Investigations on Resonant Phenomena in Jelly

 

1.0 Introduction

A large piece of food jelly, having a weight of some 15 kilograms, consisting of 93% water, with some admixture of fish and citric acid, and top garnishing of cream, was investigated. The piece of jelly had the shape of a fish tank, and is thus below called “jelly fish tank”. During initial investigations, parts of the garnishing fell off. It may therefore be said not to have affected the measurements made in the following.

 

2.0 Basic Resonance Modes

Jelly resonance AThe basic resonance frequencies of the jelly were investigated. The resonance frequencies of the longitudinal, transversal and axial modes were excited using a finger. Some 50 fluctuations were registered whereupon the resonance frequencies were calculated.

The following resonance frequencies were calculated:
Longitudinal Resonance Frequency: 1.93 Hz
Transverse Resonance Frequency: 1.80 Hz
Axial Resonance Frequency: 2.23 Hz

Further resonance modes were measured, below called Corner Resonances. When the jelly was excited at some corner, a simultaneous longitudinal and transversal standing wave occurred, yielding a resultant oscillation from corner to corner, having a frequency, quite as was expected, near the transversal and longitudinal resonance frequencies.

 

2.1 Second Order Resonances

Jelly resonance BNow, the jelly fish tank was excited at twice the basic resonance frequency longitudinally, yielding a standing wave that made the jelly body exhibit longitudinal density waves, with bellies and nodes along the sides. The amplitudes at times reached such values that the rest of the garnishing flew off.

 

2.2 Internal Reflections of Shock Waves

Jelly resonances CTo observe how shock waves travelled through the jelly, it was subjected to a shock, a transient having an amplitude of about 10 mm, with partial frequencies far above the resonance frequency. Thus, a shock wave travelled through the medium until it met with a border (the jelly-air interface) which had a refractional index of such magnitude that a reflection occurred.

The oncoming shock wave was of the density type, making the material bulge outward in the border region where the reflection occurred. This resulted in a dilution of material in the neighbouring areas, causing the surface at 90 degrees from previous to curve inwards. As a result of this, a new shock wave started travelling at a 90 degree angle to the previous one, propagating towards the next interface.

At the next interface the procedure repeated, and a new shock wave was created, 90 degrees from the previous one. As the shock wave had travelled some 8 reflections it was completely attenuated, its energy converted into other shock waves with random directions (wobbling in general). The material had at this stage suffered a large amount of internal ruptures, serving as more or less effective shock wave reflectors.

 

2.3 Destructive Testing

Finally, the jelly was investigated regarding its stress limits and maximum amplitudes. The test was conducted in a protected environment (kitchen sink).

As the jelly fish tank was subjected to a longitudinal resonant vibration with a 200 mm peak-peak amplitude for 15 seconds, the structure collapsed in a number of smaller fragments. The fractured surfaces showed structures much like the ones in glass: plane, parallel surfaces, fan-shaped ruptures etc., which points to the material having an amorphous structure.

 

3. Waste Disposal

The waste products remaining from the experiments are planned to be disposed of partly by ingestion of the device under test, partly by just letting time pass...

 

Appendix: Specifications

Specification

Value

Device Under Test

Block of jelly, with admixation of jelly fish of stiffer type

Dimensions

300 x 200 x 250 mm (WxHxD)

Weight

15 kg +/- 0.1 kg

Colour, jelly

Golden brown to light rust colour

Colour, fish

Red, yellow and green

Constitution

Atamon food jelly, or equivalent, prepared according to the manufacturer's instructions


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