The kinematics of rotational motion describes the relationships between angular velocity, rotation angle, angular acceleration, and time. Each of the kinematic variables for linear motion have a rotational motion counterpart. Like linear kinematic equations, the equations for rotational motion use subscripts...
KINEMATIC EQUATIONS OF NONNOMINAL EULER AXIS/ANGLE ROTATIONOn the converse, the reciprocal equations lead to an expression of the rotation matrix in terms of Euler axis/angle:T12 = I3 - sin φ ex + (1 - cos φ) exex(5)Emanuele L. de Angelis∗Fabrizio Giulietti†...
consist of the kinematic equations that describe the evolution of ray trajectory, its vector slowness p, and traveltime, an equation to describe the rotation of ray-centered coordinates in which S-wave polarization remains fixed, and a system of equations for matrices P and Q needed to describe...
Integral Equations For Kinematic Dynamo Models A new technique for the treatment of the kinematic dynamo problem is presented. The method is applicable when the dynamo is surrounded by a medium of finit... W Dobler,KHR Adler - 《Studia Geophysica Et Geodaetica》 被引量: 22发表: 1998年 加载更...
Acceleration-level kinematic constraint equations, which are nonlinear inpandq, and linear in accelerations (mx1column matrix) χⅆpⅆt=Ψp=Φqhp xJacVel Jacobian matrix of the acceleration-level constraints is identical to that for velocity...
In a single-axis gyro a rotation about the input axis forces the spin axis to rotate about the output axis. The true input axis is oscillating about its nominal position and the gyro sees a varying component of the angular velocity about the nominal spin axis. This may be rectified, thereb...
A kinematic universal coupling assembly for converting rotation about a first rotational axis to rotation about a second rotational axis comprises a driving member rotatable about the first rotational axis and having first, second and third torque transmitting portions relative to the first rotational axi...
Then the average magnetic field B and the randomly fluctuating magnetic field B satisfy thecoupled equations 1, x81 = lrs(s = 1). Then the dispersion relation (12) for the sth nodal modeof the intensity of the turbulent-velocity field v2, if the turbulent-velocity fluctuations are to 关键...
equations are formulated for the mechanism in terms of all joint variables and dimensional parameters. However, the formulation of loop closure equations is a very cumbersome task, especially for complex geometries. In addition, the procedures used in this approach cannot be generalised for all ...
For a qualitative assessment of the shape-morphing behavior, this does not pose a problem but any quantitative results may be less accurate than those of more complex models. The current version of the proposed method is also purely kinematic, meaning that stiffness is excluded from the equations...