Vol 6, No 1 (2007)
AIRCRAFT AND SPACE ROCKET ENGINEERING
Approximate methods of calculating optimal flights of space vehicles with low-thrust engines. Part I
Abstract
The first part of the paper presents mathematical formulations of the tasks of optimizing flights of space vehicles with low-thrust engines and methods of their solution. The peculiarities of mathematical motionmodels used for control optimization within the frames of different tasks are discussed.
Modelling the interaction of micrometeoroid and technogenous particles with a space vehicle
Abstract
The number of particle collisions with a space vehicle (SV) is calculated on the basis of meteoric and technogenous environment. The space vehicle serves as a particle detector and is made in the form of a spherical inflatable filmy construction. The forecast of the number of collisions for the period of 2004-2012 is estimated. Dependences of the number of particles colliding with the SV are obtained as functions of its dimensions’ parameters and orbit parameters.
A system of compensating rotary microacceleration by a magnetic method
Abstract
The paper deals with a system that uses a magnetic method of compensating microaccelerations and does not require changing the design of a space vehicle (SV). The results of modelling the motion relative to the centre of mass for different types of SV are given.
Non-parametric models of measuring space vehicle thermoregulation system unit efficiency indicators
Abstract
The paper investigates the interrelations between the efficiency indices of low-consumption fans and electric pump units of space vehicles, their dependence on design parameters of the elements and technological conditions of use. The peculiarities of the systems under investigation presuppose using non-parametric methods of information processing. The results of computational elements with a view to defining efficient modes of the use of units.
Decreasing the area of fall of «Soyuz» - type carrier rocket’s used blocks with their structure deliberately divided into parts
Abstract
Deliberate division of used blocks’ structure in the process of their free falling is proposed in order to decrease the area of fall of the carrier rocket’s used blocks. Ballistic calculation of the process of placing payloads in the target orbit and the calculation of the used block’s fall with regard to the structure being divided into parts are presented. Dependence of the payload mass on the area of fall of the carrier rocket’s used blocks is established. The effect of deliberate division of the used blocks’ structure into parts is estimated in general.
Investigating the dynamics of space vehicles with an attitude control system on the basis of two-component liquid propellant low-thrust rocket engines
Abstract
The paper presents the results of investigating the dynamics of a space vehicle moving relative to the centre of mass with a non-linear attitude control system using two-component liquid-propellant low-thrust rocket engines as actuators. A mode of maintaining prescribed attitude control in the limit cycle is discussed.
Presentation of airborne equipment on the basis of standard modules
Abstract
The paper presents the construction of mathematical models on the basis of a set of standard modules of initial sentences. On the basis of the rules introduced sentences or functions are constructed which represent different sides of airborne equipment complexes.
Optimization of flights between non-coplanar circular orbits with a two-stage booster with chemical and electrojet engines
Abstract
The paper deals with a flight between the non-coplanar circular near-earth orbits – the initial low orbit and the target high one. Boosters delivering payload to the target orbit are: one-stage and two-stage with a chemical rocket engine, one-stage with an electrorocket engine or combined two-stage with a chemical and an electrrocket.
The optimal law of changing the angle of thrust vector deviation from the orbit plane is obtained on the basis of averaging procedures and maximal principle for a particular case of the orbits’ relative position and location of the active site on the loop. The use of this law and analytical expressions makes it possible to reduce the complicated
optimization task of payload maximum to a simpler task of searching five-variable function conditional extremum.
Comparative analysis of various kinds of boosters according to the time of flight and the mass of payload is given. The advantages of a combined booster are defined.
Extremal regulation of automatic space vehicle solar battery power
Abstract
The paper presents structural functional schemes of electric supplies for automatic space vehicles with digital and analogue-digital extremal regulators of solar battery power. A procedure for defining parameters of step automatic optimization systems is proposed.
TECHNICAL SCIENCES
Mathematical modelling of sprayed particle motion dynamics in plasma gas thermal flow
Abstract
The task of mathematical modelling of sprayed particle motion dynamics in plasma gas thermal flow is solved. The analysis shows that sprayed particle motion dynamics is greatly influenced by a kind of phenomenological law for drag coefficient, taking into account plasma jet momentum losses when particles are accelerated, as well as their diameter. It has been established that in case of great variance of sprayed particles’ diameter they strike the surface of the part at different velocities and with considerable particle separation in the spraying spot. The investigations carried out made it possible to formulate requirements for permissible particle diameter dispersion on the basis of mathematical modelling results and to reduce particle separation in the spraying spot by choosing the proper way of supplying powder to the anode channel.
Modelling characteristics of pressure oscillation dampers with regard for distribution of their parameters
Abstract
The paper discusses the use of analytical and numerical models to calculate a complex of working fluid pressure oscillation damper inherent characteristics. Convergence of calculation results using both models in the low-frequency region is shown. In the high-frequency region lack of adequate account of the damper expansion cavity parameters’ distribution in analytical models results in overestimating the damper’s design efficiency, which may fail to provide the system’s prescribed serviceability after a damper of this kind is introduced into it. Advantages and disadvantages of each model are stated, frequency areas for their application are defined.
Asymmetric acoustic dampers with active wave resistance
Abstract
Experimental analysis of the initial spark ignition site for the turbulent flow of aluminium-air mixture
Abstract
The paper presents an experimental analysis of the initial ignition site in the recirculation area with a turbulent flow of aluminium-air mixture ignited by an electric spark. It has been found out that the nature of initial ignition site development in a turbulent flow of aluminium-air mixture corresponds to the nature of initial site development for a homogeneous combustible mixture.
Measuring ultrasound absorption factor for liquids in case of non-linear propagation of ultrasonic waves
Abstract
The paper presents the results of calculating free non-linear oscillation amplitude decrease in an ultrasound resonator filled with liquid dissipative medium. On the basis of the calculation results the dependence of ultrasound absorption factor on the oscillation decrease time has been analysed. On the strength of this, a procedure is proposed that allows experimentors to avoid major mistakes when measuring the ultrasound absorption factor under non-linear wave propagation.
Automatic counter of hydraulic equipment liquid contamination particles with digital signal processing
Abstract
The paper describes the principle of operation of an automatic particle counter with digital signal processes using the channel of particle detection.An analytical expression for choosing discretization frequency and the quantization step of an analogue-to-digital converter (ADC) are defined based on the predetermined error of pulse amplitude determination, the pulse being approximated by a part of a sinusoid.
Numerical-and-aralytical methods of deformation calculation and evaluation of structural member strength in mechanical engineering
Abstract
The paper deals with various approaches to calculating deformation fields in plastic deformation localization areas (deformation concentrators), including those based on rigid plastic analysis. Algorithms of incorporating rigid plastic super elements into familiar program packages likeMSC,ANSYS are proposed. Limiting values of deformation tensor field are calculated. An approach to evaluating structural member strength is proposed.
Analysis of gear pump fluid supply irregularity
Abstract
The paper presents an analysis of irregularity of fluid supply by a gear pump using CAD procedures. Refined dependence of instant theoretical capacity of a gear pump on the gear turn angle is proposed. Results of calculating fluid supply irregularity using the proposed method and the recognized ones are given.
Increasing the reliability of aircraft hydraulic systems through aralysing working fluid contamination particle parameters
Abstract
Systems controlling the serviceability of aircraft hydraulic system units are analysed, and the necessity of their modification is shown. Working fluid contamination particle parameters are chosen as the main diagnostic indicator of the technical state of hydraulic units. Variants of airborne and ground systems controlling aircraft fluid systems are discussed which make it possible to determine the residual resource of hydraulic units.
Inereasing limit coefficient of thin material drawing in a die with an elastic element (holder)
Abstract
The paper analyses the process of axially symmetric drawing of thin material in a die with an elastic holder bearing against the whole flange surface. The proposed drawing method makes it possible to increase the limit coefficient of material drawing.
Defining the positions of carbon dioxide gas jet side boundaries with the gas injected into the transverse air flow
Abstract
Mathematical model of an optoelectronic position-to-digital converter with autocorrection of conversion error caused by coding scale beats
Abstract
The paper presents a mathematical model of code mating of an optoelectronic position-to-digital converter. The model takes into account the effect of external destabilizing factors. The main defects of the optomechanical unit are listed and the influence of such factors on the converter response function is shown. An example of visualizing the information about the influence of vibropercussions on response function error for various amplitudes of vibration oscillations is given. The error is calculated and estimated for the case of autocorrection show the adequacy of the model and the efficiency of using autocorrection.
Designing a technology of final electrochemical machining of gas turbine blades with regard for technological heredity
Abstract
The paper deals with the issues of designing a technology for final electrochemical machining (ECM) of gas turbine engine (GTE) blades with regard for technological heredity factors. Classification of technological heredity factors and their influence on the ECMaccuracy and surface quality after machining are presented. Principles of modifying the ECMrealization pattern are described, the content of the main tasks solved when designing a final ECMtechnology and algorithms of their solving are given.
Procedure for defining conditional limit of metal and alloy stress relief
Abstract
A procedure is proposed for defining stress relief conditional limit using Oding circular specimens. Stress relief conditional limit at room temperature for a prospective alloy 01570 has been defined.
PHYSICS AND MATHEMATICS
Designing variable-thickness revolution shells for the case of axially symmetric loading using the quadrature method
Abstract
The paper deals with the application of the numerical quadrature method to integrating differential equations of variable-thickness revolution shells for the case of axially symmetric loading. The original system of differential equations is transformed into an integral one. The trapezoid quadrature formula is applied to all the integrals with variable upper limits. This makes it possible to set up a system of linear algebraic equations in order to determine the values of all the functions desired with the prescribed step t.As a result we manage to obtain numerical values of special solutions of the system of differential equations and its general solution containing arbitrary constants.
CYBERNETICS AND INFORMATION SCIENCE
Computer-aided specification, verification and synshesis of control programmes on the basis of logical and algebraic approaches
Abstract
The paper deals with a complex of problems associated with real-time control program specification, verification and synthesis, carried out aboard a space vehicle. Approaches to solving these tasks on the basis of temporal logic and extended algebra of control processes are analysed. The structure of an instrumental programme complex of control programmes for space vehicles based on the approach proposed is described.
Optimization of a stochastic tracking system using numerical and evolution methods
Abstract
The paper analyses the use of evolution and numerical methods for the optimization of complex interrelated screening and control systems under a priori uncertainty using a stochastic tracking system (a tracker, for short) as an example. To compare various approaches a series of experiments have been carried out on specially developed software. When modeling a tracker faults are discovered on the basis of the method of weighted squares of error of closure, adaptation is performed on the basis of the method of auxiliary quality functional. The method of simple stochastic approximation, the method of least squares and the genetic algorithm are used as identification algorithms to as to compare their possibilities. In the comparative aspect the use of evolution and numerical methods for the optimization of complex interrelated screening and control systems is analysed using a stochastic tracking system as an example.