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The reachable workspace of the continuum robot is a circular symmetry in geometry, so it can be defined by the cross section in plane.
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The shape design problem is defined by the unknown nodal co-ordinates and is combined with a parametric design problem defined by the cross-sections.
The blue lines describe orbits, and the red lines describe symmetry cells A1 and A2 defined by the cross-sections κ1 and κ2.
The pattern of apoptosis is modeled as a stochastic process, which is defined by the action cross section taken from available experimental data.
The source term of the transport equation is defined by the unperturbed flux and the cross section (or optical parameter) changes.
Short-axis area is defined as the cross-section obtained by cutting the LA or LV with a plane parallel to the AV plane (Fig. 4).
The rationale of the approach is that the fundamental equations of continuum mechanics can be expressed by a product of four factors: the functional requirements, the material properties, the shape transformers, and the geometric quantities of a rectangle as defined by its cross-section size.
The buckling, warping and transverse extensions of cross-sections are defined by the linear combination of GBT cross-section deformation modes, and the longitudinal variation of amplitude of each GBT mode is approximated by the cubic B-splines.
Because the compressive stress is developed by the flexural action of the beam and the prestress applied to the cross section, the shear capacity is defined as a function of the flexural deformation and the prestress applied to the cross section.
Using this displacement field, more expressions for the element extension, shear and the cross section stretch can be systematically defined.
The cross section strength interaction diagram was defined by 102 points that were computed using the compatibility of strains and the equilibrium of forces acting on the cross section.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com