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Magnetic Damping01:17

Magnetic Damping

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Eddy currents can produce significant drag on motion, called magnetic damping. For instance, when a metallic pendulum bob swings between the poles of a strong magnet, significant drag acts on the bob as it enters and leaves the field, quickly damping the motion.
If, however, the bob is a slotted metal plate, the magnet produces a much smaller effect. When a slotted metal plate enters the field, an emf is induced by the change in flux; however, it is less effective because the slots limit the...
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Stresses in a Shaft01:18

Stresses in a Shaft

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The shaft PQ is subjected to a twisting force when equal and opposite torques are applied on either side. A section that cuts perpendicular to the shaft's axis at any arbitrary point R is examined to understand this. When the free-body diagram of the QR segment is analyzed, it reveals the shearing forces exerted by the PR portion onto the QR segment as the shaft experiences twisting.
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Stress Concentrations in Circular Shafts01:18

Stress Concentrations in Circular Shafts

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Consider the elastic torsion formula, which applies to a circular shaft with a consistent cross-section. This formula assumes that the shaft's ends are loaded with rigid plates firmly attached. However, in many cases, torques are applied to the shaft through mechanisms like flange couplings or gears, which are connected by keys inserted into keyways. This application method modifies the stress distribution near the point of torque application, causing it to deviate from the distributions...
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Beams with Symmetric Loadings01:15

Beams with Symmetric Loadings

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The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...
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Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

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Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
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Residual Stresses in Circular Shafts01:10

Residual Stresses in Circular Shafts

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In materials that exhibit elastic and plastic behavior, known as elastoplastic materials, residual stresses can accumulate when these materials experience plastic deformation. This deformation arises from either high levels of shearing stress or significant strains. Residual stresses are internal stresses that persist within a material after removing the external force causing deformation. This phenomenon is demonstrated when observing the behavior of a shaft under torque; notably, the...
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A simplified cryogenic optical resonator apparatus providing ultra-low frequency drift.

The Review of scientific instruments·2020
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Related Experiment Video

Updated: Oct 18, 2025

Cryogenic Liquid Jets for High Repetition Rate Discovery Science
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A simple and efficient passive vibration isolation system for large loads in closed-cycle cryostats.

Eugen Wiens1, Stephan Schiller1

  • 1Institut für Experimentalphysik, Heinrich-Heine-Universität Düsseldorf, 40225 Düsseldorf, Germany.

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Summary

This study introduces a passive vibration damping system for cryostats, significantly reducing horizontal and vertical vibrations. The cost-efficient design enhances performance for sensitive scientific instruments.

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Area of Science:

  • Cryogenics
  • Mechanical Engineering
  • Physics

Background:

  • Cryostats with closed-cycle coolers are susceptible to vibrations, impacting sensitive experiments.
  • Effective vibration isolation is crucial for maintaining optimal operating conditions in low-temperature environments.

Purpose of the Study:

  • To develop and present a passive vibration damping system for cryostats.
  • To achieve multi-directional vibration isolation for a 30 kg payload.

Main Methods:

  • The system utilizes two stages of vertical isolation, including a beryllium copper cantilever blade and extension springs.
  • A pendulum effect from the setup's vertical length provides additional low-frequency isolation.
  • The system was tested at 1.6 K, with resonance frequencies measured at 2.1 Hz, 1.3 Hz, and 0.65 Hz.

Main Results:

  • Achieved significant vibration reduction: 156-fold horizontally and 60-fold vertically in the 5-200 Hz band.
  • Frequency-integrated acceleration reduced from 6.7 × 10-3 g to 4.3 × 10-5 g (horizontal) and 4.3 × 10-3 g to 7.2 × 10-5 g (vertical).

Conclusions:

  • The developed system offers a simple, robust, and cost-efficient solution for vibration isolation in cryostats.
  • This passive damping system effectively upgrades standard cryostats for improved performance.