Sentence examples for motion are written from inspiring English sources
The equations of motion are written in terms of displacements and solved starting from their strong formulation.
Then, by using this result, the equations of motion are written leading to the problem governing equations.
The equations of motion are written as a set of nonlinear ordinary differential equations, using Galerkin's method, and are simulated numerically.
The electro-magnetic problem is first solved in terms of the mechanical variables, then the equations of motion are written leading to the problem governing equations.
The polygonal domain is mapped via a numerical Schwarz-Christoffel transformation onto a rectangle, where the equations of motion are written in terms of the vorticity and stream function.
The resulting equations of motion are written in terms of stretching, transverse (geometrical bending), and swinging co-ordinates, and are suitable for analysis using standard quantitative and qualitative techniques.
The wheel motion is written as a superposition of bending modes.
The nonlinear theory of Kirchhoff and Clebsch is extended to rods made of nonlocal materials; the motion equations are written and the balance of energy is proved.
The majority of the previous literature on snake robots and similar mobile multi-body robotic structures, such as eel-like robots, have derived the equations of motion of these robots with a Newton-Euler formulation, i.e. where the equations describing the linear and angular motion of individual links are written separately (see, e.g. [15],[15]).
The equations of motion of a generic waveguide are written in first order form, and the properties of the (position-dependent) eigenvalues and eigenvectors of the system are deduced by considering the symmetry and/or the energetics of the system.
To continue our previous research, the field equations governing the harmonic motions at the achiral chiral interface are written as a matrix form to solve the reflected and transmitted wave fields.
