However, it is a burdensome process to specify the density of the small domains. In this paper, a technique of easily calculating the second moment of inertia of an axisymmetric nonhomogeneous material using boundary integral equations is proposed. The calculations of the mass, primary moment, ...
I. Equations of Structure Equations are given which determine the moment of inertia of a rotating relativistic fluid star to second order in the angular velocity with no other appro... JB Hartle - 《Astrophysics & Space Science》 被引量: 698发表: 1967年 Pump operating on rotational inertial ...
Applications of First Order Differential Equations Martha L. Abell, James P. Braselton, in Introductory Differential Equations (Fifth Edition), 2018 3.3 Free-Falling Bodies The motion of some objects can be determined through the solution of a first-order equation. We begin by explaining some of ...
Concurrently, a second-moment closure model of the particle fluctuating motion, based on separate transport equations for the particle kinetic stresses and the fluid-particle velocity correlations, is described and the corresponding predictions are compared with the simulation results. Large eddy ...
Newton's second law of motion states that the motion of two particles in a given reference frame is described by the differential equations (1)dP1dt=F12+F11dP2dt=F21+F22 with the following definitions P1=m1U1 and P2=m2U2. We must distinguish between the internal forces F12 and F21 and ...
Furthermore, in contrast to our simple first-principle kinetic model, theirs is based on the moment of inertia of internal elements, which could also contribute to the difference. A detailed analysis of their method falls beyond the scope of this paper, and is left to future research. Table ...
The classical linear and angular momentum theorems are extended to the present context of second velocity gradient inertia, showing that the extended theorems-used in conjunction with the Cauchy traction theorem-lead to the local force and moment (stress symmetry) motion equations, just like for a ...
The classical linear and angular momentum theorems are suitably extended for higher order inertia, from which the local motion equations and the moment equilibrium equations (stress symmetry) can be derived. For an isotropic material featured by four constants, i.e. the Lam茅 constants and two ...
In Equation (6), ITH and ITL represent the transverse moment of inertia [m4] of the waterplane at drafts dH and dL, and dH and dL can be obtained from Equations (7) and (8). 𝑑𝐻=𝑑+min(𝐷−𝑑,𝐿⋅𝑆𝑤2)dH=d+min(D−d,L⋅Sw2) (7) 𝑑𝐻=𝑑−mi...
The following formula establishes a mathematical model of a wells turbine [26,27]: 𝑑𝑃=𝐶𝑎𝑘𝑡1𝑎[𝑣2𝑥+(𝑟𝜔)2]dP=Cakt1avx2+rω2 (2) The turbine torque can be defined by Equations (3) and (4). 𝑇𝑡=𝐶𝑡𝑘𝑡𝑟[𝑣2𝑥+(𝑟𝜔)2]Tt=Ctk...