Impact Forces of Vanes on Rotor Slots in a Rotary Compressor

2008 ◽  
Author(s):  
Yuan Mao Huang ◽  
Z. C. Yu
Keyword(s):  
Mathematical Model ◽  
Shear Deformation ◽  
Plate Theory ◽  
Hertzian Contact ◽  
Rotary Compressor ◽  
First Order ◽  
Impact Forces ◽  
The Impact ◽  
Abaqus Software ◽  
Good Agreement

This study analyzes the impact of vanes on rotor slots in a sliding vane rotary compressor that is simulated by impact of two plates. The Hertzian contact rule and the first order shear deformation plate theory with consideration of the shear deformation and the rotary inertia are utilized to generate a mathematical model. Impact forces when a vane locates at various locations and time are calculated. The calculated results are compared and show good agreement with those obtained by using ABAQUS software.

Impact Forces of Sliding Vanes on Rotor Slots in a Rotary Compressor

2009 ◽  
Vol 131 (5) ◽  
Author(s):  
Yuan Mao Huang ◽  
Z. C. Yu
Keyword(s):  
Mathematical Model ◽  
Shear Deformation ◽  
Plate Theory ◽  
Hertzian Contact ◽  
Rotary Inertia ◽  
Rotary Compressor ◽  
First Order ◽  
Impact Forces ◽  
Highly Correlated ◽  
Abaqus Software

This study analyzes the impacts of vanes on rotor slots by simulating the impacts of two plates in a sliding vane rotary compressor. The Hertzian contact rule and the first order shear deformation plate theory incorporating the shear deformation and the rotary inertia are used to generate a mathematical model. Impact forces are calculated at various times and positions of the vane. Data generated from the model highly correlated with results obtained from ABAQUS software.

Enhanced First-Order Shear Deformation Theory for Laminated and Sandwich Plates

2005 ◽  
Vol 72 (6) ◽  
pp. 809-817 ◽  
Author(s):  
Jun-Sik Kim ◽  
Maenghyo Cho
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Plate Theory ◽  
Three Dimensional ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Laminated Plates ◽  
Sandwich Plates ◽  
First Order ◽  
Transverse Shear Strains

A new first-order shear deformation theory (FSDT) has been developed and verified for laminated plates and sandwich plates. Based on the definition of Reissener–Mindlin’s plate theory, the average transverse shear strains, which are constant through the thickness, are improved to vary through the thickness. It is assumed that the displacement and in-plane strain fields of FSDT can approximate, in an average sense, those of three-dimensional theory. Relationship between FSDT and three-dimensional theory has been systematically established in the averaged least-square sense. This relationship provides the closed-form recovering relations for three-dimensional variables expressed in terms of FSDT variables as well as the improved transverse shear strains. This paper makes two main contributions. First an enhanced first-order shear deformation theory (EFSDT) has been developed using an available higher-order plate theory. Second, it is shown that the displacement fields of any higher-order plate theories can be recovered by EFSDT variables. The present approach is applied to an efficient higher-order plate theory. Comparisons of deflection and stresses of the laminated plates and sandwich plates using present theory are made with the original FSDT and three-dimensional exact solutions.

scholarly journals A STUDY OF THE DEFLECTIONS OF METAL ROAD GUARDRAIL ELEMENTS

Transport ◽  
2009 ◽  
Vol 24 (3) ◽  
pp. 225-233 ◽  
Author(s):  
Olegas Prentkovskis ◽  
Andrey Beljatynskij ◽  
Rasa Prentkovskienė ◽  
Ivan Dyakov ◽  
Laima Dabulevičienė
Keyword(s):  
Mathematical Model ◽  
Finite Elements ◽  
Traffic Accidents ◽  
Statistical Data ◽  
Elastic Deformations ◽  
One Dimensional ◽  
First Order ◽  
Horizontal Beam ◽  
Deformation Processes ◽  
The Impact

Statistical data on traffic accidents in 2008 in Lithuania is presented. Referring to statistical data, grounding on an obstacle’ makes one‐tenth of all registered traffic accidents ‐ 9.4% (an obstacle may be a road guardrail, a lamp post, a tree, a bar, a gate, etc.). Road guardrails of various types are installed on the shoulders and dividing strips of urban and suburban roads. They are as follows: reinforced concrete guardrails, cable guardrails and metal guardrails. Metal guardrails, consisting of S‐shape metal posts and a protective W‐shape horizontal beam, are most popular. The authors of the present paper examine the deformation processes of the elements of the above mentioned guardrail. A mathematical model of metal road guardrail was developed. Metal road guardrail was modelled using one‐dimensional first‐order finite elements, taking into account only elastic deformations, as well as the effect of soil on the buried post section of the guardrail. Based on the developed mathematical model of metal road guardrail, the deflections of its elements caused by the impact of a vehicle moving at varying speed were determined. The obtained values of deflections of guardrail elements (a protective W‐shape horizontal beam and a S‐shape post) presented in paper do not exceed the admissible values (of beam deflections).

Dynamic Deformation of Orthotropic Cylinders

1989 ◽  
Vol 111 (2) ◽  
pp. 97-101 ◽  
Author(s):  
G. Cederbaum ◽  
R. A. Heller
Keyword(s):  
Shear Deformation ◽  
Dynamic Deformation ◽  
Plate Theory ◽  
Longitudinal Direction ◽  
Sine Wave ◽  
Inertia Effects ◽  
First Order ◽  
Dependent Part ◽  
Orthotropic Shells ◽  
Line Loads

The theory of thick orthotropic shells is used here to analyze a cylinder subjected to dynamic loads. The formulation includes shear deformation and rotatory inertia effects similarly to the first-order, shear deformation, laminated plate theory. Dynamic line loads (along the longitudinal direction) and patch loads are considered. The time-dependent part of the load is a step pulse or a half-sine wave.

Modelling of the Selective Catalytic NOx Reduction for Diesel Engine

2011 ◽  
Vol 71-78 ◽  
pp. 2098-2102
Author(s):  
Hang Xu ◽  
Fang Yin Tu ◽  
Zhi Xia He ◽  
Jun Ma ◽  
Qian Wang
Keyword(s):  
Mathematical Model ◽  
Catalytic Reduction ◽  
Catalytic Converter ◽  
Nox Reduction ◽  
Space Velocity ◽  
Reaction Model ◽  
Future Emission ◽  
Emission Limits ◽  
The Impact ◽  
Good Agreement

As Future emission limits of diesel engines is more stringent, model-based control strategy of selective catalytic reduction (SCR) is becoming necessary. Therefore, a catalytic converter mathematical model for simulating selective catalytic deNOx reaction is very important. In this paper, a one dimension catalytic converter mathematical model that consists of thermal energy model, SCR reaction model and NH3storage model for simulating urea-SCR reaction process is presented. Based on this model, the impact of temperature and gas hourly space velocity (GHSV) on NOx conversion efficiency has been researched. According to the results of simulation, it shows good agreement with experimental data.

scholarly journals Effect of elastic foundation on vibrational behavior of graphene based on first-order shear deformation theory

2018 ◽  
Vol 10 (12) ◽  
pp. 168781401881462
Author(s):  
Mohsen Motamedi ◽  
Amirhossein Naghdi ◽  
Ayesha Sohail ◽  
Zhiwu Li
Keyword(s):  
Shear Deformation ◽  
Elastic Foundation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Free Vibrations ◽  
Mode Shapes ◽  
Circular Plates ◽  
First Order ◽  
Special Case ◽  
Good Agreement

In this study, an investigation of “the free vibrations of hollow circular plates’’ is reported. The study is based on elastic foundation and the results depicted are further extended to study the special case of “graphene sheets.’’ The first-order shear deformation theory is applied to study the elastic properties of the material. A hollow circular sheet is modeled and the vibrations are simulated with the aid of finite element method. The results obtained are in good agreement with the theoretical findings. After the validation, a model of graphene is presented. Graphene contains a layer of honeycomb carbon atoms. Inside a layer, each carbon atom C is attached to three other carbon atoms and produces a sheet of hexagonal array. A 25 nm × 25 nm graphene sheet is modeled and simulated using the validated technique, that is, via the first-order shear deformation theory. The key findings of this study are the vibrational frequencies and vibrational mode shapes.

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