CURV(1): real: Curvature values for which bending moment is specified \(\mathrm {[1/L]}\)

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CURV(N): To be specified in increasing order

BMOMY(1): real: Bending moment around y-axis \(\mathrm {[FL]}\) corresponding to curvature values given above in `Curvature'.

BMOMY(N)

CURV(1): real: Curvature values for which bending moment is specified \(\mathrm {[1/L]}\)

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CURV(N): To be specified in increasing order

PRESS(1): real: Pressure levels for which bending moment is specified \(\mathrm {[F/L^2]}\)

PRESS(N):

BMOMY(1,1): real: Bending moment at curvature I and pressure J \(\mathrm {[FL]}\).

BMOMY(N1,N2)

GT-: real > 0: Torsion stiffness \(\mathrm {[FL^2/Radian]}\)

GT+: real: D.o. for positive twist. Dummy if IGT=1

TMOM(1): real: Torsion moment \(\mathrm {[FL]}\)

TROT(1): real: Torsion angle/length \(\mathrm {[Radian/L]}\)

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TMOM(N):

TROT(N): real:

DAMP: character(4): Data group identifier (the text DAMP)

CHTYPE1: character(5):

CHTYPE2: character(5): Similar to CHTYPE1

CHTYPE3: character(5): Similar to CHTYPE1

CHTYPE4: character(5): Similar to CHTYPE1

A1T: real: Factor for mass proportional damping in axial dofs.

A1TO: real, default: A1T: Factor for mass proportional damping in torsional dofs.

A1B: real, default: A1TO: Factor for mass proportional damping in bending dofs.

A2T: real: Factor for stiffness proportional damping in axial dofs.

A2TO: real, default: A2T: Factor for stiffness proportional damping in torsional dofs.

A2B: real, default: A2TO: Factor for stiffness proportional damping in bending dofs.

DAMP_OPT: character(4), default: TOTA: Option for stiffness contribution to Rayleigh damping

\(\mathrm {F}\): damping force

\(\mathrm {C}\): damping coefficient (strain dependent)

\(\mathrm {\varepsilon }\): relative elongation

\(\mathrm {\dot {\varepsilon }}\): strain velocity

\(\mathrm {P}\): exponent for strain velocity (P >= 1)

IDMPAXI: integer: Damping coefficient code

EXPDMP: real: Exponent for strain velocity

DMPAXI: real: Damping coefficient (constant)

DMPAXI(1): real: Damping coefficient corresponding to relative elongation ELONG(1)

ELONG(1): real: Relative elongation ( )

FRCAXI(1): real: Static friction force corresponding to elongation ELONG(1)

ELONG(1): real: Relative elongation ( )

FRCAXI(2): real, default: FRCAXI(1): Dynamic friction force corresponding to elongation ELONG(2)

ELONG(2): real, default: 1.1 x ELONG(1): Relative elongation ( )

CHTYPE: character: Hydrodynamic load type

the load calculated at a cross-section is reduced in proportional with the instantaneous wet portion of the cross-section

the Froude-Krylov term used longitudinal direction in Morison’s equation is replaced by the product of the dynamic pressure and the submerged area at each end of the element.

if the specified value for external area (AE) is zero, neither hydrostatic nor hydrodynamic loads will act on the cross section. Definitions of dimensional/nondimensional hydrodynamic force coefficients for a fully submerged cross section are given below

CQX: real: Quadratic drag coefficient in tangential direction

CQY: real: Quadratic drag coefficient in normal direction

CAX: real: Added mass per unit length in tangential direction

CAY: real: Added mass per unit length in normal direction

CLX: real: Linear drag force coefficient in tangential direction

CLY: real: Linear drag force coefficient in normal direction

ICODE: integer, default: 1: ICODE Code for input of hydrodynamic force coefficients

D: real, default:\(\sqrt{\mathrm {\frac{4}{\pi }(AE)}}\): Hydrodynamic diameter of the pipe \(\mathrm {[L]}\).

SCFKN: real, default: 1: Scaling factor for the Froude-Krylov term in Morison’s equation in normal direction

SCFKT: real, default: 1: Scaling factor for the Froude-Krylov term in Morison’s equation in tangential direction. Only the values 0.0 and 1.0 are permitted.

\(\mathrm {CDX,CDY}\): are the dimensional quadratic drag force coefficients in local x- and y-directions (i.e. tangential and normal directions)

\(\mathrm {CDLX,CDLY}\): are the dimensional linear drag force coefficients in local x- and y-directions

\(\mathrm {VRELX,VRELY,VRELZ}\): are relative water velocities in local x,y and z-directions

\(\mathrm {CDX=\frac{1}{2}\rho S_WC_{dt}}\)

\(\mathrm {CDY=\frac{1}{2}\rho DC_{dn}}\)

\(\mathrm {CDLX=\rho \sqrt{gS_W}\times S_W^2C^L_{dt}}\)

\(\mathrm {CDLY=\rho \sqrt{gD}\times D^2C^L_{dt}}\)

\(\mathrm {AMX=\rho \frac{\pi D^2}{4}C_{mt}}\)

\(\mathrm {AMY=\rho \frac{\pi D^2}{4}C_{mn}}\)

\(\mathrm {\rho }\): water density

\(\mathrm {g}\): acceleration of gravity

\(\mathrm {S_W}\): cross sectional wetted surface \(\mathrm {(=\pi D)}\)

\(\mathrm {D}\): hydrodynamic diameter of the pipe

\(\mathrm {C_{dt}}\): nondimensional quadratic tangential drag coefficient

\(\mathrm {C_{dn}}\): nondimensional quadratic normal drag coefficient

\(\mathrm {C^L_{dt}}\): nondimensional linear tangential drag coefficient

\(\mathrm {C^L_{dn}}\): nondimensional linear normal drag coefficient

\(\mathrm {C_{mt}}\): nondimensional tangential added mass coefficient

\(\mathrm {C_{mn}}\): normal added mass coefficient

CQX: real: Quadratic drag coefficient in tangential direction

CQY: real: Quadratic drag coefficient in normal direction

ICODE: integer, default: 1: ICODE Code for input of hydrodynamic force coefficients

D: real, default:\(\sqrt{\mathrm {\frac{4}{\pi }(AE)}}\): Hydrodynamic diameter of the pipe \(\mathrm {[L]}\).

SCFKT: real, default: 1: Scaling factor for the Froude-Krylov term in Morison’s equation in tangential direction. Only the values 0.0 and 1.0 are permitted.

CHTVIV: character(8): Time domain VIV load option

NMEM: integer > 0, default: 500: Number of time steps used in calculation of standard deviation

CHH: real >= 0, default: 0.0: Higher harmonic load coefficient (nondimensional). Restricted option

CV: real >= 0: Vortex shedding force coefficient for the (instantaneous) cross-flow load term (nondimensional)

FNULL: real > 0: Natural cross-flow vortex shedding frequency (nondimensional)

FMIN: real > 0: Minimum cross-flow vortex shedding frequency (nondimensional)

FMAX: real > FMIN: Maximum cross-flow vortex shedding frequency (nondimensional)

CVIL: real >= 0: Vortex shedding force coefficient for the (instantaneous) in-line load term (nondimensional)

FNULIL: real > 0: Natural in-line vortex shedding frequency (nondimensional)

FMINIL: real > 0: Minimum in-line vortex shedding frequency (nondimensional)

FMAXIL: real > FMINIL: Maximum in-line vortex shedding frequency (nondimensional)

SN: real >= 0 ⇐1: Solidity ratio (the ratio between thread area and net area) \(\mathrm {[-]}\)

WIDTH1: real >= 0: Net width at segment end 1 \(\mathrm {[L]}\)

WIDTH2: real >= 0: Net width at segment end 2 \(\mathrm {[L]}\)

REDVEL: real >= 0 ⇐ 1: Reduced current velocity factor (the ratio between reduced current speed and ambient current speed due to upstream net shadowing effects \(\mathrm {[-]}\)

\(\mathrm {C_{D0}=\frac{1}{2}\rho \times 0.04}\)

\(\mathrm {C_{D1}=\frac{1}{2}\rho \times (-0.04+SN-1.24SN^2+13.7SN^3)cos(\alpha)}\)

\(\mathrm {C_l=\frac{1}{2}\rho \times (0.57SN-3.54SN^2+10.1SN^3)sin(2\alpha})\)

\(\mathrm {\rho }\): is the water density

\(\mathrm {SN}\): is the net solidity ratio

\(\mathrm {\alpha }\): angle between the flow direction and the net normal vector in the direction of the flow

CAX: real: Added mass per length, tangential direction \(\mathrm {[M/L]}\)

CAY: real: Added mass per length, normal direction \(\mathrm {[M/L]}\)

ICODE: integer, default: 1: ICODE Code for input of hydrodynamic force coefficients

D: real, default:\(\sqrt{\mathrm {\frac{4}{\pi }(AE)}}\): Equivalent hydrodynamic diameter to be used for nondimensional added mass coefficients \(\mathrm {[L]}\).

CHTYPE: character: Type of load coefficients

CDXAERO: real: Quadratic drag coefficient in tangential direction

CDYAERO: real: Quadratic drag coefficient in normal direction

ICODE: integer, default: 1: Code for input of aerodynamic force coefficients

D: real, default:\(\sqrt{\mathrm {\frac{4}{\pi }(AE)}}\): Aerodynamic diameter of the pipe \(\mathrm {[L]}\).

\(\mathrm {CDXa,CDYa}\): are the dimensional quadratic drag force coefficients in local x- and y-directions (i.e. tangential and normal directions)

\(\mathrm {VRELX,VRELY,VRELZ}\): are relative wind velocities in local x,y and z-directions

\(\mathrm {CDXa=\frac{1}{2}\rho _aS_WC_{dta}}\)

\(\mathrm {CDYa=\frac{1}{2}\rho _aDC_{dna}}\)

\(\mathrm {\rho _a}\): air density

\(\mathrm {S_W}\): cross sectional perimeter \(\mathrm {(=\pi D)}\)

\(\mathrm {D}\): aerodynamic diameter of the pipe

\(\mathrm {C_{dta}}\): nondimensional quadratic tangential drag coefficient

\(\mathrm {C_{dna}}\): nondimensional quadratic normal drag coefficient