Enfin, le problème du mélange qui reste encore inexpliqué dans les océans est discuté et une nouvelle méthode numérique permettant de traiter le cas des très faibles diffusivités est présenté. The book discusses, in a logical progression, with its clear elucidation of the guidance laws, the entire field from missile dynamics to modeling and testing missile guidance and control systems. The control mission consists of maneuvering the large antennas to track the pre-selected motion laws, stabilizing the spacecraft in an inertial space and suppressing the elastic vibration of the appendages. An Invaluable Resource on the State of the Art of Missile Guidance A guide to advanced topics in missile guidance, control, and estimation, this invaluable book combines state-of-the-art theoretical developments presented in a tutorial form and unique practical insights. Leimanis, The general problem of the motion of coupled rigid bodies about a fixed point, Springer-Verlag, 1965. The stability of a spinning liquid-filled spacecraft has been investigated in the present paper. Vibration of an Open Vessel Containing a Viscous Fluid.
Using Pfeiffer''s method, the dynamic equations are given in form of closed ordinary differential equations. Subsequent chapters focus on the inertial characteristics of bodies and certain dynamical theorems; the motion of a free body and of a symmetrical gyroscope under gravity; gyroscopic vibration absorbers and stabilizers; the gyro-compass; suspensions for gyroscopes; gyro-verticals; and rate and integrating gyroscopes. Here, we address the instability of the flow inside a precessing cylinder in the general case. The Problem of the Minimum. The control mission consists of maneuvering the large antennas to track the pre-selected motion laws, stabilizing the spacecraft in an inertial space and suppressing the elastic vibration of the appendages. The code was checked against analytical results of Moiseyev, and an agreement of 2-5 percent even for a sparse mesh was found.
The hydraulic impacts are modeled by high-power potential function. These equations are solved by Newton's method. In strong contrast with axisymmetric spheroids, where the forced flow is systematically stationary in the precessing frame, we show that the forced flow is unsteady and periodic. To describe the interactions between the fuel slosh dynamics and the spacecraft attitude dynamics, a novel nonlinear dynamic model for three-axis liquid-filled spacecraft is presented, and in this paper, the multi-body dynamics method is utilized. Mechanically driven flows thus play a fundamental role in planets and stars, significantly influencing their shape, their rotational dynamics, and their magnetic field.
Author by : Ronald N. Integrals of the Equations of Motion. Nonself-adjoint problems for viscous fluids. Zhoukovski, On the motion of a rigid body having cavities filled with a homogeneous liquid drop, Russian Journal of Physical and Chemical Society 17 1885 , 31-152. . Zudem wird die Stabilitt der freien Schwingung des Fluids, dessen Bewegung sich aus Slosh und Wirbelstrmung zusammensetzt, betrachtet.
The aim of this article is to give a review of different linear models that can be used to take into account an internal incompressible liquid in the vibratory analysis of a complex structure. Khomyak, Stabilization of the unstable spinning of a Lagrange top filled with a fluid, Internat. These predictions are compared to the vorticity field measured by particle image velocimetry with an excellent agreement. Stability of Rotational Motions of a Fluid-Filled Projectile. The equations obtained are simple and common, which can be applied to describe many complicated open-chain spacecraft systems. Shuo Chang Xu, On the nonlinear stability theory of spinning solid bodies with liquid-filled cavities and its application to the Columbus problem, Sci. By introducing a mesh and finite difference, this equation is converted into a finite set of nonlinear algebraic equations.
Elementary Cases of Motion of a Rigid Body Containing a Fluid. It is difficult to find a more striking example anywhere of the application of the classical methods of analytical mechanics, together with more modern concepts of stability analysis, in such a comprehensive and elegent form as that presented by Profs. In that regime we still identify various free Kelvin modes, however, all of them exhibit a retrograde drift around the symmetry axis of the cylinder and none of them can be assigned to a triadic resonance. A method requiring low-computational overhead is presented which generates low-torque reference motions between arbitrary orientations for a spin-stabilized spacecraft. In this paper, we report experimental and theoretical results on the flow inside a precessing and rotating cylinder. A numerical example is given to prove the validity of the control laws. Numerical continuation links between resonant regimes found asymptotically for small excitation amplitude, and high-amplitude responses with intensive impacts.
Finally, the results are compared qualitatively with previous experimental and computational data and show good agreement in terms of dynamical regimes. This study treats oscillations of a liquid in partially filled vessel under horizontal harmonic ground excitation. It is difficult to find a more striking example anywhere of the application of the classical methods of analytical mechanics, together with more modern concepts of stability analysis, in such a comprehensive and elegent form as that presented by Profs. Special focus is placed on the associated instabilities and on the various routes toward turbulence recently studied. Lyashenko, On the instability of a rotating body with a cavity filled with viscous liquid, Japan J.
Fluid Surface Phenomena and Their Effect on the Motion of a Body Containing a Fluid. The key point is that mechanical forcings do not provide the energy to the excited flows: They convey part of the available rotational energy and generate intense fluid motions through the excitation of localized jets, shear layers, and resonant inertial modes. Author by : Robert L. In order to solve the problem under consideration numerically, the so-called panel method has been applied. Two continuous families of capillary-gravity waves are studied. The E-mail message field is required. This is the reason why the interest for linearized formulations of this fluid—structure interaction problem has never decreased since the first works initiated on this topic in the 1950s.