Design of Involute Spur Gears with Asymmetric Teeth & Direct Gear
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Gears and Gearing Part 1 Types of Gears Types of Gears
Gears and Gearing Part 1 Types of Gears Types of Gears Spur Helical Bevel Worm Nomenclature of Spur-Gear Teeth Fig. 13–5 Shigley’s Mechanical Engineering Design Rack A rack is a spur gear with an pitch diameter of infinity. The sides of the teeth are straight lines making an angle to the line of centers equal to the pressure angle. Fig. 13–13 Shigley’s Mechanical Engineering Design Tooth Size, Diameter, Number of Teeth Shigley’s Mechanical Engineering Design Tooth Sizes in General Industrial Use Table 13–2 Shigley’s Mechanical Engineering Design How an Involute Gear Profile is constructed A1B1=A1A0, A2B2=2 A1A0 , etc Pressure Angle Φ has the values of 20° or 25 ° 14.5 ° has also been used. Gear profile is constructed from the base circle. Then additional clearance are given. Relation of Base Circle to Pressure Angle Fig. 13–10 Shigley’s Mechanical Engineering Design Standardized Tooth Systems: AGMA Standard Common pressure angles f : 20º and 25º Older pressure angle: 14 ½º Common face width: 35p F p p P 35 F PP Shigley’s Mechanical Engineering Design Gear Sources • Boston Gear • Martin Sprocket • W. M. Berg • Stock Drive Products …. Numerous others Shigley’s Mechanical Engineering Design Conjugate Action When surfaces roll/slide against each other and produce constant angular velocity ratio, they are said to have conjugate action. Can be accomplished if instant center of velocity between the two bodies remains stationary between the grounded instant centers. Fig. 13–6 Shigley’s Mechanical Engineering Design Fundamental Law of Gearing: The common normal of the tooth profiles at all points within the mesh must always pass through a fixed point on the line of the centers called pitch point. -
Back to Basics
BACK TO BASICS. • • Gear Design National Broach and Machine Division ,of Lear Siegler, Inc. A gear can be defined as a toothed wheel which, when meshed with another toothed wheel with similar configura- tion, will transmit rotation from one shaft to another. Depending upon the type and accuracy of motion desired, the gears and the profiles of the gear teeth can be of almost any form. Gears come in all shapes and sizes from square to circular, elliptical to conical and from as small as a pinhead to as large asa house. They are used to provide positive transmis- sion of both motion and power. Most generally, gear teeth are equally spaced around the periphery of the gear. The original gear teeth were wooden pegs driven into the periphery of wooden wheels and driven by other wooden Fig. 1-2- The common normal of cycloidal gears is a. curve which varies wheels of similar construction ..As man's progress in the use from a maximum inclination with respect to the common tangent at the of gears, and the form of the gear teeth changed to suit the pitch point to coincidence with the direction of this tangent. For cycloidal gears rotating as shown here. the arc B'P is theArc of Approach, and the all; application. The contacting sides or profiles of the teeth PA, the Arc of Recess. changed in shape until eventually they became parts of regular curves which were easily defined. norma] of cydoidal gears isa curve, Fig. 1-2, which is not of To obtain correct tooth action, (constant instantaneous a fixed direction, but varies from. -
Interactive Involute Gear Analysis and Tooth Profile Generation Using Working Model 2D
AC 2008-1325: INTERACTIVE INVOLUTE GEAR ANALYSIS AND TOOTH PROFILE GENERATION USING WORKING MODEL 2D Petru-Aurelian Simionescu, University of Alabama at Birmingham Petru-Aurelian Simionescu is currently an Assistant Professor of Mechanical Engineering at The University of Alabama at Birmingham. His teaching and research interests are in the areas of Dynamics, Vibrations, Optimal design of mechanical systems, Mechanisms and Robotics, CAD and Computer Graphics. Page 13.781.1 Page © American Society for Engineering Education, 2008 Interactive Involute Gear Analysis and Tooth Profile Generation using Working Model 2D Abstract Working Model 2D (WM 2D) is a powerful, easy to use planar multibody software that has been adopted by many instructors teaching Statics, Dynamics, Mechanisms, Machine Design, as well as by practicing engineers. Its programming and import-export capabilities facilitate simulating the motion of complex shape bodies subject to constraints. In this paper a number of WM 2D applications will be described that allow students to understand the basics properties of involute- gears and how they are manufactured. Other applications allow students to study the kinematics of planetary gears trains, which is known to be less intuitive than that of fix-axle transmissions. Introduction There are numerous reports on the use of Working Model 2D in teaching Mechanical Engineering disciplines, including Statics, Dynamics, Mechanisms, Vibrations, Controls and Machine Design1-9. Working Model 2D (WM 2D), currently available form Design Simulation Technologies10, is a planar multibody software, capable of performing kinematic and dynamic simulation of interconnected bodies subject to a variety of constraints. The versatility of the software is given by its geometry and data import/export capabilities, and scripting through formula and WM Basic language system. -
Volvo Symbol
Volvo symbol When the decision was taken to start producing Volvo cars in August , financial backer Svenska Kullagerfabriken — SKF — reactivated a company that had been idle since for the purpose. The name of that company was VOLVO and it had been formed in for the manufacture and marketing of bearings for the automotive industry. Not only was the name ingeniously simple, it was also easy to pronounce in most places around the world and with a minimal risk of spelling errors. And best of it all was its immensely strong symbolic connection to the company's entire operations. In its first person singular form, the verb "volvere" becomes "volvo", i. Its Latin form gives rise to several derivations of the word that in one way or another, and in many languages too, describe a rotating movement, for instance, revolver. Everything that rolls When operations started, they were described as follows: "Ball bearings, roller bearings, machines, transmissions, automobiles, bicycles, rolling-stock, transportation devices, means of transport of all kinds and parts of and accessories for the aforementioned products". All those things were not realised but quite a few Volvo automobiles and other transportation devices have been produced over the years. Some other products that also carried the Volvo brand name are such oddities as producer-gas burners, camping trailers and office chairs. Ancient logotype At the same time as VOLVO was reactivated, the ancient chemical symbol for iron, a circle with an arrow pointing diagonally upwards to the right, was adopted as a logotype. This is one of the oldest and most common ideograms in Western culture and originally stood for the planet Mars in the Roman Empire. -
VIRTUAL HOBBING E. BERGSETH Department of Machine Design, KTH, Stockholm, Sweden SUMMARY Hobbing Is a Widely Used Machining Proc
VIRTUAL HOBBING E. BERGSETH Department of Machine Design, KTH, Stockholm, Sweden SUMMARY Hobbing is a widely used machining process to generate high precision external spur and helical gears. The life of the hob is determined by wear and other surface damage. In this report, a CAD approach is used to simulate the machining process of a gear tooth slot. Incremental removal of material is achieved by identifying contact lines. The paper presents an example of spur gear generation by means of an unworn and a worn hob. The two CAD-generated gear surfaces are compared and showed form deviations. Keywords: gear machining, CAD, simulation 1 INTRODUCTION analysis of the tolerances applied to gears, each step in the manufacturing process must be optimized. Better The quality and cost of high precision gears are aspects understanding of the geometrical variations would which are constantly of interest. Demands stemming facilitate tolerance decisions, and make it easier to from increasing environmental awareness, such as meet new demands. lower noise and improved gear efficiency, are added to traditional demands to create (MackAldener [1]) a Gear manufacturing consists of several operations; challenging task for both manufacturers and designers. table 1 shows an example of a gear manufacturing To be able to adjust to these demands, a design must be sequence for high precision external spur or helical robust; that is, it must deliver the target performance gears. regardless of any uncontrollable variations, for example manufacturing variations. Manufacturing variations can include geometrical variations caused by imperfections in the manufacturing process, for example, wear of tools. The geometrical deviations of each part must be limited by tolerances in order to ensure that the functional requirements are met. -
The Kinematics of Conical Involute Gear Hobbing
The Kinematics of Conical Involute Gear Hobbing Carlo Innocenti (This article fi rst appeared in the proceedings of IMECE2007, The technical literature contains plenty of information the 2007 ASME International Mechanical Engineering regarding the tooth fl ank geometry (Refs. 8–9) and the setting Congress and Exposition, November 11–15, 2007, Seattle, of a hobbing machine in order to generate a beveloid gear Washington, USA. It is reprinted here with permission.) (Refs. 10–15). Unfortunately, the formalism usually adopted makes determination of the hobbing parameters a rather involved process, mainly because the geometry of a beveloid Management Summary gear is customarily—though ineffi ciently—specifi ed by It is the intent of this presentation to determine all rigid-body positions of two conical involutes that resorting to the relative placement of the gear with respect mesh together, with no backlash. That information to the standard rack cutter that would generate the gear, even then serves to provide a simple, general approach in if the gear is to be generated by a different cutting tool. To arriving at two key setting parameters for a hobbing make things worse, some of the cited papers on beveloid gear machine when cutting a conical (beveloid) gear. hobbing are hard reading due to printing errors in formulae A numerical example will show application of the and fi gures. presented results in a case study scenario. Conical This paper presents an original method to compute the involute gears are commonly seen in gearboxes parameters that defi ne the relative movement of a hob with for medium-size marine applications—onboard respect to the beveloid gear being generated. -
Dynamic Behavior of Planetary Gears Dr.-Ing
TECHNICAL Dynamic Behavior of Planetary Gears Dr.-Ing. Burkhard Pinnekamp, Dr.-Ing. Michael Heider, and M.Sc. Andreas Beinstingel Introduction Besides power density, reliability and efficiency, noise is always an important criterion for a successful gear design. In many theoretical and experimental in- vestigations and papers, the influences and potential remedies were discussed. For example, in (Ref. 6) the importance of a large overlap ratio, achieved by a large helix angle is described as the most important factor for reducing gear noise. In planetary gear systems of high power density and high gear ratio, heli- cal gears create undesirable tilting mo- ments on the planet gears; therefore, Figure 1 Noise: generation, transmission and radiation. spur gears are still preferred for plan- etary gears — a special challenge with respect to noise. Specifically, the dif- ferent behavior of planetary gears with sequential and symmetric gear mesh is explained in this paper. As described (Ref. 10), the variable mesh stiffness along the path of con- tact in the tooth contact leads to oscil- lating forces on the shafts and bearings, which are transmitted to the casing. The casing vibrations radiate airborne noise (Fig. 1). The influence of tooth geometry on the excitation behavior is determined by the geometry parameters, such as Figure 2 Contributions to single tooth contact deflection along path of contact (Source: FZG TU Munich). profile and overlap ratios, flank modifi- cations and manufacturing deviations. For design to low noise emission, the knowledge of the elastic and dynamic behavior of the transmission system and the excitation mechanisms of the gear mesh is required. -
Engineering Information Spur Gears Gear Nomenclature
Engineering Information Spur Gears Gear Nomenclature ADDENDUM (a) is the height by which a tooth projects GEAR is a machine part with gear teeth. When two gears beyond the pitch circle or pitch line. run together, the one with the larger number of teeth is called the gear. BASE DIAMETER (Db) is the diameter of the base cylinder from which the involute portion of a tooth profile is generated. HUB DIAMETER is outside diameter of a gear, sprocket or coupling hub. BACKLASH (B) is the amount by which the width of a tooth space exceeds the thickness of the engaging tooth on the HUB PROJECTION is the distance the hub extends beyond pitch circles. As actually indicated by measuring devices, the gear face. backlash may be determined variously in the transverse, normal, or axial-planes, and either in the direction of the pitch INVOLUTE TEETH of spur gears, helical gears and worms circles or on the line of action. Such measurements should be are those in which the active portion of the profile in the corrected to corresponding values on transverse pitch circles transverse plane is the involute of a circle. for general comparisons. LONG- AND SHORT-ADDENDUM TEETH are those of BORE LENGTH is the total length through a gear, sprocket, engaging gears (on a standard designed center distance) or coupling bore. one of which has a long addendum and the other has a short addendum. CIRCULAR PITCH (p) is the distance along the pitch circle or pitch line between corresponding profiles of adjacent teeth. KEYWAY is the machined groove running the length of the bore. -
Basic Fundamentals of Gear Drives
Basic Fundamentals of Gear Drives Course No: M06-031 Credit: 6 PDH A. Bhatia Continuing Education and Development, Inc. 22 Stonewall Court Woodcliff Lake, NJ 07677 P: (877) 322-5800 [email protected] BASIC FUNDAMENTALS OF GEAR DRIVES A gear is a toothed wheel that engages another toothed mechanism to change speed or the direction of transmitted motion. Gears are generally used for one of four different reasons: 1. To increase or decrease the speed of rotation; 2. To change the amount of force or torque; 3. To move rotational motion to a different axis (i.e. parallel, right angles, rotating, linear etc.); and 4. To reverse the direction of rotation. Gears are compact, positive-engagement, power transmission elements capable of changing the amount of force or torque. Sports cars go fast (have speed) but cannot pull any weight. Big trucks can pull heavy loads (have power) but cannot go fast. Gears cause this. Gears are generally selected and manufactured using standards established by American Gear Manufacturers Association (AGMA) and American National Standards Institute (ANSI). This course provides an outline of gear fundamentals and is beneficial to readers who want to acquire knowledge about mechanics of gears. The course is divided into 6 sections: Section -1 Gear Types, Characteristics and Applications Section -2 Gears Fundamentals Section -3 Power Transmission Fundamentals Section -4 Gear Trains Section -5 Gear Failure and Reliability Analysis Section -6 How to Specify and Select Gear Drives SECTION -1 GEAR TYPES, CHARACTERISTICS & APPLICATIONS The gears can be classified according to: 1. the position of shaft axes 2. -
A World of Safer Vehicles
A world of safer vehicles 2020 Annual report Innovative brake specialist Haldex is a leading manufacturer of reliable and innovative brake systems and air suspen- sion solutions that enhance the safety, dynamics and durability of heavy vehicles. Haldex’s customers are mainly large manufacturers of trucks, buses and trailers in North America, Europe and Asia. On the aftermarket Haldex offers spare parts and servicing to distri- butors, workshops and large logistics companies. Haldex was founded in Landskrona in 1887 and has since been notable for innovative research and development work that has created groundbreaking technological vehicle solutions. Development today is focused on safety and the future of electrified and connected heavy vehicles. Haldex’s operations are global, with approximately 2,000 employees spread across 19 countries. 2 HALDEX ANNUAL REPORT 2020 Content 4 The year in brief 6 Sustainable brake systems 8 CEO´s statement 10 Market Vision and strategy 12 Goals and outcome 13 Vision and mission 14 Strategy 16 Technology that drives change Safety 18 Business Model Sustainability report Products for safer traffic 21 Overview, goals and outcome environment and vehicles 22 Four pillars of sustainability 24 Safe Haldex 26 Ethical Haldex 28 Green Haldex 30 Humane Haldex Innovation Haldex regions 32 Region: Americas Innovative technology 34 Region: Europe that drives change 36 Region: Asia 39 Directors’ report 42 Risks and risk management Group Service 52 Income statement 52 Statement of comprehensive income High level of service -
Företag Inom Fordonsindustrin 2006 - 2010
VINNOVA AnaLYS VA 2012:06 FÖRETAG INOM FORDONSINDUSTRIN 2006 - 2010 - NATIONELLA, REGIONALA OCH SEKTORIELLA KLUSTERPROFILER SOM UNDERLAG FÖR ANALYS- OCH STRATEGIARBETE Titel : Företag inom fordonsindustrin 2006 - 2010 - Nationella, regionala och sektoriella klusterprofiler som underlag för analys- och strategiarbete Författare: Tage Dolk & JC Persson - Addendi AB Serie: VINNOVA Analys VA 2012:06 ISBN: 978-91-86517-67-0 ISSN: 1651-355X Utgiven: Juni 2012 Utgivare: VINNOVA - Verket för Innovationssystem/Swedish Governmental Agency for Innovation Systems Diarienummer: 2009-02186 VINNOVA stärker Sveriges innovationskraft för hållbar tillväxt och samhällsnytta VINNOVA är Sveriges innovationsmyndighet. Vår uppgift är att främja hållbar tillväxt genom att förbättra förutsättningarna för innovation och att finansiera behovsmotiverad forskning. VINNOVAs vision är att Sverige ska vara ett globalt ledande forsknings- och innovationsland som är attraktivt att investera och bedriva verksamhet i. Vi främjar samverkan mellan företag, universitet och högskolor, forskningsinstitut och offentlig verksamhet. Det gör vi genom att stimulera ökat nyttiggörande av forskning, investera långsiktigt i starka forsknings- och innovationsmiljöer och genom att utveckla katalyserande mötesplatser. VINNOVAs verksamhet är även inriktad på att stärka internationell samverkan. Vi fäster stor vikt vid att samspela med andra forskningsfinansiärer och innovationsfrämjande organisationer för större effekt. Varje år investerar VINNOVA ca 2 miljarder kronor i olika insatser. VINNOVA är en statlig myndighet under Näringsdepartementet och nationell kontaktmyndighet för EU:s ramprogram för forskning och utveckling. Vi är också regeringens expertmyndighet inom det innovationspolitiska området. VINNOVA bildades 1 januari 2001. Vi är drygt 200 personer och har kontor i Stockholm och Bryssel. Generaldirektör är Charlotte Brogren. I publikationsserien VINNOVA Analys publiceras studier, analyser, utredningar och utvärderingar som tagits fram inom eller på uppdrag av VINNOVAs avdelning Verksamhetsutveckling. -
Volvo All Wheel Drive Vehicles
Volvo All Wheel Drive Vehicles VOLVO HAS BEEN MAKING ALL WHEEL DRIVE VEHICLES FOR OVER 20 YEARS NOW. WOW! HAS IT BEEN THAT LONG? AMAZING. Angle gear What exactly does all wheel drive mean? The Purpose All When the vehicle is traveling with relatively equal traction Wheel Drive is a type of four-wheel drive system, and is on the front and rear axles, the two halves of the coupler used to give a car more traction for cornering and all- rotate at nearly the same speed. When the car loses weather safety. A 4WD system uses a transfer case to traction and the front wheels begin to spin, the side of the engage the front and rear axles, locking them together. coupler attached to the front axles will begin to spin faster than the side attached to the rear axles. Alright, let’s get to it. In this article, we’ll be talking about maintaining all wheel drive vehicles, diagnosing some This difference in speed causes a shearing effect on the familiar and unfamiliar problems. dilatant fluid that the coupling is immersed in. When the fluid heats up, it quickly transforms from a liquid into a Your basic Volvo all wheel drive system consists of two state resembling a solid, locking the plates together and axles in front and two axles in the rear, and a transfer case forcing the two sides of the coupler to be locked together. or, as Volvo calls it, an angle gear, that connects the front This type of AWD system required almost no maintenance wheels to the rear using a driveshaft.