F l o r i a n P E T R E S C U\’ s B o o k s S t o r eThe Design of Gearings with High EfficiencyISBN 978-1-4467-9054-0A Short Book Description: Development and diversification of machines and mechanisms with applications in all areas of scientific research requires new systematization and improvement of existing mechanical systems by creating new mechanisms adapted to the modern requirements, which involve more complex topological structures. Modern industry, the practice of engineering design and manufacture increasingly rely more on scientific research results and practical. The processes

via The Efficiency of Gearings – THE DESIGN OF GEARINGS WITH HIGH EFFICIENCY.

 


F l o r i a n   P E T R E S C U’ s   B o o k s   S t o r e

The Design of Gearings with High Efficiency

ISBN 978-1-4467-9054-0


A Short Book Description:

Development and diversification of machines and mechanisms with applications in all areas of scientific research requires new systematization and improvement of existing mechanical systems by creating new mechanisms adapted to the modern requirements, which involve more complex topological structures. Modern industry, the practice of engineering design and manufacture increasingly rely more on scientific research results and practical.

The processes of robotisation of today define and influence the emergence of new industries, with applications in specific environmental conditions, handling of objects in outer space, and are leading teleoperator in disciplines such as medicine, automations, nuclear energetic, etc.

In this context this paper attempts to bring a contribution to science and technology applied in the kinematic and dynamic analysis and synthesis of mechanisms with gearings.

The book presents an original method to determine the efficiency of the gear. The originality of this method relies on the eliminated friction modulus. The work is analyzing the influence of a few parameters concerning gear efficiency. These parameters are: z1 – the number of teeth for the primary wheel of gear; z2 – the number of teeth of the secondary wheel of gear; ?0 – the normal pressure angle on the divided circle; ? – the inclination angle. With the relations presented in this paper, one can synthesize the gear’s mechanisms.

We begin with the right teeth (the toothed gear), with i=-4, once for z1 we shall take successively different values, rising from 8 teeth. One can see that for 8 teeth of the driving wheel the standard pressure angle, ?0=200, is too small to be used (it obtains a minimum pressure angle, ?m, negative and this fact is not admitted; see the first table). In the second table we shall diminish (in module) the value for the ratio of transmission, i, from 4 to 2. We will see how for a lower value of the number of teeth of the wheel 1, the standard pressure angle (a0=200) is too small and it will be necessary to increase it to a minimum value. For example, if z1=8, the necessary minimum value is a0=290 for an i=-4 (see the table 1) and a0=280 for an i=-2 (see the table 2). If z1=10, the necessary minimum pressure angle is a0=260 for i=-4 (see the table 1) and a0=250 for i=-2 (see the table 2). When the number of teeth of the wheel 1 increases, we can decrease the normal pressure angle, a0. We will see that for z1=90 it can take a less value for the normal pressure angle (for the pressure angle of reference), a0=80. In the table 3 we increases the module of i value (the ratio of transmission), from 2 to 6.

In the table 4, the teeth are bended (b?0). The module i takes now the value 2.

The efficiency (of the gear) increases when the number of teeth for the driving wheel 1, z1, increases, and when the pressure angle, ?0, diminishes; z2 and i12 have not so much influence about the efficiency value.

We can easily see that for the value ?0=200, the efficiency takes roughly the value ??0.89 for any values of the others parameters (this justifies the choice of this value, ?0=200, for the standard pressure angle of reference).

But the better efficiency may be obtained only for a ?0?200 (?0<200).

The pressure angle of reference, ?0, can be decreased, when in the same time, the number of teeth for the driving wheel 1, z1, increases, to increase the gears’ efficiency.

Contrary, when we desire to create a gear with a low z1 (for a less gauge), it will be necessary to increase the ?0 value, for maintaining a positive value for ?m (in this case the gear efficiency will be diminished).

When ? increases, the efficiency (?) increases too, but its growth is insignificant. We can see in the last part of the work, that in reality it (? increases) produces a decrease in yield.

The module of the gear, m, has not any influence on the gear’s efficiency value.

When ?0 is diminished one can take a higher normal module, for increasing the addendum of teeth, but the increase of the m at the same time with the increase of the z1 can lead to a greater gauge.

The gears’ efficiency (?) is really a function of ?0 and z1: ?=f(?0,z1); the two angles (?m and ?M) are just the intermediate parameters (intermediate variables).

For a good projection of the gear, it’s necessary a z1 and a z2 greater than 30-60; but this condition may increase the gauge of mechanism; when the numbers of teeth z1 and z2 beyond the 30 value, the efficiency of the gearing are greater, and the values of the two different efficiencies leveled; this can be a great advantage in transmissions, especially in planetary transmissions, where the moments may come from both directions; will result a better and more equilibrated functionality (But these are the subject of a future work).

In the second (and last) part the book presents shortly an original method to obtain the efficiency of the geared transmissions in function of the contact ratio. With the presented relations one can make the dynamic synthesis of the geared transmissions having in view increasing the efficiency of gearing mechanisms in work (the accuracy of calculations will be high).

One calculates the efficiency of a geared transmission, having in view the fact that at one moment there are several couples of teeth in contact, and not just one.

The start model has got four pairs of teeth in contact (4 couples) concomitantly.

The first couple of teeth in contact has the contact point i, defined by the ray ri1, and the pressure angle ai1; the forces which act at this point are: the motor force Fmi, perpendicular to the position vector ri1 at i and the force transmitted from the wheel 1 to the wheel 2 through the point i, Fti, parallel to the path of action and with the sense from the wheel 1 to the wheel 2, the transmitted force being practically the projection of the motor force on the path of action; the defined velocities are similar to the forces (having in view the original kinematics, or the precise kinematics adopted); the same parameters will be defined for the next three points of contact, j, k, l (see fig. 2).

The best efficiency can be obtained with the internal gearing when the drive wheel 1 is the ring; the minimum efficiency will be obtained when the drive wheel 1 of the internal gearing has external teeth. For the external gearing, the best efficiency is obtained when the bigger wheel is the drive wheel; when one decreases the normal angle a0, the contact ratio increases and the efficiency increases as well. The efficiency increases too, when the number of teeth of the drive wheel 1 increases (when z1 increases).

Generally we use gearings with teeth inclined (with bended teeth). For gears with bended teeth, the calculations show a decrease in yield when the inclination angle increases. For angles with inclination which not exceed 25 degree the efficiency of gearing is good (see the table 6). When the inclination angle (?) exceeds 25 degrees the gearing will suffer a significant drop in yield (see the tables 7 and 8).

The calculation relationships (33-35) are general (Have a general nature). They have the advantage that can be used with great precision in determining the efficiency of any type of gearings.

1 Introduction

In this paper the authors present an original method to calculating the efficiency of the gear.

The originality consists in the way of determination of the gear’s efficiency because one hasn’t used the friction forces of couple (this new way eliminates the classical method). One eliminates the necessity of determining the friction coefficients by different experimental methods as well. The efficiency determined by the new method is the same like the classical efficiency, namely the mechanical efficiency of the gear.

Some mechanisms work by pulses and are transmitting the movement from an element to another by pulses and not by friction. Gears work practically only by pulses. The component of slip or friction is practically the loss. Because of this the mechanical efficacy becomes practically the mechanical efficiency of gear.

The paper is analyzing the influence of a few parameters concerning gear efficiency. With the relations presented in this paper, one can synthesize the gear’s mechanisms. Today, the gears are present every where in the mechanical’s world.


 

Author: Florian Ion TIBERIU-PETRESCU Company: UPB POLYTECHNIC UNIVERSITY OF BUCHAREST TMR Department Residence: BUCHAREST – ROMANIA – EUROPE Websites:

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THE DESIGN OF GEARINGS WITH HIGH EFFICIENCY

 

ISBN 978-1-4467-9054-0

THE DESIGN OF GEARINGS WITH HIGH EFFICIENCY

 

ISBN 978-1-4467-9054-0 Development and diversification of machines and mechanisms with applications in all areas of scientific research requires new systematization and improvement of existing mechanical systems by creating new mechanisms adapted to the modern requirements; the gearing mechanisms are found today everywhere: in the industry of machinery construction, in energy industry, in aeronautics and aerospace, in electronics& Electrical, in oil industry, in mechatronics and robotics, etc. In this context this book attempts to bring a contribution to science and technology applied in the kinematic and dynamic analysis and synthesis of mechanisms with gearings. The book presents an original method to determine the efficiency of the gearing; the originality of this method relies on the eliminated friction modulus. With the relations presented in this paper, one can synthesize the gear’s mechanisms; the best efficiency can be obtained with the internal gearing when the drive wheel 1 is the ring. Paperback, 32 pages $15.24 | or File Download, PDF Format $9.21


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Development and diversification of machines and mechanisms with applications in all areas of scientific research requires new systematization and improvement of existing mechanical systems by creating new mechanisms adapted to the modern requirements; the gearing mechanisms are found today everywhere: in the industry of machinery construction, in energy industry, in aeronautics and aerospace, in electronics& Electrical, in oil industry, in mechatronics and robotics, etc. In this context this book attempts to bring a contribution to science and technology applied in the kinematic and dynamic analysis and synthesis of mechanisms with gearings. The book presents an original method to determine the efficiency of the gearing; the originality of this method relies on the eliminated friction modulus. With the relations presented in this paper, one can synthesize the gear’s mechanisms; the best efficiency can be obtained with the internal gearing when the drive wheel 1 is the ring.

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THE DESIGN OF GEARINGS WITH HIGH EFFICIENCY

Development and diversification of machines and mechanisms with applications in all areas of scientific research requires new systematization and improvement of existing mechanical systems by creating new mechanisms adapted to the modern requirements; the gearing mechanisms are found today everywhere: in the industry of machinery construction, in energy industry, in aeronautics and aerospace, in electronics& Electrical, in oil industry, in mechatronics and robotics, etc. In this context this book attempts to bring a contribution to science and technology applied in the kinematic and dynamic analysis and synthesis of mechanisms with gearings. The book presents an original method to determine the efficiency of the gearing; the originality of this method relies on the eliminated friction modulus. With the relations presented in this paper, one can synthesize the gear’s mechanisms; the best efficiency can be obtained with the internal gearing when the drive wheel 1 is the ring.

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“SISTEME MECANICE MOBILE SERIALE ŞI PARALELE” – autori: Florian PETRESCU si Relly PETRESCU, de la Universitatea Politehnica din Bucuresti.

Lucrarea reprezintă o viziune ştiinţifică, unitară, generală, cuprinzătoare şi echidistantă a principalelor probleme pe care le ridică sistemele mecanice, mobile, seriale şi paralele. Se face o prezentare generală, urmată de studiul geometro-cinematic separat, al structurilor seriale şi paralele. Se continuă cu o introducere în dinamica acestor sisteme. Structura sistemelor paralele este vizualizată pe scurt. La sistemele seriale se studiază atât cinematica directă cât şi cea indirectă, în vreme ce la sistemele paralele se urmăreşte numai cinematica indirectă (aceasta fiind mult mai utilă). Prezentarea metodelor de bază este strâns legată de calculul matricial, care este introdus pas cu pas pentru uşurarea înţelegerii fiecărei secvenţe.

Cartea este structurată în 14 capitole, care au avut ca bază de pornire cele 14 cursuri fundamentale pregătite pentru masteranzii de la disciplinele mecatronică, roboţi industriali, manipulatori, sudare automatizată, etc.

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9) – buletin/carte de identitate în copie;

10) – chitanta de plata a taxei de admitere, obtinuta de la secretariatul facultatii.

*) Pentru respectarea prevederilor în vigoare privind regimul actelor de studii în România, toti candidatii vor fi înscrisi la concursul de admitere cu numele din certificatul de nastere, inclusiv în cazurile în care din anumite motive ei si-au schimbat acest nume.

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Kollsman, Inc.

Kollsman, Inc.

Excalibur – MIL STD 1553 interface boards, ARINC 429 data bus and other avionic equipment

Excalibur – MIL STD 1553 interface boards, ARINC 429 data bus and other avionic equipment

TechSAT GmbH :: AFDX, ARINC 429, MIL-STD-1553, CAN, ARINC 615-3, ARINC 615A, ARINC 664, ARINC 665 – Avionics Test Systems, Databus Products, Data Loading Products

TechSAT GmbH :: AFDX, ARINC 429, MIL-STD-1553, CAN, ARINC 615-3, ARINC 615A, ARINC 664, ARINC 665 – Avionics Test Systems, Databus Products, Data Loading Products

ECS – Electronic Cable Specialists

ECS – Electronic Cable Specialists

Tel Air Électronique – Le spécialiste en vente, réparation et installation de systèmes avioniques et accessoires

Tel Air Électronique – Le spécialiste en vente, réparation et installation de systèmes avioniques et accessoires

Micro Vortex Generators – Over 500 Models of Aircraft Certified

Micro Vortex Generators – Over 500 Models of Aircraft Certified

Aerospace Manufacturer | Hypernetics Ltd. | Aircraft Parts | Avionics

Aerospace Manufacturer | Hypernetics Ltd. | Aircraft Parts | Avionics

RADA Electronic Industries – Innovative Defense Electronics

RADA Electronic Industries – Innovative Defense Electronics

Providing precision filtration, restrictors, strainers, fuel filter, hydraulic filters, and high pressure filter

Providing precision filtration, restrictors, strainers, fuel filter, hydraulic filters, and high pressure filter

RTX Systems

RTX Systems

Rotary Actuators, Linear Actuator, Electronics, Motors, Sensors, Flight Controls, Built to Print

Rotary Actuators, Linear Actuator, Electronics, Motors, Sensors, Flight Controls, Built to Print

Glendale International Ltd: Suppliers of Avionics, Flight Data Recorders, Test Equipment from BF Goodrich, Fairchild, L3, ASI

Glendale International Ltd: Suppliers of Avionics, Flight Data Recorders, Test Equipment from BF Goodrich, Fairchild, L3, ASI

Securaplane Technologies, Inc

Securaplane Technologies, Inc

ASSC (Avionics Systems Standardisation Committee) – Standards and Guidance Support for the UK Military

ASSC (Avionics Systems Standardisation Committee) – Standards and Guidance Support for the UK Military

Bryan Wriston Aviation F.A.A. C.R.S.# R2FR683J Mobile Pitot / Static, Altimeter, and Transponder Certifications Dallas, Texas

Bryan Wriston Aviation F.A.A. C.R.S.# R2FR683J Mobile Pitot / Static, Altimeter, and Transponder Certifications Dallas, Texas

Anywhere Map – Aviation GPS & XM Weather

Anywhere Map – Aviation GPS & XM Weather

Aviation Classics, Ltd | Mig Alley USA

Aviation Classics, Ltd | Mig Alley USA

Discount Avionics, ELT Sales and Services, and Sales of the most compact Survival Kits.

Discount Avionics, ELT Sales and Services, and Sales of the most compact Survival Kits.

Navhouse Inertial Navigation System INS Repair & Overhaul for Commercial & Military Fleets

Navhouse Inertial Navigation System INS Repair & Overhaul for Commercial & Military Fleets

Aircraft Components Company

Aircraft Components Company

Steiner Aviation International, Inc.

Steiner Aviation International, Inc.

FlightMaster – Aviation GPS

FlightMaster – Aviation GPS

Welcome to airtaxinet – Online airtaxi reservations

Welcome to airtaxinet – Online airtaxi reservations

Airspeed Aviation – 1-800-335-1603

Airspeed Aviation – 1-800-335-1603

Boeing 737 Type Rating, Airbus A320 Type Rating, Boeing 757 Type Rating – Bond Aviation Services

Boeing 737 Type Rating, Airbus A320 Type Rating, Boeing 757 Type Rating – Bond Aviation Services

Continental Ltd. – Transportation and Logistics

Continental Ltd. – Transportation and Logistics

Dutch Aviation Group

Dutch Aviation Group

Jet Source – Your Complete Aviation Source

Jet Source – Your Complete Aviation Source

War Eagles Air Museum

War Eagles Air Museum

Jets ejecutivos, Aviones privados .MAYORAL AVIATION. Ambulancia aerea, Vuelos corporativos. Air ambulance, executive jets, private flights. Málaga Sevilla, Cordoba, Granada – España. Europa

Jets ejecutivos, Aviones privados .MAYORAL AVIATION. Ambulancia aerea, Vuelos corporativos. Air ambulance, executive jets, private flights. Málaga Sevilla, Cordoba, Granada – España. Europa

AIRAPPOINT

AIRAPPOINT

Welcome to Decatur Jet Center

Welcome to Decatur Jet Center

ionic or beam engines – Beam or ionic pulse engines for aircraft (ship)

ionic or beam engines – Beam or ionic pulse engines for aircraft (ship)

HQ AERO – Aviation Jobs & Employment Recruitment Services

HQ AERO – Aviation Jobs & Employment Recruitment Services

Flight Academy Sweden – Explore the world

Flight Academy Sweden – Explore the world

.:: Aviator Flight Center ::.

.:: Aviator Flight Center ::.

Aviacion.tv – Tu canal de aviación

Aviacion.tv – Tu canal de aviación

Physics Research – Home

Physics Research – Home

Private Jet, Air Charter, Aircrafts / Airplane, Business & Executive Helicopter Charter Rental Service – Private Jets Intl

Private Jet, Air Charter, Aircrafts / Airplane, Business & Executive Helicopter Charter Rental Service – Private Jets Intl

Elite Helicopter Services, helicopter flight lessons, helicopter flight training in Colorado

Elite Helicopter Services, helicopter flight lessons, helicopter flight training in Colorado

Private Jets, Airplanes for sale, rc helicopters, Used Cessna 172, Piper aircraft sales, Military Helicopters

Private Jets, Airplanes for sale, rc helicopters, Used Cessna 172, Piper aircraft sales, Military Helicopters

Airlines Connection – Your aircraft charter connection

Airlines Connection – Your aircraft charter connection

New Aircraft (New ionic engines, or beam engines)

New Aircraft (New ionic engines, or beam engines)

Aircraft Charter, Air Charter, Private Jets, UK, Europe

Aircraft Charter, Air Charter, Private Jets, UK, Europe

AvStop » Number One Online Resource For General Aviation News

AvStop » Number One Online Resource For General Aviation News

Private Aircraft | Charter in South America | Air Charter Service

Private Aircraft | Charter in South America | Air Charter Service

AIRPARK – Airport Parking at Kennedy, LaGuardia, and Newark

AIRPARK – Airport Parking at Kennedy, LaGuardia, and Newark

Accelerated Instrument Flight Training – IFR Rating; FAA Certified Flight Instructor Ground School in Cessna, Piper and Cirrus

Accelerated Instrument Flight Training – IFR Rating; FAA Certified Flight Instructor Ground School in Cessna, Piper and Cirrus

Air Ambulance Services – Air Ambulance Worldwide

Air Ambulance Services – Air Ambulance Worldwide

Piper Aircraft, Inc.

Piper Aircraft, Inc.

About Aircraft-Based Monitoring – Texas Commission on Environmental Quality – www.tceq.state.tx.us

About Aircraft-Based Monitoring – Texas Commission on Environmental Quality – www.tceq.state.tx.us

Dynamics Technology

Dynamics Technology

Aircraft Tools

Aircraft Tools

Elite Helicopter Services, helicopter flight lessons, helicopter flight training in Colorado

Elite Helicopter Services, helicopter flight lessons, helicopter flight training in Colorado

FIVE STAR AVIATION

FIVE STAR AVIATION

Welcome to Flight 101

Welcome to Flight 101

Flickr: “airplane”

Flickr: “airplane”

Forces on an Airplane

Forces on an Airplane

Aviation Museums and Airplane Museum List of the United States,

Aviation Museums and Airplane Museum List of the United States,

Think or Thwim » How To Hide An Airplane Factory

Think or Thwim » How To Hide An Airplane Factory

Airplane Heal Thyself? Self-Repairing Aircraft Could Improve Air Safety | Autopia | Wired.com

Airplane Heal Thyself? Self-Repairing Aircraft Could Improve Air Safety | Autopia | Wired.com

Aerospace Technology

Aerospace Technology

Aircraft Today




























































January 16, 2011

January 16, 2011

January 16, 2011