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Journal articles on the topic 'Effective Moment of Inertia'

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Published: 4 June 2021

Last updated: 1 February 2022

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1

Barci, V., H. El-Samman, A. Gizon, J. Gizon, R. Kossakowski, B. M. Nyako, T. Vertse, et al. "Effective moment of inertia in132Ce,134Nd and136Nd." Zeitschrift f�r Physik A Atomic Nuclei 325, no. 4 (December 1986): 399–404. http://dx.doi.org/10.1007/bf01290041.

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2

Faller, Ronald K., and Barry T. Rosson. "Effective moment of inertia for rectangular elastoplastic beams." Structural Engineering and Mechanics 7, no. 1 (January 25, 1999): 95–110. http://dx.doi.org/10.12989/sem.1999.7.1.095.

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3

AL-ZAID, RAJEH. "Effective Moment of Inertia of Partially Cracked RC Beams." Journal of King Abdulaziz University-Engineering Sciences 9, no. 1 (1997): 125–39. http://dx.doi.org/10.4197/eng.9-1.8.

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4

El-Samman, H., V. Barci, A. Gizon, J. Gizon, R. Kossakowski, Th Lindblad, and T. Bengtsson. "Effective dynamic moment of inertia of 118Xe and 130Ba." Physics Letters B 158, no. 6 (September 1985): 459–62. http://dx.doi.org/10.1016/0370-2693(85)90794-4.

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5

Jerrestam, Dan, V. Barci, S. Elfström, H. El-Samman, J. Gizon, W. Klamra, Th Lindblad, and C. G. Lindén. "The Effective Moment of Inertia in 130Ce and 129La." Physica Scripta 31, no. 5 (May 1, 1985): 317–20. http://dx.doi.org/10.1088/0031-8949/31/5/004.

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6

Gohnert, M., and P. Y. Xue. "A theoretical refinement of Branson's effective-moment-of-inertia equation." Magazine of Concrete Research 52, no. 1 (February 2000): 39–42. http://dx.doi.org/10.1680/macr.2000.52.1.39.

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7

Patel, K. A., A. Bhardwaj, S. Chaudhary, and A. K. Nagpal. "Explicit expression for effective moment of inertia of RC beams." Latin American Journal of Solids and Structures 12, no. 3 (March 2015): 542–60. http://dx.doi.org/10.1590/1679-78251272.

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8

Eya, I. O., J. O. Urama, and A. E. Chukwude. "ENTRAINMENT FACTOR OF INDIVIDUAL GLITCH FRACTIONAL MOMENT OF INERTIA." Revista Mexicana de Astronomía y Astrofísica 55, no. 1 (May 31, 2019): 3–9. http://dx.doi.org/10.22201/ia.01851101p.2019.55.01.01.

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The superfluid in the inner crust of a neutron star is assumed to be the reservoir of momentum released in a pulsar glitch. Recently, due to crustal entrainment, it appears debatable whether the magnitude of the inner crust is sufficient to contain the superfluid responsible for large glitches. This paper calculates the fractional moment of inertia (FMI)(i.e. the ratio of the inner crust superfluid moment of inertia to that of the coupled components) associated with individual glitches. It is shown that the effective moment of inertia associated with the transferred momentum is that of the entrained neutrons. The FMI for glitches in three pulsars, which exhibit the signature of exhausting their momentum reservoir, were calculated and scaled with the entrainment factor. Some of the glitches require an inner crust superfluid with moment of inertia larger than the current suggested values of 7-10% of the stellar moment of inertia.

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9

Wicke, Jason, and Genevieve A. Dumas. "Estimating Segment Inertial Parameters Using Fan-Beam DXA." Journal of Applied Biomechanics 24, no. 2 (May 2008): 180–84. http://dx.doi.org/10.1123/jab.24.2.180.

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Body segment inertial parameters are required as input parameters when the kinetics of human motion is to be analyzed. However, owing to interindividual differences in body composition, noninvasive inertial estimates are problematic. Dual-energy x-ray absorptiometry (DXA) is a relatively new imaging approach that can provide cost- and time-effective means for estimating these parameters with minimal exposure to radiation. With the introduction of a new generation of DXA machines, utilizing a fan-beam configuration, this study examined their accuracy as well as a new interpolative data-reduction process for estimating inertial parameters. Specifically, the inertial estimates of two objects (an ultra-high molecular density plastic rod and an animal specimen) and 50 participants were obtained. Results showed that the fan-beam DXA, along with the new interpolative data-reduction process, provided highly accurate estimates (0.10–0.39%). A greater variance was observed in the center of mass location and moment of inertia estimates, likely as a result of the course end-point location (1.31 cm). However, using a midpoint interpolation of the end-point locations, errors in the estimates were greatly reduced for the center of mass location (0.64–0.92%) and moments of inertia (–0.23 to –0.48%).

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10

Senjanovic, Ivo, and Ying Fan. "Investigation of Effective Bending and Shear Stiffness of Thin-Walled Girders Related to Ship Hull Vibration Analysis." Journal of Ship Research 33, no. 04 (December 1, 1989): 298–309. http://dx.doi.org/10.5957/jsr.1989.33.4.298.

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Application of beam theory in flexural vibration analysis of thin-walled girders is extended for the high-frequency domain by introducing the concept of effective values of beam parameters, that is, cross-sectional moment of inertia, shear area, mass, and mass moment of inertia. Formulation of these parameters is based on equivalence of deformation energy and inertia work, respectively, for a considered structure and its beam model, resulting in the same values of their natural frequencies. For illustration, the natural vertical vibration of a simply supported pontoon has been considered, where it was possible to obtain the analytical solution due to sinusoidal mode shapes. The effective values of cross-sectional moment of inertia and shear area show significant variation in frequency domain. Transfer of effective values of beam parameters, determined for simply supported structure, in the case of other boundary conditions is suggested, based on equal mode wavelengths, and checked for the free pontoon. The results show very low discrepancies compared with a three-dimensional finite-element model solution, so this procedure may be applied generally, as well as to the problem of ship hull vibration. In conclusion, the possibility of calculating the values of effective parameters for multicell ship cross sections, utilizing the theory of folded structure and the finite-element method, is pointed out.

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11

Bischoff, Peter H. "Rational model for calculating deflection of reinforced concrete beams and slabs." Canadian Journal of Civil Engineering 34, no. 8 (August 1, 2007): 992–1002. http://dx.doi.org/10.1139/l07-020.

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Deflection control is an important performance criterion that needs to be satisfied to ensure serviceability of the structure for its intended use. The extent of cracking and amount of reinforcement affects the flexural rigidity, EI, of a reinforced concrete member and both the Canadian concrete design standard (CSA A23.3-04) and ACI Building Code (ACI 318-05) use an effective moment of inertia, Ie, that was originally proposed by Branson to compute beam deflection. This is an empirically derived equation that works well within a narrow range of limits corresponding to steel-reinforced concrete beams with a reinforcing ratio between 1% and 2%. However, the equation underestimates deflection for steel-reinforced concrete beams and slabs with a reinforcing ratio less than 1% and for most beams reinforced with low-modulus, fibre-reinforced-polymer (FRP) bars. Deflection of slender tilt-up wall panels can also be underestimated with Branson's equation. This paper provides an explanation of why the Branson equation does not always work well in predicting deflection, and presents a rational approach to develop an alternative expression for the effective moment of inertia that works equally well for both steel- and FRP-reinforced concrete at all reinforcing ratios. A rational expression is also introduced for continuous beams that uses an averaged moment of inertia, Ie,avg, to calculate beam deflection. Changes are included in a proposed revision to deflection prediction requirements specified in clause 9.8 of CSA A23.3-04.Key words: reinforced concrete, deflection, effective moment of inertia, serviceability.

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12

BHATTACHARJEE, SATADEEP. "FIELD PULSE INDUCED SWITCHING IN MAGNETS: UNDERSTANDING THE POST-PULSING DYNAMICS." SPIN 02, no. 02 (June 2012): 1230003. http://dx.doi.org/10.1142/s2010324712300034.

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This is a brief review of the theoretical analysis of the interesting magnetization dynamics observed in experiments, when a magnetic material is subjected to magnetic field pulse for a very short time. The explanation of inertia-like dynamics in the post-pulsing period is explained in terms of a redistribution of magnetic energy among the different terms of the effective magnetic Hamiltonian. Then it is clarified if there is at all inertial effects which is important in the context of magnetization dynamics and where from it originates. A new equation for magnetization dynamics is proposed. Finally, it has been outlined how the different relevant quantities such as damping and moment of inertia tensor can be calculated from the first-principles.

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13

Ju, Minkwan, Hongseob Oh, Junhyun Lim, and Jongsung Sim. "A Modified Model for Deflection Calculation of Reinforced Concrete Beam with Deformed GFRP Rebar." International Journal of Polymer Science 2016 (2016): 1–10. http://dx.doi.org/10.1155/2016/2485825.

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The authors carried out experimental and analytical research to evaluate the flexural capacity and the moment-deflection relationship of concrete beams reinforced with GFRP bars. The proposed model to predict the effective moment of inertia for R/C beam with GFRP bars was developed empirically, based on Branson’s equation to have better accuracy and a familiar approach to a structural engineer. For better prediction of the moment-deflection relationship until the ultimate strength is reached, a nonlinear parameter (k) was also considered. This parameter was introduced to reduce the effect of the cracked moment of inertia for the reinforced concrete member, including a lower reinforcement ratio and modulus of elasticity of the GFRP bar. In a comparative study using six equations suggested by others, the proposed model showed better agreement with the experimental test results. It was confirmed that the empirical modification based on Branson’s equation was valid for predicting the effective moment of inertia of R/C beams with GFRP bar in this study. To evaluate the generality of the proposed model, a comparative study using previous test results from the literature and the results from this study was carried out. It was found that the proposed model had better accuracy and was a familiar approach to structural engineers to predict and evaluate the deflection behavior.

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14

Behkami, A. N., and M. Soltani. "Spin Cut-off Parameter of Nuclear Level Density and Effective Moment of Inertia." Communications in Theoretical Physics 43, no. 4 (April 2005): 709–18. http://dx.doi.org/10.1088/0253-6102/43/4/026.

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15

Khalfallah, Salah. "Explaining the riddle of effective moment of inertia models for FRP concrete beams." International Journal of Structural Engineering 2, no. 1 (2011): 23. http://dx.doi.org/10.1504/ijstructe.2011.038067.

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16

Jerrestam, Dan, S. Elfström, W. Klamra, Th Lindblad, C. G. Lindén, V. Barci, H. El-Samman, and J. Gizon. "The effective moment of inertia in 124Xe, 126–128Ba, 129,131Ce and 162Er isotopes." Nuclear Physics A 481, no. 2 (May 1988): 355–80. http://dx.doi.org/10.1016/0375-9474(88)90502-7.

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17

SHEN, JIANYONG, YUN ZHANG, BIN WANG, and RU-KENG SU. "SLOWLY ROTATING PROTO STRANGE STARS IN QUARK MASS DENSITY- AND TEMPERATURE-DEPENDENT MODEL." International Journal of Modern Physics A 20, no. 32 (December 30, 2005): 7547–65. http://dx.doi.org/10.1142/s0217751x05022391.

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Employing the Quark Mass Density- and temperature-dependent model and the Hartle's method, we have studied the slowly rotating strange star with uniform angular velocity. The mass–radius relation, the moment of inertia and the frame dragging for different frequencies are given. We found that we cannot use the strange star to solve the challenges of Stella and Vietri for the horizontal branch oscillations and the moment of inertia I45/(M/Ms)>2.3. Furthermore, we extended the Hartle's method to study the differential rotating strange star and found that the differential rotation is an effective way to get massive strange star.

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18

Kelpša, Šarūnas, Gediminas Rinkevičius, Tadas Zingaila, Mindaugas Augonis, and Vadimas Kitovas. "Coefficient of Moment of Inertia for Ribbed RC Slab Beams." Mechanics 25, no. 3 (July 1, 2019): 178–86. http://dx.doi.org/10.5755/j01.mech.25.3.22691.

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During the design process of monolithic ribbed slabs, engineers face a common issue how to correctly evaluate stiffness of the beams. When Bar and Plate elements are used for analysis of the slabs, the neutral axis of those members are in the same level, therefore the stiffness of (T) shape cross-section is not considered correctly in the calculations. In this case the internal forces are obtained incorrectly as well as deflections of the beams are overestimated. A simple method is discussed in this paper, which allows engineers to calculate internal forces and deformations of mentioned type slabs more accurately with FEM programs by using Bar and Plate elements. The method is based on Bar elements moment of inertia adjustment. After the comparative analysis of differences between moment of inertia of (T) and (+) shape cross-sections as well as deflection discrepancies, the adjustment coefficient expression is presented. In order to reflect the actual behaviour of ribbed slabs even more accurately the influence of shear deformations is also considered. In this case not only the member geometry but the material properties, loading scheme and even supports are taken into account in the calculations of the adjustment coefficient. Selection of the most appropriate (effective) flange width of (T) shape cross-section is also analysed in this paper. Comparative calculations were done using different effective flange widths beff calculated by EC2 (Eurocode 2), “STR” (Lithuanian Construction Technical Regulations) and ACI (American Concrete Institute) methods. In order to assess the reliability of the proposed calculation method and the calculation results all plates were also analysed using Solid elements. Application of the presented expressions of moment of inertia coefficient will allow engineers to evaluate stiffness of (Γ) and (T) shape cross section beams simply, fast and accurately enough for most of structural engineering calculations.

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19

Kelvin-Lee, Kai-Wen, Nurhafiza M. Nor, Meng-Hock Koh, Nor-Anita Rezle, and Norehan Mohd Nor. "Uncertainties in static nuclear properties due to pairing fit procedures within Skyrme-Hartree-Fock approach." Malaysian Journal of Fundamental and Applied Sciences 16, no. 1 (February 2, 2020): 102–4. http://dx.doi.org/10.11113/mjfas.v16n1.1627.

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Description of static nuclear properties is one of the main aims of theoretical nuclear physics studies. This work presents the uncertainties due to pairing fit procedure for three static nuclear quantities of rare-earth nuclei, namely the nuclear charge radius, electric quadrupole moment, and the moment of inertia. The Hartree-Fock (HF)-plus-pairing approach was employed with pairing correlations treated within the Bardeen-Cooper-Schrieffer (BCS) framework. The Skyrme SIII parametrization were chosen to approximate the effective nucleon-nucleon interaction while seniority force is used for the pairing interaction. In this work, two sets of pairing strengths obtained from different fit procedures were chosen. Calculated result shows that the moment of inertia is hugely dependent on variation of pairing strengths.

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20

Mousavi, S. Roohollah, and M. Reza Esfahani. "Effective Moment of Inertia Prediction of FRP-Reinforced Concrete Beams Based on Experimental Results." Journal of Composites for Construction 16, no. 5 (October 2012): 490–98. http://dx.doi.org/10.1061/(asce)cc.1943-5614.0000284.

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21

Ashrafi, Ghazaaleh, Saeed Soheyli, and Morteza Khalil Khalili. "Study of angular momentum effect on the fission process by angular anisotropy method in heavy-ion-induced reactions." International Journal of Modern Physics E 29, no. 04 (April 2020): 2050017. http://dx.doi.org/10.1142/s0218301320500172.

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The study of compound nucleus characteristics through fission fragment properties is a powerful tool to understand the fission mechanism of excited nuclei formed in heavy-ion-induced reactions. In this work, angular anisotropies of fission fragments from fissioning nuclei [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] with normal behaviors in angular anisotropy have been analyzed. In this way, the quadrupole deformation parameter of the compound nucleus is calculated by comparison between the experimental data of angular anisotropy and those predicted by the standard saddle-point statistical model. Then the rotational energy, the fission barrier height, and the effective moment of inertia of the compound nucleus are obtained through the calculated quadrupole deformation parameters. It is observed that the quadrupole deformation parameter decreases with increasing the mean square angular momentum. The obtained results illustrate that the rotational energy and the effective moment of inertia increase almost linearly with increasing the mean square angular momentum, while the fission barrier height decreases as expected. However, the calculated values of fission barrier height overestimate the rotating finite-range model predictions. Also, the calculated values of effective moment of inertia represent a nearly linear trend despite those predicted by the rotating finite-range model. In order to discuss the physical ideas underlying the effect of angular momentum on the fission properties, the interaction potential energy during the capture process is studied for the lightest and heaviest reaction systems.

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22

Daugevičius, Valivonis, and Skuturna. "Prediction of Deflection of Reinforced Concrete Beams Strengthened with Fiber Reinforced Polymer." Materials 12, no. 9 (April 26, 2019): 1367. http://dx.doi.org/10.3390/ma12091367.

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The article analyses the calculation of the deflection of reinforced concrete beams strengthened with fiber reinforced polymer. This paper specifically focuses on estimating deflection when the yielding of reinforcement is reached. The article proposes a simple method for calculating deflection that was compared with the experimentally predicted deflection. The carried out comparison has showed that the proposed method is suitable not only for the strengthened beams but also for the reinforced concrete beams with a varying reinforcement ratio. The suggested calculation method is based on the effective moment of inertia, such as the one introduced in the ACI Committee 318 Building Code Requirement for Structural Concrete (ACI318). The development of deflection was divided into three stages, and equations for the effective moment of inertia were proposed considering separate stages. In addition, the put forward equations were modified attaching additional relative coefficients evaluating a change in the depth of the neutral axis.

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23

BAR-YAM, YANEER. "SUM RULE FOR MULTISCALE REPRESENTATIONS OF KINEMATICALLY DESCRIBED SYSTEMS." Advances in Complex Systems 05, no. 04 (December 2002): 409–31. http://dx.doi.org/10.1142/s0219525902000638.

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We derive a sum rule that constrains the scale based decomposition of the trajectories of finite systems of particles. The sum rule reflects a tradeoff between the finer and larger scale collective degrees of freedom. For short duration trajectories, where acceleration is irrelevant, the sum rule can be related to the moment of inertia and the kinetic energy (times a characteristic time squared). Thus, two nonequilibrium systems that have the same kinetic energy and moment of inertia can, when compared to each other, have different scales of behavior, but if one of them has larger scales of behavior than the other, it must compensate by also having smaller scales of behavior. In the context of coherence or correlation, the larger scale of behavior corresponds to the collective motion, while the smaller scales of behavior correspond to the relative motion of correlated particles. For longer duration trajectories, the sum rule includes the full effective moment of inertia of the system in space-time with respect to an external frame of reference, providing the possibility of relating the class of systems that can exist in the same space-time domain.

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24

Park, Mi-Young, Sang-Sik Kim, Seung-Bae Lee, Chang-Hyuk Kim, and Kang-Su Kim. "Analysis on the Influence of Moment Distribution Shape on the Effective Moment of Inertia of Simply Supported Reinforced Concrete Beams." Journal of the Korea Concrete Institute 21, no. 1 (February 28, 2009): 93–103. http://dx.doi.org/10.4334/jkci.2009.21.1.093.

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25

Olanitori, LM. "Effective Moment of Inertia of Single Spanned Reinforced Concrete Beams with Fixed Beam-Column Joints." Journal of Civil Engineering and Urbanism 9, no. 2 (March 25, 2019): 7–16. http://dx.doi.org/10.29252/scil.2019.jceu2.

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26

Pasricha, M. S. Pasricha, and F. M. Hashim. "Effect of the reciprocating mass of slider-crank mechanism on torsional vibrations of diesel engine systems." ASEAN Journal on Science and Technology for Development 23, no. 1&2 (October 30, 2017): 71. http://dx.doi.org/10.29037/ajstd.94.

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The torsional vibration phenomenon in the running gear of reciprocating engine systems isusually dealt with by considering a series of constant inertias connected by sections of massless shafting. However in reality, a slider crank mechanism is a vibrating system with varying inertia because the effective inertia of the total oscillating mass of each crank assembly varies twice per revolution of the crankshaft. Large variations in inertia torques can give rise to the phenomenonof secondary resonance in torsional vibration of modern marine diesel engines which can not be explained by conventional theory incorporating only the mean values of the varying inertias. In the past associated secondary resonances and regions of instability tended to be dismissed by most engineers as interesting but of no importance. The situation changed in recent years since there is evidence of the existence of thesecondary resonance effects which could have contributed to a number of otherwise inexplicable crankshaft failures in large slow speed marine engines. The cyclic variation of the polar moment of inertia of the reciprocating parts during each revolution causes a periodic variation of frequency and corres ponding amplitude of vibration of reciprocating engine systems. It also causes an increase in the speed range over which resonance effects are experienced and only a partial explanation of the behaviour of the systems has been worked out. It is impossible to avoid these instabilities by changes in thedesign , unless of course the variations in mass and spring constant can be made zero. In the present paper a critical appraisal of the regions of instability as determined from the equation of motion which takes into account variation of inertia is given. The motion in the form of complex waveforms is studied at different speeds of engine rotation. A comparison of theoretical results with Goldsbrough’s experimental resultsand Gregory’s analysis is included.

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27

Ibrahim, Peter, Mustafa Arafa, and Yasser Anis. "An Electromagnetic Vibration Energy Harvester with a Tunable Mass Moment of Inertia." Sensors 21, no. 16 (August 20, 2021): 5611. http://dx.doi.org/10.3390/s21165611.

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This paper presents a vibration-based electromagnetic energy harvester whose resonance frequency can be adjusted to match that of the excitation. Frequency adjustment is attained by controlling a rotatable arm, with tuning masses, at the tip of a cantilever-type energy harvester, thereby changing the effective mass moment of inertia of the system. The rotatable arm is mounted on a servomotor that is autonomously controlled through a microcontroller and a photo sensor to keep the device at resonance for maximum power generation. A mathematical model is developed to predict the system response for different design parameters and to estimate the generated power. The system is investigated analytically by a distributed-parameter model to study the natural frequency variation and dynamic response. The analytical model is verified experimentally where the frequency is tuned from 8 to 10.25 Hz. A parametric study is performed to study the effect of each parameter on the system behavior.

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28

Ibrahim, R. A., and G. Latorre. "Experimental Investigation of Dynamic Parameters of Viscous Fluids in Unsteady Flow." Journal of Pressure Vessel Technology 110, no. 1 (February 1, 1988): 29–35. http://dx.doi.org/10.1115/1.3265564.

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The main objective of this paper is to conduct a series of experimental investigations to measure the effective mass moment of inertia and damping coefficient of a viscous fluid due to an immersed rod fitted in a circular cylindrical container which experiences roll oscillations. This work is mainly oriented to the dynamic analysis of liquid propellant rockets. The measured results are used to examine the validity of the solution of the linearized Navier-Stokes equations. It is shown that the liquid inertia and damping are dependent upon the tank roll frequency and fairly agree with the predicted analytical results.

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29

Anand, Vijay, Janardhana Maganti, Azmi Ibrahim, and K. U. Muthu. "Instantaneous Deflection of Steel Fibre Reinforced Selfcompacting Concrete Beams." Applied Mechanics and Materials 754-755 (April 2015): 473–77. http://dx.doi.org/10.4028/www.scientific.net/amm.754-755.473.

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Self-compacting concrete has been accepted as a quality product. A Suitable method for estimating the instantaneous deflection for SFRSCC is not available. In this study an effective moment of inertia function has been formulated with a power coefficient obtained from authors and others data. The proposed method is found to predict the instantaneous deflections satisfactorily.

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30

Yum, Hwan-Seok, and Woo Kim. "Effective Moment of Inertia of Flexural Members Based on the Concrete Stress-Strain Curve in EC-2." Journal of the Korea Concrete Institute 28, no. 6 (December 30, 2016): 655–63. http://dx.doi.org/10.4334/jkci.2016.28.6.655.

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31

Kheyroddin, A., and F. Maleki. "Prediction of effective moment of inertia for hybrid FRP-steel reinforced concrete beams using the genetic algorithm." Numerical Methods in Civil Engineering 2, no. 1 (September 1, 2017): 15–23. http://dx.doi.org/10.29252/nmce.2.1.15.

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32

Bischoff, Peter H. "Service load deflection of tilt-up concrete wall panels." Canadian Journal of Civil Engineering 45, no. 8 (August 2018): 684–89. http://dx.doi.org/10.1139/cjce-2017-0319.

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The suitability of using CSA A23.3-14 to compute service load deflection of slender concrete wall panels is evaluated. Calculation of deflection using an effective moment of inertia with a reduced cracking moment is reviewed for beams, slabs, and tilt-up wall panels. While the procedure adopted by A23.3 for computing deflection works reasonably well for beams and slabs with reinforcing ratios as low as 0.4%, computed values do not correlate well with existing tests on slender walls and can underestimate deflection significantly. Deflection of slabs with very low reinforcement ratios (less than 0.4%) is also likely to be underestimated. Revisions to A23.3 are proposed for computing deflection.

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33

Tyapin, A. G. "Free Vibrations of Rigid Kinematic Support of Yu.D. Cherepinsky." Earthquake Engineering. Construction Safety, no. 2 (April 25, 2020): 18–31. http://dx.doi.org/10.37153/2618-9283-2020-2-18-31.

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The author derives the equation of free vibrations for kinematical rolling support of Yu.D.Cherepinsky. Both support and the surface below are assumed rigid. It is shown that Lagrange equation is similar to the equation of motion for rotational oscillator where the rotation centre, rotational inertia and stiffness are changing every moment, depending on displacements. This equation can be further simplified to the linear form with the error proportional to the second degree of displacements. This equation looks somewhat like the equation for classical pendulum, but effective length in our case is controlled by curvature radii of support and of the rolling surface, as well as by the position of vertical load relative to the centre of the support. Non-linear characteristic is soft. The main no-linearity is in the inertial term, and not in the stiffness term.

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34

Elbahy, Y. I., M. Nehdi, and M. A. Youssef. "Artificial neural network model for deflection analysis of superelastic shape memory alloy reinforced concrete beams." Canadian Journal of Civil Engineering 37, no. 6 (June 2010): 855–65. http://dx.doi.org/10.1139/l10-039.

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The need for a new model capable of accurately predicting the deflection of shape memory alloy (SMA) reinforced concrete (RC) beams is clear from the results obtained in the companion paper. In the present paper, artificial neural networks (ANNs) are utilized to develop such a model. The objective is to create a design tool for computing a reduction factor β to be used in the calculation of the effective moment of inertia for SMA RC beams. First, a database was developed using the results obtained from the parametric study reported in the companion paper. The main factors affecting the moment of inertia have been considered. The network architecture that results in the optimum performance was selected and trained. After demonstrating the network’s ability to predict output data for unfamiliar input data, the network was used to develop a design chart that provides the reduction factor β as a function of the reinforcement ratio and the reinforcement modulus of elasticity. A design example is discussed to illustrate the advantages of using the developed design chart over existing models.

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35

Selvachandran, P., S. Anandakumar, and K. L. Muthuramu. "Deflection Behavior of Prestressed Concrete Beam using Fiber Reinforced Polymer (FRP) Tendon." Open Civil Engineering Journal 10, no. 1 (February 29, 2016): 40–60. http://dx.doi.org/10.2174/1874149501610010040.

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The application of prestressing steel is restricted in highly corrosive environment area. The behavior of structure changes due to corrosion of prestressing steel, which leads to reduction in strength and it may cause sudden failure. There are many research recommendations to resist corrosion of steel, however the durability of structure shall not be ensured during service life of structure. Fiber Reinforced Polymer (FRP) Tendon is considered as an alternate material due to its corrosive resistance property and high strength. An experimental and numerical analysis carried out to study the deflection behavior of FRP tendon prestressed beam and recommended design guidelines. There are four beam specimens casted and tested in laboratory and 51 experimental results collected from research article to carry out numerical study. The ACI, 2011 [1] recommended generalized deflection calculation for beam by softening the effective moment of inertia curve and also introduced the effect of shift of neutral axis once the member exceeds cracking stress of concrete. Based on experimental and numerical analysis study it is concluded that, the deflection behavior of FRP tendon beam depends on deformability of material, degree of prestressing and bond strength. Design chart proposed for calculation of effective moment of inertia and effective neutral axis distance with respect to deformability index. The error percentage of deflec-tion values as per ACI 2011, is about 10 to 20% has reduced to less than 5% in the proposed method.

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Mehdipour, Behnam, Hamid Hashemolhosseini, Bahram Nadi, and Masoud Mirmohamadsadeghi. "Investigating the Effect of Geocell Changes on Slope Stability in Unsaturated Soil." Tehnički glasnik 14, no. 1 (March 20, 2020): 66–75. http://dx.doi.org/10.31803/tg-20190606115822.

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The purpose of this research is to investigate the performance and efficiency of reinforced slope in the stability of geocell layers in unsaturated soil conditions. Slope reinforced with geocell acts like a beam in the soil due to the geocell having a height (three-dimensional). Due to its flexural properties, it has moment of inertia as well as bending strength, which reduces the displacement and increases the safety factor of the slope. Taking into consideration unsaturated conditions of soil contributes a lot to making results close to reality. One of the well-known models among elastoplastic models for modeling unsaturated soils is Barcelona Basic Model, which has been added to the FLAC2D software by codification. Changes in thickness, length and number of geocell layers are remarkably effective on slope stability. The results show that the geocell's reinforcing efficiency depends on the number of layers and depth of its placement. As the depth of the geocell's first layer increases, the lateral and vertical side elevation of the upper part of the slope increases with respect to the elevation. Load capacity increases with increasing geocell length. By increasing the length of the geocell layer, the joint strength, the mobilized tensile strength, and the bending moment are increased. At u/H = 0.2, an increase in the bending momentum of about 20% occurs with increasing geocell thickness. In u/H = 1, the increase in bending momentum is 10.4%. In addition, by increasing the thickness of the geocell, the Value of moment of the inertia increases and, as a result, the amount of geocell reinforcement bending moment increases.

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Sherif, Alaa G., and Walter H. Dilger. "Critical review of CSA A23.3-94 deflection prediction for normal and high strength concrete beams." Canadian Journal of Civil Engineering 25, no. 3 (June 1, 1998): 474–89. http://dx.doi.org/10.1139/l97-106.

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The purpose of this paper is to critically review the provisions of CSA A23.3-94 for the deflection calculations of normal and high strength reinforced concrete beams. Comparison is made with the provisions of CEB-FIP MC 90 and EC 2 which is similar to the MC 90. Both short- and long-term deflections are discussed. Tests from the literature are used to assess the calculation methods suggested by the codes. These methods are the effective moment of inertia approach, the mean curvature approach, and the bilinear method. A parametric study is carried out to investigate the effect of the level of loading, shape of bending moment, and reinforcement ratio on the predicted deflections.Key words: code predictions, deflections, long term, reinforced concrete beams, short term.

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DEVI, RANI, R. K. BHAT, and S. K. KHOSA. "MICROSCOPIC STUDY OF BACKBENDING PHENOMENA IN 126-132Ce." International Journal of Modern Physics E 13, no. 02 (April 2004): 529–38. http://dx.doi.org/10.1142/s0218301304002260.

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126-132 Ce isotopes, which exhibit enhanced collective behavior and occurrence of first backbend around 10+, are studied in the Variation after Projection (VAP) and Cranked Hartree–Bogoliubov (CHB) frameworks. The pairing plus-quadrupole-quadrupole (PQQ) interaction is employed as an effective interaction. The yrast spectra, B(E2) transition probabilities and variation of moment of inertia versus cranking frequency are studied. Our results show that the backbending arises as a result of the sudden alignment of a pair of protons in the h11/2 subshell.

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Sherif, Alaa G., and Walter H. Dilger. "Analysis and deflections of reinforced concrete flat slabs." Canadian Journal of Civil Engineering 25, no. 3 (June 1, 1998): 451–66. http://dx.doi.org/10.1139/l97-102.

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The results of a test on a full-scale 5 m continuous slab are used to study the methods of analysis and calculation of deflection of reinforced concrete flat slabs. The most commonly used methods for the analysis of flat slabs, namely the equivalent frame method, the prismatic member method, the direct design method, and the finite element method, are critically compared using the results of the slab tested. Based on the comparison with the unbalanced column moments in the test, improvements for the prismatic member method are suggested. For the deflection calculations of cracked reinforced concrete flexural members, three methods are investigated: the effective moment of inertia approach, the mean curvature approach, and the bilinear method given in the CEB manual for deflections. To calculate the deflections of flat slabs as column and field strip deflections, new coefficients for distributing the bending moments between the column and middle strips are proposed.Key words: analysis, deflection, flat concrete slab, test.

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Huang, Tian, Jiangping Mei, Zhanxian Li, Xueman Zhao, and Derek G. Chetwynd. "A Method for Estimating Servomotor Parameters of a Parallel Robot for Rapid Pick-and-Place Operations." Journal of Mechanical Design 127, no. 4 (October 6, 2004): 596–601. http://dx.doi.org/10.1115/1.1898343.

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By taking a 2-DOF high-speed translational parallel manipulator as an object of study, this paper presents an approach that enables the servomotor parameters of parallel robots for pick-and-place operations to be estimated in an effective manner using the singular value decomposition. These parameters include the moment of inertia, speed, torque, and power of the motor required for producing the specified velocity and acceleration of the end effector. An example is given to determine these parameters of a device for the rechargeable battery quality inspection.

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Yoshimura, Yasuhiro, Takashi Matsuno, and Shinji Hokamoto. "Three Dimensional Attitude Control of an Underactuated Satellite with Thrusters." International Journal of Automation Technology 5, no. 6 (November 5, 2011): 892–99. http://dx.doi.org/10.20965/ijat.2011.p0892.

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This paper deals with the three-dimensional attitude control of an underactuated satellite equipped with thrusters whose force directions are fixed to the satellite. First, the necessary number of thrusters for the satellite’s attitude control is discussed utilizing the Minkowski-Farkas theorem. Then, using the wzparameters for a satellite’s attitude expression, this paper proposes a nonholonomic attitude controller which is effective for any satellite regardless of its moment of inertia. Numerical simulation demonstrates the effectiveness of the proposed controller. Furthermore, the efficiency of the controller for different thruster positions is also discussed.

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Li, Wenfei, Huiyun Li, Kun Xu, Zhejun Huang, Ke Li, and Haiping Du. "Estimation of Vehicle Dynamic Parameters Based on the Two-Stage Estimation Method." Sensors 21, no. 11 (May 26, 2021): 3711. http://dx.doi.org/10.3390/s21113711.

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Vehicle dynamic parameters are of vital importance to establish feasible vehicle models which are used to provide active controls and automated driving control. However, most vehicle dynamics parameters are difficult to obtain directly. In this paper, a new method, which requires only conventional sensors, is proposed to estimate vehicle dynamic parameters. The influence of vehicle dynamic parameters on vehicle dynamics often involves coupling. To solve the problem of coupling, a two-stage estimation method, consisting of multiple-models and the Unscented Kalman Filter, is proposed in this paper. During the first stage, the longitudinal vehicle dynamics model is used. Through vehicle acceleration/deceleration, this model can be used to estimate the distance between the vehicle centroid and vehicle front, the height of vehicle centroid and tire longitudinal stiffness. The estimated parameter can be used in the second stage. During the second stage, a single-track with roll dynamics vehicle model is adopted. By making vehicle continuous steering, this vehicle model can be used to estimate tire cornering stiffness, the vehicle moment of inertia around the yaw axis and the moment of inertia around the longitudinal axis. The simulation results show that the proposed method is effective and vehicle dynamic parameters can be well estimated.

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Kara, Ilker Fatih, and Cengiz Dundar. "Effect of loading types and reinforcement ratio on an effective moment of inertia and deflection of a reinforced concrete beam." Advances in Engineering Software 40, no. 9 (September 2009): 836–46. http://dx.doi.org/10.1016/j.advengsoft.2009.01.009.

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Marian, Stănescu Răzvan. "Steel and Concrete Elasto-Plastic Models at Bridges with Steel Beams Embedded in Concrete." Romanian Journal of Transport Infrastructure 7, no. 1 (July 1, 2018): 64–76. http://dx.doi.org/10.2478/rjti-2018-0004.

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Abstract For new railway bridges with short spans (L ≤ 35.00 m) superstructures with steel beams embedded in concrete are recommended or used, which can ensure the requirements of strength and stiffness in particular, regardless of velocity. They are built relatively easily compared to reinforced concrete structures or steel structures, they have high durability if designed, built and maintained correctly and don’t have high sensitivity to fatigue degradation in service. They are also used for road bridges when it is desired to achieve a reduced construction height. In all the design prescriptions used so far for structures with steel beams embedded in concrete, the calculation is a simplified one, made on a single insulated longitudinal beam of the deck, if certain conditions related to the geometry of the structure are met (obliquity, curvature). Simplifications are also made regarding the state of deformation of the decks made in this constructive solution by introducing an effective moment of inertia in the displacement calculation, as an average of the inertia moments of the cross section considered to be cracked and respectively un-cracked. The article aims to validate steel and concrete elasto-plastic models, based on an experiment from the technical literature, necessary for complex analyses of the percentage of concrete involved in the stiffness of the cross-sections, in case of bridges with steel beams embedded in concrete.

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Akmaluddin, Akmaluddin. "Effect of Tensile Reinforcement Ratio on the Effective Moment of Inertia of Reinforced Lightweight Concrete Beams for Short Term Deflection Calculation." ITB Journal of Engineering Science 43, no. 3 (2011): 209–26. http://dx.doi.org/10.5614/itbj.eng.sci.2011.43.3.4.

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Abdollahi, Mostafa, Jose Ignacio Candela, Andres Tarraso, Mohamed Atef Elsaharty, and Elyas Rakhshani. "Electromechanical Design of Synchronous Power Controller in Grid Integration of Renewable Power Converters to Support Dynamic Stability." Energies 14, no. 8 (April 10, 2021): 2115. http://dx.doi.org/10.3390/en14082115.

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Nowadays, modern power converters installed in renewable power plants can provide flexible electromechanical characteristics that rely on the developed control technologies such as Synchronous Power Controller (SPC). Since high renewable penetrated power grids result in a low-inertia system, this electromechanical characteristic provides support to the dynamic stability of active power and frequency in the power generation area. This goal can be achieved through the proper tuning of virtual electromechanical parameters that are embedded in the control layers of power converters. In this paper, a novel mathematical pattern and strategy have been proposed to adjust dynamic parameters in Renewable Static Synchronous Generators controlled by SPC (RSSG-SPC). A detailed dynamic modeling was obtained for a feasible design of virtual damping coefficient and virtual moment of inertia in the electrometrical control layer of RSSG-SPC’s power converters. Mathematical solutions, modal analysis outcomes, time-domain simulation results, and real-time validations of the test in IEEE-14B benchmark confirm that the proposed method is an effective procedure for the dynamic design of RSSG-SPC to provide these dynamic stability supports in grid connection.

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Zhang, Bao Qiang, Guo Ping Chen, and Qin Tao Guo. "Finite Element Model Updating for Unsymmetrical Damping System with Genetic Algorithm." Applied Mechanics and Materials 166-169 (May 2012): 2999–3003. http://dx.doi.org/10.4028/www.scientific.net/amm.166-169.2999.

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Finite element model updating using incomplete complex modal data for unsymmetrical damping system with genetic algorithm is presented. The genetic algorithm method and finite element model updating based on optimization method using complex modal eigenvalue are introduced. The updating for simulation example about a flexible rotor system which is a typical unsymmetrical damping system is performed using bearing stiffness, bearing damping and diameter moment of inertia parameters. The results show that the maximum error of updated parameters is 0.15% and the objective function of genetic algorithm is 0.0081. The study demonstrates that the finite element model updating method using incomplete complex modal data with genetic algorithm is feasible and effective for unsymmetrical damping system.

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Murtha-Smith, Erling, and Thuyen P. Nguyen. "Buckling of Double Layer Grid Edge Members." International Journal of Space Structures 12, no. 2 (June 1997): 81–87. http://dx.doi.org/10.1177/026635119701200203.

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Stability equations are developed for edge joints for Double Layer Grids. Translations are neglected and rotations at each joint are related. Hence, the stiffness matrix reduces to a diagonal matrix of unit bandwidth so each joint becomes an independent substructure. Instability of an edge joint occurs when the minimum principal stiffness coefficient of the joint goes to zero. Using stability functions and the regular geometric relationships of DLG topology, the buckling forces in the members and hence the external load on the system are determined. A simple example in which the members were all of the same length, material and moment of inertia, gives effective length factors for the edge members of between 0.77 to 0.81.

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Zhang, Da Peng, Wen Ming Cheng, and Kun Cai. "Study on Prediction Deflection of at the Girder Midspan of Large Tonnage Gantry Crane Rigid Legs." Applied Mechanics and Materials 628 (September 2014): 214–18. http://dx.doi.org/10.4028/www.scientific.net/amm.628.214.

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It is the most important inspection index of the deflection value for the girder of gantry crane under rated load in the overall test. In the overall test for large tonnage gantry crane which prepared for experimental weight is very difficult at the site, or even impossible perform test. In the text, it is deduced the girder deflection curve equation where considering the effects of the leg bending moment to the girder deflection When the concentrated load is applied to the position of L/2,L/3 and 2L/3 of the girder. The girder deflection value can be obtained under small load at the position of L/2,L/3 and 2L/3 of the girder and the actual moment of inertia of the girder and two side leg can be obtained. In this way, the deflection of the large tonnage gantry crane are predicted through the data of the three-position method in the small load test. Three-position small load test method provides a practical and effective method for the prediction of the girder deflection of large tonnage gantry structure.

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Vergnano, Alberto, Matteo Marsala, Antonio Costantino, and Federico Balugani. "Efficient Simulation of Single Degree of Freedom Servomechanisms for Automatic Machines." Applied Mechanics and Materials 365-366 (August 2013): 921–25. http://dx.doi.org/10.4028/www.scientific.net/amm.365-366.921.

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An automatic manufacturing system design must be optimized with a simulation including all the interacting devices. The simulation should be controlled by the real control system with a hardware in the loop approach. So the techniques for modeling the mechanisms must be effective for the model to be run without violating the real-time protocol. This paper reports a method to model the motor load by means of a reduced moment of inertia, where all the part downstream from the motor output shaft is transformed in function of the only one mechanism degree of freedom. The resulting model behaves as the real nonlinear mechanism, but it is computationally efficient since it is not ruled by the multibody 3D CAD mathematics.

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