All Flashcards

1
Q

1) What is the fundamental rule that is invariably applied to the design of a generic rotary power
transmission system and provide two reasons that justify its application.

2) Go on to briefly explain how this
rule finds use within the power-train of a front engined, rear wheel drive road vehicle. [6]

A

1 )Keep speed as high as possible for as long as possible over the length of the transmission

  • Minimises size and weight of components
  • Reduces cost
  • Reduces the inertia within the drive train
    2) In a conventional Power-train:
  • Engine drives power (high speed & low torque)
  • Transmission (matches engine to road speed, two speed reduction, variable ratio)
  • Final Drive (larger reduction, splits torque and changes direction in drive)
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2
Q

Name and highlight the key features of two mechanisms, found on a modern vehicle, that could employ epicyclic gear trains. [4]

A

1) Transmission Unit:
- numerous configurations available, employing several simple cyclic units

2) Mechanical Kinetic energy recovery system:
- Controls direction of power flow to and from the flywheel

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3
Q

What is the name often given to the transmission arrangement which two pairs of gears?

Why must the gear pairs posses equal numbers of teeth?
[4]

A

1) Co-axial
2) Must have gears of the same module
- Total number of teeth at each stage must be the same

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4
Q

Draw a spur gear tooth and label the 5 key features [5]

A

See notes

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5
Q

Why is it important to assess the magnitude of the first critical speed of a power transmission shaft using
two different approaches? [5]

A
  • Rotating shaft becomes unstable at 1st critical speed
  • Leads to a high amplitude of vibration
  • Two methods of predicting speed, neither is exact:
  • Rayleigh overestimates speed
  • Dunkerly underestimates speed
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6
Q

1) State and briefly justify your choice, of the two areas on a spur gear tooth that could potentially
represent areas around which the tooth could fail when under load. [4]

2) Briefly outline the analytical approaches that permit assessment of the likelihood of failure for each case
identified. [4]

A

1) Contact stresses around the pitch point (normal load)
- based on Hertzian contact theory, stress levels are modified by correction factor

2) Cracking at root due to excessive bending stress (transmitted load)
- based on modified Lewis equation in which tooth represents simple cantilever subject to transmitted load at its tip

diagram needed

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7
Q

What are the main functions that are performed by a conventional clutch unit within an automotive
drive line? []

A
  • Main function is to couple together two coaxial shafts within a transmission.
  • Connect/disconnect two rotating shafts.
  • Matching of shaft velocities should be progressive.
  • When coupled the unit effectively behaves as a rigid coupling.
  • Thereby permitting the transfer of power.
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8
Q

Explain why the thermal management of a clutch mechanism is as important as the torque capacity of
the unit. [4]

A
  • Combination of sliding and normal load across interface develops heat within surface of rotor and ???
  • If the interface becomes too hot, friction material can become glassy and its function can be compromised
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9
Q

Briefly explain why limiting the magnitude of the interface pressure is an important consideration to
take into account when designing a clutch. [4]

A
  • Ability of friction material to generate/ carry normal load is friction material dependent so limits are imposed.
  • Magnitude of pressure will also help limit or counter temperature rise
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10
Q

Briefly explain, using diagrams as appropriate, the mechanism that could lead to the propagation of a
crack at the root of a spur gear.

State the load responsible for this type of failure and indicate how you might choose to mitigate against such a failure.

[5]

A

Tooth behaves as a CANTILEVER BEAM under action of TRANSMITTED LOAD

MAXIMUM BENDING STRESS OCCURS AT ROOT - initiating a crack

A tensile side of loaded tooth

Can be prevented by increasing the tooth modulus

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11
Q

Describe briefly the problem of pitting, identify where you would typically find pitting and indicate the
load that is primarily responsible for its occurrence.

[5]

A

It occurs on the face of a tooth, involving material being removed from around the the pitch point

Driven by the NORMAL LOAD around he interface

Investigated through HERTZ constant analysis

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12
Q

Briefly outline the problem of shaft whirl and outline the procedure followed to estimate the first
critical speed of a power transmission shaft when treated as a single mass system.

[5]

A
  • Power transmission shafts deflect when rotating
  • At a specific speed the magnitude of this deflection becomes large, making the system unstable.
  • This is the critical speed
  • Single mass-spring system is the basis of this theory
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13
Q

State the reason that permits the methods of Rayleigh and Dunkerley provide differing
estimates of critical speed for multiple mass systems and indicate (along with your reason) which method
provides the upper limit.

[5]

A
  • Rayleigh and Dunkerly methods allow multiple masses to be considered
  • Each method predicts a different value
  • Rayleigh overestimates hence is upper limit
  • Dunkerly underestimates hence is lower limit
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14
Q

If shaft speed is greater than the 1st critical speed, how can the shaft be altered to address this?

A
  • The shaft needs to be stiffened to increase the 1st critical speed.
  • Increasing the shaft diameter, this also reduces the stress in the shaft.
  • Decreasing the bearing centre distance
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15
Q

If a gear is to be keyed to a shaft, what condition must be met?

A

The minimum pitch diameter must be twice the shaft diameter

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16
Q

In order to mate, the pinion and gear must satisfy the following 3 conditions?

A

a) They must have identical module.
b) They must have identical pressure angle.
c) They must have identical addendum and dedendum

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17
Q

What is a compound gear train?

A
  • At least one shaft carries two or more gears.
  • The angular velocities of all gears are equal to that of the shaft on which they are mounted.
  • Angular velocity of adjacent shafts fixed by the gear ratio.
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18
Q

What is the Addendum?

A

The radial distance from the pitch circle to the outside diameter

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19
Q

What is the Dedendum?

A

The radial distance from the pitch circle to the root circle

20
Q

What is the Clearance?

A

The difference between the dedendum and the addendum.

Ensures that the tip of the pinion does not interfere with the root of the gear during mesh.

21
Q

What is the pitch point and why is it significant?

A

Smooth relative motion is achieved by ensuring the common normal of the curves of the meshing teeth
pass through a common, stationary point.

This point is called the pitch point.

22
Q

What is the significance of the pressure angle?

A

The angle influences the geometry of the involute curve that defines the tooth
profile.

23
Q

What is the contact ratio?

A

The contact ratio, Cr, is the measure used to quantify the degree of overlap that exists within a given gear pair.

As one pair of teeth are leaving the mesh, then the following pair have made contact and have taken up their share of the load.

24
Q

What are appropriate contact ratios?

A

Cr = 1.0 Only one pair of teeth in contact at any instant in time. Leads to poor all round performance and excessive tip loading of the teeth.

Cr = 1.2 Minimum target value of Cr, tooth load shared between 1 and 2 pairs of teeth.

Cr = 1.4 - 2 Majority of spur gears have a contact ratio in this range.

25
Q

Describe the process of backlash?

A

The inevitable presence of inaccuracies, due to the combination of errors in manufacture and assembly, lead to the fact that that the actual circular tooth thickness must always be less the theoretical value th.

The gears are therefore cut thinner to provide clearance and preclude binding.

The clearance is called backlash.

The magnitude of backlash depends upon manufacturing conditions and application.

26
Q

Where does the point of maximum bending stress on a gear lie?

A

Point of highest tensile bending stress lies at the root of the tooth, where the involute blends into the blank via the fillet.

27
Q

What are the limitations of the Lewis equation? How can this be negated?

A

Considers only static loading and does take into account other factors, such as the stress concentration, Kc , at the root of the tooth fillet.

Use modified Lewis equation

28
Q

What are the consequences of high contact stresses?

A

Pitting- Small particles of material are removed from the surface due to fatigue. Caused by high values of surface stress from high levels of normal load, high local temperature due to high rubbing speeds and inadequate lubrication.

Scoring- Heavy scratch pattern from tooth root to tip. Particle dragged between the sliding teeth. Caused by lubricant failure and overload.

Scuffing- – Destruction of the surface, produced by the plastic flow of material in the surface layers of the gear pair material plus gouges/scratches caused by loose particles that act as abrasives.

29
Q

Why does the Rayleigh method overestimate?

A

Actual displacements are larger than the static displacements used in the formulation and so the energies in both the numerator and denominator will be underestimated.

The error in the denominator will be greater than that in the numerator (involves a squared term) and so the Rayleigh equation delivers an overestimate.

30
Q

List and briefly comment upon the key factors that influence synchronization time.

You should, when necessary, make reference to the equation for synchronization time.

[7]

A

Ro - Change in speed ratio between gears.
Impact reduces as number of gears increases

Ic- Clutch inertia has increased with introduction of heaver/ more powerful vehicles.

Td - mostly due to drag torque through oil churning - low viscosity or synthetic oil reduces this

Ts - Synchronising torque at the cone clutch
Limited improvement by change in cone angle, interface material and oil

31
Q

What performance advantages can be realised through a multi-cone synchroniser? Briefly explain how such a unit functions.

[3]

A

Quicker changes in gear take place with 2 or 3 clutches in synchronization units.

Generate 2 or 3 times the synchronising torque for the same level of axial thrust

32
Q

What are the essential considerations for a clutch to operate effectively.

A

1) FRICTIONAL COUPLING within the clutch is essential to its operation.
- There is a need for the friction material to have a relatively high value of friction along with a low wear rate to deliver a long life to the unit.
2) TEMPERATURE
- Sliding occurs at the high friction interface and combines with a substantial normal load, this generates considerable heat that must be dissipated.
- If the interface gets too hot, the friction material face may become glassy and its function compromised.
- Therefore a limit on interface temperature forms a part of the design specification.

33
Q

How does the function of clutches differ between vehicle start up and gear changes?

A

At vehicle launch: The gradual increase in engine torque to the transmission must be smooth.

During gear change: The separation or take up of the drive (torque) during a gear selection must be both rapid and with minimal fierceness or shock.

34
Q

What is the uniform pressure model in regards to clutches?

A
  • When new, it is reasonable to assume the discs are both perfectly flat and also accurately aligned.
  • This infers that the interface pressure and the clamp load will be uniform over the whole area of the interface.
35
Q

What is the uniform wear model in regards to clutches?

A

-We could also reasonably assume that the mating surfaces in the clutch are rigid and from this it follows that the wear across the interface should also be uniform.

-This is approximately the case for a real clutch after a
period of running in has been undertaken.

36
Q

Why is it beneficial for the sum of the tooth numbers for each stage to be equal in a co-axial transmission.

A
  • Direct coupling of input and output shafts is feasible.

- This provides a further forward gear ratio in the transmission.

37
Q

Why is it beneficial for gear ratios to keep the speed in the transmission as high as possible for as long
as possible?

A

Keeping the speed as high as possible for as long as possible keeps the torque transmitted across each stage low and so reduces mass and inertia.

38
Q

What feature, linked to the design of the driven plate, serve to minimise the transmission of any small oscillation in torque from the engine to the transmission?

A
  • Series of coil springs
  • Equi-spaced around an internal diameter on the driven plate
  • Aligned such that longitudinal axis of spring is tangent to diameter
  • Used to provide degree of torsional compliance and damping.
39
Q

Which component places an upper limit on the magnitude of the interface pressure that can be sustained across the driving and driven plate of the clutch?

A

The friction material places a limit on the magnitude of the interface pressure that can be supported between the flywheel and the pressure plate of the clutch.

40
Q

Why would you not simply reduce the factor of safety in order to effectively enhance the torque capacity of a clutch?

A

Increases the likelihood of excessive clutch slip

Leads to excessive heat generation at the friction interface

41
Q

Describe the TWO main functions of gearbox lubricants?

A
  • To provide a thin viscous film of oil between meshing gear teeth in order to prevent metal-to-metal contact and reduce contact stresses and friction.
  • To remove heat generated by friction between the contacting surfaces in order to prevent high surface temperatures occurring on the gear teeth.
42
Q

How can the torque capacity of a clutch, using the wear model, be increased without changing the radii?

What are the consequences of these increases?

A

Increase the interface pressure to the maximum value it is limited to. This increases wear at the interface.

Increase the coefficient of friction to the maximum value it is limited to. This increases the temperature at the interface.

43
Q

Which out of the uniform pressure and the uniform wear model is preferable and why?

A
  • Uniform wear model is safer and more straightforward in its implementation
  • Uniform wear model requires a larger radius ratio than the uniform pressure model
44
Q

How does the length of a shaft effect its natural frequency?

How does moving the radial load on a shaft towards the centre effect its natural frequency?

How does increasing the 2nd moment of area effect the natural frequency of a shaft?

A
  • Increasing length will lower the natural frequency, increase the deflection and reduce the stiffness of the shaft.
  • Moving the load towards the centre of the shaft will lower the natural frequency, increasing the shaft deflection.
  • Increasing the 2nd moment of area will increase the natural frequency, reducing the deflection and increase the shaft stiffness.
45
Q

What is the symbol for separating load on the formula sheet.

A

Wr