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Modelling tutorial

Modules

1. Lumped-element Systems
2. Distributed Element Systems
3. Reduced-order Models

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    • Cantilever
      • Displacement along the length:

      • Displacement of the free end (x=0: point at which reduced elements are calculated):

      • Reduced mass of a cantilever:

    where   mL  ...  mass per unit length
                                                             m    ...  beam total mass

      • Reduced compliance of a cantilever:

        • Cantilever with a rectangular cross-section:


    • Beam simply supported on his both ends
      • Displacement along the length:

      • Reduced mass and reduced compliance
        beam of a rectangular cross-section


    • Beam clamped on his both end
      • Reduced mass and reduced compliance
        beam of a rectangular cross-section

1. Lumped-element Systems
2. Distributed Element Systems
3. Reduced-order Models

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