chen ◽  
Cheng-Chou Wong
Keyword(s):  
Finite Element ◽  
Eigenfunction Expansion ◽  
Coupled System ◽  
Finite Element Calculation ◽  
Element Calculation ◽  
Spinning Disk ◽  
Divergence Instability

The titled problem is studied numerically by finite element calculation and analytically by three-mode eigenfunction expansion. It is found that divergence instability of the coupled system is induced only when two times the number of nodal diameters 2n is equal to a multiple of the number of stationary springs N, but n itself is not a multiple of N.

scholarly journals Vibration and Stability of a Spinning Disk in Contact With Evenly-Spaced Stationary Load Systems

1998 ◽  
Vol 120 (1) ◽  
pp. 301-302
Author(s):  
Jen-San Chen ◽  
Cheng-Chou Wong
Keyword(s):  
Finite Element ◽  
Natural Frequency ◽  
Critical Speed ◽  
Complex Conjugate ◽  
Element Calculation ◽  
Modal Interactions ◽  
Reflected Wave ◽  
Spinning Disk ◽  
Divergence Instability ◽  
The Difference

The titled problem is studied numerically by finite element calculation. Attention is focused on the behavior of modal interactions when two modes are almost degenerate. In the case when the difference between the numbers of nodal diameters of these two modes is equal to a multiple of the number of the stationary load systems, the frequency loci may merge together (when one of these two modes is a reflected wave) or veer away (when both modes are non-reflected). Otherwise, the natural frequency loci simply cross each other and no instability is induced. When a backward wave meets its complex conjugate at the critical speed, it is found that divergence instability is induced when two times the number of nodal diameters is equal to a multiple of the number of stationary springs.

Finite Element Analysis of Tianerya Trench-Buried Inverted Siphon

2013 ◽  
Vol 804 ◽  
pp. 320-324
Author(s):  
Xiang Zan Xie
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Finite Element Calculation ◽  
Construction Process ◽  
Element Calculation ◽  
Element Analysis ◽  
Operational Process ◽  
Inverted Siphon ◽  
Calculation Results ◽  
Calculation Software

This paper adopts universal finite element calculation software to carry out finite element analysis for Tianerya trench-buried inverted siphon. Researching variation law of the inverted siphons stress and displacement in construction process and operational process. The calculation results further shown design schemes rationality and safety. The analysis results provide a certain reference for design of trench-buried inverted siphon structure.

Sign in / Sign up

Export Citation Format

Share Document