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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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Journal ArticleDOI
TL;DR: In this paper, a block-diagonal matrix formulation of the equations of motion of a system of hinge-connected flexible bodies undergoing large rotation and translation together with small elastic vibration is presented.
Abstract: This paper presents a comprehensive, block-diagonal matrix formulation of the equations of motion of a system of hinge-connect ed flexible bodies undergoing large rotation and translation together with small elastic vibration. The formulation compensates for premature linearization of equations, associated with the customary treatment of small elastic displacement, by accounting for geometric stiffness due to inertia as well as interbody forces. The algorithm is first developed for a tree configuration and is then extended to the case of closed structural loops by cutting the loops and expressing all of the kinematical variables into terms dependent and free of constraint forces/torques. A solution procedure satisfying constraints is given.

59 citations

Journal ArticleDOI
TL;DR: In this article, the effect of the inner flow to the global dynamics of a catenary riser conveying fluid is investigated using both time and frequency domain solution techniques, which apply to the complete nonlinear system and the latter to the reduced linearized set.

59 citations

Journal ArticleDOI
TL;DR: In this paper, the authors consider the limit where friction effects dominate the inertia, i.e., where the mass goes to zero (Smoluchowski-Kramers limit).
Abstract: We consider the dynamics of systems with arbitrary friction and diffusion. These include, as a special case, systems for which friction and diffusion are connected by Einstein fluctuation-dissipation relation, e.g. Brownian motion. We study the limit where friction effects dominate the inertia, i.e. where the mass goes to zero (Smoluchowski-Kramers limit). Using the Ito stochastic integral convention, we show that the limiting effective Langevin equations has different drift fields depending on the relation between friction and diffusion. Alternatively, our results can be cast as different interpretations of stochastic integration in the limiting equation, which can be parametrized by α∈ℝ. Interestingly, in addition to the classical Ito (α=0), Stratonovich (α=0.5) and anti-Ito (α=1) integrals, we show that position-dependent α=α(x), and even stochastic integrals with α∉[0,1] arise. Our findings are supported by numerical simulations.

59 citations

Journal ArticleDOI
TL;DR: In this paper, a semi-active controller is proposed for the suppression of vibratory motion of a dynamical system, where the spring and damping coefficients can be varied within prescribed bounds, albeit not independently.
Abstract: A control scheme is designed for the purpose of suppression of vibratory motion of a dynamical system. The efficacy and robustness of the controller vis a vis unknown but bounded disturbances and state measurement errors is investigated analytically and numerically. As an example of a dynamical system we consider a single degree of freedom mass—spring—damper system that is excited by an unknown force. The control scheme presupposes that the spring and damping coefficients can be varied within prescribed bounds, albeit not independently. The construction of such a semiactive controller can be realized by using the properties of so calledelectrorheological fluids (see [1] for relevant experimental investigations). The called for changes in spring and damping properties can be effected in microseconds since the control does not involve the separate dynamics (inertia) of usual actuators. The design of the controller is based on Lyapunov stability theory which is also utilized to investigate the stabilizing properties of the controller. To accommodate state measurement errors the proposed control scheme is combined with afuzzy control concept. Simulations are carried out for examples of periodic, continuous nonperiodic, discontinuous periodic and random excitation forces.

59 citations

Journal ArticleDOI
TL;DR: In this paper, an asymptotic approach based on the method of multiple scales is employed to construct the nonlinear normal modes (NNM's) of self-adjoint structural systems with arbitrary linear inertia and elastic stiffness operators, general cubic inertia and geometric nonlinearities.

59 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023886
20221,975
2021443
2020562
2019609
2018566