curved, curving - having or marked by a curve or smoothly rounded bend; "the curved tusks of a walrus"; "his curved lips suggested a smile but his eyes were hard"
He covers the Lorentz transformations, a bit of philosophy and history, kinematics, dynamics, force and equations of motion, non-inertial frames, covariant formalism, dynamics in covariant notation, curvilinear coordinates, the motions of rods and gyroscopes, quaternions, and velocity space.
At a strong bend in its deformed state, the conveyor belt accepts the form of the cylindrical shell with a variable curvature radius, which can conveniently be described in the space it occupied by the curvilinear coordinates x, R[phi].
Given the symmetry of the magnetic dipole we introduce a suitable type of orthogonal curvilinear coordinates, namely, dipole coordinates denoted by (a, b, [phi]).
The key idea is that we can replace the coordinates x, y, and z (or u, v, w in curvilinear coordinates) with a parametric equation for the integration path.
The present paper aims to fill this gap by proposing a general formulation for the equations of motion in orthogonal curvilinear coordinates that is valid for square and rectangular plates, cylindrical shell panels, spherical shell panels, and cylinders.
For steady and unsteady hypersonic flow computation, the Navier-Stokes equations in conservation form at Cartesian coordinates (x, y) are transformed into equations at general curvilinear coordinates ([psi], [phi]) and can be expressed as follows:
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.