Topic
Inertia
About: Inertia is a research topic. Over the lifetime, 12006 publications have been published within this topic receiving 164291 citations.
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TL;DR: In this article, a numerical parametric study of 3D spherical dynamos is performed in order to understand the role of inertial effects in the evolution of the simulated dynamo.
Abstract: SUMMARY
A numerical parametric study of 3-D spherical dynamos is performed in order to understand the role of inertial effects in the evolution of the simulated dynamo. We vary the Prandtl (Pr) and magnetic Prandtl (Pm) numbers together, maintaining a constant ratio of thermal to magnetic diffusivities and leaving other parameters fixed. For Pr=Pm≥ 1, we find that the solution is only weakly dependent on Pr=Pm, and the principal force balance is between the magnetic, buoyancy and Coriolis forces (MAC balance). At lower values of Pr and Pm, the inertial forces begin to gain importance, and the MAC balance is disturbed. The field becomes less dipolar and weaker, with the effect that a balance between the buoyancy, Coriolis and inertial forces ensues. The low inertia, large Pr=Pm solutions resemble the geomagnetic field more closely, but there are still a few systematic differences between these solutions and the Earth's magnetic field.
91 citations
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TL;DR: Simplified methods of calculating hydraulic transients are presented in this article, with techniques for increasing the computing time interval over that permitted by the characteristics method, and Lumping and interpolation methods are compared with mixed implicit and characteristics methods.
Abstract: Simplified methods of calculating hydraulic transients are set forth, with techniques for increasing the computing time interval over that permitted by the characteristics method. Lumping and interpolation methods are compared with mixed implicit and characteristics methods. Complex boundary conditions are treated, including a spring-mass system with coulomb friction, an accumulator with inertia and fluid friction, pump failures, and column separation.
91 citations
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TL;DR: A survey of currently available inertia parameter identification methods can be found in this article, where a classification of the identification methods is presented based on the general equations of motion of a rigid body and their simplifications with respect to several linearization steps.
91 citations
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TL;DR: In this paper, three nonsingular terminal sliding mode (NTSM) controllers are designed to make the spacecraft system converge to its equilibrium point or a region around the equilibrium point in finite time.
Abstract: This chapter investigates the finite-time attitude stabilization problem for rigid spacecraft in the presence of inertia uncertainties and external disturbances. Three nonsingular terminal sliding mode (NTSM) controllers are designed to make the spacecraft system converge to its equilibrium point or a region around its equilibrium point in finite time. In addition, these novel controllers are singularity-free, and the presented adaptive NTSM control (ANTSMC) laws are chattering-free. A rigorous proof of finite-time convergence is developed. The proposed ANTSMC algorithms combine NTSM, adaptation, and a constant plus power rate reaching law. Because the algorithms require no information about inertia uncertainties and external disturbances, they can be used in practical systems, where such knowledge is typically unavailable. Simulation results support the theoretical analysis.
91 citations
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09 Oct 2008TL;DR: In this article, the authors developed special forms of these principles that apply to small deflection theory for planar displacements of slender bodies and applied them to planar displacement of a body.
Abstract: The response of bodies to slowly varying loads is static or quasistatic. For slowly varying loads, the sum of all forces acting on any segment of a body are in balance since there are no accelerations; i.e. for any segment of the body, the resultant of tractions on the surface of the segment is equal in magnitude but opposite in direction to any external force acting on the segment. On the other hand, rapid changes in load cause the body to accelerate; in this case the resultants of stresses acting on any part of the body are related to the product of acceleration and inertia by the laws of motion. For these two broad classes of loading the differential equations for variations in stress (or stress resultant) across an arbitrary segment of the body are obtained from either equilibrium equations or the laws of motion. These laws form the basis of several useful principles. In this chapter special forms of these principles will be developed that apply to small deflection theory for planar displacements of slender bodies.
91 citations