• This product is part of a range that explores free vibrations in simple ‘one degree of freedom’ systems. 
• A beam with the mass at the end works in a similar way to a mass spring system - the stiffness of the beam simply replaces the stiffness of the spring. 
• The vibrating cantilever examines what happens if the spring element is not light. 
• A back panel fixes to the Test Frame. 
• Panel holds a sturdy clamp and two runners. Clamp holds the beam. 
• Students use the clamp to adjust the oscillating length of the cantilever. 
• The runners hold a non-contacting sensor that measures the oscillations at the end of the cantilever. 
• The sensor has no physical contact with the beam, for negligible damping.
• The vibrating cantilever forms a simple and highly visual example of oscillations that may occur in real structures such as aircraft wings. 

Such as:

• Simple harmonic motion (SHM) and frequency of oscillation.
• Beam stiffness, Rayleigh’s method, Dunkerley’s method, Second moment of area.
• Phase difference between displacement and its derivatives.  

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• This simple piston disc and cylinder form a dash-pot damper that fits to the guide rods under the platform. 
• It works with easily found non-toxic fluids for different damping levels. 
• Students may try their own fluids and their own piston discs for project work. 
• When using the Damper Kit, VDAS can fit its displayed data to underdamped and overdamped viscous damping models. 

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• For use with Free Vibrations Experiments, the Test Frame fits on any standard desk or bench top. 
• Students, teachers or lecturers fit the parts of their free vibrations experiments to the Test Frame to study or demonstrate a free vibrations topic. 
• The Test Frame has two extruded alloy horizontal members each with slotted fixing points to all four sides. 
• The two triangular sides each have adjustable levelling feet. 
• A stable, level Test Frame is essential in vibration experiments to give repeatable and accurate results. 
• Include a storage tray and lid with the Test Frame.
• The sturdy construction is necessary for accurate results in vibration experiments, but this also gives the frame a long service life. 
• The Test Frame also includes a hexagon tool and a spirit level for easy assembly and levelling.
• Despite its sturdy construction, the frame is light enough for two people to move it around the classroom easily.
• This is useful to store tools and smaller parts of your optional experiments, helping prevent accidental loss or damage.

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• The Hertzian Contact Apparatus is a self-contained and easy-to-use unit that shows the nature of contact between two surfaces. 
• It compares experiment results with predictions based on Hertz’s original theories. 
• A hand-operated hydraulic pump and cylinder force the two pads together. 
• Students may rotate the lower pad, a pointer shows the angle of rotation. 
• This allows a study of the effect of different relative curvatures. 
• The apparatus has two pads with curved contact surfaces. The upper pad has a compound radii. 
• The contact zone may be circular or elliptical, depending on the relative angular position of the two pads. 
• Supplied is a transparent scale to measure the contact shape and angle. 
• Locknuts on the threads of the pump work to limit the maximum pressure, preventing damage to the equipment.

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• The main part of the product has a precision machined heavy steel base which holds a high-torque direct-drive variable-speed motor.
• The follower fits to the bottom of a vertical shaft running in low-friction linear bearings. 
• Include a tool for easy changeover of a choice of two followers.  
• The motor shaft connects through a coupling to the main shaft which then passes into the cam test area. 
• Self-aligning heavy-duty bearings support the shaft which has a substantial flywheel. 
• The flywheel reduces speed variations as the torque demand changes during the cam rotation cycle. 
• Students may also fit one of a choice of two compression springs and adjust their preload. 
• These add to the mass of the follower and vertical shaft pushing the follower onto the cam face. 
• Students may also add different masses to alter the mass of the follower and thus the force applied to the cam. 
• The selection of springs, followers and cams allow for a wide range of investigations.
• The cam under test fits to the end of the main shaft, accurately mounted both axially and radially to ensure repeatability.

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• A separate ‘Acceleration and Static Test Stand’ gives extra experiments in measuring angular acceleration and static efficiency. 
• The test stand includes sets of weights to apply turning forces to the shaft of a flywheel.
• A sensor and a multiline display automatically calculate angular acceleration. Students use this to find inertia by experiment. 
• The test stand also allows simple static efficiency tests on the gear drive for comparison with those from dynamic tests on the base unit. 
• A slot to the front of the test stand holds a tray to store your weights and other loose items.
• The flywheel forms a simplified version of one of the gears in the gear drive, to provide a starting point in understanding inertia calculations of more complex gear drives. 

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• A bench-mounting base unit forms the main part of this set of products. 
• The dynamic tests run the input of the different drive units at a given speed using a motor, while measuring the input power. 
• Dynamometer loads the output of the drive unit while measuring the output power. 
• A variable-speed, low-voltage motor provides the shaft input turning force (effort) to the drive. 
• A dynamometer provides the output braking force (load) to the drive. 
• The dynamometer uses electromagnetic braking and a hysteresis effect to provide a variable load at a constant torque irrespective of the speed. 
• Sensors on the motor and dynamometer measure their shaft speed, torque and therefore power in and out at the drive. 
• Flexible couplings with collets connect the drive unit to the motor and dynamometer for quick and accurate alignment. 
• Students use the measurements to find the performance and efficiency of the drive unit.
• Axial trunnions with race bearings hold the motor and the dynamometer for free rotation against their load cell sensors to measure torque accurately.  
• Supplied with a three-shaft gear drive unit as standard, the base unit dynamically tests the gear drive and the other optional drive units. 

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• This gives a simple and quick system set up and changeover time.
• This gives minimal cyclical variation due to inertial load variations.
• A non-contacting sensor measures beam displacement. 
• Students may vibrate the systems manually. 
• The servomotor has its own encoder and advanced controller for accurate speed regulation. 
• The sensor has no physical contact with the oscillating system, for negligable damping. 
• This ensures repeatable results over a range of ambient temperatures. 
• An encoder linked to the rotating exciter mass measures its dynamic position.
• They may also force the vibrations using a high-quality variable speed servomotor driving a rotating offset mass - forming an ‘exciter’.  
• The beam is of high-grade ground steel, and the pivots use high-quality ball races for lowest friction and incidental damping. 
• An accelerometer built into the exciter assembly works to show the phase relationship between beam displacement and acceleration. 
• It also helps to compare measured acceleration with that derived from the displacement using the software. 
• The unit includes a variable-area viscous dashpot damper, for use with a non-toxic fluid (supplied) of stable viscosity. 

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