The equation of motion has two additional terms: centripetal acceleration [OMEGA]x([OMEGA]xu) due to time varying motion only and Corioli's acceleration 2[OMEGA]x [??], where u is the dynamic displacement vector. Effects of rotation on plane waves in a generalized thermoelastic solid half-...
The equation of motion refers to Newton's second law of motion, stating that the rate of change of momentum of a material volume element is equal to the net force acting on it. AI generated definition based on: International Geophysics, 1982 ...
To derive a new version of nonlinear equation of motion, the rotation angle of the centerline of the pipe is utilized as the generalized coordinate to describe the motion of the pipe. By using variational operations on energies of the pipe system with respect to either lateral displacement or ...
1)lagrange equation of motion拉格朗日运动方程 2)Euler-Lagrange motivation function欧拉-拉格朗日运动方程 1.Build a Euler-Lagrange motivation function of double pendulum and numerically calculate the function for Matlab software, gives the trajectory and phase diagram of the motivation.建立了双杆摆的欧拉-...
We shall be concerned only with the motion in the direction of y -axis, which is the direction of gravity. The mutual action between the solid particles, rotation of the particles, and wall effects are left out of consideration.Chan-Mou, Tchen...
5.A similarity dynamics equation and a relative dynamics equation of an elastic rotation shaft with twin sides based on the theory of relativity are built in this paper.基于相对论性原理建立了二端面弹性转轴的动力学方程、对动力学方程及相似动力学方程。
1.5.3.2 Equations of motion Application of the momentum equation in three dimensions to an irrotational, inviscid fluid flow leads to the Euler equation: (1.34)−DvDt=1ρ∇p+g∇h which for steady flow along a stream tube becomes: (1.35)1ρdp+vdv+gdZ=Z Integration for a constant-densi...
The Langevin equation to derive the Fokker-Planck equation is used for the Brownian motion of particles in translational motion. The Fokker-Planck equation for the Brownian motion of particles which have, in addition to the translational velocity also an angular velocity, has not, so far, been ...
When forces are applied to a solid, linear acceleration and/or rotation of the solid can occur according to Newton’s equation of motion. However, when the forces are applied in a way that the net force and the net torque are both zero, the solid will simply be deformed. In such cases...
If a is periodic, the solutionis determined by a homeomorphism $bar{F}$of the circle related to a. The behavior of E depends essentiallyon the number theoretical characteristics of the rotation number of$bar{F}$. 展开 关键词: correlation integral non-linear time series analysis algorithm ...