Sufficiency of longitudinal moment of inertia for haptic cylinder length judgments.

In this study, a dynamic model of a single-cylinder four-stroke diesel engine has been created, and the crankshaft speed fluctuations have been simulated and validated. The dynamic model of the engine consists of the motion equations of the piston, conrod, and crankshaft. Conrod motion was modeled by two translational and one angular motion equations, by considering the kinetic energy resulted from the mass moment of inertia and conrod mass. Motion equations involve in-cylinder gas pressure forces, hydrodynamic and dry friction, mass inertia moments of moving parts, starter moment, and external load moment. The In-cylinder pressure profile used in the model was obtained experimentally to increase the accuracy of the model. Pressure profiles were expressed mathematically using the Fourier series. The motion equations were solved by using the Taylor series method. The solution of the mathematical model was performed by coding in the MATLAB interface. Cyclic speed fluctuations obtained from the model were compared with experimental results and found compitable. A validated model was used to analyze the effects of in-cylinder pressure, mass moment of inertia of crankshaft and connecting rod, friction, and piston mass. In experiments for 1500, 1800, 2400, and 2700 rpm engine speeds, crankshaft speed fluctuations were observed as 12.84%, 8.04%, 5.02%, and 4.44%, respectively. In simulations performed for the same speeds, crankshaft speed fluctuations were calculated as 10.45%, 7.56%, 4.49%, and 3.65%. Besides, it was observed that the speed fluctuations decreased as the average crankshaft speed value increased. In the simulation for 157.07, 188.49, 219.91, 251.32, and 282.74 rad/s crankshaft speeds, crankshaft speed fluctuations occurred at rates of 10.45%, 7.56%, 5.84%, 4.49%, and 3.65%, respectively. The effective engine power was achieved as 5.25 kW at an average crankshaft angular speed of 219.91 rad/s. The power of friction loss in the engine was determined as 0.68 kW.

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Research on the identification of the moment of inertia of PMSM for industrial robots

2020 Chinese Automation Congress (CAC) ◽

10.1109/cac51589.2020.9327128 ◽

2020 ◽

Author(s):

Chuanwen Zhang ◽

Guangxu Zhou ◽

Ting Yang ◽

Ningran Song ◽

Xinli Wang ◽

...

Keyword(s):

Industrial Robots ◽

Moment Of Inertia ◽

The Moment

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Statistical processing of the obtained data moment of inertia of the chopper soaked soybeans

IOP Conference Series Materials Science and Engineering ◽

10.1088/1757-899x/1001/1/012004 ◽

2020 ◽

Vol 1001 ◽

pp. 012004

Author(s):

V Yu Frolov ◽

G G Klasner ◽

A M Spiridonov

Keyword(s):

Statistical Processing ◽

Moment Of Inertia

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The influence of moment of inertia on baseball/softball bat swing speed

Sports Engineering ◽

10.1007/bf02915922 ◽

2004 ◽

Vol 7 (2) ◽

pp. 105-117 ◽

Cited By ~ 21

Author(s):

Keith Koenig ◽

Nan Davis Mitchell ◽

Thomas E. Hannigan ◽

J. Keith Clutter

Keyword(s):

Moment Of Inertia ◽

Swing Speed

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Vibration and sound radiation analysis of the final drive assembly considering the gear-shaft coupling dynamics

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406216632021 ◽

2016 ◽

Vol 230 (7-8) ◽

pp. 1258-1275 ◽

Cited By ~ 9

Author(s):

Yawen Wang ◽

Junyi Yang ◽

Dong Guo ◽

Teik C Lim

Keyword(s):

Dynamic Models ◽

Acoustic Analysis ◽

Bending Moment ◽

Moment Of Inertia ◽

System Dynamic ◽

Dynamic Responses ◽

Propeller Shaft ◽

Hypoid Gear ◽

Gyroscopic Effect ◽

Gear Mesh

A generalized dynamic model of driveline system is formulated that includes the coupling effect and gyroscopic moments of the propeller shaft and hypoid gear rotor assembly. Firstly, the dynamic models with only gear-shaft coupling, with only gyroscopic effect, and with both gear-shaft coupling and gyroscopic effect are analyzed and compared. The results show that the combined effects of the gear-shaft interaction and gyroscopic behavior have considerable influence on the system dynamic responses surrounding gear bending resonances, especially for the bearing responses. However, the gear out-of-phase torsional modes still dominate the gear mesh frequency response. Secondly, the influence of pinion bending moment of inertia, propeller shaft stiffness and bearing stiffness on the system dynamic responses are examined. The system responses are then applied to perform further vibration and acoustic analysis for an axle housing structure. Computational results reveal that NVH (noise, vibration, and harshness) refinement can be achieved by tuning the pinion bearing rotational stiffness and pinion bending moment of inertia for the example considered. This study provides an understanding of the interaction between hypoid gear pair and propeller shaft, and can be employed to enhance driveline system design.

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Stability of a Rigid Body With an Oscillating Particle: An Application of MACSYMA

Journal of Applied Mechanics ◽

10.1115/1.3169122 ◽

1985 ◽

Vol 52 (3) ◽

pp. 686-692 ◽

Cited By ~ 4

Author(s):

L. A. Month ◽

R. H. Rand

Keyword(s):

Angular Velocity ◽

Rigid Body ◽

Classical Problem ◽

Moment Of Inertia ◽

Model Parameters ◽

Stability Chart ◽

The Stability ◽

Transition Curves ◽

Minimum Moment ◽

Small Angular Velocity

This problem is a generalization of the classical problem of the stability of a spinning rigid body. We obtain the stability chart by using: (i) the computer algebra system MACSYMA in conjunction with a perturbation method, and (ii) numerical integration based on Floquet theory. We show that the form of the stability chart is different for each of the three cases in which the spin axis is the minimum, maximum, or middle principal moment of inertia axis. In particular, a rotation with arbitrarily small angular velocity about the maximum moment of inertia axis can be made unstable by appropriately choosing the model parameters. In contrast, a rotation about the minimum moment of inertia axis is always stable for a sufficiently small angular velocity. The MACSYMA program, which we used to obtain the transition curves, is included in the Appendix.

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Moments of inertia and B(E2;01+→21+)s in the NpNn scheme

Canadian Journal of Physics ◽

10.1139/cjp-2014-0386 ◽

2015 ◽

Vol 93 (7) ◽

pp. 711-715

Author(s):

Rajesh Kumar ◽

S. Sharma

Keyword(s):

Nuclear Structure ◽

Strong Dependence ◽

Moment Of Inertia ◽

Nucleon Pair ◽

Valence Nucleon ◽

Moments Of Inertia ◽

Ground Band ◽

Neutron Interaction ◽

Medium Mass

We examine the collective nuclear structure of light and medium mass (Z = 50–82, N = 82–126) even–even nuclei using valence nucleon pair product (NpNn). We discuss the role of proton–neutron interaction in light mass nuclei and illustrate the variation of observables of collectivity and deformation (i.e., ground band moment of inertia) and B(E2) values with N and NpNn). The plot of these observables against NpNn vividly displays the formation of isotonic multiplets in quadrant I, strong dependence on NpNn in quadrant II and weak constancy with Z in quadrant III is illustrated.

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