Flowrate formulation and displacement analyses for deviation function-based gerotor pumps

Author(s):  
D C H Yang ◽  
J Yan ◽  
S-H Tong

This article presents a research on the flowrate formulation and displacement analysis of gerotor pumps. The flowrate formula is based on the deviation function and is applicable to gerotors with any pitch curves and generating curves that are either circular or non-circular. For gerotors with the circular pitch curves and generating curves, the derivation of the formula proposed here is much simpler than the current available one. Two dimensionless parameters, the lobe non-circularity and the pitch non-circularity, are then introduced so that gerotor performance can be analysed systematically. As examples, the specific flowrate and displacement curves with the combinations of sinusoidal and polynomial pitch curves and deviation functions are illustrated. Based on these case studies, it is found that in general the specific displacement increases according to the lobe non-circularity, whereas the pitch non-circularity has only the minimum effects on the performance of pumping displacement. The results of the given case studies also show that the pumps with less lobe numbers are capable to have relatively larger specific displacements.

2010 ◽  
Vol 132 (6) ◽  
Author(s):  
Daniel C. H. Yang ◽  
Jia Yan ◽  
Shih-Hsi Tong

This paper derives formulas for evaluating the flowrate of gerotor pumps. The flowrate formulas are based on a deviation function, and the pitch and generating curves can be circular or noncircular. Two dimensionless parameters, the lobe noncircularity and the pitch noncircularity, are introduced so that gerotor performance can be analyzed systematically.


2012 ◽  
Vol 2 (2) ◽  
pp. 56-70
Author(s):  
Petr Kopečný

This paper concentrates on the area of special educational support provided to individuals living in homes for people with disabilities in the Czech Republic and presents partial research results illustrating the state of the provision of speech therapy to users of social services facilities falling under the jurisdiction of the Ministry of Labour and Social Affairs. The subject of the research is an analysis of support for the development of the communication skills of pupils living in social services facilities. The partial results of the research outline the approaches employed by the managerial staff of the given facilities in implementing special educational procedures, describe forms of speech therapy provision in homes for people with disabilities, and compare the attitudes of teachers and social services staff to the development of communication with the importance attributed to it by speech therapists and demonstrated by the case studies performed.


1999 ◽  
Vol 121 (4) ◽  
pp. 579-586 ◽  
Author(s):  
D. C. H. Yang ◽  
S.-H. Tong ◽  
J. Lin

In this paper a method for generating new conjugate kinematic pairs is developed. This method, called the “Deviation-Function ” method, is to use deviation functions to reshape the original pitch pairs so that the desired profiles of generated pairs can be obtained. A deviation function is defined as the distance between contacts and their corresponding instant centers of two conjugate pairs. In other words, a deviation function measures the amount of deviation of a point on the generated profile from its corresponding point on the original pitch profile. As demonstrated, this new method is applicable to any type of pitch pairs including circular or noncircular and identical or nonidentical. In addition, by using this method, it is relatively easier to realize desired geometrical and mechanical properties into the design.


2014 ◽  
Vol 657 ◽  
pp. 694-698 ◽  
Author(s):  
Ramona Clinciu

The paper presents the results of an experimental study performed on specific measuring devices micrometers, study aimed at determining the calibration life of these measuring devices as a function of the metrological reliability, due to the internal parameter deviation. The experimental study conducted is aimed at determining the calibration life of external micrometers for 0 - 25 mm. The experimental data is obtained in the laboratory conditions and it is represented by the measuring errors, obtained for the same nominal size, experimental data being grouped in samples produced at a certain interval of time, by measuring the same dimension with a set of micrometers.The research performed on the considered set of micrometers can lead to the conclusion that the appropriate moment for performing the calibration for a specific set of measuring devices can be estimated by determining the calibration life based on parameter deviation functions, these being obtained by means of regression analysis. The algorithm for estimation of the calibration life of the measuring devices as a function of the metrological reliability can be used for determining the calibration life of the analysed measuring devices, such as to compare the estimated calibration life with the requirements set in the appropriate standards. In the case of the set of micrometers analysed, the pre-set calibration life proved to be earlier than necessary and the estimation of the calibration life by means of parameter deviation would reduce the total costs of the appropriate operation.


Author(s):  
Na Chen ◽  
Zeshui Xu ◽  
Meimei Xia

Hesitant fuzzy set (HFS), which allows the membership degree of an element to a set represented by several possible values, is considered as a powerful tool to express uncertain information in the process of multi-criteria decision making (MCDM) problems. In this paper, we develop a hesitant fuzzy ELECTRE I (HF-ELECTRE I) method and apply it to solve the MCDM problem under hesitant fuzzy environments. The new method is formulated using the concepts of hesitant fuzzy concordance and hesitant fuzzy discordance which are based on the given score function and deviation function, and employed to determine the preferable alternative. Numerical examples are provided to demonstrate the application of the proposed method, and the influence of different numbers of alternatives on outranking relations is analyzed based on a derived sensitive parameter interval in which a change in the parameters has no effects on the set of the nonoutranked alternatives. The randomly generated numerical cases are also investigated in the framework of the HF-ELECTRE I method. Furthermore, the outranking relations obtained in the HF-ELECTRE I method with those derived from the aggregation operator-based approach and the ELECTRE III and ELECTRE IV methods are discussed.


In this work Data from 2011 census is taken to identify the state which influences more in Population census among the different states identified. The data is considered from Madhya Pradesh, followed with Utter Pradesh, then to Bihar, Bengal and Orissa. Similarly other case studies are also done for Southern Indian states and North Eastern States. Genetic algorithm will be tried to find the optimal location for the given study. A fitting function is calculated for the population data of 2011 using Lagrange Interpolation technique. This fitting function is given as input to Genetic algorithm to find the optimal state which have maximum influence in the population growth among different states of India as per the Case studies done.


Author(s):  
Daniel C. H. Yang ◽  
Shih-Hsi Tong

Abstract In this paper a method for generating new conjugate kinematic pairs is developed. This method, called the “Deviation-Function” method, is to use deviation functions to reshape the original pitch pairs so that the desired profiles of generated pairs can be obtained. A deviation function is defined as the distance between contacts and their corresponding instant centers of two conjugate pairs. In other words, a deviation function measures the amount of deviation of a point on the generated profile from its corresponding point on the original pitch profile. As demonstrated, this new method is superior to the existing methods for conjugate pair generation in three ways: 1. it is applicable to any pitch pairs including circular or noncircular, identical or non-identical; 2. it enables the design of geometric intuition into the generated profiles; and 3. it enables the design of special analytical properties to the generated profiles.


2001 ◽  
Author(s):  
Daniel C. H. Yang ◽  
Shih-Hsi Tong

Abstract In this paper a general flowrate formula for lobe pumps is derived in terms of the pitch and deviation functions of the pump rotor. This formula applies to both circular and noncircular rotor pitch profiles. In order to relate the pump flowrate only to rotor geometry, a dimensionless flowrate expression, called “specific flowrate”, is adopted. This enables the flowrate analysis of lobe pumps without the ad-hoc effects of individual pump size and rotor speed. It is found that pump rotors can be grouped by the similarity of their deviation functions. The specific flowrates of a given group of pump rotors can be expressed solely in terms of their corresponding lobe noncircularities. This formulation enables a systematic and efficient design process of new lobe pumps. Classes of new lobe rotors based on some typical deviation functions are designed, and their corresponding specific flowrate functions are also provided.


Author(s):  
P. M. S. Jones

The request to deliver this paper called for a presentation on the methodology of research and development (R and D) resource allocation in a form suitable for a lay audience. As a pragmatist who believes that tools only have a value if they can be used to improve the way in which the job is done, I would very much prefer to be speaking on practical case studies. Nevertheless, I will attempt to stick to the given remit and describe some of the approaches to R and D resource allocation that are available, and to comment on their practical usefulness based on the experiences of myself and my colleagues at the Programmes Analysis Unit.


2016 ◽  
Vol 2 ◽  
pp. 6-26
Author(s):  
Gábor Alberti ◽  
Judit Kleiber ◽  
Zsuzsanna Schnell ◽  
Veronika Szabó

The paper offers such description of some imperative-like sentence types in potential well-formed Hungarian utterances which includes a parallel representation of the linguistically encoded intensional profiles of the sentence types and actual information states in potential interlocutors’ minds. In our representational dynamic pragmasemantics framework ReALIS, we demonstrate the intensional profiles of the five basic and two “fine-tuned” sentence types as members of a system enabling addressers’ of utterances to express their beliefs, desires and intentions concerning the propositional content of the given utterances as well as the addressees’ and other people’s certain beliefs, desires and intentions (concerning the propositional content, too, or each other’s thoughts). We also provide “case studies” in which actual beliefs, desires and intentions in potential interlocutors’ minds are compared to the linguistically encoded intensional profiles of Hungarian imperative-like sentence types. In this context, the listener’s task is to calculate the speaker’s intentions (and hidden motives) on the basis of the mismatches that this comparison reveals. The paper concludes with an insight into our attempts to model the mind of individuals living with Autism Spectrum Disorder. This latter subproject is relevant since our framework provides solutions to pragmaticosemantic phenomena “at the cost” of undertaking the complex task of actually representing the structure of the human mind itself – which is not impossible but requires an adequate decision of the level of abstraction and the components to be used.


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