Rotary inertia
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Online Estimation of Power System Inertia Constant Under Normal Operating Conditions Open
An online estimation method for the power system inertia constant under normal operating conditions is proposed. First of all, a dynamic model relating the active power to the bus frequency at the generation node is identified in the frequ…
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Who developed the so-called Timoshenko beam theory? Open
The use of the Google Scholar produces about 78,000 hits on the term “Timoshenko beam.” The question of priority is of great importance for this celebrated theory. For the first time in the world literature, this study is devoted to the qu…
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Something about the Mechanical Moment of Inertia Open
In this study, the relations to determining mass moments of inertia (mechanical) for different mass and mechanical inertia corresponding to geometric shapes, objects and profiles are explored. The formulas for calculating the mass moments …
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Effects of shear stresses and rotary inertia on the stability and vibration of sandwich cylindrical shells with FGM core surrounded by elastic medium Open
The vibration and stability of axially loaded sandwich cylindrical shells with the functionally graded (FG) core with and without shear stresses and rotary inertia resting Pasternak foundation are investigated. The dynamic stability is der…
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A nonlocal Timoshenko beam theory for vibration analysis of thick nanobeams using differential transform method Open
This article presents the solution for free vibration of nanobeams based on Eringen nonlocal elasticity theory and Timoshenko beam theory. The...
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STABILIZATION OF LAMINATED BEAMS WITH INTERFACIAL SLIP Open
We study a laminated beam consisting of two identical beams of uniform thickness, which is modeled as Timoshenko beams. An adhesive of small thickness is bonding the two layers and creating a restoring force producing a damping. It has bee…
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Free vibration analysis of rectangular plates with central cutout Open
A nine-node isoparametric plate element in conjunction with first-order shear deformation theory is used for free vibration analysis of rectangular plates with central cutouts. Both thick and thin plate problems are solved for various aspe…
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Nonlinear Dynamics of the High-Speed Rotating Plate Open
High speed rotating blades are crucial components of modern large aircraft engines. The rotating blades under working condition frequently suffer from the aerodynamic, elastic and inertia loads, which may lead to large amplitude nonlinear …
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Nonlinear Free Vibrations of Planar Elastic Beams: A Unified Treatment of Geometrical and Mechanical Effects Open
The exact equations of motion of a planar, initially straight, beam are determined within the large displacement framework, by considering geometrical nonlinearities and linear elastic behaviour of the material. With the aim of investigati…
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Generalization of parallel axis theorem for rotational inertia Open
This paper discusses two levels of generalization of the parallel axis theorem for rotational inertia. The first relates the moments of inertia about any two parallel axes, whether or not they are passing through the center of mass. The se…
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Empirical moments of inertia of axially asymmetric nuclei Open
We extracted empirical moments of inertia, J1, J2, J3, of atomic nuclei with E(4$+\\atop{1}$)/E(2$+\\atop{1}$ ) > 2.7 from experimental 2$+\\atop{g,y}$, energies and electric quadrupole matrix elements, determined from multi- step Coulomb …
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A new FEM procedure for transverse and longitudinal vibration analysis of thin rectangular plates subjected to a variable velocity moving load along an arbitrary trajectory Open
A combined plate element is presented for the analysis of transverse and longitudinal vibrations of a thin plate which carries a load moving along an arbitrary trajectory with variable velocity. Depending on the acceleration of the point l…
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A method for normal-mode-based model reduction in nonlinear dynamics of slender structures Open
This paper introduces a nonlinear reduced-order modelling methodology for finite-element models of structures with slender subcomponents and inertia represented by lumped masses along main load paths. The constructed models have dynamics d…
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Modeling and simulation of a passive variable inertia flywheel for diesel generator Open
The power supply system of diesel generators is isolated. Sudden loading and unloading will lead to fluctuation of the engine speed and exert an impact on the power supply quality. In order to improve the speed stability of diesel generato…
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Finite element formulation and analysis of a functionally graded Timoshenko beam subjected to an accelerating mass including inertial effects of the mass Open
This study describes a new finite element method that can be used to analyse transverse and axial vibrations of a Functionally Graded Material (FGM) beam under an accelerating / decelerating mass. The differential equations of the FGM beam…
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Collective inertia of the Nambu-Goldstone mode from linear response theory Open
Background: Spurious zero-energy Nambu-Goldstone (NG) modes appear when the\nsymmetry of a system is spontaneously broken. The Thouless-Valatin inertia, the\ncollective inertia of the NG mode, contains important information concerning\ncol…
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Vibration Analysis of Material Size-Dependent CNTs Using Energy Equivalent Model Open
This study presents a modified continuum model to investigate the vibration behavior of single and multi-carbon nanotubes (CNTs). Two parameters are exploited to consider size dependence; one derived from the energy equivalent model and th…
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Impact Force Analysis in Inertia-Type Piezoelectric Motors Open
In an inertia-type motor, a piezoelectric multilayer actuator is espoused to a transient vibration velocity as high as 1.0 m/s during slip time. This vibration velocity makes the inertia-type motors dynamic but not quasi-static. We propose…
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Higher-order static and free vibration analysis of doubly-curved FGM sandwich shallow shells Open
Plenty of research papers are available on the static and free vibration analysis of single-layer FG shells, however, literature on the analysis of FGM sandwich shells of double curvature is limited. Especially, the authors have not found …
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Analytical estimation of inertial properties of the curved rotating section in a drill string Open
We have proposed approaches to analytical assessment of the moment of inertia related to the curved rotary sections in a drill string. Research into rotation processes of the curvilinear sections in a drill string is associated at present …
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Study on dynamic stiffness of supporting structure and its influence on vibration of rotors Open
The dynamic response of the rotor depends on not only itself but also the dynamical characteristics of the structures that support it. In this paper, the coupling vibration characteristics of the rotor and supporting structure are studied …
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Mechanism Analysis of the Effect of the Equivalent Proportional Coefficient of Inertia Control for a Doubly Fed Wind Generator on Frequency Stability in Extreme Environments Open
With the large-scale access of a doubly fed wind generator (DFWG) with inertia adjustment capability to the polar microgrid, the frequency stability characteristics of the polar microgrid become more complicated. To enhance DWFG frequency …
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Vibration Analysis of Functionally Graded Rotating Shaft System Open
This paper mainly deals with the dynamic analysis of functionally graded (FG) rotor shaft system. Power law gradation is adopted for mathematical material modelling of FG rotor shaft. Timoshenko beam theory (TMBT) is also been used for the…
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Vibration of Timoshenko Beams Using Non-classical Elasticity Theories Open
This paper presents a comparison among classical elasticity, nonlocal elasticity, and modified couple stress theories for free vibration analysis of Timoshenko beams. A study of the influence of rotary inertia and nonlocal parameters on fu…
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Moment of inertia and dynamical rotational response of a supersolid dipolar gas Open
We show that the knowledge of the time dependent response of a trapped gas,\nsubject to a sudden rotation of a confining harmonic potential, allows for the\ndetermination of the moment of inertia of dipolar supersolid configurations.\nWhil…
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Transverse Vibration of Rotating Tapered Cantilever Beam with Hollow Circular Cross‐Section Open
Problems related to the transverse vibration of a rotating tapered cantilever beam with hollow circular cross‐section are addressed, in which the inner radius of cross‐section is constant and the outer radius changes linearly along the bea…
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Effects of shear deformation and rotary inertia on elastically constrained beam resting on pasternak foundation Open
This study investigates the free vibrations of elastically constrained shear and Rayleigh beams placed on the Pasternak foundation. Of particular interest, it is aimed to analyze the influence of shear strain, rotational inertia, elastic s…
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Numerical analysis of fluid-added parameters for the torsional vibration of a Kaplan turbine model runner Open
The impact of fluid on the runner of a hydraulic turbine is a recurrent problem. Fully coupled fluid–structure simulations are extremely time-consuming. Thus, an alternative method is required to estimate this interaction to perform a reli…
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Frequency-Dependent Aerodynamic Damping and Inertia in Linearized Dynamic Analysis of Floating Wind Turbines Open
In frequency-domain (FD) models of floating wind turbines (FWT), it is common to regard the interaction between nacelle motions and thrust by means of a constant aerodynamic damping coefficient. This approach is effective at higher motions…
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Free vibration of functionally graded parabolic and circular panels with general boundary conditions Open
The purpose of this content is to investigate the free vibration of functionally graded parabolic and circular panels with general boundary conditions by using the Fourier-Ritz method. The first-order shear deformation theory is adopted to…