Dynamic Behaviour of Rotary Vane Engines With One, Two and Four Work Units

Volume 2 ◽  
2004 ◽  
Author(s):  
B. V. Librovich ◽  
A. F. Nowakowski
Keyword(s):  
Mathematical Model ◽  
Simple Structure ◽  
Dynamic Behaviour ◽  
Geometrical Structure ◽  
Dynamical Behaviour ◽  
Reciprocating Engine ◽  
Torque Transmission ◽  
Work Units ◽  
Moving Parts

A mathematical model to analyse the dynamic behaviour of a novel rotary vane engine (RVE) is introduced in this paper. The RVE have a number of advantages compare to a majority of other reciprocating engine types. The main advantages are a simple structure and the small number of moving parts. The geometrical structure and dynamical behaviour of engines with a different number of work units is considered in detail. This has been examined through a study of torque transmission with a particular reference to how this is affected by the non-circular geometry of gear pitch curves. A possible method for balancing of asymmetric cogwheels have been proposed as well. The analysis concludes that by using an appropriate design and arrangement of cogwheels and all moving parts, vibration due to impulsive gas torque can be attenuated.

Analysis, Design, and Modeling of a Rotary Vane Engine (RVE)

2004 ◽  
Vol 126 (4) ◽  
pp. 711-720 ◽  
Author(s):  
B. V. Librovich ◽  
A. F. Nowakowski
Keyword(s):  
Coulomb Friction ◽  
Simple Structure ◽  
Dynamical Behavior ◽  
Friction Model ◽  
Reciprocating Engine ◽  
Torque Transmission ◽  
Analysis Design ◽  
Work Units ◽  
Coulomb Friction Model ◽  
Moving Parts

This paper introduces a mathematical model to analyze the dynamic behavior of a novel rotary vane engine (RVE). The RVE can be considered to have a number of advantages when compared to a majority of other reciprocating engine types. The advantages are found in the simple structure and the small number of moving parts. In this paper the geometrical structure and dynamical behavior of engines with a different number of work units is considered in detail. This has been examined through a study of torque transmission with a particular reference to how this is affected by the noncircular geometry of gear pitch curves. Using the Coulomb friction model, consideration has been given to the mechanical power loss due to friction in different parts of the engine, which must be taken into account. The study also proposes a possible method for balancing of asymmetric cogwheels. The analysis concludes that by using an appropriate design and arrangement of cogwheels and all moving parts, vibration can be attenuated due to impulsive gas torque.

The static and dynamic characteristics of a pressure relief valve with a proportional solenoid-controlled pilot stage

2002 ◽  
Vol 216 (2) ◽  
pp. 143-156 ◽  
Author(s):  
R Maiti ◽  
R Saha ◽  
J Watton
Keyword(s):  
Mathematical Model ◽  
Dynamic Characteristics ◽  
Dynamic Behaviour ◽  
Practical Experience ◽  
Pressure Relief Valve ◽  
Relief Valve ◽  
Pressure Relief ◽  
Static And Dynamic Characteristics ◽  
Good Comparison ◽  
The Mathematical Model

The steady state and dynamic characteristics of a two-stage pressure relief valve with proportional solenoid control of the pilot stage is studied theoretically as well as experimentally. The mathematical model is studied within the MATLAB-SIMULINK environment and the non-linearities have been considered via the use of appropriate SIMULINK blocks. The detailed modelling has resulted in a good comparison between simulation and measurement, albeit assumptions had to be made regarding the solenoid dynamic characteristic based upon practical experience. The use of this characteristic combined with additional dynamic terms not previously considered allows new estimations of internal characteristics to be made such as the damping flowrate. The overall dynamic behaviour has been shown to be dominated by the solenoid characteristic relating force to applied voltage.

scholarly journals Bondgraph modelling and simulation of the dynamic behaviour of above-knee prostheses

1987 ◽  
Vol 11 (2) ◽  
pp. 65-70 ◽  
Author(s):  
P. G. Van De Veen ◽  
W. Van Der Tempel ◽  
J. De Vreiss
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Mass Distribution ◽  
Total Mass ◽  
Dynamic Behaviour ◽  
Step Length ◽  
Swing Phase ◽  
Knee Prostheses ◽  
Prosthetic Foot ◽  
Walking Velocity

A mathematical model was used to investigate the dynamic behaviour of an above-knee (AK) prosthesis in the swing phase and to analyse the influence of mass and mass distribution on the maximal stump load and the required energy. The model consists of a bondgraph model of the prosthesis and a “walking” model which predicts the walking velocity, step length and the femoral trajectory. Equipment was developed to measure the inertial properties of the components of the prosthesis. Through computer simulation, stickdiagrams of the swing phase and graphs of the variation with time of the hip and stump forces were obtained. It was found that for a normal AK prosthesis with a knee-lock mechanism the axial stump load is greatest at the beginning and at the end of the swing phase. At a walking velocity of 5 km/hr the maximum axial stump load amounts to 2.1 times the static weight of the prosthesis. The maximum axial stump force appeared to be almost directly proportional to the total mass of the prosthesis but independent of the mass distribution. The required energy also increased with the mass of the prosthesis but is' dependent on mass distribution. Because of their comparable weights the influence of the shoe is almost equal to the influence of the prosthetic foot. Thus lightweight shoes should be used with lightweight prosthetic feet in order to add to their advantages.

scholarly journals Investigation of Seismic Behavior of Container Crane Structures by Shake Table Tests and Mathematical Modeling

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
C. Oktay Azeloglu ◽  
Ayse Edincliler ◽  
Ahmet Sagirli
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Seismic Behavior ◽  
Dynamic Behaviour ◽  
Earthquake Ground Motion ◽  
Shake Table ◽  
Engineering Structures ◽  
Shake Table Tests ◽  
Container Cranes ◽  
Container Crane

This paper is concerned with the verification of mathematical modeling of the container cranes under earthquake loadings with shake table test results. Comparison of the shake table tests with the theoretical studies has an important role in the estimation of the seismic behavior of the engineering structures. For this purpose, a new shake table and mathematical model were developed. Firstly, a new physical model is directly fixed on the shake table and the seismic response of the container crane model against the past earthquake ground motion was measured. Secondly, a four degrees-of-freedom mathematical model is developed to understand the dynamic behaviour of cranes under the seismic loadings. The results of the verification study indicate that the developed mathematical model reasonably represents the dynamic behaviour of the crane structure both in time and frequency domains. The mathematical model can be used in active-passive vibration control studies to decrease structural vibrations on container cranes.

Studying Dynamic Behaviour of Flexible Rotors With an Analytic Model That Includes Non-Linear Supports, Non-Stiff Support Structure and Torsion Flexibility

2007 ◽  
Author(s):  
Heller G. Sa´nchez A. ◽  
Jesu´s M. Pintor B.
Keyword(s):  
Mathematical Model ◽  
Dynamic Analysis ◽  
Dynamic Behaviour ◽  
Mathematical Formulation ◽  
Model Parameters ◽  
Analytic Model ◽  
Support Structure ◽  
Stationary Response ◽  
Rigid Structure ◽  
Flexible Rotors

This article presents a mathematical formulation based on FEM for the dynamic analysis of flexible rotors that are not grounded necessary to a rigid structure. Furthermore, it uses the component synthesis in order to introduce the behavior of the structure where the rotor is grounded. The developed mathematical model calculates the model parameters stationary response.

scholarly journals Assessment of dynamic behaviour of earth dams taking into account large strains

2019 ◽  
Vol 97 ◽  
pp. 05019 ◽  
Author(s):  
Mirziyod Mirsaidov ◽  
Tokhirjon Sultanov ◽  
Javlon Yarashov ◽  
Elyor Toshmatov
Keyword(s):  
Mathematical Model ◽  
Dynamic Behavior ◽  
Geometric Nonlinearity ◽  
Dynamic Behaviour ◽  
Large Strains ◽  
Earth Dams ◽  
Kinematic Effect ◽  
Resonant Modes

This paper presents the results of the assessment and prediction of the dynamic behavior of earth dams of various heights, taking into account large strains (geometric nonlinearity) and inhomogeneous features of structures under multi-component kinematic effects. A mathematical model, methodology and algorithm for estimating dynamic behavior of earth dams taking into account inhomogeneous features of structures and large strains in spatial and plane statements are given. Dynamic behavior of the models of the Pachkamar, Gissarak and Nurek earth dams has been studied taking into account large strains and inhomogeneous features of structures in various pre-resonant and resonant modes under multi-component kinematic effect. A number of new effects associated with the manifestation of large strains in the structure under various dynamic influences are revealed.

Design and Fabrication of a Three-Axis Force Sensor for Underwater Robot Fingers and a Method for Decreasing Error

2013 ◽  
Vol 475-476 ◽  
pp. 411-414
Author(s):  
Ming Hua Luo ◽  
Qing Mei Yao ◽  
Chun Wei Pan ◽  
Xin Jian Liu
Keyword(s):  
Mathematical Model ◽  
Simple Structure ◽  
Force Sensor ◽  
Underwater Robot ◽  
Lead Wire ◽  
Finger Force ◽  
Electronic Circuits ◽  
Block Method ◽  
Proposed Model ◽  
Temperature And Pressure

In this paper, we present a new mathematical model of three-axis force sensor for underwater robot fingers. We designed a kind of sensor based on this model which has a simple structure and can be miniaturized easily. By this model, they can be calculated that the magnitude, direction of finger force. Moreover, we present a new compensating method to decrease the error caused with the variation of temperature and pressure of water and caused with bending of the beams by symmetrical electronic circuits. We proposed compensation block method to solve the problem of heavy lead wire which affecting finger moving in underwater. Finally, an experiment is performed to verify the proposed model.

scholarly journals MODELLING THE DYNAMIC BEHAVIOUR OF THE TRUCK-CRANE

Transport ◽  
2012 ◽  
Vol 26 (4) ◽  
pp. 410-417 ◽  
Author(s):  
Radomir Mijailović
Keyword(s):  
Mathematical Model ◽  
Dynamic Analysis ◽  
Dynamic Behaviour ◽  
Generalized Coordinates ◽  
Mechanical Models

The paper deals with the problem of a dynamic analysis of truck-cranes. Therefore, the article has developed a mechanical-mathematical model having 18 generalized coordinates. Depending on the type of truck crane operation as well as on the fact whether the aim of the article is to conduct the dynamic analysis of the whole truck crane or only that of one of its components, simpler mechanical models are also offered. The presented model is more realistic than those describing the dynamic behaviour of the truck-crane performing all necessary functions, i.e. a mobile means of lifting, transportation and reloading.

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