• Title/Summary/Keyword: mathematical pulse model

Search Result 54, Processing Time 0.029 seconds

Ultrasonic Evaluation of Interfacial Stiffness for Nonlinear Contact Surfaces

  • Kim, Noh-Yu;Kim, Hyun-Dong;Cho, Youn-Ho
    • Journal of the Korean Society for Nondestructive Testing
    • /
    • v.28 no.6
    • /
    • pp.504-511
    • /
    • 2008
  • This paper proposes an ultrasonic measurement method for measurement of linear interfacial stiffness of contacting surface between two steel plates subjected to nominal compression pressures. Interfacial stiffness was evaluated by using shear waves reflected at contact interface of two identical solid plates. Three consecutive reflection waves from solid-solid surface are captured by pulse-echo method to evaluate the state of contact interface. A non-dimensional parameter defined as the ratio of their peak-to-peak amplitudes are formulated and used to calculate the quantitative stiffness of interface. Mathematical model for 1-D wave propagation across interfaces is developed to formulate the reflection and transmission waves across the interface and to determine the interfacial stiffness. Two identical plates are fabricated and assembled to form contacting surface and to measure interfacial stiffness at different states of contact pressure by means of bolt fastening. It is found from experiment that the amplitude of interfacial stiffness is dependent on the pressure and successfully determined by employing pulse-echo ultrasonic method without measuring through-transmission waves.

Laser micro-drilling of CNT reinforced polymer nanocomposite: A parametric study using RSM and APSO

  • Lipsamayee Mishra;Trupti Ranjan Mahapatra;Debadutta Mishra;Akshaya Kumar Rout
    • Advances in materials Research
    • /
    • v.13 no.1
    • /
    • pp.1-18
    • /
    • 2024
  • The present experimental investigation focuses on finding optimal parametric data-set of laser micro-drilling operation with minimum taper and Heat-affected zone during laser micro-drilling of Carbon Nanotube/Epoxy-based composite materials. Experiments have been conducted as per Box-Behnken design (BBD) techniques considering cutting speed, lamp current, pulse frequency and air pressure as input process parameters. Then, the relationship between control parameters and output responses is developed using second-order nonlinear regression models. The analysis of variance test has also been performed to check the adequacy of the developed mathematical model. Using the Response Surface Methodology (RSM) and an Accelerated particle swarm optimization (APSO) technique, optimum process parameters are evaluated and compared. Moreover, confirmation tests are conducted with the optimal parameter settings obtained from RSM and APSO and improvement in performance parameter is noticed in each case. The optimal process parameter setting obtained from predictive RSM based APSO techniques are speed=150 (m/s), current=22 (amp), pulse frequency (3 kHz), Air pressure (1 kg/cm2) for Taper and speed=150 (m/s), current=22 (amp), pulse frequency (3 kHz), air pressure (3 kg/cm2) for HAZ. From the confirmatory experimental result, it is observed that the APSO metaheuristic algorithm performs efficiently for optimizing the responses during laser micro-drilling process of nanocomposites both in individual and multi-objective optimization.

Mathematical Modeling of Copper Plating with Pulsed Current (맥동전류에 의한 구리도금의 수학적 모델링)

  • Lee, C. K.;Sohn, H. J.;Kang, T.
    • Journal of the Korean institute of surface engineering
    • /
    • v.24 no.3
    • /
    • pp.125-136
    • /
    • 1991
  • a mathematical model is presented to describe the current distribution on a rotaing disk electrode under the galvanostatic pulse conlitions. A numerical technique by finite difference method to the transient convective diffusion equation, coordinate transformation and separation of variables to Laplace equation, and an iterative algorithm to solve the above equations simtltaneously with approximate boundary conditions were developed. An experimental investigated based on copper deposition in a copper sulfate-sulfuric acid system was performed and satisfactory agreement was obtained between expermental and theoretical current distribution. The current distribution of copper deposition is secondary current distribution within the experimental conditions. Dimensionless variables, N and J as well as Wagner number were used to determine the criteria for the uniformity of current distribution.

  • PDF

A Model for Liquid Circulation Velocity in Airlift Reactors (공기부양반응기 내에서의 액체순환속도를 위한 모델)

  • Keun Ho Choi
    • Korean Chemical Engineering Research
    • /
    • v.61 no.3
    • /
    • pp.446-455
    • /
    • 2023
  • A mathematical model for predicting the liquid circulation velocity in an airlift reactor was developed based on the mechanical energy balance of the fluid circulation loop. The model considered the energy loss due to a 90° turn, the energy loss due to friction, and the energy loss due to the change in cross-sectional area at each part of the reactor. The model that separately considered the loss coefficients related to friction, direction change, and cross-sectional area change was able to predict the liquid circulation velocity better than the previous model using lumped parameters. The liquid circulation velocity was measured by the tracer pulse method. Most of our experimental results obtained in external-loop airlift reactors, which had the top and bottom connecting pipes, as well as other investigators' results obtained in various types of airlift reactors, were well predicted by the developed model with an error within 20%. Useful empirical equations for the loss coefficient related to the 90° turn of the circulating fluid were obtained in external and internal-loop airlift reactors and used to predict the liquid circulation velocity.

Attitude control in spacecraft orbit-raising using a reduced quaternion model

  • Yang, Yaguang
    • Advances in aircraft and spacecraft science
    • /
    • v.1 no.4
    • /
    • pp.427-441
    • /
    • 2014
  • Orbit-raising is an important step to place spacecraft from parking orbits into working orbits. Attitude control system design is crucial in the success of orbit-raising. Several text books have discussed this design and focused mainly on the traditional methods based on single-input single-output (SISO) transfer function models. These models are not good representations for many orbit-raising control systems which have multiple thrusters and each thruster has impact on the attitude defined by all outputs. Only one published article is known to use a more suitable multi-input multi-output (MIMO) Euler angle model in spacecraft orbit-raising attitude control system design. In this paper, a quaternion based MIMO model for the orbit-raising attitude control system design is proposed. The advantages of using quaternion based model for orbit-raising control system designs are (a) there is no need for mathematical transformations because the attitude measurements are normally given by quaternion, (b) quaternion based model does not depend on rotational sequences, which reduces the chance of human errors, and (c) the singular point of reduced quaternion model is the farthest from the operational point where linearization is performed. We will show that performance of quaternion model based design will be as good as the performance of Euler angle model based design for orbit-raising problem.

QRS detection based on maximum a-posteriori estimation (MAP Estimation을 이용한 QRS Detection)

  • 정희교;신건수;이명호
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1987.10b
    • /
    • pp.709-712
    • /
    • 1987
  • In this paper, a mathematical model for the purpose of QRS detection is considered in the case of the occurrence of nonoverlapping pulse-shaped waveforms corrupted with white noise. The number of waveforms, the arrival times, amplitudes, and widths of QRS complexes are regarded as random variables. The joint MAP estimation of all the unknown quantities consists of linear filtering followed by an optimization procedure. Because of time-consuming, the optimization procedure is modified so that a threshold test is obtained. The model formulation with nonoverlapping waveforms leads to a standard procedure covering a segment before as well as after an accepted event. Adaptivity of the detector is gained by utilizing past signal properties in determining threshold for QRS detection.

  • PDF

Hemodynamic Modeling of the Pulsatile Cardiac Pulmonary Perfusion for the Patient's Heart (환자의 박동형 심장의 폐순환 혈류 모델링에 대한 연구)

  • Kim, J.S.;Kim, M.S.;Choi, S.W.
    • Proceedings of the KSME Conference
    • /
    • 2008.11a
    • /
    • pp.1679-1682
    • /
    • 2008
  • Pulsatile Extracorporeal Membrane Oxygenation(ECMO) can mitigate the heart load and raise the patient's blood perfusion. But If the ECMO pulsate the blood flow during the systolic period, It can burden to the patient's heart. To avoid the heart injury, we have to consider the relation between output of ECMO, hemodynamic states and heart movement. To raise the efficacy of the pulsatile ECMO, we investigated the coronary perfusion, cardiac muscle tension and hemodynamic states during the ECMO perfusion by using the mathematical model of human blood circulatory system and ECMO. The outflow data of the pulsatile ECMO(T-PLS, Bioheartkorea, Korea) was obtained in vitro experiments. According to the phase and pumping rate of the ECMO, the heart's load and coronary perfusion could be adjusted to the proper levels. The results of the human- ECMO lumped parameter model showed that the synchronizing operation of the pulsatile ECLS can be helpful at stabilizing the patient's hemodynamic states.

  • PDF

Fabrication of Micro Tool Electrode for Machining Micro Structures using Wire Electrical Discharge Grinding(WEDG) (WEDG 방법을 이용한 마이크로 구조물 가공용 미세공구 제작)

  • Park Sung-Jun;Ahn Hyun-Min;Lee Kyo-Seung
    • Transactions of the Korean Society of Machine Tool Engineers
    • /
    • v.14 no.5
    • /
    • pp.13-20
    • /
    • 2005
  • Micro EDM process is generally used for machining microholes, cavities, and three dimensional shapes. For machining micro structures, first of all, micro tool electrode is indispensable and WEDG system is proposed for tool fabrication method. When using WEDG, its machining characteristics are highly affected by many EDM parameters such as applied voltage, current, rotation speed, capacitance, and pulse duration. Therefore, the design of experiment is introduced to fully understand the effect of the EDM parameters on machining tool electrode. And an attempt has been made to develop the mathematical model for predicting the size of the tool electrode by calculating spark distance. The suggested model was verified with experiment and predicted working gap distance is in good accord with the measured value.

Duty Ratio-Displacement Model in PWM Control of Voice Coil Actuator (보이스 코일 액츄에이터의 PWM 제어에서 듀티비-변위 모델 연구)

  • Hwang, Jin-Dong;Kwak, Yong-Kil;Kim, Ju-Hyun;Kim, Sun-Ho;Ahn, Jung-Hwan
    • Journal of the Korean Society of Manufacturing Process Engineers
    • /
    • v.6 no.2
    • /
    • pp.59-66
    • /
    • 2007
  • Voice coil actuator is used linear motion system that requires precision positioning control. In order to control precision positioning of voice coil actuator, relation model between duty ratio and moving displacement of voice coil actuator is needed. This paper present a duty ratio - displacement model in PWM control of voice coil actuator. Transfer function of voice coil actuator is obtained by combining voice coil motor's equation of motion with the equation of circuit and characteristic of voice coil motor. Consider to initial condition of velocity and current, transfer function is transformed mathematical model. The induced model can predict output displacement, velocity and current according to duty ratio and amplitude. The model is verified by experimental tests such as velocity and displacement response of voice coil motor. Simulated results have tracking errors of less than 10 percent of experimental results.

  • PDF

Model Predictive Control for Shunt Active Power Filter in Synchronous Reference Frame

  • Al-Othman, A.K.;AlSharidah, M.E.;Ahmed, Nabil A.;Alajmi, Bader. N.
    • Journal of Electrical Engineering and Technology
    • /
    • v.11 no.2
    • /
    • pp.405-415
    • /
    • 2016
  • This paper presents a model predictive control for shunt active power filters in synchronous reference frame using space vector pulse-width modulation (SVPWM). The three phase load currents are transformed into synchronous rotating reference frame in order to reduce the order of the control system. The proposed current controller calculates reference current command for harmonic current components in synchronous frame. The fundamental load current components are transformed into dc components revealing only the harmonics. The predictive current controller will add robustness and fast compensation to generate commands to the SVPWM which minimizes switching frequency while maintaining fast harmonic compensation. By using the model predictive control, the optimal switching state to be applied to the next sampling time is selected. The filter current contains only the harmonic components, which are the reference compensating currents. In this method the supply current will be equal to the fundamental component of load current and a part of the current at fundamental frequency for losses of the inverter. Mathematical analysis and the feasibility of the suggested approach are verified through simulation results under steady state and transient conditions for non-linear load. The effectiveness of the proposed controller is confirmed through experimental validation.