Dynamic analysis of frame structures with free viscoelastic layers: New closed-form solutions of eigenvalues and a viscous approach

2013 ◽  
Vol 54 ◽  
pp. 69-81 ◽  
Author(s):  
Mario Lázaro ◽  
José L. Pérez-aparicio
Keyword(s):  
Dynamic Analysis ◽  
Closed Form ◽  
Frame Structures ◽  
Closed Form Solutions ◽  
Viscoelastic Layers

Semi-Analytical Dynamic Analysis of Spiral-Grooved Mechanical Gas Face Seals

2003 ◽  
Vol 125 (2) ◽  
pp. 403-413 ◽  
Author(s):  
Brad A. Miller ◽  
Itzhak Green
Keyword(s):  
Constitutive Model ◽  
Dynamic Analysis ◽  
Closed Form ◽  
Prony Series ◽  
Closed Form Solutions ◽  
Face Seals ◽  
Mechanical Face Seal ◽  
Natural Response ◽  
Nonlinear Numerical Simulation ◽  
The Stability

A novel semi-analytical formulation is presented for the linearized dynamic analysis of spiral-grooved mechanical gas face seals. The linearized rotordynamic properties of the gas film are numerically computed and then represented analytically by a constitutive model consisting of a cosine modified Prony series. The cosine modification enables the Prony series to characterize the gas film properties of face seals in applications with large compressibility numbers. The gas film correspondence principle is then employed to couple the constitutive model to the dynamics of the mechanical face seal. Closed-form solutions are presented for the transient natural response to initial velocity conditions, the steady-state response to rotor runout and initial stator misalignment, the transmissibility ratios, and the stability threshold. Results from the closed-form solutions are all within a few percent of the results from a full nonlinear numerical simulation.

Closed Form Solutions of Joint Water-Filling for Coordinated Transmission

2010 ◽  
Vol E93-B (12) ◽  
pp. 3461-3468 ◽  
Author(s):  
Bing LUO ◽  
Qimei CUI ◽  
Hui WANG ◽  
Xiaofeng TAO ◽  
Ping ZHANG
Keyword(s):  
Closed Form ◽  
Closed Form Solutions ◽  
Water Filling

CLOSED FORM SOLUTIONS TO INVESTIGATE IONIC CONDUCTIVITY IN POROUS FUEL CELL ELECTRODE MICROSTRUCTURES

2016 ◽  
Author(s):  
Matthew B. DeGostin ◽  
Arata Nakajo ◽  
George J. Nelson ◽  
Brice N. Cassenti ◽  
Aldo A. Peracchio ◽  
...  
Keyword(s):  
Fuel Cell ◽  
Ionic Conductivity ◽  
Closed Form ◽  
Closed Form Solutions ◽  
Fuel Cell Electrode ◽  
Cell Electrode

Buckling of Axially Graded Nonlocal Columns: Closed-Form Solutions

AIAA Journal ◽  
2020 ◽  
pp. 1-6
Author(s):  
Joel Storch ◽  
Isaac Elishakoff
Keyword(s):  
Closed Form ◽  
Closed Form Solutions
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