Transfer Functions for Helical Springs

1969 ◽  
Vol 91 (4) ◽  
pp. 1011-1016 ◽  
Author(s):  
B. L. Johnson ◽  
E. E. Stewart
Keyword(s):  
Experimental Data ◽  
Experimental Investigation ◽  
Steady State ◽  
Transfer Functions ◽  
Helical Springs ◽  
Response Characteristics ◽  
Transmitted Force ◽  
Vibratory Motion ◽  
Frequency Response Characteristics ◽  
Displacement Force

This study reports the results of an analytical and experimental investigation of helical springs subjected to vibratory motion. Transfer functions are presented for both displacement and transmitted force as outputs with force as the input. Steady-state sinusoidal Magnitude Ratio (displacement—force) and Transmittance Ratio (force—force) are plotted along with substantiating experimental data. It is shown that an actual spring displays frequency response characteristics over most of the frequency spectrum that would render its function useless in many cases.

Combination of a Nonlinear Static and a Linear Dynamic Model of the NETL HyPer System

2010 ◽  
Author(s):  
Bernardo Restrepo ◽  
Larry E. Banta ◽  
Alex J. Tsai ◽  
David Tucker
Keyword(s):  
Experimental Data ◽  
Steady State ◽  
Fuel Cell ◽  
Control Systems ◽  
Real Time ◽  
Gas Turbine ◽  
Transfer Functions ◽  
State Variables ◽  
Linear Dynamic ◽  
Wide Range

A nonlinear steady-state thermodynamic model was coupled with linearized dynamic transfer functions to achieve a dynamic description of the NETL HyPer Fuel Cell Gas Turbine (FC/GT) power plant. Nonlinear dynamic models insure accuracy in modeling steady-state behavior over a wide range of operation, but such models are often complex and difficult to implement in real-time using conventional control systems equipment. Conversely, the linearized models provide the ability to predict transient behavior upon which dynamic control systems can be constructed, but are valid only about a narrow operating point. In systems with one or two state variables, it is relatively straightforward to construct controllers that use gain scheduling schemes. But the HyPer system contains many coupled state variables and high degrees of nonlinearity. A method called Real-Time Piecewise Linear Dynamic Modeling (RPLDM) has been implemented to provide both modeling accuracy and real-time performance for the HyPer system over a multi-dimensional hypersurface. Both the nonlinear and the linear constituent models were constructed based on experimental data collected in tests performed on the HyPer system. The models presently consider only the cathode circuit of the fuel cell and contain a recuperated gas turbine system equipped with an electric generator, a simulated fuel cell cathode and various bypass valves for thermal management and system control. The key variables of air temperature, air pressure and mass flow to the cathode of the fuel cell and the turbomachinery have been predicted to within 2% of measured values. This paper presents the modeling technique and comparisons of the model output with experimental data.

Modeling and Experimental Investigation of a Helmholtz Resonator With a Flexible Plate

2013 ◽  
Vol 135 (4) ◽  
Author(s):  
Shahin S. Nudehi ◽  
G. Scott Duncan ◽  
Umar Farooq
Keyword(s):  
Experimental Investigation ◽  
Transmission Loss ◽  
Helmholtz Resonator ◽  
Single Frequency ◽  
Flexible Plate ◽  
Resonant Frequencies ◽  
Response Characteristics ◽  
Receptance Coupling ◽  
Frequency Response Characteristics ◽  
Plate Assembly

A Helmholtz resonator with a uniform, flexible end plate is studied in this work. This work shows that the flexible plate modifies the frequency response characteristics of the resonator, providing multiple distinct resonant frequencies instead of a single resonant frequency. Therefore, acoustical transmission loss will increase at each of the multiple resonant frequencies of the resonator and plate assembly versus at a single frequency for the unmodified Helmholtz resonator. By using receptance coupling as the modeling approach, the receptance of the Helmholtz resonator and flexible plate assembly is predicted by coupling receptance models of an unmodified Helmholtz resonator and a clamped plate. Finally, the predicted receptance of the Helmholtz resonator and flexible plate assembly is compared against experimental results.

A phase sensitive parametric seismometer

1966 ◽  
Vol 56 (4) ◽  
pp. 947-959
Author(s):  
P. W. Rodgers
Keyword(s):  
Experimental Data ◽  
Steady State ◽  
Parametric Excitation ◽  
Steady State Response ◽  
Response Characteristics ◽  
State Response ◽  
Phase Sensitive

abstract The steady-state response characteristics of a seismometer do not depend on the phase of the input. A phase-dependent response is obtained by parametric excitation of the seismometer, which is achieved with an electromagnetic spring. A theory is developed for this device and comparisons are made with experimental data. The construction of the seismometer and its application are discussed.

Theoretical analysis of counter-current absorption of a poorly soluble gas based on the PDE-AD model

1986 ◽  
Vol 51 (6) ◽  
pp. 1222-1239 ◽  
Author(s):  
Pavel Moravec ◽  
Vladimír Staněk
Keyword(s):  
Experimental Data ◽  
Liquid Phase ◽  
Gas Phase ◽  
Transfer Functions ◽  
Packed Bed ◽  
Packed Bed Column ◽  
Interfacial Transport ◽  
Gaseous Component ◽  
Poorly Soluble ◽  
Counter Current

Expression have been derived in the paper for all four possible transfer functions between the inlet and the outlet gas and liquid steams under the counter-current absorption of a poorly soluble gas in a packed bed column. The transfer functions have been derived for the axially dispersed model with stagnant zone in the liquid phase and the axially dispersed model for the gas phase with interfacial transport of a gaseous component (PDE - AD). calculations with practical values of parameters suggest that only two of these transfer functions are applicable for experimental data evaluation.

Solubility and Thermodynamic Transfer Functions of Cesium Dianilinetetraisothiocyanatochromate(III)

1998 ◽  
Vol 63 (3) ◽  
pp. 293-298
Author(s):  
Vladislav Holba
Keyword(s):  
Experimental Data ◽  
Isopropyl Alcohol ◽  
Transfer Functions ◽  
Butyl Alcohol ◽  
Aqueous Methanol ◽  
Gibbs Energies ◽  
Gibbs Energy Of Transfer ◽  
Energy Of Transfer ◽  
The Given ◽  
Reference Electrolyte

The solubilities of cesium dianilinetetraisothiocyanatochromate(III) in water as well as in aqueous methanol, isopropyl alcohol, tert-butyl alcohol and acetonitrile were measured as a function of temperature and solvent composition. The Gibbs energies, enthalpies and entropies of transfer of the salt from water to the given solvents have been evaluated from experimental data. The contribution of [Cr(C6H5NH2)2(NCS)4]- ion to the Gibbs energy of transfer of the investigated salt has been calculated using the tetraphenylarsonium tetraphenylborate (TATB) reference electrolyte assumption.

Kinetic analysis of mechanism of intestinal Na+-dependent sugar transport

1985 ◽  
Vol 248 (5) ◽  
pp. C498-C509 ◽  
Author(s):  
D. Restrepo ◽  
G. A. Kimmich
Keyword(s):  
Experimental Data ◽  
Steady State ◽  
Sugar Transport ◽  
Enzyme Kinetic ◽  
Steady State Distribution ◽  
State Distribution ◽  
Least Squares Fit ◽  
Coupling Stoichiometry ◽  
Rate Limiting ◽  
Kinetics Of

Zero-trans kinetics of Na+-sugar cotransport were investigated. Sugar influx was measured at various sodium and sugar concentrations in K+-loaded cells treated with rotenone and valinomycin. Sugar influx follows Michaelis-Menten kinetics as a function of sugar concentration but not as a function of Na+ concentration. Nine models with 1:1 or 2:1 sodium:sugar stoichiometry were considered. The flux equations for these models were solved assuming steady-state distribution of carrier forms and that translocation across the membrane is rate limiting. Classical enzyme kinetic methods and a least-squares fit of flux equations to the experimental data were used to assess the fit of the different models. Four models can be discarded on this basis. Of the remaining models, we discard two on the basis of the trans sodium dependence and the coupling stoichiometry [G. A. Kimmich and J. Randles, Am. J. Physiol. 247 (Cell Physiol. 16): C74-C82, 1984]. The remaining models are terter ordered mechanisms with sodium debinding first at the trans side. If transfer across the membrane is rate limiting, the binding order can be determined to be sodium:sugar:sodium.

Experimental investigation of a model bulb turbine under steady state and load rejection process

2021 ◽  
Author(s):  
Huixiang Chen ◽  
Daqing Zhou ◽  
Kan Kan ◽  
Hui Xu ◽  
Yuan Zheng ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Steady State ◽  
Load Rejection Process ◽  
Bulb Turbine
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