Sentence examples for rotation variables from inspiring English sources

The intrinsic formulation of the governing equations of the beam contains neither displacement nor rotation variables.

To say that the formulation is intrinsic means that it is without displacement and rotation variables.

In the intrinsic formulation of the governing equations of the spatial beams, neither displacement nor rotation variables appear.

Systematic geometric errors from manufacturing tolerances and assembly misalignment were found to induce sufficient crosstalk between the target translation and rotation variables to degrade the data quality.

This paper presents a new geometrically exact beam theory that uses no rotation variables and has no singular points in the spatial domain.

The equations of motion are formulated as an index-3 differential-algebraic equation (DAE) on a Lie group, with the advantage that rotation variables can be taken into account without the need of introducing any parameterization.

We investigated the factors determining the levels of disease control obtained with deployment strategies using the principles of cultivar mixture only (constant-mixture strategies) or using cultivar mixture and rotation (variable-mixture strategies).

In modeling highly flexible beams undergoing arbitrary rigid elastic deformations, difficulties exist in describing large rotations using rotational variables, including three Euler angles, two Euler angles, one principal rotation angle plus three direction cosines of the principal rotation axis, four Euler parameters, three Rodrigues parameters, and three modified Rodrigues parameters.

Both integrated (e.g. tillage type, organic management) and specific (e.g. nitrogen fertilization, rotation duration) variables were compared.

The deflection and two rotation field variables of plate are approximated by the MK method, which is employed to construct the shape functions having the delta function property.

Background The patterns and magnitudes of axial femorotibial rotation are variable due to the prosthesis design, ligamentous balancing, and surgical procedures.