Lumped parameter mathematical model of the laser soldering process and comparison of different soldering technologies

2005 ◽  
Author(s):  
N. Syed ◽  
R.L. Woods
Keyword(s):  
Mathematical Model ◽  
Soldering Process ◽  
Lumped Parameter ◽  
Laser Soldering

scholarly journals Study of a Laser Soldering Process for Fine-Pitch Leads (3rd Report)

1994 ◽  
Vol 60 (12) ◽  
pp. 1806-1810 ◽  
Author(s):  
Kohei MURAKAMI ◽  
Akira ADACHI ◽  
Jitsuho HIROTA ◽  
Masaharu YOSHIDA ◽  
Osamu HAYASHI ◽  
...  
Keyword(s):  
Soldering Process ◽  
Fine Pitch ◽  
Laser Soldering

Lumped Parameter Modeling of a Magnetorheological Fluid Clutch

2006 ◽  
Author(s):  
John C. Ulicny ◽  
Daniel J. Klingenberg ◽  
Anthony L. Smith ◽  
Zongxuan Sun
Keyword(s):  
Mathematical Model ◽  
Physical Properties ◽  
Magnetorheological Fluid ◽  
Input Current ◽  
Fluid Composition ◽  
Fluid Temperature ◽  
Temperature Range ◽  
Lumped Parameter ◽  
Lumped Parameter Modeling ◽  
Fan Speed

A lumped-parameter mathematical model of an automotive magnetorheological (MR) fluid fan clutch was developed. This model is able to describe the average fluid temperature, average clutch temperature, and output fan speed as a function of time, input current, and fluid composition. The model also reproduces numerous features of fan operation observed experimentally and revealed a mechanism for some observed cases of hysteresis. However, it fails to capture certain other features which lead us to conclude that phenomena which are not included in the model, e.g., sedimentation and re-suspension, are important to the clutch behavior. In addition, the results indicate that certain physical properties need to be measured over a larger temperature range in order for the model to better predict the clutch behavior.

INTERNAL BALLISTICS OF CLASSIC GUN WITH COMPOSITE CHARGE

2019 ◽  
Vol 147 (3/2018) ◽  
pp. 47-62
Author(s):  
Marek Radomski
Keyword(s):  
Mathematical Model ◽  
Hard Core ◽  
Combustion Products ◽  
Maximum Pressure ◽  
Muzzle Velocity ◽  
Internal Ballistics ◽  
Lumped Parameter ◽  
Model Equations ◽  
Gun Firing ◽  
Composite Charge

The paper presents a lumped parameter mathematical model considering the changes of thermodynamic properties for combustion products of a composite propelling charge, and of a burning cartridge casing or shell as well, when shot with classic guns. In addition a method was proposed for considering not coincidental instants of ignition for particular components of the charge and also for powder grains of each component, and the heat flow into the walls containing the space with combustion products. Some results of numerical computations are shown for 125 mm 2A46 tank gun firing a hard core projectile. Moreover an evaluation of accuracy of the results is given on the basis of experimental data. Maximum pressure and muzzle velocity were basic criteria at the verification of the model. Analysis of accuracy for solutions of model equations allows a conclusion that the proposed mathematical model may be useful at the designing process of ammunition and guns.

A Mathematical Model for the Evaluation of Injection Molding Machine Control

1982 ◽  
Vol 104 (1) ◽  
pp. 86-92 ◽  
Author(s):  
A. Shankar ◽  
F. W. Paul
Keyword(s):  
Mathematical Model ◽  
Injection Molding ◽  
Transient Behavior ◽  
Control System Design ◽  
Molding Machine ◽  
Injection Molding Machine ◽  
Polymer Injection ◽  
Lumped Parameter ◽  
Polymer Injection Molding ◽  
The Mathematical Model

This paper presents the development of a deterministic nonlinear lumped parameter mathematical model useful for the study and design of polymer injection molding machines and their associated controllers. The mathematical model was simulated on a digital computer and the results compared with experimental measurements taken in an existing injection molding machine. A comparison of these results showed that the developed mathematical model adequately predicts the transient behavior of averaged machine and mold variables. The resulting model is useful for control system design, machine parameter selection, and model redesign purposes.

Mathematical Modeling of a Variable Displacement Axial Piston Pump

1999 ◽  
Author(s):  
Jeff W. Dobchuk ◽  
Richard T. Burton ◽  
Peter N. Nikiforuk ◽  
Paul R. Ukrainetz
Keyword(s):  
Mathematical Model ◽  
Operating Conditions ◽  
Piston Pump ◽  
Axial Piston Pump ◽  
Specific Effects ◽  
Lumped Parameter ◽  
Lumped Parameter Models ◽  
Wide Range ◽  
Variable Displacement ◽  
Axial Piston

Abstract The variable displacement axial piston pump has been the subject of much research, having been studied from the controls, noise reduction, and design perspectives. The resulting body of research is large and very diverse in content. A review of the available publications was conducted for this paper in order to identify those works that would be most helpful in developing a complete and accurate mathematical model of an axial piston pump. Most of the available publications can be classified into one of two general groups; those describing a small group of components to understand specific phenomena or those describing the entire pump for control or design purposes. The significant mathematical developments in various publications regarding specific phenomena, particularly those works involving nonlinear friction or pressure transients, were identified by the authors in this paper. When the mathematical developments of the phenomena specific effects are combined with the widely accepted kinematics equations for the pump, an accurate numerical model can be developed. Works on linearized lumped parameter models and parameter sensitivity were examined for this paper and the limitations of these types of models were addressed. While linearized models offer mathematical simplicity, they suffer from poor accuracy over a wide range of operating conditions and do not reflect instantaneous swashplate dynamics. This paper offers insight into the required complexity of a mathematical model that is necessary to achieve a desired accuracy as well as providing the appropriate references to develop that model.

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