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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
11

Elektrinio variatoriaus panaudojimas dyzelinio variklio darbo optimizavimui / Use of electrical variator for optimization of diesel engine

Lukas, Martynas 11 June 2013 (has links)
Darbe nagrinėjami elektros varikliais valdomi planetiniai reduktoriai - variatoriai. Atliktos mokslinių straipsnių analizės metu susipažinta su įvairių rūšių automobiliuose naudojamomis transmisijomis: pateikta jų klasifikacija, apžvelgtos dažniausiai naudojamos transporte pavarų dėžės. Pateikta tyrimo metodika, apžvelgti eksperimentinių tyrimų įrenginiai ir priemonės. Atlikti elektros varikliu valdomo planetinio reduktoriaus eksperimentai su suprojektuotu tyrimo stendu. Palygintos belaipsnės pavarų dėžės su parinktu dyzeliniu varikliu, bei pateiktos išvados ir rekomendacijos. / This thesis analyzes the electric motor which controlled by planetary gearboxes - variator. Accomplished scientific articles during the analysis been familiarized with different kinds of transmissions which used in vehicles: submitted their classification, reviewed most commonly gearbox which used in transport. Submitted research methods, an overview of experimental research equipment and facilities. Performed experiments of electric motor controlled by planetary gear with designed study stand. Were was compared continuous variable transmission with a selected on diesel engine, submitted conclusions and recommendations.
12

Dinâmica, controle e análise de estabilidade de uma cadeira de rodas motorizada com sistema de locomoção epicíclico capaz de superar obstáculos

Pastro, Thiago Rogério Schmidt January 2017 (has links)
Orientador: Prof. Dr. Luis Alberto Martinez Riascos / According to the Instituto Brasileiro de Geografia e Estatística (IBGE) in the sense of 2010, motor disability was the second kind of deficiency that most affected people, where 13.265.599 people claimed to have limited mobility, representing 7,0% of brazilian people. Many of these people are wheelchair users and suffer constantly by needing help from others to go up and down stairs in environments that contain no ramps, as in many schools, universities, houses, hospitals, bus stations and transportation facilities. In this work, several kind of locomotion mechanisms in the mobile robotics that can be used in the assistive technology will be studied. Firstly, an analysis will be made, pointing out the pros and cons of each one, regarding the execution of the obstacles overcoming function, with the least energy consumption. The epicyclic mechanism, very used not only in the mobile robotics but in other areas, was identified to be the most suitable to the application. Its structure was projected, improved and adapted to the wheelchair. Then, through a multicorp analysis with the Euler-Lagrange equation and the virtual work principle, the development of a model to represent the dynamic behavior of the system was possible. Because of that, the estimation of energetic efficiency in comparison to other wheelchair already available in the market (as the tracked wheelchairs which executes the same function), and also the identification of a situation that could jeopardize the wheelchair user (as during downhills obstacles overcoming), was possible. Therefore, the need of a speed controller implementation to guarantee the wheelchair user stability in theses situations was shown. The control system has shown satisfactory results, meeting the performance specifications, with control signals always in the operation range of work of the actuator. The wheelchair with epicyclic locomotion system has been shown to be superior to the tracked wheelchair in many aspects as: terrain adaptability, vibration, energy consumption, etc, what makes it a promising competitor in the area of assistive technology devoted to the obstacles overcoming. / Tese ( doutorado)- Universidade Federal do ABC. Programa de Pós-Graduação em Energia, 2017. / Segundo o Instituto Brasileiro de Geografia e Estatística (IBGE) no Censo 2010, a deficiência motora foi o segundo tipo de deficiência que mais incidiu sobre a população, onde 13.265.599 pessoas declararam ter dificuldade de locomoção, representando 7,0% da população brasileira. Muitas destas pessoas são cadeirantes e sofrem por constantemente precisar de ajuda externa para subir ou descer escadas em ambientes que não contém rampas, como em muitas escolas, universidades, casas, hospitais, shoppings, estações rodoviárias e meios de transporte. Neste trabalho, serão estudados diversos mecanismos de locomoção da área da robótica móvel que podem ser utilizados na área de tecnologia assistiva. Primeiramente, haverá uma análise, indicando os prós e contras de cada um, no que se refere a executar a função de superar obstáculos através de uma cadeira de rodas, com o menor consumo de energia. O mecanismo epicíclico, muito utilizado não só no campo darobóticamóvel, mas em outras áreas, foi identificado como o mais adequado à aplicação. Sua estrutura foi projetada, melhorada e adaptada à cadeira de rodas. Através de uma análise multicorpos com as equações de Euler-Lagrange e o princípio do trabalho virtual, foi possível desenvolver um modelo que representasse o comportamento dinâmico do sistema. Com isso foi possível estimar sua eficiência energética frente a outras cadeiras já disponíveis no mercado (como as cadeiras do tipo esteira que executam a mesma função), e identificar situações que pudessem por em risco o cadeirante (como na superação de obstáculos durante descidas). Mostrou-se, portanto, a necessidade de implementação de um controlador de velocidade para garantia de estabilidade ao cadeirante nestas situações. O sistema de controle mostrou ser estável, atendendo as especificações de desempenho, com sinais de controle sempre dentro dos limites do atuador. As cadeiras com sistema epicíclico mostraram-se superiores às do tipo esteira, em muitos aspectos tais como: adaptabilidade ao terreno, vibração, consumo de energia, etc, o que a torna uma concorrente promissora na área de tecnologia assistiva dedicada à superação de obstáculos.
13

Internal vibration monitoring of a planetary gearbox

De Smidt, Marc Ryan 24 August 2010 (has links)
Vibration monitoring is widely used to determine the condition of various mechanical systems. Traditionally a transducer is attached to the structure under investigation and the vibration signal recorded. This signal is then processed and the required information extracted from the signal. With epicyclic gearboxes this traditional approach is not advisable. This is in part due to the fact that the planet gears rotate internally on a planet carrier. Special techniques are therefore required to extract a viable data signal from the measured vibration signal. These techniques require an additional post-processing step in which a compiled data signal is extracted from the measured data signal. This work investigates the possibility of mounting transducers internally on the rotating planet carrier. Mounting transducers at this location removes the relative motion seen in traditional measurement techniques. An epicyclic gearbox is modified to facilitate the internal mounting of the accelerometers. A number of implementation problems are highlighted and solutions to these problems are discussed. A large portion of the work is dedicated to implementing and qualifying the epicyclic time synchronous averaging technique which is traditionally used to evaluate epicyclic gearboxes. As this technique forms the basis to evaluate the data obtained from internal measurements, it is of fundamental importance that the technique is implemented correctly. It is shown that vibration data can be reliably measured internally, by means of accelerometers mounted on the planet carrier. The internally measured data is compared to data obtained by traditional techniques and shown to be equally adept in detecting deterioration of a planet gear tooth. Simple condition indicators were used to compare the vibration data of the two techniques. It was seen that the data obtained from the internally mounted accelerometers was equally, and in certain cases, slightly more sensitive to planet gear damage. This implies that the technique can be used successfully to evaluate epicyclic gearbox damage. There are a number of practical implementation problems that will limit the use of this technique. As the technology becomes available to transmit measured vibration signals wirelessly, the application of the internal measurement technique will become more viable. A preliminary investigation was also launched into the relationship between a planetary gearbox with a single planet gear and one with multiple planet gears. It is illustrated that vibration data, measured from a gearbox containing a single planet gear, shows an increased sensitivity to planet gear damage. Although a special test rig might be required, the increased sensitivity to damage can provide a method to test planet gears in critical applications such as aircraft gearboxes. Copyright / Dissertation (MEng)--University of Pretoria, 2010. / Mechanical and Aeronautical Engineering / unrestricted
14

Study on the Design Methodology for the Epicyclic-Type Automatic Transmissions of Automobiles

Huang, Ruei-Hong 09 February 2009 (has links)
An automatic transmission is a device that is connected to the back of an engine and sends the power from the engine to the drive wheels. Its job is to keep the engine within a certain angular velocity. Although there are many epicyclic-type automatic transmissions in production, the related configuration design methods are still tedious and prone to human error. A simple and analytic methodology needs to be developed. Therefore, the purpose of this research is to present an efficient methodology for the systematic design of the epicyclic gear transmissions for automobiles. First, fundamentals and gear-shifting operations of the four-speed, five-speed and six-speed epicyclic-type automatic transmissions are illustrated to establish the design requirements. Second, based on the kinematic equations of the fundamental geared entities and the corresponding basic gear ratios, a procedure is applied to execute the kinematic and mechanical-efficiency analyses for the automatic transmissions. Third, two simple clutching-sequence synthesis methods are proposed and illustrated. One is based on the speed ratio equations, and another is based on the lever diagram. Next, a planar-graph representation is presented to arrange the desired clutches for each possible clutching sequence into the epicyclic gear mechanism. Then, the number of teeth of each gear is synthesized from assigning two or three desired speed ratios by the analytic method. Finally, a computer-aided design program for the clutching-sequence synthesis is developed with the considerations of the design requirements. With the above methods, the systematic designs of the 204 epicylic gear mechanisms are given for demonstrating the feasibility of the proposed methodology. The result of this work shows that the seven-link two-DOF epicylic gear mechanisms, the eight-link two-DOF Ravigneaux gear mechanism, and the nine-link two-DOF parallel-connected epicylic gear mechanisms could reach four-, six-, and six-forward speeds at most, respectively.
15

Study on the Lever Diagrammatical Methodology for the Epicyclic-Type Automatic Transmissions of Automobiles

Su, Bai-jian 31 August 2009 (has links)
¡@An automatic transmission that is a transmission device between the engine and drive wheel, offers the vehicle while increasing and decreasing the speed mainly. Its job keeps the engine within a certain working rotational speed range.¡@Although there are many epicyclic-type automatic transmissions in production, the related design methods of lever diagram is not well developed.¡@Thus, the purpose of this research is to develop a systematic design of the epicyclic gear transmissions for automobiles with lever diagrammatical methodology.¡@First, fundamentals and gear-shifting operations of the four-speed and six-speed epicyclic-type automatic transmissions are illustrated to establish the design requirements.¡@Second, based on the basic theories of lever diagram, a procedure is applied to kinematic analysis for automatic transmission existed, and set up composite lever diagrams of 13 two-DOF seven-link epicyclic gear mechanisms and 190 two-DOF nine-link epicyclic gear mechanisms.¡@Next, a general clutching-sequence synthesis of lever diagrammatical method are proposed and illustrated. According to the limit range of lever dimensions established for four and five coaxial components, the clutching-sequences and the ranges of basic gear ratio of the feasible gear trains can be derived.¡@Finally, the planar-graph representation for arranging desired clutch and the number of teeth based on lever dimensions are applied to design six-forward speeds automatic transmission. The result of this work shows that the seven-link two-DOF epicylic gear mechanisms, and the nine-link two-DOF parallel-connected epicylic gear mechanisms could reach four- and six-forward speeds at most, respectively.
16

Návrh dvouosé automatické univerzální frézovací hlavy osazené elekrovřetenem s aplikací pohonů Harmonic-Drive / Design of universal cutter head with Harmonic-Drive application

Uhlíř, Jaromír January 2010 (has links)
The goal of this thesis is to create a survey of possible design solutions to drive milling head. Evaluate them in terms of both economic and technical, then propose a universal milling head so that best met the requirements stated in the award of this work. MT, ÚVSSR, 2010, pages 96, picture 55
17

Modélisation d'un palier hydrodynamique de réducteur épicycloïdal opérant en conditions sévères / Modeling of a planetary gearbox hydrodynamic journal bearing under severe operating conditions

Pap, Bałint 29 May 2018 (has links)
De nombreux projets visant à réduire l’impact environnemental global des avions sont lancés au niveau européen. L’un des moteurs étudié pour les avions moyens et longs courriers est le moteur Ultra High Bypass Ratio (UHBR) : un moteur simple corps, double flux, à flux externe fortement augmenté. Le moteur UHBR doit être équipé d’un réducteur épicycloïdal, qui est un composant jamais utilisé dans un turboréacteur jusqu’à présent. L’optimisation d’un réducteur épicycloïdal a conduit à l’utilisation de paliers hydrodynamiques pour supporter les pignons satellites du porte-satellites.Pour une telle application, le palier hydrodynamique subit une déformation très élevée due aux charges de l’engrènement sur le pignon satellite et à l’effet centrifuge engendré par la rotation du porte-satellites. La géométrie optimisée des composants du palier varie avec le comportement thermique et mécanique des pièces, nécessitant la prise en compte d’une modélisation thermoélastohydrodynamique (TEHD).Afin de modéliser précisément ces phénomènes, un modèle conservatif dans la zone inactive en régime TEHD a été développé et validé à l’aide des résultats d’essais de la littérature et des bancs d’essais de Safran Transmission Systems. Les résultats obtenus montrent un double champ de pression dans le palier hydrodynamique du réducteur épicycloïdal, engendré par la forte déformation élastique du pignon agissant ainsi de façon significative sur le comportement dynamique du palier. De plus, l’influence de l’effet centrifuge sur l’huile dans le palier a été également examinée. / Several projects aimed at reducing the overall environmental impact of aircrafts are launched at European level. One of the engines studied for medium and long-haul aircraft is the Ultra High Bypass Ratio (UHBR) engine: a single-body, dual-flow gas turbine, with a greatly increased external flow rate. The UHBR engine must be equipped with an epicyclic reduction gearbox, which is a component never used before in a turbofan engine. The optimization of an epicyclic gearbox has resulted to the use of hydrodynamic bearings for supporting the satellite gears on the planet carrier.The hydrodynamic bearing of such application undergoes high deformations due to the gear contact loads on the satellite gear and to the centrifugal effect generated by the rotation of the planet carrier. The optimized geometry of the bearing components is influenced by the thermal and mechanical behavior of the bearing components, which requires a thermoelastohydrodynamic (TEHD) modeling taking into account the real film thickness under operation.In order to precisely simulate these phenomena, a conservative modeling in the inactive zone, under a TEHD regime has been developed and validated by comparing the predictions to the test results of the literature and of the test benches of Safran Transmission Systems. The results obtained show a double pressure field in the hydrodynamic bearing of the epicyclic reduction gearbox, due to the strongly deformed film thickness, which greatly affect the dynamic behavior of the bearing. In addition, the influence of the centrifugal force on the oil pressure in the oil film was also examined.
18

Comportement dynamique de train planétaire / épicycloïdal avec erreurs d’assemblage, écarts de forme et structures déformables : Optimisation des corrections de dentures / Dynamic behavior of planetary / epicyclic gears with assembly errors, shape deviations and deformable sub-structures : Optimization of tooth modifications

Chapron, Matthieu 02 May 2016 (has links)
Ces travaux de thèse sont le fruit de la collaboration entre la société Hispano-Suiza et le LaMCoS de l’INSA de Lyon. Dans le cadre du développement de nouveaux systèmes de propulsion, l’implantation d’un train planétaire / épicycloïdal entre la turbine et l’hélice semble être une voie intéressante pour atteindre les performances souhaitées en terme de rendement. L’augmentation des puissances transmises et la réduction des masses embarquées dans les applications aéronautiques tendent à rendre les composants de plus en plus déformables. Lors de ces travaux de recherche, un modèle dynamique de trains planétaires a été développé, incorporant les effets des erreurs de montage, des écarts de forme et des sous-ensembles flexibles. Une approche à paramètres concentrés est utilisée, intégrant notamment des éléments spécifiques d’engrenage et des éléments d’arbre. Pour les éléments d’engrenage, le formalisme des fines tranches juxtaposées est employé pour représenter les dentures. Une raideur élémentaire et un écart normal sont attribués à chacune des tranches et sont réactualisés à chaque pas de temps en fonction de la cinématique des composants et des déviations du profil des dentures. Les déformations de la couronne sont introduites à l’aide d’un anneau discret composé de poutres droites couplé aux éléments d’engrenage. Les dentures double-hélice sont modélisées par deux éléments d’engrenage d’angles d’hélice opposés liés par une poutre de Timoshenko. Finalement, les équations du mouvement sont résolues pas à pas dans le temps par un schéma de Newmark combiné à un algorithme de contact normal, permettant de prendre en compte les pertes de contact partielles ou complètes. Dans un premier temps, un certain nombre d’éléments de validation est présenté et comparé à des résultats tirés de la littérature. Afin d’asseoir notre modélisation, l’influence des erreurs de positionnement des satellites, du décalage des hélices, des erreurs de pas et des déformations de la couronne sur les distributions de charge est abordée pour différentes configurations de train planétaire. Dans un deuxième temps, l’optimisation des corrections de denture dans le but de réduire les vibrations est investiguée. Les corrections de profil sont introduites sur les engrènements de façon (i) linéaire et symétrique en tête de dents et (ii) identique pour tous les satellites mais (iii) différente selon le flanc actif. Dans ce contexte, les corrections sont tout d’abord optimisées vis-à-vis des efforts dynamiques d’engrènement à l’aide d’un algorithme génétique. Puis, leurs performances sont analysées en fonction du couple transmis et de la vitesse de rotation. Par la suite, un critère « équivalent » est dérivé, vérifié et utilisé pour étudier l’influence du décalage des hélices et d’une correction longitudinale parabolique sur ces corrections de profil optimales. Enfin, une sous-structure du porte-couronne est introduite et son impact sur les distributions de charge est exploré. / This research work was conducted at the Contact and Structural Mechanics Laboratory (LaMCoS) of LaMCoS - INSA Lyon (UMR CNRS 5259) in partnership with Hispano-Suiza (SAFRAN group). In the context of new turbo jet engine developments, a promising technological solution consists in inserting a planetary / epicyclic gear train between the turbine and the propeller which, in theory, can improve the system performance, especially in terms of efficiency. Increasing power densities and mass reduction constraints lead to more compliant structures which need to be analyzed from a dynamic viewpoint. The present work deals therefore with the dynamic modelling of planetary / epicyclic gears and the effects of assembly errors, tooth shape deviations and deformable structural components. A lumped parameter approach has been favored which combines rigid-body gear elements, beam and lumped parameters elements. A thin-slice model has been used to simulate the time-varying elastic properties of gear teeth with an elemental stiffness and a normal deviation functions attributed to every discrete cell on the contact lines (thin slice) and updated at each time step with respect to the meshing course and the instant positions of the teeth. Ring-gear deformations are introduced via a model of elastic annulus discretized into straight beam elements and connected to the gear elements. Double-helical gears are simulated by linking two gear elements of opposite hands by Timoshenko beam elements. The possibility of helix stagger is implemented by shifting the helix positions in the base plane. Finally, the equations of motion are solved step by step in time by combining a Newmark scheme and a normal contact algorithm which makes it possible to account for partial and total instant contact losses. A number of comparisons with benchmark results from the literature are presented which prove that the proposed theoretical and numerical developments are sound and can actually be used to simulate the influence of planet position errors, helix stagger, pitch errors and ring-gear deformations. The optimization of tooth shape modifications, i.e. profile and lead modifications, re dynamic mesh forces in planetary gears is tackled. Using a genetic algorithm, optimum profile modifications are derived and compared with some analytical results in the literature. Their performance over a range of loads and speeds is assessed for helical and double helical gears with rigid and flexible ring-gears. A quasi-static “equivalent” criterion based on local transmission errors is presented and commented upon. Having proved its relevance, a number of results are derived concerning the influence of helix stagger and lead crowning superimposed on optimum profile modifications. Finally, a deformable ring-gear support is introduced using a sub-structuring technique and its contribution in terms of tooth load distribution is examined.
19

Vibration-Based Health Monitoring of Multiple-Stage Gear Train and Differential Planetary Transmission Involving Teeth Damage and Backlash Nonlinearity

Sommer, Andrew Patrick 01 September 2011 (has links) (PDF)
The objective of this thesis is to develop vibration-based fault detection strategies for on-line condition monitoring of gear transmission systems. The study divides the thesis into three sections. First of all, the local stresses created by a root fatigue crack on a pinion spur gear are analyzed using a quasi-static finite element model and non-linear contact mechanics simulation. Backlash between gear teeth which is essential to provide better lubrication on tooth surfaces and to eliminate interference is included as a defect and a necessary part of transmission design. The second section is dedicated to fixed axis power trains. Torsional vibration is shown to cause teeth separation and double-sided impacts in unloaded and lightly loaded gearing drives. The transient and steady-state dynamic loading on teeth within a two stage crank-slider mechanism arising from backlash and geometric manufacturing errors is investigated by utilizing a non-linear multi-body dynamics software model. The multi-body model drastically reduces the computation time required by finite element methods to simulate realistic operation. The gears are considered rigid with elastic contact surfaces defined by a penalty based non-linear contact formulation. The third section examines a practical differential planetary transmission which combines two inputs and one output. Planetary gears with only backlash errors are compared to those containing both backlash and tooth defects under different kinematic and loading conditions. Fast Fourier Transform (FFT) analysis shows the appearance of side band modulations and harmonics of the gear mesh frequency. A joint time-frequency analysis (JTFA) during start-up reveals the unique vibration patterns for fixed axis gear train and differential planetary gear, respectively, when the contact forces increase during acceleration.
20

Υπολογιστική ανάλυση εξωτερικής βλητικής. Διερεύνηση αεροδυναμικής συμπεριφοράς αξονοσυμμετρικών βλημάτων σε ελεύθερη ατμοσφαιρική πτήση

Γκριτζάπης, Δημήτρης 01 December 2009 (has links)
Η σύγχρονη επιστήμη της εξωτερικής βλητικής έχει εξελιχθεί ως εξειδικευμένος κλάδος της δυναμικής των στερεών σωμάτων, που κινούνται υπό την επίδραση της βαρύτητας και των αεροδυναμικών δυνάμεων και ροπών. Στην παρούσα διατριβή μελετάται η προσομοίωση του δυναμικού μοντέλου ατμοσφαιρικής τροχιάς των 6 βαθμών ελευθερίας (6-DOF), εφαρμόζεται για ακριβή πρόβλεψη τροχιών από διάφορες γωνίες βολής σε μικρά και σε μεγάλα βεληνεκή και γίνεται σύγκριση με το γραμμικό μοντέλο τροχιάς, για περιστρεφόμενα ή μη περιστρεφόμενα βλήματα και σφαίρες λαμβάνοντας υπόψη τον αριθμό Mach και τις μεταβολές της συνολικής γωνίας εκτροπής σε σχέση με τους μεταβλητούς και σταθερούς αεροδυναμικούς συντελεστές. Επίσης, μελετώνται τα δύο είδη ευστάθειας του βλήματος: η στατική ή γυροσκοπική ευστάθεια που αφορά τη στατική θέση ισορροπίας του βλήματος και η δυναμική ευστάθεια που αφορά την κινητική του κατάσταση. Η λύση της διαφορικής εξίσωσης για ολοκληρωμένη ή απλοποιημένη κίνηση περιστρεφόμενων αξονοσυμμετρικών βλημάτων, μπορεί να μας περιγράψει την ακρογωνιαία φύση της επικυκλικής κίνησης των βλημάτων. Τέλος, αναπτύσσεται νέα σχέση υπολογισμού της επίδρασης του φαινόμενου της αεροδυναμικής αναπήδησης της ταχύτητας για περιστρεφόμενα βλήματα τα οποία πυροδοτούνται οριζόντια από μεταβλητές γωνίες, μέσα από ιπτάμενο όχημα (ελικόπτερο, πολεμικό αεροπλάνο). / On the battlefield, it is well known that the target effects using artillery systems diminish exponentially with the number of rounds fired at a particular target. To maximize target effects, rounds must be designed to hit a target with a minimum number of rounds that impact the target in rapid succession. The modern science of the exterior ballistics has evolved as a specialized branch of the dynamics of rigid bodies, moving under the influence of gravitational and aerodynamic forces and moments. The six degrees of freedom (6-DOF) simulation flight dynamics model is applied for the accurate prediction of short and long-range trajectories of high and low fin spin-stabilized projectiles and small bullets. Variable coefficients of aerodynamic forces, moments and Magnus effects are taken into account depending on Mach number and total angle of attack variations. The above analysis is compared to the modified linear modified simulation model for rapid trajectory predictions and high accuracy impact point computations for constant and variable aerodynamic coefficients is also applied for the accurate prediction of short and long range trajectories. The computational results of the proposed synthesized analysis give satisfactory agreement with other technical data and recognized exterior atmospheric projectile flight investigations. The variable modified atmospheric flight model can be further coupled to a suitable trajectory tracking control system for current and future control actions applied to projectiles for minimizing the estimated error to target impact area. Epicyclic motion and gyroscopic stability analysis are also examined for spinning and non-spinning projectiles. A new engineering correlation is proposed for the flat-fire disturbance due to aerodynamic jump performance firing at different angles which relative to the helicopter’s flight path motion. The computational results of the generalized aerodynamic jump formula are verified compared to McCoy’s recognized simulation modelling.

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