scholarly journals Theoretical analysis of the oscillating circular piston positive displacement flowmeter: II numerical solution of equations of motion and comparison with experimental data

2018 ◽  
Vol 63 ◽  
pp. 47-61
Author(s):  
Charlotte E. Morton ◽  
Ian M. Hutchings ◽  
Roger C. Baker
Keyword(s):  
Experimental Data ◽  
Theoretical Analysis ◽  
Numerical Solution ◽  
Equations Of Motion ◽  
Positive Displacement ◽  
Solution Of Equations ◽  
Comparison With Experimental Data

Modeling Triple Friction Pendulum Bearings for Response-History Analysis

2008 ◽  
Vol 24 (4) ◽  
pp. 1011-1028 ◽  
Author(s):  
Daniel M. Fenz ◽  
Michael C. Constantinou
Keyword(s):  
Experimental Data ◽  
Equations Of Motion ◽  
Analysis Software ◽  
History Analysis ◽  
Response History Analysis ◽  
Displacement Behavior ◽  
Direct Numerical Integration ◽  
Friction Pendulum ◽  
Force Displacement ◽  
Comparison With Experimental Data

There are currently no applicable hysteresis rules or nonlinear elements available in structural analysis software that can be used to exactly model triple Friction Pendulum bearings for response-history analysis. Series models composed of existing nonlinear elements are proposed since they can be immediately implemented in currently available analysis software. However, the behavior of the triple Friction Pendulum bearing is not exactly that of a series arrangement of single concave Friction Pendulum bearings—though it is similar. This paper describes how to modify the input parameters of the series model in order to precisely retrace the true force-displacement behavior exhibited by this device. Recommendations are made for modeling in SAP2000 and are illustrated through analysis of a simple seismically isolated structure. The results are confirmed by (a) verifying the force-displacement behavior through comparison with experimental data and (b) verifying the analysis through comparison to the results obtained by direct numerical integration of the equations of motion.

Self-similar Solution of the Problem of Inertia-less Free Flow of Viscous Liquid from Pipe into Submerged Volume

2007 ◽  
Vol 5 ◽  
pp. 248-253
Author(s):  
A.G. Kutushev ◽  
A.V. Tatosov
Keyword(s):  
Experimental Data ◽  
Viscous Liquid ◽  
Equations Of Motion ◽  
Similar Solution ◽  
Free Flow ◽  
Self Similar Solution ◽  
Self Similar ◽  
The Difference ◽  
Comparison With Experimental Data

A liquid outflow from a circular semi-bounded tube into a space flooded by another liquid due to the difference in densities is considered. A self-similar solution of the equations of motion is constructed. A comparison with experimental data is given.

Reduced Sensitivity to Perturbations in the Numerical Solution of Multibody DAEs

2005 ◽  
Author(s):  
Carlo L. Bottasso ◽  
Olivier A. Bauchau
Keyword(s):  
Theoretical Analysis ◽  
Numerical Solution ◽  
Multibody Dynamics ◽  
Perturbation Analysis ◽  
Equations Of Motion ◽  
Numerical Example ◽  
Scaling Transformation ◽  
System Equations ◽  
Propagation Of Errors

A simple preconditioning for the multibody dynamics equations of motion in index 3 form is presented. The perturbation analysis of the transformed system shows a decreased sensitivity to the propagation of errors in the numerical solution by BDF-type schemes. The scaling transformation is simple to implement and does not require the re-writing of the system equations as other approaches. The theoretical analysis is confirmed by a simple numerical example.

Microdiffraction Patterns of Small Metallic Particles II; Theoretical Analysis

1982 ◽  
Vol 40 ◽  
pp. 668-669
Author(s):  
A. Gómez ◽  
P. Schabes-Retchkiman ◽  
M. José-Yacamán ◽  
T. Ocaña
Keyword(s):  
Experimental Data ◽  
Electron Diffraction ◽  
Theoretical Analysis ◽  
Size Range ◽  
Dynamical Theory ◽  
Metallic Particles ◽  
Splitting Effect

The splitting effect that is observed in microdiffraction pat-terns of small metallic particles in the size range 50-500 Å can be understood using the dynamical theory of electron diffraction for the case of a crystal containing a finite wedge. For the experimental data we refer to part I of this work in these proceedings.

On the Parametric Excitation of Pendulum-Type Vibration Absorber

1961 ◽  
Vol 28 (3) ◽  
pp. 330-334 ◽  
Author(s):  
Eugene Sevin
Keyword(s):  
Energy Transfer ◽  
Numerical Solution ◽  
Parametric Excitation ◽  
Equations Of Motion ◽  
Vibration Absorber ◽  
Single Cycle ◽  
Linearized System ◽  
Nonlinear Equations Of Motion ◽  
Beam Oscillation ◽  
Energy Interchange

The free motion of an undamped pendulum-type vibration absorber is studied on the basis of approximate nonlinear equations of motion. It is shown that this type of mechanical system exhibits the phenomenon of auto parametric excitation; a type of “instability” which cannot be accounted for on the basis of the linearized system. Complete energy transfer between modes is shown to occur when the beam frequency is twice the simple pendulum frequency. On the basis of a numerical solution, approximately 150 cycles of the beam oscillation take place during a single cycle of energy interchange.

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