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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 paper, the nonlinear equations of motion for laminated composite rectangular plates based on first order shear deformation theory, which include shear deformations and rotary inertia, have been derived.
76 citations
TL;DR: In this paper, it was shown that the contribution of the inertial term diminishes the effective inertial mass and the "gravitational" force by the same factor, and prospective applications of this result to astrophysical scenarios are discussed.
Abstract: The decreasing of the inertial mass density, established in the past for dissipative fluids, is found to be produced by the "inertial" term of the transport equation. Once the transport equation is coupled to the dynamical equation, one finds that the contribution of the inertial term diminishes the effective inertial mass and the "gravitational" force term, by the same factor. An intuitive picture and prospective applications of this result to astrophysical scenarios are discussed.
76 citations
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18 Jul 2017
TL;DR: In this paper, a non-local generalization of the theory of gravitation was proposed, such that the field equations are integro-differential equations for the local gravitational field.
Abstract: The analysis of measurements of accelerated observers in Minkowski spacetime has led to the development of nonlocal special relativity theory Inertia and gravitation are intimately connected in accordance with the principle of equivalence We therefore seek a nonlocal generalization of the theory of gravitation such that in the new theory the field equations are integro-differential equations for the local gravitational field We show that it is possible to develop a nonlocal generalization of Einstein's theory of gravitation via the introduction of a scalar "constitutive" kernel in the teleparallel equivalent of general relativity The resulting nonlocal theory is essentially equivalent to Einstein's theory plus "dark matter" That is, nonlocality simulates dark matter by introducing a new source term into general relativity In the linear approximation for the nonlocal modification of Newtonian gravity, we recover the theoretical basis for the phenomenological Tohline-Kuhn modified gravity approach to the explanation of the astrophysical evidence for dark matter
76 citations
09 Nov 1992
TL;DR: In this paper, the disturbance observer is used for the inertia identification as well as for disturbance compensation, and the inertia value is obtained by using the orthogonality relation among the torque components of the estimated disturbance torque.
Abstract: In the proposed system, the disturbance observer is used for the inertia identification as well as for disturbance compensation. The inertia value is obtained by using the orthogonality relation among the torque components of the estimated disturbance torque. An inertia term of both the torque feedforward control and the disturbance observer is automatically readjusted by using the identification. The proposed motion control system consists of four parts: velocity feedback control, inertia torque feedforward control, disturbance observer. and inertia identification part. Experimental results show that precise control is achieved by the proposed motion control system. >
76 citations
TL;DR: In this article, the exact field equations for the metric of axially symmetric, stationary rotating bodies in general relativity are applied to calculate, to first order in the angular velocity of rotation (without restriction to weak gravitational fields), the rotation of the inertial frame induced by an incompressible fluid sphere, and by concentric mass shells.
Abstract: The exact field equations for the metric of axially symmetric, stationary rotating bodies in general relativity are exhibited. They are applied to calculate, to first order in the angular velocity of rotation (but without restriction to weak gravitational fields), the rotation of the inertial frame induced by an incompressible fluid sphere, and by concentric mass shells. In addition, the effect of the exterior field of rotating bodies on light rays is discussed. The results of this paper appear qualitatively to agree with some of Mach’s ideas on the origin of inertia.
76 citations