sixDoFRigidBodyMotionI.H

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// * * * * * * * * * * * * * Private Member Functions  * * * * * * * * * * * //

inline Foam::tensor Foam::sixDoFRigidBodyMotion::rotationTensorX
(
    scalar phi
) const
{
    return tensor
    (
        1, 0, 0,
        0, Foam::cos(phi), -Foam::sin(phi),
        0, Foam::sin(phi), Foam::cos(phi)
    );
}


inline Foam::tensor Foam::sixDoFRigidBodyMotion::rotationTensorY
(
    scalar phi
) const
{
    return tensor
    (
        Foam::cos(phi), 0, Foam::sin(phi),
        0, 1, 0,
        -Foam::sin(phi), 0, Foam::cos(phi)
    );
}


inline Foam::tensor Foam::sixDoFRigidBodyMotion::rotationTensorZ
(
    scalar phi
) const
{
    return tensor
    (
        Foam::cos(phi), -Foam::sin(phi), 0,
        Foam::sin(phi), Foam::cos(phi), 0,
        0, 0, 1
    );
}


inline Foam::Tuple2<Foam::tensor, Foam::vector>
Foam::sixDoFRigidBodyMotion::rotate
(
    const tensor& Q0,
    const vector& pi0,
    const scalar deltaT
) const
{
    Tuple2<tensor, vector> Qpi(Q0, pi0);
    tensor& Q = Qpi.first();
    vector& pi = Qpi.second();

    tensor R = rotationTensorX(0.5*deltaT*pi.x()/momentOfInertia_.xx());
    pi = pi & R;
    Q = Q & R;

    R = rotationTensorY(0.5*deltaT*pi.y()/momentOfInertia_.yy());
    pi = pi & R;
    Q = Q & R;

    R = rotationTensorZ(deltaT*pi.z()/momentOfInertia_.zz());
    pi = pi & R;
    Q = Q & R;

    R = rotationTensorY(0.5*deltaT*pi.y()/momentOfInertia_.yy());
    pi = pi & R;
    Q = Q & R;

    R = rotationTensorX(0.5*deltaT*pi.x()/momentOfInertia_.xx());
    pi = pi & R;
    Q = Q & R;

    return Qpi;
}


inline const Foam::PtrList<Foam::sixDoFRigidBodyMotionRestraint>&
Foam::sixDoFRigidBodyMotion::restraints() const
{
    return restraints_;
}


inline const Foam::PtrList<Foam::sixDoFRigidBodyMotionConstraint>&
Foam::sixDoFRigidBodyMotion::constraints() const
{
    return constraints_;
}


inline const Foam::point&
Foam::sixDoFRigidBodyMotion::initialCentreOfRotation() const
{
    return initialCentreOfRotation_;
}


inline const Foam::tensor&
Foam::sixDoFRigidBodyMotion::initialQ() const
{
    return initialQ_;
}


inline const Foam::tensor& Foam::sixDoFRigidBodyMotion::Q() const
{
    return motionState_.Q();
}


inline const Foam::vector& Foam::sixDoFRigidBodyMotion::v() const
{
    return motionState_.v();
}


inline const Foam::vector& Foam::sixDoFRigidBodyMotion::a() const
{
    return motionState_.a();
}


inline const Foam::vector& Foam::sixDoFRigidBodyMotion::pi() const
{
    return motionState_.pi();
}


inline const Foam::vector& Foam::sixDoFRigidBodyMotion::tau() const
{
    return motionState_.tau();
}


inline Foam::point& Foam::sixDoFRigidBodyMotion::initialCentreOfRotation()
{
    return initialCentreOfRotation_;
}


inline Foam::tensor& Foam::sixDoFRigidBodyMotion::initialQ()
{
    return initialQ_;
}


inline Foam::tensor& Foam::sixDoFRigidBodyMotion::Q()
{
    return motionState_.Q();
}


inline Foam::vector& Foam::sixDoFRigidBodyMotion::v()
{
    return motionState_.v();
}


inline Foam::vector& Foam::sixDoFRigidBodyMotion::a()
{
    return motionState_.a();
}


inline Foam::vector& Foam::sixDoFRigidBodyMotion::pi()
{
    return motionState_.pi();
}


inline Foam::vector& Foam::sixDoFRigidBodyMotion::tau()
{
    return motionState_.tau();
}


// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //

inline Foam::scalar Foam::sixDoFRigidBodyMotion::mass() const
{
    return mass_;
}


inline const Foam::diagTensor&
Foam::sixDoFRigidBodyMotion::momentOfInertia() const
{
    return momentOfInertia_;
}


inline const Foam::sixDoFRigidBodyMotionState&
Foam::sixDoFRigidBodyMotion::state() const
{
    return motionState_;
}


inline const Foam::point& Foam::sixDoFRigidBodyMotion::centreOfRotation() const
{
    return motionState_.centreOfRotation();
}


inline const Foam::point&
Foam::sixDoFRigidBodyMotion::initialCentreOfMass() const
{
    return initialCentreOfMass_;
}


inline Foam::point Foam::sixDoFRigidBodyMotion::centreOfMass() const
{
    return transform(initialCentreOfMass_);
}


inline Foam::vector Foam::sixDoFRigidBodyMotion::momentArm() const
{
    return centreOfMass() - motionState_.centreOfRotation();
}


inline const Foam::tensor&
Foam::sixDoFRigidBodyMotion::orientation() const
{
    return Q();
}


inline Foam::vector Foam::sixDoFRigidBodyMotion::omega() const
{
    return  Q() & (inv(momentOfInertia_) & pi());
}


inline bool Foam::sixDoFRigidBodyMotion::report() const
{
    return report_;
}


inline void Foam::sixDoFRigidBodyMotion::newTime()
{
    motionState0_ = motionState_;
}


inline Foam::point& Foam::sixDoFRigidBodyMotion::centreOfRotation()
{
    return motionState_.centreOfRotation();
}


inline Foam::point Foam::sixDoFRigidBodyMotion::velocity
(
    const point& pt
) const
{
    return (omega() ^ (pt - centreOfRotation())) + v();
}


inline Foam::point Foam::sixDoFRigidBodyMotion::transform
(
    const point& initialPoint
) const
{
    return
    (
        centreOfRotation()
      + (Q() & initialQ_.T() & (initialPoint - initialCentreOfRotation_))
    );
}

// ************************************************************************* //