Explanatory Response Time Models

2021 ◽  
pp. 35-46
Author(s):  
Daniella Rebouças-Ju ◽  
Ying Cheng
Keyword(s):  
Response Time ◽  
Response Time Models

Lumped-Parameter Response Time Models for Pneumatic Circuit Dynamics

2020 ◽  
Vol 143 (5) ◽  
Author(s):  
Andrew A. Stanley ◽  
Amirhossein Amini ◽  
Casey Glick ◽  
Nathan Usevitch ◽  
Yiğit Mengüç ◽  
...  
Keyword(s):  
Response Time ◽  
High Speed ◽  
Response Times ◽  
Coefficient Of Determination ◽  
Response Time Models ◽  
Response Curves ◽  
Flow Restriction ◽  
Lumped Parameter ◽  
Fluidic Circuits ◽  
Timing Models

Abstract Resistor–capacitor (RC) response time models for pressurizing and depressurizing a pneumatic capacitor (mass accumulator) through a resistor (flow restriction) comprise a framework to systematically analyze complex fluidic circuits. A model for pneumatic resistance is derived from a combination of fundamental fluid mechanics and experimental results. Models describing compressible fluid capacitance are derived from thermodynamic first principles and validated experimentally. The models are combined to derive the ordinary differential equations that describe the RC dynamics. These equations are solved analytically for rigid capacitors and numerically for deformable capacitors to generate pressure response curves as a function of time. The dynamic pressurization and depressurization response times to reach 63.2% (or 1−e−1) of exponential decay are validated in simple pneumatic circuits with combinations of flow restrictions ranging from 100 μm to 1 mm in diameter, source pressures ranging from 5 to 200 kPa, and capacitor volumes of 0.5 to 16 mL. Our RC models predict the response times, which range from a few milliseconds to multiple seconds depending on the combination, with a coefficient of determination of r2=0.983. The utility of the models is demonstrated in a multicomponent fluidic circuit to find the optimal diameter of tubing between a three-way electromechanical valve and a pneumatic capacitor to minimize the response time for the changing pressure in the capacitor. These lumped-parameter models represent foundational blocks upon which timing models of pneumatic circuits can be built for a variety of applications from soft robotics and industrial automation to high-speed microfluidics.

scholarly journals The overconstraint of response time models: Rethinking the scaling problem

2009 ◽  
Vol 16 (6) ◽  
pp. 1129-1135 ◽  
Author(s):  
Chris Donkin ◽  
Scott D. Brown ◽  
Andrew Heathcote
Keyword(s):  
Response Time ◽  
Response Time Models

scholarly journals Stochastic programming for individualized test assembly with mixture response time models

2017 ◽  
Vol 76 ◽  
pp. 693-702 ◽  
Author(s):  
Bernard P. Veldkamp ◽  
Marianna Avetisyan ◽  
Alexander Weissman ◽  
Jean-Paul Fox
Keyword(s):  
Stochastic Programming ◽  
Response Time ◽  
Response Time Models ◽  
Test Assembly
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