Determination of the third-order piezoelectric constants and electrostriction of alpha quartz using the thickness modes of plates

Author(s):  
C.K. Hruska ◽  
R. Brendel
Author(s):  
Tomazˇ Katrasˇnik ◽  
Samuel Rodman Opresˇnik ◽  
Ferdinand Trenc ◽  
Nedjeljko Sˇkific´

A new criterion for the determination of the start of combustion (SOC) from the diesel engine in-cylinder pressure diagram was developed. It is defined as the maximum of the third order derivative of the cylinder pressure with respect the crank angle. This criterion declares SOC more precisely than other previously published criterions based on pressure diagnostics. This fact was proven analytically and was discernable from the analysis of the experimental data. Beside its accuracy it is also robust enough to allow automatic evaluation of the SOC during processing of the pressure data for a large number of cycles. Analysis of the first law of thermodynamics applied to the engine cylinder showed that the third order derivative of the cylinder pressure with respect to the crank angle is the most suitable criterion for determination of the SOC from the cylinder pressure diagram. Subsequently the criterion was validated through experimental data analysis of the cylinder pressure diagrams for various engine speeds and loads. Cylinder pressure diagrams were processed with a computer code based on the first law of thermodynamics to evaluate the rate of heat release (ROHR), which formed the base for experimental validation. The cylinder pressure was measured with an advanced piezoelectric sensor at the resolution 0.1 deg. CA. Top dead center was determined with the capacitive top dead center sensor. Due to the analytic foundation of the developed method and its validation through highly accurate experimental data it can be concluded that new criterion is credible for the determination of the SOC.


1980 ◽  
Vol 5 (6) ◽  
pp. 248 ◽  
Author(s):  
D. E. Watkins ◽  
C. R. Phipps ◽  
S. J. Thomas

2005 ◽  
Vol 128 (4) ◽  
pp. 928-933 ◽  
Author(s):  
Tomaž Katrašnik ◽  
Ferdinand Trenc ◽  
Samuel Rodman Oprešnik

A new criterion for the determination of the start of combustion (SOC) from the diesel engine in-cylinder pressure diagram was developed. It is defined as the maximum of the third-order derivative of the cylinder pressure with respect to the crank angle. This criterion declares SOC more precisely than other previously published criteria based on pressure diagnostics. This fact was proven analytically and was discernable from the analysis of the experimental data. Besides its accuracy it is also robust enough to allow automatic evaluation of the SOC during processing of the pressure data for a large number of cycles. By applying the first law of thermodynamics analysis to the engine cylinder it was discovered that the third-order derivative of the in-cylinder pressure with respect to the crank angle is the most suitable criterion for determination of the SOC from the in-cylinder pressure diagram. Subsequently, the criterion was validated through experimental data analysis of the in-cylinder pressure diagrams for various engine speeds and loads. In order to evaluate the rate of heat release (ROHR), which formed the base for the experimental validation, in-cylinder pressure diagrams were processed with a computer code based on the first law of thermodynamics. The cylinder pressure was measured with an advanced piezoelectric sensor at the resolution 0.1 deg CA. Top dead center was determined with the capacitive top dead center sensor. Due to the analytic foundation of the developed method and its validation through highly accurate experimental data it can be concluded that new criterion is credible for the determination of the SOC.


1960 ◽  
Vol 15 (12) ◽  
pp. 1056-1067 ◽  
Author(s):  
Alfred Seeger ◽  
Otto Buck

The application of the non-linear theory of elasticity to solid state problems has recently become of increasing importance. For numerical work the knowledge of the third-order elastic constants is required. The present paper compiles the various experimental methods for the experimental determination of these constants and derives, where required, the formulae for the evaluation of the experiments. We give a critical compilation of the available data on third-order elastic constants. A complete set is given for germanium single crystals (6 constants) and for polycrystalline copper and iron (3 constants).


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