A dynamic model of a self-vibration cycle in a stirling engine with opposed cylinders

2007 ◽  
Vol 36 (3) ◽  
pp. 218-223 ◽  
Author(s):  
M. Ya. Izrailovich ◽  
A. V. Sinev ◽  
V. F. Shcherbakov ◽  
R. V. Kangun
Keyword(s):  
Dynamic Model ◽  
Stirling Engine

Dynamic Simulation of a Beta-Type Stirling Engine With Cam-Drive Mechanism

2010 ◽  
Author(s):  
Ying-Ju Yu ◽  
Chin-Hsiang Cheng
Keyword(s):  
Dynamic Model ◽  
Dynamic Simulation ◽  
Rotational Speed ◽  
Friction Torque ◽  
Stirling Engine ◽  
Operating Conditions ◽  
Drive Mechanism ◽  
Mass Moment ◽  
State Regime ◽  
The Individual

Dynamic simulation of a beta-type Stirling engine with cam-drive mechanism has been performed. A dynamic model associated with the cam-drive mechanism has been developed. Upon obtaining the gas pressure inside the chambers, the derived dynamic model is used to evaluate the transient rotational speed of the engine before the steady-state regime is reached. The torque of the engine can be calculated as long as the gas force, the inertia torque, the friction torque, and the load torque are evaluated. In this study, the mass moment of inertia of the flywheel is firstly calculated. The friction torque is assumed to be proportional to the time-varied rotational speed which is obtained by experiments. The weight of the individual parts of the engine has also been considered. An extensive parametric study of the engine under different geometrical and operating conditions has been performed and results are presented.

Development and Performance Measurements of a Beta-Type Free-Piston Stirling Engine Along With Dynamic Model Predictions

2017 ◽  
Vol 139 (11) ◽  
Author(s):  
Kyuho Sim ◽  
Dong-Jun Kim
Keyword(s):  
Dynamic Model ◽  
Stirling Engine ◽  
Electric Heater ◽  
Performance Measurements ◽  
Free Piston ◽  
Dynamic Behaviors ◽  
Output Performance ◽  
Model Predictions ◽  
And Performance ◽  
Free Piston Stirling Engine

This paper presents the development and performance measurements of a beta-type free-piston Stirling engine (FPSE) along with dynamic model predictions. The FPSE is modeled as a two degrees-of-freedom (2DOF) vibration system with the equations of motion for displacer and piston masses, which are connected to the spring and damping elements and coupled by working pressure. A test FPSE is designed from root locus analyses and developed with flexure springs and a dashpot load. The stiffness of the test springs and the damping characteristics of the dashpot are identified through experiments. An experimental test rig is developed with an electric heater and a water cooler, operating under the atmospheric air. The piston dynamic behaviors, including the operating frequency, piston stroke, and phase angle, and engine output performance are measured at various heater temperatures and external loads. The experimental results are compared to dynamic model predictions. The test FPSE is also compared to a conventional kinematic engine in terms of engine output performance and dynamic adaptation to environments. Incidentally, nonlinear dynamic behaviors are observed during the experiments and discussed in detail.

scholarly journals Experimental and Dynamic Analysis of a Small-Scale Double-Acting Four-Cylinder α-Type Stirling Engine

2021 ◽  
Vol 13 (15) ◽  
pp. 8442
Author(s):  
Chin-Hsiang Cheng ◽  
Yi-Han Tan ◽  
Tzu-Sung Liu
Keyword(s):  
Numerical Model ◽  
Dynamic Model ◽  
Thermodynamic Model ◽  
Heating Temperature ◽  
Engine Performance ◽  
Transient Behavior ◽  
Stirling Engine ◽  
Small Scale ◽  
Working Zone ◽  
Shaft Power

This research studies the double-acting four-cylinder α-type Stirling engine. A numerical model is developed by combining the thermodynamic model and dynamic model to study the engine performance. The pressure values of the working zone calculated using the thermodynamic model are taken into the dynamic model to calculate the forces acting on the mechanism. Then, the dynamic model further calculates the displacement, velocity, and acceleration of the mechanism link to provide the pistons’ displacements for the thermodynamic model. The model is also validated using experimental data obtained from testing an engine prototype. Under a heating temperature of 1000 K, cooling temperature of 315 K, charged pressure of 10 bar, and loading torque of 0.33 Nm, the engine is capable of achieving a shaft power of 26.0 W at 754 rpm. In addition, the thermal properties and the transient behavior of the engine can be further simulated using the validated numerical model.

Development of an improved dynamic model of a Stirling engine and a performance analysis of a cogeneration plant

2014 ◽  
Vol 73 (1) ◽  
pp. 608-621 ◽  
Author(s):  
Antón Cacabelos ◽  
Pablo Eguía ◽  
José Luís Míguez ◽  
Guillermo Rey ◽  
Maria Elena Arce
Keyword(s):  
Performance Analysis ◽  
Dynamic Model ◽  
Stirling Engine ◽  
Cogeneration Plant ◽  
A Performance

Selected Properties of the Dynamic Model of the Piston-Crankshaft Assembly in Stirling Engine Combined with the Thermodynamic Submodel

2016 ◽  
Vol 17 (05) ◽  
pp. 1740009 ◽  
Author(s):  
Adrian Chmielewski ◽  
Robert Gumiński ◽  
Jȩdrzej M̧czak
Keyword(s):  
Simulation Model ◽  
Dynamic Model ◽  
Degrees Of Freedom ◽  
Angular Acceleration ◽  
Theoretical Work ◽  
Stirling Engine ◽  
Real Object ◽  
Displacement Velocity ◽  
Integrated Simulation ◽  
Working Space

This work presents a dynamic model of the piston-crankshaft assembly of the Stirling engine with three degrees of freedom combined with the isothermal thermodynamic submodel. The model allowed for consideration of the working gas pressure from the thermodynamic submodel, whose working space was divided into partial volume units and subjected to analysis. Performing the analysis of the physical model and adopting the data from the real object, with the assumption of the static mass reduction, enabled developing of a simulation model of the piston-crankshaft assembly. Subsequently, the model was extended by the part describing pressure changes in the cylinder, theoretical work, theoretical power of the working gas with the assumption of the isothermal heat exchange in the compression and expansion spaces. On the basis of the motion equations shown in the work, the influence of the model’s chosen parameters on the operation of the integrated simulation model was presented and analyzed. The results of the conducted simulations were also additionally derived from an analysis of the displacement, velocity, and piston acceleration curves, as well as the curves of displacement, velocity, and crankshaft angular acceleration. The presented results convey the information about the dynamic operation of the simulated real object working at the preset thermodynamic parameters of the working gas.

A Lumped-Parameter Dynamic Model of a Thermal Regenerator for Free-Piston Stirling Engines

2009 ◽  
Author(s):  
Mark Hofacker ◽  
James Kong ◽  
Eric J. Barth
Keyword(s):  
Dynamic Model ◽  
Control Volume ◽  
Matrix Material ◽  
Stirling Engine ◽  
Functional Requirements ◽  
Free Piston ◽  
Lumped Parameter ◽  
Dynamics And Control ◽  
Free Piston Stirling Engine ◽  
And Control

This paper uses lumped parameter dynamic equations to model the mass flow, piston dynamics, and control volume behavior inside a free-piston Stirling engine. A new model for a Stirling engine thermal regenerator that incorporates a dynamically changing temperature gradient is presented. The use of graphite as a regenerator matrix material is justified despite its limited background by comparing the functional requirements of regenerators to heat exchangers where graphite use is commonplace. Experimental results are used to characterize a graphite regenerator and validate the dynamic model.

Short-term volume and turgor regulation in yeast

2008 ◽  
Vol 45 ◽  
pp. 147-160 ◽  
Author(s):  
Jörg Schaber ◽  
Edda Klipp
Keyword(s):  
Dynamic Model ◽  
Volume Change ◽  
Volume Regulation ◽  
Time Course ◽  
Osmotic Shock ◽  
Intracellular Concentration ◽  
Short Term ◽  
Hydrodynamic Property ◽  
Turgor Regulation ◽  
Thermodynamic Framework

Volume is a highly regulated property of cells, because it critically affects intracellular concentration. In the present chapter, we focus on the short-term volume regulation in yeast as a consequence of a shift in extracellular osmotic conditions. We review a basic thermodynamic framework to model volume and solute flows. In addition, we try to select a model for turgor, which is an important hydrodynamic property, especially in walled cells. Finally, we demonstrate the validity of the presented approach by fitting the dynamic model to a time course of volume change upon osmotic shock in yeast.

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