Free Vibrations Of A Cantilever


Free Vibrations Of A Cantilever .

Free Vibrations Of A Cantilever

Description of Free Vibrations Of A Cantilever

Free Vibrations Of A Cantilever is part of a range that explores free vibrations in simple one degree of freedom systems.

It introduces students to key scientific terms such as:

  • Simple harmonic motion and frequency of oscillation
  • Beam stiffness
  • Second moment of area
  • Phase difference between displacement and its derivatives

Free Vibrations Of A Cantilever fits to the sturdy Test Frame for study or demonstration. 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. However, in mass spring system, we normally assume a light spring compared to the mass. The vibrating cantilever examines what happen the spring element  is not light. Additionally, it examines a beam as a complete self-contained system, forming the mass and the spring. The vibrating cantilever forms a simple and highly visual example of oscillations that may occur in real structures such as aircraft wings

Experiments of Free Vibrations Of A Cantilever

  • Predicting oscillation frequency using Rayleighs method and the simplified method assuming that the beam is light.
  • Phase difference between displacement and its derivatives.
  • Horizontal cantilever length and frequency of oscillation.
  • Comparison of vertical and horizontal cantilevers.

Specifications of Free Vibrations Of A Cantilever

Nett dimensions and weight: (Mounted horizontally) 280 mm high x 670 mm wide x 130 mm front to back and 7.5 kg

Approximate packed volume and weight: 0.07 m3 and 10 kg

Tools and other parts included:

  • Plain cantilever beam
  • Weighted cantilever beam
  • Beam tip masses 2 x 50 g and 6 x 100 g
  • Hexagon Tool

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