Relevant bibliographies by topics / Mass moment of inertia

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Academic literature on the topic 'Mass moment of inertia'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Mass moment of inertia"

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Berg, C., and J. Rayner. "The moment of inertia of bird wings and the inertial power requirement for flapping flight." Journal of Experimental Biology 198, no. 8 (January 1, 1995): 1655–64. http://dx.doi.org/10.1242/jeb.198.8.1655.

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The agility and manoeuvrability of a flying animal and the inertial power required to flap the wings are related to the moment of inertia of the wings. The moments of inertia of the wings of 29 bird species and three bat species were determined using wing strip analysis. We also measured wing length, wing span, wing area, wing mass and body mass. A strong correlation (r2=0.997) was found between the moment of inertia and the product of wing mass and the square of wing length. Using this relationship, it was found that all birds that use their wings for underwater flight had a higher than average moment of inertia. Assuming sinusoidal wing movement, the inertial power requirement was found to be proportional to (body mass)0.799, an exponent close to literature values for both metabolic power output and minimum power required for flight. Ignoring wing retraction, a fairly approximate estimate showed that the inertial power required is 11­15 % of the minimum flight power. If the kinetic energy of the wings is partly converted into aerodynamic (useful) work at stroke reversal, the power loss due to inertial effects may be smaller.
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Sun, Ling, Peng Yu, and Tong Zhang. "Measurement Method Research on Inertial Parameters of Motor Assembly." Applied Mechanics and Materials 437 (October 2013): 663–68. http://dx.doi.org/10.4028/www.scientific.net/amm.437.663.

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Inertial parameters of the motor assembly include its mass, CM (center of mass) position, moment of inertia and product of inertia. Taking one vehicle drive motor as the research object, its mass and CM position are measured by using weight method and moment balance method respectively. Its moment of inertia and product of inertia are measured by using three-wire pendulum. On the basis of analyzing the test error, this paper proposed specific measures to reduce the test error.
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Wallach, David L. "New Theorems for Moments of Inertia." International Journal of Mechanical Engineering Education 21, no. 4 (October 1993): 355–66. http://dx.doi.org/10.1177/030641909302100406.

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The moment of inertia of a plane lamina about any axis not in this plane can be easily calculated if the moments of inertia about two mutually perpendicular axes in the plane are known. Then one can conclude that the moments of inertia of regular polygons and polyhedra have symmetry about a line or point, respectively, about their centres of mass. Furthermore, the moment of inertia about the apex of a right pyramid with a regular polygon base is dependent only on the angle the axis makes with the altitude. From this last statement, the calculation of the centre of mass moments of inertia of polyhedra becomes very easy.
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Tondji, Y., and R. M. Botez. "Semi-empirical estimation and experimental method for determining inertial properties of the Unmanned Aerial System – UAS-S4 of Hydra Technologies." Aeronautical Journal 121, no. 1245 (October 11, 2017): 1648–82. http://dx.doi.org/10.1017/aer.2017.105.

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ABSTRACTThis article presents a structural analysis of the Unmanned Aerial System UAS-S4 ETHECATL. Mass, centre of gravity position and principal mass moment of inertia are numerically determined and further experimentally verified using the ‘pendulum method’. The numerical estimations are computed through Raymer and DATCOM statistical-empirical methods coupled with mechanical calculations. The mass of the UAS-S4 parts are estimated according to their sizes and the UAS-S4 class, by the means of Raymer statistical equations. The UAS-S4 is also decomposed in several simple geometrical figures which centres of gravity are individually computed, weighted and then arithmetically averaged to find the whole UAS-S4 centre of gravity. In the same way, DATCOM equations allows us to estimate the mass moments of inertia of each UAS-S4 parts that are finally sum up according to the Huygens-Steiner theorem for computing the principal moment of inertia of the whole UAS-S4. The mass of de UAS-S4 is experimentally determined with two scales. Its centre of gravity coordinates and its mass moment of inertia are found using the pendulum method. A bifilar torsion-type pendulum methodology is used for the vertical axis(14)and a simple pendulum methodology is used for the longitudinal and transversal axes(12). The test object is installed on a pendulum (simple or bifilar torsion pendulum) which is led to oscillate freely while recording the oscillation's angles and speed, by the means of three sensors (an accelerometer, a gyroscope and a magnetometer) that the calibration is also discussed. Simultaneously, nonlinear dynamic models are developed for the rotational motion of pendulums, including the effects of large-angle oscillations, aerodynamic drag, viscous damping and additional momentum of air. ‘Algorithms of minimization’ are then used to simulate and actualise the dynamic models and finally chose the model that simulated data best fit the experimentally recorded one. Pendulum parameters, such as mass moment of inertia, are lastly extracted from the chosen model. To determine the accuracy of the nonlinear dynamics approach of the pendulum method, the experimental results for an object of uniform density for which the mass moments of inertia are computed numerically from geometrical data are presented along with the experimental results obtained for the UAS-S4 ETHECATL. For the uniform density object, the experimental method gives, with respect to the numerical results, an error of 4.4% for the mass moment of inertia around theZaxis and 9.5% for the moment of inertia around theXandYaxes. In addition, the experimental results for the UAS-S4 inertial values validate the numerical calculation through DATCOM method with a relative error of 6.52% on average.
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THOLLESSON, MIKAEL, and ULLA M. NORBERG. "Moments of Inertia of Bat Wings and Body." Journal of Experimental Biology 158, no. 1 (July 1, 1991): 19–35. http://dx.doi.org/10.1242/jeb.158.1.19.

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The moments of inertia of the wings about the shoulder joint and about the roll axis were estimated in eight species of bats, using strip analysis. The moment of inertia of the bat's trunk about the roll axis was estimated by assuming the body and head to be ellipsoids. The slopes of the regressions of moment of inertia of one wing about the shoulder joint (Jw) versus body mass (mtot), wing span (b) and wing area (S) were as expected for geometrically similar animals of different size. The exponent for Jwversus body mass in bats deviates from that found for birds, while the exponent for Jw versus wing span does not. A multiple regression was used to show that Jw may be estimated by: J w = 4.49 × 10−3mtot0.53b2.15S0.65. The mean value of the moment of inertia originating from the trunk is 7 % of the bat's total moment of inertia (of wings and body combined) about the roll axis. The mass of one wing (mw) was plotted against body mass for the eight bat species, which gives: m w = 0.112mtot1 11. The slope for our bats, 1.11, is similar to that obtained for birds, 1.10. Adaptations to reduce the moments of inertia may be more important for increasing a bat's flight agility (roll acceleration) than for decreasing the total mechanical power required to fly. The influences of wing moment of inertia and wing shape on manoeuvrability and agility are discussed.
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KUPRIKOV, Mikhail Yu, Lev N. RABINSKIY, and Nikita M. KUPRIKOV. "Moment-inertial representation of the Square-cube law in aircraft industry." INCAS BULLETIN 11, S (August 1, 2019): 163–64. http://dx.doi.org/10.13111/2066-8201.2019.11.s.16.

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Flight distance depends on the dimension of the aircraft, but the designers stand against an insurmountable barrier caused by the dimension of the aircraft. In the process of analysis, alternative variants of the moment-inertial layout of fuel, engines, and commercial loads and their influence on the aircraft mass change are considered. A comparative analysis of the characteristics of the moment-inertial layouts of the main aircraft of the normal aerodynamic configuration and the aircraft made according to the flying wing scheme obtained as a result of a numerical experiment showed a clear advantage in the moment-inertia characteristics of the aircraft made according to the “Flying Wing” scheme. A number of unconditional advantages in the moment-inertial shape were revealed, such as more rational placement of the target load, fuel tanks and engines, which ensured a gain in aircraft mass up to 7-8%, only due to the rational moment-inertial layout. The moment of inertia of the aircraft depends to a fifth degree on the change in the linear type size of the aircraft.
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Podhorodeski, Ron P., and Paul Sobejko. "A Project in the Determination of the Moment of Inertia." International Journal of Mechanical Engineering Education 33, no. 4 (October 2005): 319–38. http://dx.doi.org/10.7227/ijmee.33.4.3.

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Analysis of the forces involved in mechanical systems requires an understanding of the dynamic properties of the system's components. In this work, a project on the determination of both the location of the centre of mass and inertial properties is described. The project involves physical testing, the proposal of approximate models, and the comparison of results. The educational goal of the project is to give students and appreciation of second mass moments and the validity of assumptions that are often applied in component modelling. This work reviews relevant equations of motion and discusses techniques to determine or estimate the centre of mass and second moment of inertia. An example project problem and solutions are presented. The value of such project problems within a first course on the theory of mechanisms is discussed.
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Claret, A., and A. Gim�nez. "The moment of inertia of low mass stars." Astrophysics and Space Science 169, no. 1-2 (July 1990): 215–17. http://dx.doi.org/10.1007/bf00640716.

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Кочегаров, Aleksey Kochegarov, Беляев, Aleksandr Belyaev, Тришина, and Tatyana Trishina. "Determination of moment of inertia of the tractor." Forestry Engineering Journal 3, no. 4 (January 21, 2014): 151–55. http://dx.doi.org/10.12737/2196.

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The substantiation of the economic efficiency of the analytical method for the determination of the moments of inertia of links and mechanisms of complex mechanical systems in comparison with the experimental method is given. Design scheme of a complex mech-anical system is proposed, which is a tractor, including its basic components: Rear Axle – Transmission – Engine – Front – Frame – Cabin. Definitions k – mass coefficient and  m – mass fraction are introduced. Position of coordinates of the center of mass of one of the nodes of the tractor – frame is defined. The proposed approach can be used to solve similar task for similar to the frame on the design of units of any mechanism.
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Lee, Hsing-Juin, Yang-Chung Lee, and Hsing-Wei Lee. "Determination of a missile polar mass moment of inertia." Journal of Spacecraft and Rockets 30, no. 6 (November 1993): 777–79. http://dx.doi.org/10.2514/3.26390.

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Dissertations / Theses on the topic "Mass moment of inertia"

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Cajazeiras, LÃcio Laertti Rios. "O centro de massa e aplicaÃÃes à geometria." Universidade Federal do CearÃ, 2016. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=17269.

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Muitas sÃo as ferramentas desenvolvidas para a resoluÃÃo de problemas de Geometria Euclidiana. O presente estudo apresenta uma ferramenta baseada no conceito fÃsico de centro de massa, proporcionando o desenvolvimento de habilidades necessÃrias na resoluÃÃo de problemas geomÃtricos, principalmente em relaÃÃo Ãs questÃes apresentadas em OlimpÃadas de MatemÃticas, tanto no Ensino Fundamental como no Ensino MÃdio.
There are many tools developed for solving Euclidean Geometry problems. This study presents a tool based on the physical concept of center of mass, allowing the development of the skills needed to solve geometric problems, especially the ones presented in Mathematics Olympiads, both in Elementary School and in High School.
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Xu, Tongyi. "Design and Analysis of a Shock Absorber with a Variable Moment of Inertia Flywheel for Passive Vehicle Suspension." Thèse, Université d'Ottawa / University of Ottawa, 2013. http://hdl.handle.net/10393/26293.

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Conventional vehicle suspensions consist of a spring and a damper, while mass is rarely used. A mass, if properly used, can also create a damping-like effect. However, a mass has only one terminal which makes it difficult to be incorporated into a suspension. In order to use a mass to achieve the damping-like effect, a two-terminal mass (TTM) has to be designed. However, most of the reported TTMs are of fixed moment of inertia (TTM-CMI), which limits the further improvement of the suspension performance and responsiveness to changes in environment and driving conditions. In this study, a TTM-based vibration absorber with variable moment of inertia (TTM-VMI) is proposed. The main component of the proposed TTM absorber contains a hydraulic-driven flywheel with sliders. The moment of inertia changes with the positions of the sliders in response to the driving conditions. The performance of the proposed TTM-VMI absorber has been analyzed via dynamics modeling and simulation and further examined by experiments. The analysis results indicate that the TTM-VMI absorber outperforms the TTM-CMI design in terms of body displacement; and ride comfort, tire grip and suspension deflection for zero and impulse inputs with comparable performance for sinusoidal input.
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Blad, Marika, and Balog Alexander Tynnerstål. "Design of Eccentric Double Amplitude Vibration Drum Roller Shaft with Improved Mass Moment of Inertia : Product Development of Compaction Equipment." Thesis, Blekinge Tekniska Högskola, Institutionen för maskinteknik, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:bth-19643.

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Road construction is important to make transports safe and sustainable. To compact asphalt an amount of energy needs to be conducted into the material either by static pressure or dynamic vibrations. An asphalt-roller compact the material and increases its load-bearing capacity. An eccentric shaft that generates vibrations is attached inside the roller drums. The shaft has two modes, varying between high eccentricity with slower pulses and low eccentricity with faster pulses. The study has been performed with the purpose to decrease the mass moment of inertia by redesigning the present eccentric shaft and verifying the new concepts with linear and non-linear FEM simulations. The new models were to have the same functional properties as the present eccentric shaft.  The current cross-section of the shaft was changed to a cross-section of a circle in the periphery. This was done by adding all features in new geometry to a simple shaft base and creating an analysis chain. To create the new lengthwise design brainstorming was used to generate ideas. The ideas were then sorted by using a Pugh matrix. CAD was used to model the concepts with the desired eccentric properties. Simulation in FEM software was used to acquire information about the behaviors during operation. Academic validation and useful information have been gathered by doing a literature review.  Two resulting concepts with properties fulfilling the prevailing restrictions. The circular cross-section in the periphery was adapted and the eccentric properties were kept. The simulation results from FEM software ended satisfactorily within limits for both execution in steel and ductile iron. For both concepts the mass moment of inertia was minimized, with 40.5 % in steel and in ductile iron with 42.0 % and 42.6 %.  An analysis chain has been performed showing that a cross-section with a circular geometry is optimal when the intention is to minimize the mass moment of inertia. It is possible to minimize the mass moment of inertia without negatively affecting the eccentric properties. The lengthwise design of a shaft with eccentric properties has been studied and simulated. Two concepts with varied lengthwise designs have been created with conserved eccentric properties and significantly decreased mass moment of inertia. The concepts can compose a good basis to continue investigating the lengthwise design which hopefully ends in a manufacturable eccentric shaft that contributes to environmental asphalt construction with low energy usage.
Tillverkning av vägar är viktigt för att transporter ska kunna utföras på ett säkert och hållbart sätt. För att packa asfalt behövs en mängd energi överföras till materialet genom statiskt tryck eller dynamiska vibrationer. En asfaltsvält packar materialet och ökar dess belastningsförmåga. En excentrisk axel som genererar vibrationer sitter inuti trummorna på välten. Denna axel har två lägen som varierar mellan att ha hög excentricitet med lägre puls samt låg excentricitet med högre puls.  Studien har genomförts med syftet att minska den nuvarande excenteraxelns masströghetsmoment genom att designa om den samt verifiera nya koncept med linjära och icke-linjära FEM beräkningar. De nya modellerna skulle behålla samma funktionella egenskaper som den nuvarande excenteraxeln. Det nuvarande tvärsnittet i XY-planet ändrades till en cirkel i rotationsaxlens periferi, genom att lägga till alla funktioner med nya tvärsnitt på en enkel axelbas i en analyskedja. En ny design i längsled påbörjades med brainstorming för att generera nya idéer. Idéerna sorterades sedan med hjälp av en Pugh-matris. Koncepten modellerades sedan med önskade excentriska egenskaper i CAD. FEM-mjukvara användes för att simulera koncepten och samla information om beteenden under körning. Akademisk validering och användbar information samlades in i en litteraturstudie.  Arbetet resulterade i två koncept med egenskaper som uppfyllde rådande krav. Det cirkulära tvärsnittet i periferin behölls och likaså de excentriska egenskaperna. FEM resultaten visade sig hamna tillfredsställande under gränserna med materialen stål och segjärn. För båda koncepten minskade masströghetsmomentet varav 40.5 % i stål och 42.0 % respektive 42.6 % i segjärn.  En analyskedja har genomförts som visat att ett tvärsnitt av en cirkel i periferi är optimalt med intentionen att minska masströghetsmomentet. Det är möjligt att minska masströghetsmomentet utan att påverka de excentriska egenskaperna negativt. Designen längs med en axel med excentriska egenskaper har studerats och simulerat. Två koncept med varierad design har modellerats, koncepten har behållna excentriska egenskaper och betydligt minskat masströghetsmoment. Koncepten kan utgöra gott underlag för fortsatt undersökning av designen i längdled. Förhoppningsvis kan det i sin tur resultera i en tillverkningsbar excentrisk axel som bidrar till miljövänligare asfaltskonstruktion med låg energiåtgång.
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Shekar, Sadahalli Arjun. "ADAPTIVE CONTROL DESIGN FOR QUADROTORS." OpenSIUC, 2017. https://opensiuc.lib.siu.edu/dissertations/1472.

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Unmanned Aerial Vehicles (UAV) control has become a very important point of scientific study. The control design challenges of a UAV make it one of the most researched areas in modern control applications. This thesis specifically chooses the Quadrotor as the UAV platform. Considering the quadrotor has 4 rotors and 6 degrees of freedom, it is an underactuated system and is dynamically unstable that has to be stabilized by a suitable control algorithm in order to operate autonomously. This thesis focuses on the quaternion representation of the quadrotor system dynamics and develops an adaptive control for its trajectory tracking problem. The control design uses the certainty equivalence principle where adaptive tracking controls are designed separately for each of the translational and rotational subsystems. With this approach, the success of the outer loop translational control relies on the fast convergence of the inner loop rotational control in order to guarantee the system’s stability while achieving the tracking objective. For the translational subsystem in the outer loop, a modified geometric control technique is considered with an adaptive component for the estimation of the uncertain mass of the quadrotor. For the rotational subsystem in the inner loop a backstepping based control design is adopted due to its systematic design and intuitive approach. An adaptive component is further integrated with it to estimate the integrated components of the uncertain Moment of Inertia matrix and other constant parameters in the system dynamics to guarantee the stability of the inner loop system while achieving the tracking objective. Furthermore, a complete backstepping control design methodology is presented which overcomes the issues of certainty equivalence principle where the inner loop needs to execute significantly faster than the outer loop to stabilize the system.
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Eicholtz, Matthew R. "Design and analysis of an inertial properties measurement device for manual wheelchairs." Thesis, Georgia Institute of Technology, 2010. http://hdl.handle.net/1853/34677.

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The dynamics of rigid body motion are dependent on the inertial properties of the body - that is, the mass and moment of inertia. For complex systems, it may be necessary to derive these results empirically. Such is the case for manual wheelchairs, which can be modeled as a rigid body frame connected to four wheels. While 3D modeling software is capable of estimating inertial parameters, modeling inaccuracies and ill-defined material properties may introduce significant errors in this estimation technique and necessitate experimental measurements. To that end, this thesis discusses the design of a device called the iMachine that empirically determines the mass, location of the center of mass, and moment of inertia about the vertical (yaw) axis passing through the center of mass of the wheelchair. The iMachine is a spring-loaded rotating platform that freely oscillates about an axis passing through its center due to an initial angular velocity. The mass and location of the center of mass can be determined using a static analysis of a triangular configuration of load cells. An optical encoder records the dynamic angular displacement of the platform, and the natural frequency of free vibration is calculated using several techniques. Finally, the moment of inertia is determined from the natural frequency of the system. In this thesis, test results are presented for the calibration of the load cells and spring rate. In addition, objects with known mass properties were tested and comparisons are made between the analytical and empirical inertia results. In general, the mass measurement of the test object had greater than 99% accuracy. The average relative error for the x and y-coordinates of the center of mass was 0.891% and 1.99%, respectively. For the moment of inertia, a relationship was established between relative error and the ratio of the test object inertia to the inertia of the system. The results suggest that 95% accuracy can be achieved if the test object accounts for at least 25% of the total inertia of the system. Finally, the moment of inertia of a manual wheelchair is determined using the device (I = 1.213 kg-m²), and conclusions are made regarding the reliability and validity of results. The results of this project will feed into energy calculations for the Anatomical Model Propulsion System (AMPS), a wheelchair-propelling robot used to measure the mechanical efficiency of manual wheelchairs.
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Schulze, Sören. "Bewegungsdesign unter Berücksichtigung des reduzierten Massenträgheitsmoments." Universitätsbibliothek Chemnitz, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-206894.

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Das Bewegungsdesign stellt einen wichtigen Aspekt beim Betrieb von ungleichmäßig übersetzenden Mechanismen dar. Durch Minimierung von Bewegungsparametern wie der Geschwindigkeit und Beschleunigung ist die Verringerung von Schwingungsamplituden sowie Bauteildeformationen infolge kinetostatischer Kräfte erzielbar. Weiterhin kann hierdurch der Verlauf des Antriebsmoments des Motors beeinflusst werden. Das reduzierte Massenträgheitsmoment J(φ) eines nichtlinear übersetzenden Mechanismus ist stellungsabhängig definiert durch die generalisierte Koordinate φ. Daher stellt die Minimierung von Beschleunigung und Geschwindigkeit mittels konstanter Grenzen über den gesamten Antriebsbereich eine Vereinfachung dar, welche die stellungsabhängige Trägheit außer Acht lässt. Der Beitrag stellt eine Möglichkeit zur Generierung der Grenzwerte für die Beschleunigung und Geschwindigkeit aus den Verläufen des reduzierten Massenträgheitsmoments J(φ) sowie dessen Ableitung nach der generalisierten Koordinate J‘(φ) vor. Die ermittelten Ober- und Untergrenzen dienen als Parameter für einen Optimierungsalgorithmus. Dieser nutzt den Ansatz der harmonischen Synthese um mit Hilfe der linearen Programmierung die Bewegungsfunktion zu generieren. Für einen Mechanismus mit einem Freiheitsgrad wird mittels eines herkömmlichen Ansatzes und mit dem neu vorgestellten Verfahren das optimale Bewegungsgesetz ermittelt. Mittels einer Mehrkörpersimulation werden neben Geschwindigkeit und Beschleunigung auch das resultierende Antriebsmoment und der Energiebedarf bilanziert.
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Koh, Meng hock. "Fission-barriers and energy spectra of odd-mass actinide nuclei in self-consistent mean-field calculations." Thesis, Bordeaux, 2015. http://www.theses.fr/2015BORD0208/document.

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Alors qu’il existe de nombreux calculs microscopiques de barrières de fission pour des noyaux composés pair-pairs, il n’y a cependant que relativement peu de tels calculs pour des noyaux de masse impaire. Ceci est dû aux complications induites par la brisure de la symétric de reversement du sens du temps au niveau du champ moyen qui est engendrée par la présence d’un nucleon non apparié. Pour éviter cette difficulté, des calculs existants pour des noyaux de masse impaire ont tout simplement négligé ces effets de brisure de la symétrie de reversement du sens du temps.Dans ce travail, on se donne pour but d’améliorer la description des barrières de fission, aussi bien que des propriétés spectroscopiques du niveau fondamental et de l’état isomérique de fission,pour quelques isotopes de masse impaire dans la région des actinides en prenant en compte de tels effets. Ceci a été réalisé dans le cadre du formalisme de Skyrme–Hartree–Fock plus BCS avec blocking en adaptant ce formalisme à la brisure de la symétrie considérée. L’interaction résiduelle d’appariement a été approchée par une force de séniorité dont les paramètres ont été ajustés pour reproduire les différences de masse pair-impair de quelques noyaux de la région des actinides.Les énergies des têtes de bande rotationnelle de basse énergie ont été calculées dans le cadre du modèle unifié de Bohr-Mottelson pour quatre noyaux bien déformés (235U, 239Pu, 237Np, 241Am)produisant un bon accord qualitatif avec les données pour les noyaux impairs en neutrons. L’accord significativement moins bon obtenu pour les noyaux impairs en protons pourrait résulter de l’usage de l’approximation de Slater pour l’interaction d’échange de Coulomb. Les énergies de déformation de deux noyaux impairs en neutrons (235U, 239Pu) ont été calculées pour quelques configurations de particule individuelle, jusqu’après la barrières de fission externe. La symétrie axiale a été imposée tandis que la brisure de la symétrie droite-gauche (ou de parité intrinsèque) a été permise dans la région de la seconde barrière. Les hauteurs des barrières de fission pour ces noyaux impairs dépendent significativement des configurations de particule individuelle. Un accord qualitatif avec les données disponibles pour les hauteurs de barrières des noyaux impairs considérés et leurs voisins pair-pairs a été généralement obtenu
While there have been numerous microscopic calculations on fission barriers of even-even compoundnuclei, there are however, relatively few such work dedicated to odd-mass nuclei. This is dueto the complications posed by the breaking of the time-reversal symmetry at the mean-field leveldue to the presence of an unpaired nucleon. In order to circumvent this difficulty, previous fission barriercalculations of odd-mass nuclei have been performed by neglecting the effect of time-reversalsymmetry breaking. This work aims to improve on the description of fission barriers as well asthe spectroscopic properties of ground and fission-isomeric state, of some odd-mass actinide nucleiby taking the effect of time-reversal symmetry breaking into account. This has been perfomedwithin a Skyrme-Hartree-Fock-plus-BCS framework with blocking, where the BCS formalism hasbeen adapted to accomodate this symmetry breaking. The Skyrme nucleon-nucleon effective forcehas been used with various sets of parameters (SIII, SkM*, SLy5*). The residual pairing interactionhas been approximated by seniority forces whose neutron and proton parameters have beenfitted to reproduce the odd-even mass differences of some actinide nuclei. The low-lying rotationalband-head energies evaluated within the Bohr-Mottelson unified model have been determined forfour well-deformed odd-nuclei (235U, 239Pu, 237Np, 241Am) yielding a good qualitative agreementto the data for odd-neutron nuclei. The agreement was significantly less good for the odd-protonnuclei, possibly due to the use of the Slater approximation for the exchange Coulomb interaction.The deformation energies of two odd-neutron nuclei (235U and 239Pu) have been calculated forsome single-particle configurations up to a point beyond the outer fission-barrier. Axial symmetrynuclear shape has been assumed while a breaking of the left-right (or intrinsic parity) symmetryhas been allowed around the outer fission-barrier. The fission-barrier heights of such odd-neutronnuclei depend significantly on the particle configurations. A special attention has been paid tothe very important rotational correction to deformation energies. In particular, the correction ofthe moment of inertia calculated from the usual Belyaev expression was considered. Overall, aqualitative agreement with available data on fission-barrier heights for the considered odd-neutronnuclei and their even neighbours has been obtained
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Warmoth, Francis James. "Floor Vibrations: Girder Effective Moment of Inertia and Cost Study." Thesis, Virginia Tech, 2002. http://hdl.handle.net/10919/41005.

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Studies on the effective moment of inertia of girders that support concrete slabs using joist seats as the horizontal shear connections, and a cost efficiency analysis comparing composite and non-composite floor systems that meet vibrations design standards, were conducted. The first study was undertaken because over-prediction of girder effective moment of inertia was the suspected cause of several recent vibration problems in floors supported by widely spaced LH-series joists. Eight purpose-built floors of the type in question were subjected to experimental tests of girder effective moment of inertia and girder frequency. Frequencies were tested for two live loading cases. Three separate test configurations were made with each floor by changing the seat-to-girder connections between bolted, welded, and reinforced. In the study, 1) the accuracy of the current design practice is assessed, 2) a new relationship was proposed, and 3) suggestions for finite element modeling are made. In recent years, composite construction has been used to improve cost efficiency by reducing structural weight and in some cases by reducing story height. However, vibration problems are a design consideration in composite floors because lighter floors tend to be more lively. It is not clear if cost savings can be made with composite construction if vibrations are considered in the design. To compare the cost of composite and non-composite floors that satisfy AISC/CISC Design Guide criterion for walking excitation, four typical size bays were analyzed using commercial design software that finds the least expensive member configuration for a given bay size. All acceptable bay configurations of member sizes and spacing were evaluated for least non-composite and composite costs, then these results were compared. The findings show that composite construction can be more economical when initial dead load deflections do not control the design.
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Schorah, David J. "The effect of moment of inertia on the speed of swung implements." Thesis, Sheffield Hallam University, 2015. http://shura.shu.ac.uk/20803/.

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The maximum swing speed of an implement is an important performance parameter in many sports. It is understood that moment of inertia (MOI) has an effect upon the swing speed of an implement and numerous studies have found a similar rate of swing speed decay (n). These studies considered different movements which suggested that skill was less important than physique to the relationship between swing speed and MOI. The aim of this project was to quantify this relationship and to determine whether the physical characteristics of a participant can be used to predict their swing speed performance. A series of eight visually identical rods with varied MOI were swung in a heavily restricted, maximal motion and trials were recorded with a motion capture system. The results found that swing speed decreased as MOI increased. It was also found that if n was assumed to be constant, the maximum work done by a participant was strongly and significantly related to their swing speed. The relationship between work done and swing speed was used to create a model to predict swing speed for an implement with a specific MOI. This model was validated for a new set of participants performing the same restricted motion and all measured data fell within the confidence intervals of the predictions. The ecological validity of the model was tested in an analysis of the swing speed of tennis groundstrokes. An impact model was used to analyse the effect of changing MOI on ball speed. It was discovered that there is an optimum MOI that produces a maximum ball speed and that this optimum MOI is dependent upon n. This makes the customisation of equipment a realistic possibility. A simple method for measuring n in a non-laboratory environment is proposed that will enable the customisation process to take place.
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Pearce, Steven James. "Core-mantle interactions resulting from sudden changes in the Earth's moment of inertia." Diss., The University of Arizona, 1995. http://hdl.handle.net/10150/187267.

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The effect of sudden changes in the Earth's moment of inertia on the hydromagnetic state of the core is studied. Rapid changes in georotation, due to ice age transgression and regression, are described as varying boundary conditions in an axisymmetric Earth model containing both viscous and electromagnetic coupling. The deterministic equations describing the limit of rapid rotation are employed in conjunction with restricted 2-D predictive magneto-fluid equations. A kinematic description is devised for both buoyancy driven mass motions and the regeneration of the poloidal magnetic field. A pseudo-spectral method is used to solve the incompressible magneto-fluid equations. The variables are collocated in radius using Chebyshev polynomials and the pseudospectral evaluations in colatitude are done using associated Legendre polynomials. Time dependence and magnetic diffusion are controlled by a modified second order semi-implicit Runge Kutta scheme. Deterministic steady state solutions were found in full agreement with Hollerbach and Jones (1993a,b; 1995). Steady state boundary layers, arising from differential motion of the outer core boundaries, were found to induce significant departures for both α²- and αω-dynamo steady state configurations. The hydromagnetic communication time of the core, determined the predictive magneto-fluid equations, is found to be consistent with the deterministic calculations. 'Within the context of this model, it is concluded that a causal connection is plausible between geomagnetic transients and significant changes in the Earth's moment of inertia.
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Books on the topic "Mass moment of inertia"

1

Patiño, Fabián Hoyos. Sobre hombros de gigantes: La formación del concepto de inercia. Medellín, Colombia: Hombre Nuevo Editores, 2001.

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Alessandro, Spallicci, Whiting Bernard, and SpringerLink (Online service), eds. Mass and Motion in General Relativity. Dordrecht: Springer Science+Business Media B.V., 2011.

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Derval, Diana. Wait marketing: Is it the right moment? 2nd ed. Amsterdam: Derval Research, 2009.

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Derval, Diana. Wait marketing: Is it the right moment? 2nd ed. Amsterdam: Derval Research, 2009.

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Spangenberg, Peter M. Im Moment des "Mehr": Mediale Prozesse jenseits des Funktionalen. Berlin: Lit, 2012.

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Derval, Diana. Wait marketing: Communicate at the right moment at the right place. Amsterdam: Derval Research, 2007.

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Saar, Betye. Betye Saar: Extending the frozen moment. Ann Arbor: University of Michigan Museum of Art, 2005.

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Betye Saar: Extending the frozen moment. Ann Arbor, MI: University of Michigan Museum of Art, 2005.

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John, Hough. A player for a moment: Notes from Fenway Park. San Diego: Harcourt Brace Jovanovich, 1988.

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Forward from this moment: Selected columns, 1994/2008. Chicago: Agate, 2009.

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Book chapters on the topic "Mass moment of inertia"

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Kaššay, Peter, and Robert Grega. "Measuring Mass Moment of Inertia of a Rotor—Two Simple Methods Using no Special Equipment." In Current Methods of Construction Design, 303–15. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-33146-7_35.

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Horvath, Joan, and Rich Cameron. "Moment of Inertia." In 3D Printed Science Projects Volume 2, 83–96. Berkeley, CA: Apress, 2017. http://dx.doi.org/10.1007/978-1-4842-2695-7_5.

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Gooch, Jan W. "Moment of Inertia." In Encyclopedic Dictionary of Polymers, 472. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_7664.

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Ghavami, Parviz. "Moment of Inertia." In Mechanics of Materials, 111–41. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07572-3_5.

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Beatty, Millard F. "The Moment of Inertia Tensor." In Principles of Engineering Mechanics, 355–404. Boston, MA: Springer US, 2006. http://dx.doi.org/10.1007/978-0-387-31255-2_5.

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Islam, M. Rashad, Md Abdullah Al Faruque, Bahar Zoghi, and Sylvester A. Kalevela. "Moment of Inertia of Area." In Engineering Statics, 239–68. First edition. | Boca Raton: CRC Press, 2021.: CRC Press, 2020. http://dx.doi.org/10.1201/9781003098157-10.

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Singh, Dinesh Kumar. "Centroid and Moment of Inertia." In Strength of Materials, 89–142. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-59667-5_3.

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Lyle, Stephen N. "Electromagnetic Mass." In Self-Force and Inertia, 31–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04785-5_3.

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Jaekel, Marc-Thierry, and Serge Reynaud. "Mass, Inertia, and Gravitation." In Mass and Motion in General Relativity, 491–530. Dordrecht: Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3015-3_18.

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Schulze, Sören, Carsten Teichgräber, and Maik Berger. "Motion Design Considering Moment of Inertia." In New Trends in Mechanism and Machine Science, 203–10. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44156-6_21.

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Conference papers on the topic "Mass moment of inertia"

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Dovydenko, O., A. Samoylenko, and V. Petronevich. "Special measurement standard of mass, mass center and inertia moment." In 2020 IEEE 7th International Workshop on Metrology for AeroSpace (MetroAeroSpace). IEEE, 2020. http://dx.doi.org/10.1109/metroaerospace48742.2020.9160294.

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Sepahpour, Bijan, and Ian S. Fischer. "Mass Moment of Inertia of External Geneva Wheels." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0107.

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Abstract Equations have been developed and design curves are presented to accurately estimate the mass moment of inertia of the Geneva wheel component in mechanisms used for indexing and intermittent motion applications. The curves are non-dimensionalized so that they can be applied whatever material is used for the Geneva mechanism and whatever units are used for the calculation of the dynamics.
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Khushbash, Sara, Ali Javed, and Taimur Ali Shams. "Computational analysis of low mass moment of inertia flying wing." In 2021 International Bhurban Conference on Applied Sciences and Technologies (IBCAST). IEEE, 2021. http://dx.doi.org/10.1109/ibcast51254.2021.9393181.

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Stanley, Richard. "An Analysis of the Simplified Two-Mass System of the Connecting Rod in Spark Ignition Engines." In ASME 2002 Internal Combustion Engine Division Fall Technical Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/icef2002-511.

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Replacing the connecting rod with a lumped two-mass system causes an error, which influences the inertia rolling moment, the thrust force between the piston and the cylinder liner, and the loading on the main bearings. Dimensionless relationships have been found that relate the inertia error due to the connecting rod simplification (the inertia error) to the errors of the forces and moments that are created by it. Additionally, the results of a statistical study of 19 SI connecting rods indicate that the mass moment of inertia of the two mass system is −2.65% to 22% higher than that the experimentally measured moment of inertia of the connecting rod, with an average error value of 9.65%.
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Jardin, Matthew, and Eric Mueller. "Optimized Measurements of UAV Mass Moment of Inertia with a Bifilar Pendulum." In AIAA Guidance, Navigation and Control Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-6822.

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Ye, Zhonghe, and M. R. Smith. "Mass Flow and Derivative Moment of Inertia Flow in Planar (Geared) Linkages." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0414.

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Abstract The paper describes a method for the determination of the conditions for the complete shaking force and shaking moment balancing of planar linkages, including geared linkages, with revolute and prismatic joints. The conditions may be written down without the need for any kinematic analysis of the linkage by the application of two new concepts. These are the concept of mass flow for complete shaking force balance and the concept of derivative moment of inertia flow for complete shaking moment balance, the second of which is described here for the first time. A number of examples demonstrate the power of the method.
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Wang, L., R. Kovacevic, and Hui-jun Zou. "An Experimental Study of Elastic Mechanism With Lumped Mass and Inertia Moment." In ASME 1992 Design Technical Conferences. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/detc1992-0432.

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Abstract This study aims at the experimental investigation of the dynamic characterization of high-speed mechanism with great flexibility. We use the specific constraction mechanism TLJ as an example and focus our research on the influence of lumped mass and inertia moment. Using the auther’s KED analysis program KEDL, many important concepts have been put forward based on the results and some new conclusions have been drawn.
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Song, Jeyoung, Dong Eui Chang, and Yongsoon Eun. "Passivity-based Adaptive Control of Quadrotors with Mass and Moment of Inertia Uncertainties." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9029780.

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Arafa, Hani A., and Mohamed L. Shaltout. "Optimal Design of Mechanical Transmissions for High Performance Servo-Drive Systems." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-85269.

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Optimizing the design of the mechanical transmission elements in a servo-drive system has a profound effect on its dynamic performance; the acceleration capability. Servo-drive systems can be classified, according to the type of its inertial load, into rotary and translatory systems. Accordingly, the components of the transmission system mainly include a gear set and/or a ball-screw. In this paper the effect of the mechanical transmission characteristics (moments of inertia, gear set reduction ratio and ball-screw pitch) on the acceleration capability of the servo-drive system is investigated. Three gear schemes are presented in order to describe the variation of the gear set moment of inertia as function of its reduction ratio. In the first gear scheme, the driving pinion dimensions and moment of inertia remain constant, while the driven gear wheel pitch circle diameter increases as the gear set reduction ratio increases. The second gear scheme assumes a fixed center distance between the pinion and gear wheel for any gear set reduction ratio. Finally, the third gear scheme expresses the mass moment of inertia of the pinion and the gear wheel as a function of the gear set reduction ratio and the mass moment of inertia of the pinion at unity gear ratio. A generalized relation, applicable to any gear scheme, between the pinion moment of inertia at unity reduction ratio and the applied torque is presented. The effect of the choice of the gear scheme on the acceleration capability of the rotary and translatory servo-drive systems is investigated and compared. The paper provides the servo-system designer with means for integrating the “variable” reduction gear characteristics into the mechanical model in an adaptive manner.
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Taniguchi, Tomoyo, and Toru Segawa. "Effective Mass of Fluid for Rocking Motion of Flat-Bottom Cylindrical Tanks." In ASME 2009 Pressure Vessels and Piping Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/pvp2009-77580.

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In analyzing the rocking motion of the flat-bottom cylindrical tanks subjected to severe earthquakes, the effective mass of fluid for the rocking motion and its moment inertia around the pivoting bottom edge of the tank would be indispensable dynamical properties, because they couples the fluid-shell interaction motion, the so-called bulging motion, with the rocking motion. This paper quantifies them based on the equilibrium of the fluid pressure and inertia force accompanying the angular acceleration acting on the pivoting bottom edge of the tank. Employing a general mathematical solution for the fluid pressure that can calculate either fully or partially uplifted tank bottom, this paper presents mathematical formulae of the effective mass of fluid for the rocking motion and its moment inertia. These quantities are given by an explicit function of dimensional variables of the tank but with Fourier series. For designer’s convenience, the effective moment inertia and effective mass of fluid for the rocking motion and its center of gravity from the pivoting bottom edge are normalized accordingly and are depicted on diagrams.
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Reports on the topic "Mass moment of inertia"

1

LaFiandra, Michael E. A Tool for Calculating the Center of Mass and Moment of Inertia of Small Arms Weapons. Fort Belvoir, VA: Defense Technical Information Center, July 2008. http://dx.doi.org/10.21236/ada486345.

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Andriulli, J. B. A simple rotational pendulum method to measure the radii of gyration or mass moments of inertia of a rotor and other assemblies. Office of Scientific and Technical Information (OSTI), January 1997. http://dx.doi.org/10.2172/416947.

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