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GEO5 Software

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Alpha method

Setting γ = 0.5 in the Newmark method yields no numerical damping so the participation of high frequency modes, which are just artefacts of the finite elements discretization, cannot be removed. To that end, Hilber, Hughes and Taylor developed the Alpha method to introduce numerical damping while retaining the unconditional stability and second order accuracy of the integration scheme and at the same time filtering out the higher modes.

The parameter α is taken from the interval:

And the parameters β and γ of the integration scheme are calculated directly as:

Setting of Alpha method

Further details are available in the theoretical manual on our website.

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