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 spectrum analysis technique is proposed to model the pulsating flows through openings of a building and the governing equations for fluctuating airflow behavior are obtained from the pressure/force balance between the turbulence pressure differences across openings and the forces required to overcome the flow resistance and inertia of air.
88 citations
TL;DR: In this article, a human body inspired anti-vibration structure (HBIAVS) for exploring its vibration isolation potential is investigated, which consists of an X-shaped supporting structure to simulate legs of human body and a rotational unit with mass to mimic rotational motion of arms and upper body during human walking.
87 citations
TL;DR: In this paper, the large amplitude transverse vibration of a hinged beam with no axial restraints and which has arbitrary initial conditions of motion was treated, and the general response and frequency-amplitude relations were derived theoretically.
Abstract: This investigation treats the large amplitude transverse vibration of a hinged beam with no axial restraints and which has arbitrary initial conditions of motion. Nonlinear elasticity terms arising from moderately large curvatures, and nonlinear inertia terms arising from longitudinal and rotary inertia of the beam are included in the nonlinear equation of motion. Using a Galerkin variational method and a modal expansion, the problem is reduced to a system of coupled nonlinear ordinary differential equations which are solved for arbitrary initial conditions, using the perturbation procedure of multiple-time scales. The general response and frequency-amplitude relations are derived theoretically. Comparison with previously published results is made.
87 citations
TL;DR: In this paper, an inertial energy balance principle and a virtual work principle for inertial actions are envisioned to enrich the set of traditional theoretical tools of thermodynamics and continuum mechanics, where the state variables include the body momentum and the surface momentum related to the velocity in a nonstandard way, as well as concomitant mass-accelerations and inertial forces, which do intervene into the motion equations and into the force boundary conditions.
87 citations
TL;DR: A model for synchronization of globally coupled phase oscillators including "inertial" effects is analyzed, and nonlinear stability is investigated in the limit of high natural frequencies.
Abstract: A model for synchronization of globally coupled phase oscillators including "inertial" effects is analyzed. In such a model, both oscillator frequencies and phases evolve in time. Stationary solutions include incoherent (unsynchronized) and synchronized states of the oscillator population. Assuming a Lorentzian distribution of oscillator natural frequencies, g(Omega), both larger inertia or larger frequency spread stabilize the incoherent solution, thereby making it harder to synchronize the population. In the limiting case g(Omega)=delta(Omega), the critical coupling becomes independent of inertia. A richer phenomenology is found for bimodal distributions. For instance, inertial effects may destabilize incoherence, giving rise to bifurcating synchronized standing wave states. Inertia tends to harden the bifurcation from incoherence to synchronized states: at zero inertia, this bifurcation is supercritical (soft), but it tends to become subcritical (hard) as inertia increases. Nonlinear stability is investigated in the limit of high natural frequencies.
87 citations