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G.U.N.T. Gerätebau GmbH, Hanskampring 15-17, 22885 Barsbüttel, Germany Phone: +49 40 670854-0, E-mail: [email protected], Web: www.gunt.de SYSTEME FÜR DIE TECHNISCHE AUSBILDUNG EQUIPMENT FOR ENGINEERING EDUCATION LABORATORY PROPOSAL for Engineering Colleges C23 Statics and Dynamics Contents: 1) Subjects & Learning Topics Covered 2) Schedule of Requirements 3) Equipment Overview (Poster)

LABORATORY PROPOSAL for Engineering Colleges

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Page 1: LABORATORY PROPOSAL for Engineering Colleges

G.U.N.T. Gerätebau GmbH, Hanskampring 15-17, 22885 Barsbüttel, Germany

Phone: +49 40 670854-0, E-mail: [email protected], Web: www.gunt.de

SYSTEME FÜR DIE TECHNISCHE AUSBILDUNG

EQUIPMENT FOR ENGINEERING EDUCATION

LABORATORY PROPOSAL

for Engineering Colleges

C23 Statics and Dynamics

Contents: 1) Subjects & Learning Topics Covered

2) Schedule of Requirements

3) Equipment Overview (Poster)

Page 2: LABORATORY PROPOSAL for Engineering Colleges

SYSTEME FÜR DIE TECHNISCHE AUSBILDUNG

EQUIPMENT FOR ENGINEERING EDUCATION

C23 Statics and Dynamics Laboratory

1) Covered subjects based on the curricula of Engineering Colleges

The major topics of learning of this laboratory include – but are not limited to – the following activities:

familiarisation with a crank mechanism with fixed and oscillating cylinder

investigation of a revolving crank slider

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

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

representation of the non-uniform transmission of a universal joint

determine the gimbal error

how the arrangement of the universal joints and the deflection angle affect the gimbal error

verifying Ackermann’s steering principle

calculate the wheelbase

determine the lead angle and the steering error

investigation of single-stage or multistage spur gears

investigation of planetary gears

determine the transmission ratio

investigation of the centrifugal force as a function of o the speed o the size of the rotating mass

the rotation radius

inertial or apparent force

interference of a rotational movement on a translational movement

visualisation of the Coriolis force effect

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

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

dynamic fundamental law of rotational movement

experimental verification of the gyroscopic laws

familiarisation with the three gyro axes

Page 3: LABORATORY PROPOSAL for Engineering Colleges

SYSTEME FÜR DIE TECHNISCHE AUSBILDUNG

EQUIPMENT FOR ENGINEERING EDUCATION

calculation of gyroscopic moments

study the effect of precession

kinetics and kinematics of the following centrifugal systems o Porter governor o Proell governor o Hartnell governor

adjustment of centrifugal governors

recording the governor characteristic curves and setting curves

calculation of the structural design and adjustment of different governors

determining angular acceleration and mass moment on gears

determining friction and gear efficiency

oscillation period and centre of gravity of rod pendulum

reduced pendulum length and centre of inertia of the rod pendulum

influence of thread length on the oscillation period

determine the oscillation period as a function of o the length of the torsion bar o the diameter of the torsion bar

the rotating mass and its shape

determine the rigidity of a helical spring

determine the natural frequency of a spring-mass system

investigate the effect of mass and mass distribution

difference between static and dynamic friction

friction forces as a function of o normal force o sliding velocity (relative velocities of the friction partners) o material pairing o surface properties of the friction partners o size of the contact area

slip/stick effect

determination of friction coefficients

resulting shape of the contact area under point contact with different radii of curvature

shape of the contact area as a function of the contact force

influence of an additional transverse component of the contact force

fundamentals of the equilibrium of moments: acting forces, generated moments and equilibrium

effect of forces as a function of pulley diameter

relation between power savings and cable route

determination of the friction coefficients of various material pairings

transition from static to dynamic

static equilibrium of forces on the inclined plane

determination of the angle of inclination as from which sliding occurs (calculation and verification by experiment)

effect of wrap angle, coefficient of friction and cable force (Eytelwein’s belt friction formula)

comparison of flat belts and V-belts

consequences of an unadapted V-belt groove

Page 4: LABORATORY PROPOSAL for Engineering Colleges

SYSTEME FÜR DIE TECHNISCHE AUSBILDUNG

EQUIPMENT FOR ENGINEERING EDUCATION

2) Schedule of requirements

Item No. Description Code Quantity

Item 1 Kinematic model: crank mechanism KI 110 1 pcs.

Item 2 Kinematic model: crank slider KI 120 1 pcs.

Item 3 Kinematic model: four-joint link KI 130 1 pcs.

Item 3 Kinematic model: Whitworth quick return mechanism KI 140 1 pcs.

Item 4 Kinematic model: Hooke's coupling KI 150 1 pcs.

Item 5 Kinematic model: Ackermann steering mechanism KI 160 1 pcs.

Item 6 Kinematic model: gear drive GL 105 1 pcs.

Item 7 Centrifugal force TM 600 1 pcs.

Item 8 Coriolis force TM 605 1 pcs.

Item 9 Rotational inertia TM 610 1 pcs.

Item 10 Rolling disk on inclined plane TM 611 1 pcs.

Item 11 Kinetic model: flywheel TM 612 1 pcs.

Item 12 Gyroscope TM 630 1 pcs.

Item 13 Centrifugal governor TM 632 1 pcs.

Item 14 Dynamic behaviour of multistage spur gears GL 210 1 pcs.

Item 15 Dynamic behaviour of multistage planetary gears GL 212 1 pcs.

Item 16 Rod and gravity pendulum TM 161 1 pcs.

Item 17 Bifilar/trifilar suspension of pendulums TM 162 1 pcs.

Item 18 Torsional vibrations TM 163 1 pcs.

Item 19 Coil spring vibrations TM 164 1 pcs.

Item 20 Dry friction TM 210 1 pcs.

Item 21 Hertzian pressure TM 262 1 pcs.

Item 22 Equilibrium of moments on pulleys TM 121 1 pcs.

Item 23 Equilibrium of moments on a differential pulley block TM 122 1 pcs.

Item 24 Friction on the inclined plane TM 225 1 pcs.

Item 25 Belt drive and belt friction TM 220 1 pcs.

Page 5: LABORATORY PROPOSAL for Engineering Colleges

Dynamics: kinematics Dynamics: kinetics Dynamics: vibrations

Statics

E q u i p m e n t f o r e n g i n e e r i n g e d u c a t i o n

KI 110Kinematic model: crank mechanism Conversion of rotary motion into oscillating motion

TM 610Rotational inertiaMoments of inertia of different mass arrangements and bodies

KI 140Kinematic model: Whitworth quick return mechanismUneven reciprocating motion with slow feed and quick return

TM 600Centrifugal forceLaws on the behaviour of centrifugal forces on rotating masses

GL 105Kinematic model: gear driveInvestigation of transmission ratios on spur gear units

GL 210Dynamic behaviour of multistagespur gearsInvestigation of the dynamics of rotation of one-, two- and three- stage spur gear units

TM 161Rod and gravity pendulumComparison of physical and mathematical pendulum

TM 163Torsional vibrationsDetermination of the oscillation period depending on torsion wire length, diameter and rotating mass

KI 120Kinematic model: crank sliderConversion of a uniform rotary motion into a pure harmonic reciprocating motion

TM 611Rolling disk on inclined planeDetermining moment of inertia on rotating masses by rolling down an inclined plane and by performing a pendulum test

KI 150Kinematic model: Hooke’s couplingPhenomenon of the gimbal error in Hooke’s couplings and how to avoid it

TM 630GyroscopeExperimental verification of the laws of gyroscopes

GL 212Dynamic behaviour of multistageplanetary gearsInvestigation of rotational dynamics of a two-stage epicyclic gear withthree planetary gears each

TM 162Bifilar/trifilar suspension of pendulumsMoments of inertia of different bodies in a rotary pendulum experiment

TM 164Coil spring vibrationsInvestigation of vibrations on a spiral spring rotating mass system

KI 130Kinematic model: four-joint linkConversion of rotary motion into oscillating motion

TM 612Kinetic model: flywheelExperimental determination of the moment of mass inertia of a flywheel

KI 160Kinematic model: Ackermann steering mechanismDetermining the lead angle of a steering trapezoid

TM 632Centrifugal governorCharacteristic curves of different centrifugal force governors

TM 605Coriolis forceDemonstration of the coriolis force in rotating reference system

TM 210Dry frictionA range of experiments relating to static and dynamic friction

TM 121Equilibrium of moments on pulleysClear demonstration of theequilibrium of moments

TM 220Belt friction apparatusInvestigating the influence of the angle of contact, coefficient of friction and belt force on belt drives and belt friction

TM 262Hertzian pressureDemonstration of theresulting characteristicsof the contact area as a function of the contact force

TM 122Equilibrium of moments on a differential pulley blockEquilibrium of forces andmoments and the demonstration of the force reduction on adifferential pulley block

TM 225Friction on the inclined planeExperiments to understand the fundamentals of mechanical friction on an inclined plane

Theory of machines

Statics and dynamics

Made in Germany

Please refer online to our lab proposals at www.gunt.de · services · download · lab proposal

In accordance to curricula of engineering colleges

G.U.N.T. Gerätebau GmbH

Hanskampring 15 -17D-22885 BarsbüttelGermany

phone: +49 (0) 40 67 08 54 - 0fax: +49 (0) 40 67 08 54 - 42e-mail: [email protected]