Papers by Keyword: Mathematical Modeling

Abstract: Modeling ideas of physical and chemical processes when using an anodic bonding for materials connection are developed. The kinetics of a charge accumulation in an electrode region in a dielectric is considered. The thickness of a charge layer, electric fields strength and value of the ponderomotive pressure providing connection of materials are calculated. It is shown that the necessary ponderomotive pressure resulting in a dielectric-to-conductor seal is normally about ten MPa and the time required is about ten minutes.

Abstract: The following article considers mathematic modeling of hydroimpulsive power systems. Using the MATLab software environment the author studies the influence of design parameters on the formed impulse. Consequently a new headless hydroimpulsive power mechanism is offered and described in detail and a basic diagram is given. This system can be used for designing new hydroimpulsive rock-drilling machines to intensify the process of drilling.

Abstract: Mathematical modeling of the complex process in the human cardiovascular system is powerful tool to evaluate the dynamic system response for the parameters change. Widely used continuous flow pumps (Left Ventricle Assist Device - LVAD) interacting with the circulatory system and work parameters of the assist device are changing dynamically. Different parameters of the system affect the pump operating conditions and on the contrary. Mathematical modeling of interaction between the cardiovascular system and mechanical assist device allows to identify the dangerous effects in the pump and system operation, and to eliminate such situations in the practical using of such pumps.

Abstract: The contribution presents two basic variants of fire compartmentation. A conservative standard design is confronted with an atypical design supported by the mathematical modelling of temperature field. In both the cases, the required level of safety is ensured. The atypical design in this case enables the use of more available and economically profitable products ensuring the fire safety of the structure.

Abstract: In this paper, doing the theoretical error research of CNC lens cutting machine by the method of mathematical modeling in the theory of multi-body system, It reveals the cause of low of the law of the theoretical error of five-axis CNC machine tools for each degree of freedom, proves designers with the theoretical ideas, certain guiding significance for the development of CNC machine.CNC glass cutting function to adapt to the dynamic changes of the resin lens surface shape, in a very short production cycle can produce a low cost, high quality and different outline of individualized product, is the direction of the lens processing system, CNC glass cutting machine, the three-dimensional model is shown in figure 1: two rotary motion to the X axis swing around and around the Z axis rotation, decorated with Y to linear motion on the worktable, spindle to produce X and Z to translation. According to the literature, as a result of multi-body system theory of complex mechanical system has strong generalization ability and the unique way of system description, can fully consider the various factors influencing the system and the coupling relationship between each other, and therefore is widely used in error modeling of complex mechanical system movement

Abstract: The frequence and complex of space exploration activeities makes the life of the spacecraft and on-orbit service technologies becoming research hotspot in recent years. But the limitation of non-renewable fuels makes exploration mission costly and maintenance difficult, so the free floating space robot has its unique advantages. Because the research level and control technology is not maturity, study on the free floating space robot control method is the key theory and technology which is the difficulty that our country now needs to overcome, also, the research is of great theoretical and practical significance. This paper introduct an experiment scara mechanical arm based on the free floating space robot project. Main research contents of this paper include the mechanical structure design, and combining with the characteristic of the free floating mechanical arm , it makes kinematics and dynamics modals of the mechanical arm system, additional, it conduct statics test and dynamic modal analysis, which is to make sure that the mechanical arm could satisfy needs and to study its dynamic characteristics.This topic focus on structure design and mathematical modeling of the mechanical arm, it makes the research of control method and trajectory planning no longer stay on the paper, and makes the research more authenticity and accuracy.

Abstract: Based on the theory of spherical stability and piezoelectric motor drive with the combination of two dimensional stabilization platform. For two-dimensional motion spherical stabilized platform overall structure, having pitch and azimuth two ways. Using the theory of mechanics and geometry to mathematical modeling, prove multiple piezoelectric motor synergy drive, to achieve two-dimensional stabilized platform smooth movement. The design method and mathematical model analysis methods put forward by two-dimensional stabilized platform have important reference value to similar equipment research and development, important innovative progress has been made in structure, layout, and control methods.

Abstract: The mechanical behaviour of a superplastic material is often modelled by the power law relationship between the equivalent flow stress, the equivalent strain and the equivalent strain-rate at least over a limited range of strain rates. This paper introduces an original mathematical modelling to determine the superplastic material constants m, n and K by means of experimental tests carried out using a standard forming die geometry.

Abstract: This paper shows a numerical-experimental comparison to validate a mathematical model which is able to determine the superplastic material constants by means of experimental tests carried out using a standard forming die geometry. In particular, the constants m, n and K for the lead-tin alloy PbSn60, for the alloy AZ31 at different forming temperatures and for the alloy AA5083 are evaluated.

Abstract: A kind of compound servo drive system is designed using the characteristics of hydraulic motor large torque and servo motor high accuracy positioning. Proportional pressure valve, proportional flow valve and electromagnetic directional valve was used to control hydraulic motor for tracking servo motor drive control and to achieve servo motor control for weight load of large torque and high accuracy positioning. Pressure, speed control strategy of using PID control is proposed based on the above hydraulic tracking drive system, achieve precise control for trajectory of robot articulated arm under heavy load conditions. And according to the requirements of the pressure, flow rate and reversing in the process of compound servo drive, a torque, speed and direction of the switching control strategy is put forward. Mathematical model is established and simulated based on tracking control system. The experiments indicate: under heavy load conditions, response speed, torque and angle control accuracy of hydraulic hybrid drive system meet the requirements with this control method and torque, speed switching control strategy.