4.12.8. FixedLocationΒΆ
-
beamIntegration
('FixedLocation', tag, N, *secTags, *locs) Create a FixedLocation beamIntegration object. This option allows user-specified locations of the integration points. The associated integration weights are computed by the method of undetermined coefficients (Vandermonde system)
\[\sum^N_{i=1}x_i^{j-1}w_i = \int_0^1x^{j-1}dx = \frac{1}{j},\qquad (j=1,...,N)\]Note that NewtonCotes integration is recovered when the integration point locations are equally spaced.
tag
(int)tag of the beam integration N
(int)number of integration points along the element. secTags
(list (int))A list previous-defined section objects. locs
(list (float))Locations of integration points along the element. Places
N
integration points along the element, whose locations are defined inlocs
. on the natural domain [0, 1]. The force-deformation response at each integration point is defined by thesecs
. Both thelocs
andsecs
should be of lengthN
. The order of accuracy for Fixed Location integration is N-1.