## Dynamics

Conversion of rotary motion into oscillating motion

##### Learning objectives / experiments

- crank mechanism with fixed and oscillating cylinder

Conversion of a uniform rotary motion into a pure harmonic reciprocating motion

##### Learning objectives / experiments

- conversion of a uniform rotary motion into a purely harmonic reciprocating motion
- influence of crank length and input angle on the output stroke
- recording the transmission function of a crank slider

Conversion of rotary motion into oscillating motion

##### Learning objectives / experiments

- investigation of the mechanical relationships on the four-joint link
- investigation of the principle of the crank-rocker mechanism, double rocker mechanism and double crank
- verification of the Grashof condition by varying the crank radius, oscillation radius and coupling length

Uneven reciprocating motion with slow feed and quick return

##### Learning objectives / experiments

- investigation of a circumferential crank slider
- influence of crank length and input angle on the output stroke
- recording the transmission function of a circumferential crank slider

Phenomenon of the gimbal error in Hooke's couplings and how to avoid it

##### Learning objectives / experiments

- representation of the non-uniform transmission of a universal joint
- determine the cardan error
- how the arrangement of the universal joints and the deflection angle affect the cardan error

Determining the lead angle of a steering trapezoid

##### Learning objectives / experiments

- testing Ackermann’s steering principle
- calculate the wheelbase
- determine the lead angle and the steering error

Investigation of transmission ratios on spur gear units

##### Learning objectives / experiments

- investigation of single- or multi-stage spur gears
- investigation of planetary gears
- determine the transmission ratio

Moments of inertia of different mass arrangements and bodies

##### Learning objectives / experiments

- investigation of the inertia of rigid bodies in rotational motion
- determine mass moments of inertia of different, regularly shaped bodies
- investigation of the mass moment of inertia as a function of the radius

Determining moment of inertia on rotating masses by rolling down an inclined plane and by performing a pendulum test

##### Learning objectives / experiments

- proof of the law of falling bodies on the inclined plane
- influence of the mass of a body on its acceleration
- determine the mass moment of inertia by rolling experiment and pendulum experiment
- Steiner’s theorem

Experimental determination of the moment of mass inertia of a flywheel

##### Learning objectives / experiments

- determine the mass moment of inertia by experiment
- dynamic fundamental law of rotational movement

Investigation of the dynamics of rotation of one-, two- and three-stage spur gear units

##### Learning objectives / experiments

- determining the angular acceleration on gears
- determining the mass moment of inertia of the gear
- determining the friction
- determining the gear efficiency

Investigation of rotational dynamics of a two-stage epicyclic gear with three planetary gears each

##### Learning objectives / experiments

- determine the transmission ratio for a locked gear
- measure transmitted forces for a locked gear
- gear acceleration under constant driving torque
- influence of the transmission ratio
- determine reduced mass moment of inertia

….

Laws on the behaviour of centrifugal forces on rotating masses

##### Learning objectives / experiments

- investigation of the centrifugal force as a function of
- the speed
- the size of the rotating mass
- the rotation radius

Experimental verification of the laws of gyroscopes

##### Learning objectives / experiments

- experimental verification of the gyroscopic laws
- familiarisation with the three gyro axes
- calculation of gyroscopic moments
- study the effect of precession

Demonstration of the coriolis force in rotating reference systems

##### Learning objectives / experiments

- inertial or apparent force
- interference of a rotational movement on a

translational movement - visualisation of the Coriolis force effect

Characteristic curves of different centrifugal force governors

##### Learning objectives / experiments

- kinetics and kinematics of the following centrifugal

systems- Porter governor
- Proell governor
- Hartnell governor

….

Comparison of physical and mathematical pendulum

##### Learning objectives / experiments

- Period of thread and rod pendulums
- Determination of the centre of gravity on a rod pendulum
- Reduced pendulum length and centre of inertia of the rod pendulum

Moments of inertia of different bodies in a rotary pendulum experiment

##### Learning objectives / experiments

- Oscillation experiments on a mathematical pendulum
- Determination of the centre of inertia of a beam, a cylinder and a

hollow cylinder in a rotary pendulum experiment

Determination of the period of vibration depending on torsion wire length, diameter and rotating mass

##### Learning objectives / experiments

- Determination of the period of torsional vibration as a function of:
- torsion wire length
- torsion wire diameter
- rotating mass and its form

Investigation of vibrations on a spiral spring rotating mass system

##### Learning objectives / experiments

- Determination of the stiffness of a spiral spring
- Determination of the natural frequency of a spiral spring-rotating

mass system

+ with varying total vibrating mass

+ with varying mass distribution

Experiments on damping, resonance, two-weight system and vibration absorption

##### Learning objectives / experiments

- experiments with pendulums
- reversing pendulum
- shortened pendulum length
- spring-mass system

- bar-type oscillator

….

Acquisition and analysis program for measured vibration data

##### Learning objectives / experiments

Experiments supported for TM 150

- natural vibration of a bar-type oscillator
- damped vibration of a bar-type oscillator
- forced vibration of a bar-type oscillator (damped and undamped

resonance)

….

Influence of rotating mass, torsional rigidity and damping factor on the behaviour of a rotary oscillator

##### Learning objectives / experiments

- natural frequency of torsional vibration
- effect of torsional stiffness, rotating mass and damping

Investigation of the free vibration of a bar and using the Rayleigh method to evaluate the natural frequency of a bar SE 112 Mounting Frame required

##### Learning objectives / experiments

- free vibration of a vertical bending bar
- free vibration of a horizontal bending bar
- determination of natural frequencies according to Rayleigh
- influence of free clamping length and weight on natural frequency