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OrcaFlex Manual - Orcina

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System Modelling: Data and Results, Lines<br />

304<br />

w<br />

Ex and Ey are perpendicular to Ez and they are defined by specifying the Gamma angle, which is a rotation about Ez.<br />

The Ex and Ey directions are used for reporting results (e.g. the 2 components of shear force). And if the line has<br />

torsion included and the joint twisting stiffness is non-zero, then Ex and Ey also define the line end orientation at<br />

which no torsional moment is applied by the joint.<br />

The connection at a line end is modelled as a ball-joint with this orientation being the preferred "no-moment"<br />

orientation, i.e. the orientation of the line end that gives rise to no moment from any rotational stiffness of the<br />

connection.<br />

If all of the end connection stiffness values are zero, e.g. to model a ball joint that is completely free to rotate, then<br />

the end orientation angles have no effect on the line behaviour. The angles then only serve to define the local x, y<br />

and z-directions that are used to define results (e.g. shear and bend moment components, stress components, etc.)<br />

that depend on the local axes directions.<br />

Bending and Twisting Stiffness<br />

The connection at a line end is modelled as a joint with the specified rotational stiffness. The restoring moments<br />

applied by the joint depend on the deflection angle, which is the difference between the end fitting orientation and<br />

the orientation of the line. The end orientation is therefore the orientation of the line that corresponds to zero<br />

moment being applied by the joint.<br />

The connection stiffness is the slope of the curve of restoring moment against deflection angle.<br />

The bending and twisting connection stiffnesses can be set to:<br />

� Zero: free to rotate with no resistance.<br />

� Non-zero, finite: can rotate but with resistance.<br />

� Infinity: a rigid connection.<br />

� Variable: non-linear (for bending connection stiffness only).<br />

The x bending and y bending values specify the connection bending behaviour for rotation about the end Ex and Ey<br />

directions, respectively. For an isotropic ball joint the two values must be equal; this can conveniently be specified<br />

by setting the y-bending value to '~', meaning 'same as x-value'. A non-isotropic ball joint can be modelled by giving<br />

different x and y bending values; in this case the line must include torsion.<br />

The x bending and y bending behaviour can either be linear or non-linear, as follows:<br />

� For a simple linear behaviour, specify the bending stiffness to be the constant slope of the curve of restoring<br />

moment against deflection angle.<br />

� For a non-linear behaviour, use variable data to specify a table of restoring moment against deflection angle.<br />

<strong>OrcaFlex</strong> uses linear interpolation for angles between those specified in the table, and linear extrapolation for<br />

angles beyond those specified in the table. The restoring bend moment must be zero at zero angle.<br />

The Twisting Stiffness value is only relevant if torsion is included for the line. It specifies the rotational stiffness<br />

about the end Ez direction. For the twisting stiffness this variation is always modelled as linear so the twisting<br />

stiffness you specify should be the slope of the linear angle-moment curve.<br />

A flex joint can be modelled by setting the stiffness values to be non-zero and finite.<br />

Warning: Avoid specifying large connection stiffness values (except the special value Infinity) since they<br />

require very short simulation time steps.<br />

Release at Start of Stage<br />

If desired each line end can be disconnected at the start of a given stage of the simulation. If no release is wanted<br />

then set this item to "~", meaning "not applicable".<br />

Structure<br />

Each line can be made up of up a number of sections with different properties, the sections being defined in<br />

sequence from End A to End B.<br />

Line Type<br />

This determines the properties of the section.

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