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Topic: Another question about coordinate transformation
Replies: 3   Last Post: Jan 14, 2013 12:37 AM

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Nasser Abbasi

Posts: 5,601
Registered: 2/7/05
Re: Another question about coordinate transformation
Posted: Jan 14, 2013 12:14 AM
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On 01/13/2013 09:38 PM, Tang Laoya wrote:
> Dear all,
>
> In isoparameteric finite element of second order tetrahedron element,
>the original coordinate (x,y,z) would be transformed to standard
>coordinate (xi, eta, zeta) by shape function. As a result, for
>any (xi_i, eta_i, zeta_i) in the element, the original
>coordinate (x_i,y_i,z_i) can be calculated:
> x_i=sum(N(i)*x(i), i=1,..,10)
> y_i=sum(N(i)*y(i), i=1,..,10)
> z_i=sum(N(i)*z(i), i=1,..,10)
>
> Now my question is: if I give a rotation to the original
>element, the (x_i, y_i, z_i) is transformed to (x_ii, y_ii, z_ii),
> which can be calculated from (xi_ii, eta_ii, zeta_ii), what's the
>relationship between (xi_i, eta_i, zeta_i) and (xi_ii, eta_ii, zeta_ii)?
>are they just the same? how to prove this relationship?
>
>
> Thanks,
> Tang Laoya
>
>


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