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Journal articles on the topic 'Steady-state differential characteristics'

Author: Grafiati
Published: 28 June 2021
Last updated: 17 February 2022

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1

Washio, Seiichi, Satoshi Takahashi, Yonguang Yu, and Satoshi Yamaguchi. "Study of Unsteady Orifice Flow Characteristics in Hydraulic Oil Lines." Journal of Fluids Engineering 118, no. 4 (1996): 743–48. http://dx.doi.org/10.1115/1.2835504.

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A technique to measure fluctuating differential pressures with high fidelity has been developed first. When applied to detecting differential pressures generated by an accelerated or decelerated liquid column, the technique turned out to be effective in finding unsteady flow rates. An experimental study has been carried out on periodically changing hydraulic oil flows through an orifice. The results support the validity of the traditional standpoint that characteristics of an unsteady orifice flow can be approximately represented by those of a steady-state one. When inspected in detail, howeve
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2

DUBKOV, ALEXANDER. "STEADY-STATE DISTRIBUTIONS FOR HARMONIC OSCILLATOR WITH VERY FAST FREQUENCY FLUCTUATIONS." Fluctuation and Noise Letters 11, no. 03 (2012): 1242009. http://dx.doi.org/10.1142/s0219477512420096.

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The moment and probability steady-state characteristics of harmonic oscillator with frequency fluctuations in the form of white noise are investigated. Based on well-known functional approach, we derive integro-differential Kolmogorov equation for the joint probability density function of oscillator coordinate and velocity. For white Gaussian noise, using a set of equations for joint moments, we reconstruct the approximate form of coordinate and velocity distributions in the limit of small friction. As shown, these probability density functions do not exist for zero friction because they canno
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3

Korotyeyev, Igor. "Frequency response analysis of periodically time varying circuits." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 37, no. 3 (2018): 1204–13. http://dx.doi.org/10.1108/compel-07-2017-0275.

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Purpose The purpose of this paper is to introduce a method for the analysis of steady-state processes in periodically time varying circuits. The method is based on a new definition of frequency responses for periodic time-varying circuits. Design/methodology/approach Processes in inverter circuits are often described by differential equations with periodically variable coefficients and forcing functions. To obtain a steady-state periodic solution, the expansion of differential equations into a domain of two independent variables of time is made. To obtain differential equations with constant c
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4

WHITTLE, M., R. FIROOZIAN, D. J. PEEL, and W. A. BULLOUGH. "A MODEL FOR THE ELECTRICAL CHARACTERISTICS OF AN ER VALVE." International Journal of Modern Physics B 06, no. 15n16 (1992): 2683–704. http://dx.doi.org/10.1142/s0217979292001377.

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We present a simple model which can account for the electrical response characteristics of an Electrorheological (ER) parallel plate valve restrictor. We find that a self-consistent electrical model which can describe the current response to transient and biased sine wave voltage exitations must incorporate the non-linear dependence of current on voltage found at steady state. In addition, the steady state current characteristics are a function of the fluid flow rate. This can be described analytically and included in the model. Analytical solutions show that non-linearity affects the detailed
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5

Rizvi, S. M. H., and B. Mazhari. "Investigation of Traps in Thin-Film Organic Semiconductors Using Differential Analysis of Steady-State Current–Voltage Characteristics." IEEE Transactions on Electron Devices 65, no. 8 (2018): 3430–37. http://dx.doi.org/10.1109/ted.2018.2849346.

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6

Bert, C. W., and M. Malik. "Transient Analysis of Gas-Lubricated Journal Bearing Systems by Differential Quadrature." Journal of Tribology 119, no. 1 (1997): 91–99. http://dx.doi.org/10.1115/1.2832489.

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This paper is an extension of an earlier work in which the present authors demonstrated the application of the differential quadrature method (DQM) to the steady-state analysis of incompressible and compressible lubrication problems. In the present work, the DQM is applied to the transient-state analysis of compressible lubrication problems. For this purpose, the analysis of gas-lubricated plain journal bearings under the conditions of nonuniform journal rotation is considered. The computed results from the solutions of the reference problem included in the paper provide a comparison of the co
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7

Huang, Dongmei, Shengxi Zhou, and Zhichun Yang. "Resonance Mechanism of Nonlinear Vibrational Multistable Energy Harvesters under Narrow-Band Stochastic Parametric Excitations." Complexity 2019 (December 14, 2019): 1–20. http://dx.doi.org/10.1155/2019/1050143.

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To improve energy harvesting performance, this paper investigates the resonance mechanism of nonlinear vibrational multistable energy harvesters under narrow-band stochastic parametric excitations. Based on the method of multiple scales, the largest Lyapunov exponent which determines the stability of the trivial steady-state solutions is derived. The first kind modified Bessel function is utilized to derive the solutions of the responses of multistable energy harvesters. Then, the first-order and second-order nontrivial steady-state moments of multistable energy harvesters are considered. To e
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8

Abou El-Ela, F. M., and A. Z. Mohamed. "Electron Transport Characteristics of Wurtzite GaN." ISRN Condensed Matter Physics 2013 (September 9, 2013): 1–6. http://dx.doi.org/10.1155/2013/654752.

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A three-valley Monte Carlo simulation approach was used to investigate electron transport in wurtzite GaN such as the drift velocity, the drift mobility, the average electron energy, energy relaxation time, and momentum relaxation time at high electric fields. The simulation accounted for polar optical phonon, acoustic phonon, piezoelectric, intervalley scattering, and Ridley charged impurity scattering model. For the steady-state transport, the drift velocity against electric field showed a negative differential resistance of a peak value of 2.9×105 m/s at a critical electric field strength 1
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9

Chen, Yu Mei, Fei Tan, and Tao Fan. "Design of Multi-Mode PID Controller and Application in Time-Delay Process." Applied Mechanics and Materials 511-512 (February 2014): 637–42. http://dx.doi.org/10.4028/www.scientific.net/amm.511-512.637.

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Through brief analysis of characteristics of conventional control, a new type of multi-mode intelligent control algorithm based on error information is put forward. The algorithm consists of proportional acceleration control for rapidity of transient response, differential deceleration control for stationarity of transient response and steady state excitation control for accuracy of steady response. The control algorithm is applied to time-delay process, compared with other algorithms. Simulation results show its good performance with MATLAB language. The algorithm has simple structure, good g
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10

Zhu, Xue Gui, Zhi Hong Fu, and Xing Zhe Hou. "Modification of Neuron PID Control in Case of Improper Learning Factors." Advanced Materials Research 433-440 (January 2012): 6795–801. http://dx.doi.org/10.4028/www.scientific.net/amr.433-440.6795.

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Some modifications of conventional neuron proportional-integral-differential controller (NPID) are presented in this paper to prevent its slow dynamic response and loss of control in case of improper learning factors. The quasi-step signal replaces the step signal as the reference signal to improve the dynamic characteristics. The control output of NPID is modified every step by multiplying a penalty factor called senior teacher signal to suppress further the overshoot and compress the settling time. The steady-state error from the modified NPID (MNPID) is reduced or removed by adjusting dynam
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11

Zhao, Pengcheng, Jingang Wang, Qian Wang, et al. "Simulation, Design, and Test of a Dual-Differential D-Dot Overvoltage Sensor Based on the Field-Circuit Coupling Method." Sensors 19, no. 15 (2019): 3413. http://dx.doi.org/10.3390/s19153413.

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Accurate measurement of overvoltage in power grids is of great significance to study the characteristics of overvoltage and design of insulation coordination. Based on the research of D-dot voltage sensor, we designed a Dual-Differential D-dot overvoltage sensor. In order to quantify the structural parameters of the sensor, improve the performance and measurement accuracy of the sensor. The Field-Circuit Coupling method was proposed to be used in the parameter design of D-dot overvoltage sensor. The joint simulation of space electromagnetic field model and equivalent circuit model of the Dual-
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12

Shvets, Aleksandr, and Alexander Makaseyev. "Deterministic chaos in pendulum systems with delay." Applied Mathematics and Nonlinear Sciences 4, no. 1 (2019): 1–8. http://dx.doi.org/10.2478/amns.2019.1.00001.

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AbstractDynamic system "pendulum - source of limited excitation" with taking into account the various factors of delay is considered. Mathematical model of the system is a system of ordinary differential equations with delay. Three approaches are suggested that allow to reduce the mathematical model of the system to systems of differential equations, into which various factors of delay enter as some parameters. Genesis of deterministic chaos is studied in detail. Maps of dynamic regimes, phase-portraits of attractors of systems, phase-parametric characteristics and Lyapunov characteristic expo
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13

Shiau, Ting-Nung, and An-Nan Jean. "Prediction of Periodic Response of Flexible Mechanical Systems With Nonlinear Characteristics." Journal of Vibration and Acoustics 112, no. 4 (1990): 501–7. http://dx.doi.org/10.1115/1.2930135.

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A numerical-analytical method for the prediction of steady state periodic response of large order nonlinear rotordynamic systems is addressed. Using this method, the set of nonlinear differential equations governing the motion of the rotor systems is transformed to a set of nonlinear algebraic equations. A condensation technique is proposed to reduce the nonlinear algebraic equations to those only related to the physical coordinates associated with nonlinear components. The method allows for the inclusion of searching for sub, super, ultra-sub and ultra-super harmonic components of the system
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14

Ibrahim, Yusuf, Bashir Yusuf, Mansur Babagana, Baffa Sani, and Muhammad Auwal Lawan. "Some reliability characteristics of a linear consecutive 2-out-of-4 system connected to 2-out-of-4 supporting device for operation." International Journal of Engineering & Technology 7, no. 1 (2018): 135. http://dx.doi.org/10.14419/ijet.v7i1.8037.

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This paper presents the Markov model for the reliability analysis of a linear consecutive 2-out-of-4 repairable system operating with the help of a linear consecutive 2-out-of-4 external supporting device. The system is analyzed using first order linear differential equation to develop the explicit expression for steady-state availability, busy period and profit function. Based on assumed numerical values given to system parameters, graphical illustrations are given to highlight important results. In addition, the effect of failure and repair on availability and profit are researched.
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15

Jensen, Rune, Jesper Larsen, Kasper Lassen, Matthias Mandø, and Anders Andreasen. "Implementation and Validation of a Free Open Source 1D Water Hammer Code." Fluids 3, no. 3 (2018): 64. http://dx.doi.org/10.3390/fluids3030064.

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This paper presents a free code for calculating 1D hydraulic transients in liquid-filled piping. The transient of focus is the Water Hammer phenomenon which may arise due to e.g., sudden valve closure, pump start/stop etc. The method of solution of the system of partial differential equations given by the continuity and momentum balance is the Method of Characteristics (MOC). Various friction models ranging from steady-state and quasi steady-state to unsteady friction models including Convolution Based models (CB) as well as an Instantaneous Acceleration Based (IAB) model are implemented. Furt
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16

San Andres, Luis, Zhou Yang, and Dara W. Childs. "Thermal Effects in Cryogenic Liquid Annular Seals—Part II: Numerical Solution and Results." Journal of Tribology 115, no. 2 (1993): 277–84. http://dx.doi.org/10.1115/1.2921002.

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A numerical thermohydrodynamic model for solution of the nonlinear differential equations describing the turbulent flow of a single-phase, cryogenic liquid annular seal is presented. A perturbation method is used for calculation of the zeroth and first-order flow solutions to determine the seal steady-state response and dynamic force coefficients. Numerical predictions for a high speed liquid oxygen seal with a roughened stator surface show that, relative to an isothermal-barotropic fluidmodel, the adiabatic THD solution presents a significant temperature-rise with a profound effect on the liq
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17

Bhandari, Anupam. "Numerical solution through mathematical modelling of unsteady MHD flow past a semi-infinite vertical moving plate with chemical reaction and radiation." Studia Geotechnica et Mechanica 40, no. 4 (2018): 270–81. http://dx.doi.org/10.2478/sgem-2018-0041.

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Abstract In the present manuscript, unsteady magnetohydrodynamic (MHD) flow over a moving porous semi-infinite vertical plate with time-dependent suction has been studied in the presence of chemical reaction and radiation parameters. Time-dependent partial differential equations in the dimensionless form are solved numerically through mathematical modelling in COMSOL Multiphysics. The results are obtained for velocity, temperature and concentration profiles at different times. Steady state results are also presented for different values of physical parameters. The parameters involved in the pr
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18

Rabby, Md Insiat Islam, Siti Ujila Masuri, Ahmad Syakir Fariz Samsul Kamal, Zulkiflle Leman, Abdul Aziz Hairuddin, and Nuraini Abdul Aziz. "Flow Characteristics of Disk Bypass Pipeline Inspection Gauge (PIG) in Natural Gas Pipelines using Computational Fluid Dynamics." CFD Letters 13, no. 4 (2021): 11–37. http://dx.doi.org/10.37934/cfdl.13.4.1137.

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Disk bypass pipeline inspection gauge (PIG) is considered as an efficient device for pigging operations including cleaning, maintaining and inspecting pipelines. The PIG performance is influenced by the fluid flow characteristics as PIG moves forward due to differential pressure of fluid around the PIG. This study focuses on flow characterization of fluid around disk bypass PIG for natural gases pipelines including methane, ethane, and butane using computational fluid dynamics approach. The control volume method with steady state Turbulent k-? model was applied for simulation purposes using AN
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19

Bożek, Bogusław, H. Leszczyński, Katarzyna Tkacz-Śmiech, and Marek Danielewski. "Electrochemistry of Symmetrical Ion Channel: Three-Dimensional Nernst-Planck-Poisson Model." Defect and Diffusion Forum 363 (May 2015): 68–78. http://dx.doi.org/10.4028/www.scientific.net/ddf.363.68.

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The paper provides a physical description of ionic transport through the rigid symmetrical channel. A three-dimensional mathematical model, in which the ionic transport is treated as the electrodiffusion of ions, is presented. The model bases on the solution of the 3D Nernst-Planck-Poisson system for cylindrical geometry. The total flux includes drift (convection) and diffusion terms. It allows simulating the transport characteristics at the steady-state and time evolution of the system. The numerical solutions of the coupled differential diffusion equation system are obtained by finite elemen
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20

MOXNES, JOHN F., and KJELL HAUSKEN. "A MATHEMATICAL MODEL FOR TRAINING IMPULSE AND LACTATE INFLUX AND OUTFLUX DURING EXERCISE." International Journal of Modern Physics C 20, no. 01 (2009): 147–77. http://dx.doi.org/10.1142/s0129183109013522.

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This paper provides a mathematical description based on the theory of differential equations, for the dynamics of lactate production and removal. Analytical and numerical results for training/exercise of endurance of athletes are presented based on the common concept of training impulse (Trimp). The relationships between activity, production rate, and removal strategies of lactate are studied. Parameters are estimated from published data. A model for optimum removal of lactate after exercise is developed. The model provides realistic predictions when compared with experimental results. We show
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21

Lin, Tianliang, Qiang Chen, Haoling Ren, Ruoxi Lv, Chen Miao, and Qihuai Chen. "Computational fluid dynamics and experimental analysis of the influence of the energy recovery unit on the proportional relief valve." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 4 (2017): 697–705. http://dx.doi.org/10.1177/0954406216687790.

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The overflow energy loss in relief valve, which is one of the main reasons leading to the low efficiency of the hydraulic system, had been considered to be impossible to solve. The principle of the overflow energy loss of the relief valve is analyzed and a novel method to reduce the overflow loss using an energy recovery unit, which can improve the return line pressure of the pilot proportional relief valve, is proposed. The influence of the energy recovery unit on the pressure control characteristics and steady-state flow force of the pilot proportional relief valve are discussed. The effects
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22

Ishak, A., R. Nazar, and I. Pop. "Heat transfer over an unsteady stretching surface with prescribed heat flux." Canadian Journal of Physics 86, no. 6 (2008): 853–55. http://dx.doi.org/10.1139/p08-005.

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The unsteady laminar boundary-layer flow over a continuously stretching surface in a viscous and incompressible quiescent fluid is studied. The unsteadiness in the flow and temperature fields is caused by the time dependence of the stretching velocity and the surface heat flux. The nonlinear partial differential equations of continuity, momentum, and energy, with three independent variables, are reduced to nonlinear ordinary differential equations, before they are solved numerically by the Keller-box method. Comparison with available data from the open literature as well as the exact solution
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23

Freundlich, Jan. "Vibrations of a Simply Supported Beam with a Fractional Viscoelastic Material Model – Supports Movement Excitation." Shock and Vibration 20, no. 6 (2013): 1103–12. http://dx.doi.org/10.1155/2013/126735.

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The paper presents vibration analysis of a simply supported beam with a fractional order viscoelastic material model. The Bernoulli-Euler beam model is considered. The beam is excited by the supports movement. The Riemann – Liouville fractional derivative of order 0 α ⩽ 1 is applied. In the first stage, the steady-state vibrations of the beam are analyzed and therefore the Riemann – Liouville fractional derivative with lower terminal at −∞ is assumed. This assumption simplifies solution of the fractional differential equations and enables us to directly obtain amplitude-frequency chara
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24

CASCANTE, MARTA, RAUL CURTO, and ALBERT SORRIBAS. "TESTING THE ROBUSTNESS OF THE STEADY-STATE CHARACTERISTICS OF A METABOLIC PATHWAY: PARAMETER SENSITIVITIES AS A BASIC FEATURE FOR MODEL VALIDATION." Journal of Biological Systems 03, no. 01 (1995): 105–13. http://dx.doi.org/10.1142/s0218339095000101.

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Mathematical models are useful for analyzing metabolic problems. To build up these models, we need: (1) A scheme of the target system, (2) Measurements of concentrations and fluxes in steady-state, (3) The rate law of each reaction and (4) The set of differential equations that reflects the model behaviour. Usually, the rate-laws are identified from in vitro data, which could result in unrealistic models when compared with the behavior of the intact system. Hence, mathematical models must be carefully validated before one can trust their behavior. We can use different features of a biological
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25

Li, Xiao-Huan, Fang Liu, Jia Xu, and Zhi-Wen Zhu. "Nonlinear dynamic characteristics and control of Galfenol-Shape Memory Alloy composite plate subjected to stochastic excitation." International Journal of Applied Electromagnetics and Mechanics 64, no. 1-4 (2020): 1547–54. http://dx.doi.org/10.3233/jae-209476.

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In this paper, the nonlinear dynamic characteristics and control of a Galfenol-shape memory alloy (SMA) composite plate under stochastic excitation are studied. New nonlinear differential terms are applied in the constitutive modeling of Galfenol alloy and SMA, and the nonlinear dynamic model of the composite system is developed. The drift coefficient and the diffusion coefficient are calculated to obtain the steady-state probability density function of the system, and finally the optimal control strategy is proposed to improve the effects of vibration reduction. Numerical simulation and exper
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26

Alqahtani, Rubayyi T., Abdullahi Yusuf, and Ravi P. Agarwal. "Mathematical Analysis of Oxygen Uptake Rate in Continuous Process under Caputo Derivative." Mathematics 9, no. 6 (2021): 675. http://dx.doi.org/10.3390/math9060675.

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In this paper, the wastewater treatment model is investigated by means of one of the most robust fractional derivatives, namely, the Caputo fractional derivative. The growth rate is assumed to obey the Contois model, which is often used to model the growth of biomass in wastewaters. The characteristics of the model under consideration are derived and evaluated, such as equilibrium, stability analysis, and steady-state solutions. Further, important characteristics of the fractional wastewater model allow us to understand the dynamics of the model in detail. To this end, we discuss several impor
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27

Pyatetska, O. V. "Bending vibrations of viscoelastic plates within the Kirchhoff-Love model." Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, no. 4 (2019): 64–67. http://dx.doi.org/10.17721/1812-5409.2019/4.8.

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Within the framework of the hypotheses of the classical Kirchhoff-Love theory, complete systems of resolving equations are constructed to determine the stress-strain state and the temperature of dissipative heating under steady transverse vibrations of plates made of a linear viscoelastic material, the properties of which depend on the frequency of external excitation and temperature. The equations were obtained without any preliminary suggestions about the law of temperature variation over the plate thickness. This law is determined in the process of solving the problem. The unrelated problem
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28

Sundukov, A. E. "Investigation of the characteristics of the component of vibration of gas turbine engine gearbox that causes fatigue failures of its structural elements in case of tooth flank wear." VESTNIK of Samara University. Aerospace and Mechanical Engineering 19, no. 4 (2020): 70–79. http://dx.doi.org/10.18287/2541-7533-2020-19-4-70-79.

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The paper presents an analysis of the component of vibration of the NK-12MP turboprop engine differential gearbox that is generated by the wear of the flanks of the teeth of the sun gear planet gear assembly pair and at certain values of its intensity may cause fatigue breakdown of the engines structural elements. A complex of diagnostic indicators is determined on the basis of this component. Its intensity is shown to be maximal in steady-state operation of the engine with the greatest run time. The data obtained by the spectrum of maxima are shown to have higher information content as compar
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29

Rashidi Meybodi, R., M. Zare Mehrjardi, and A. D. Rahmatabadi. "Tilt angle effects on the performance of micropolar lubricated noncircular journal bearings." Industrial Lubrication and Tribology 69, no. 4 (2017): 536–49. http://dx.doi.org/10.1108/ilt-03-2016-0041.

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Purpose The purpose of this paper is to study tilt angle effects as design parameters of noncircular bearings, on the linear dynamic analyses of micropolar lubricated circular, two, three and four lobe journal bearings. Design/methodology/approach Reynolds equation in dynamic state is modified considering the micropolarity characteristics of lubricant, and it is solved using generalized differential quadrature method. The perturbed components of the dynamic pressure are extracted based on the linear dynamic model. To explain the transient state of the governing equation, through the linear dyn
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30

Liu, Yunshan, Xueliang Zhang, Dawei Gu, Lei Jia, and Bangchun Wen. "Synchronization of a Dual-Mass Vibrating System with Two Exciters." Shock and Vibration 2020 (January 21, 2020): 1–12. http://dx.doi.org/10.1155/2020/9345652.

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From the perspective of theoretical derivation, numerical simulation, and engineering application, the vibratory synchronization characteristics of a dual-mass vibrating system driven by two exciters, were studied. The differential motion equations of the total system were calculated using Lagrange’s equations, and the responses of the vibrating system in the steady state were derived by Laplace transform. The synchronization criterion between two exciters was deduced by using the averaging method. Based on the Hamilton principle, the stability criterion of the vibrating system in synchronous
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Wu, Liang, Yong-Tao Zhang, Shuhai Zhang, and Chi-Wang Shu. "High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study." Communications in Computational Physics 20, no. 4 (2016): 835–69. http://dx.doi.org/10.4208/cicp.130715.010216a.

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AbstractFixed-point iterative sweeping methods were developed in the literature to efficiently solve static Hamilton-Jacobi equations. This class of methods utilizes the Gauss-Seidel iterations and alternating sweeping strategy to achieve fast convergence rate. They take advantage of the properties of hyperbolic partial differential equations (PDEs) and try to cover a family of characteristics of the corresponding Hamilton-Jacobi equation in a certain direction simultaneously in each sweeping order. Different from other fast sweeping methods, fixed-point iterative sweeping methods have the adv
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32

Christopherson, J., M. Mahinfalah, and Reza N. Jazar. "Suspended Decoupler: A New Design of Hydraulic Engine Mount." Advances in Acoustics and Vibration 2012 (December 22, 2012): 1–11. http://dx.doi.org/10.1155/2012/826497.

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Because of the density mismatch between the decoupler and surrounding fluid, the decoupler of all hydraulic engine mounts (HEM) might float, sink, or stick to the cage bounds, assuming static conditions. The problem appears in the transient response of a bottomed-up floating decoupler hydraulic engine mount. To overcome the bottomed-up problem, a suspended decoupler design for improved decoupler control is introduced. The new design does not noticeably affect the mechanism's steady-state behavior, but improves start-up and transient response. Additionally, the decoupler mechanism is incorporat
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33

Piao, Daqing. "Phenomenological Interpretations of Some Somatic Temporal and Spatial Patterns of Biophoton Emission in Humans." Journal of Scientific Exploration 35, no. 2 (2021): 345–82. http://dx.doi.org/10.31275/20211685.

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Biophoton emission remains controversial. The photo-genic origin of biophoton has been attributed to the oxidative stress or free radical production. However, there are considerable gaps in quantitative understanding of biophoton emission. I propose an analytical hypothesis for interpreting a few patterns of steady-state biophoton emission of human, including the dependency on age, the diurnal variation, and the geometric asymmetry associated with serious asymmetrical pathological conditions. The hypothesis is based on an alternative form of energy state, termed vivo-nergy, which is associated
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34

Luongo, A., G. Rega, and F. Vestroni. "On Nonlinear Dynamics of Planar Shear Indeformable Beams." Journal of Applied Mechanics 53, no. 3 (1986): 619–24. http://dx.doi.org/10.1115/1.3171821.

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The planar forced oscillations of shear indeformabie beams with either movable or immovable supports are studied through a unified approach. An exact nonlinear beam model is referred to and a consistent procedure up to order three nonlinearities is followed. By eliminating the longitudinal displacement component through a constraint condition and assuming one mode, the problem is reduced to one nonlinear differential equation. A perturbational solution in the neighborhood of the resonant frequency is determined and the stability of the steady-state solutions is studied. The dependence of the p
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35

Xiao, Shenping, Zhouquan Ou, Junming Peng, Yang Zhang, and Xiaohu Zhang. "Single-Phase Photovoltaic Grid-Connected Inverter Based on Fuzzy Neural Network." Journal of Advanced Computational Intelligence and Intelligent Informatics 25, no. 3 (2021): 310–16. http://dx.doi.org/10.20965/jaciii.2021.p0310.

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Based on a single-phase photovoltaic grid-connected inverter, a control strategy combining traditional proportional–integral–derivative (PID) control and a dynamic optimal control algorithm with a fuzzy neural network was proposed to improve the dynamic characteristics of grid-connected inverter systems effectively. A fuzzy inference rule was established after analyzing the proportional, integral, and differential coefficients of the PID controller. A fuzzy neural network was applied to adjust the parameters of the PID controller automatically. Accordingly, the proposed dynamic optimization al
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36

Ryzhkov, Alexander V., Matthew R. Kumjian, Scott M. Ganson, and Alexander P. Khain. "Polarimetric Radar Characteristics of Melting Hail. Part I: Theoretical Simulations Using Spectral Microphysical Modeling." Journal of Applied Meteorology and Climatology 52, no. 12 (2013): 2849–70. http://dx.doi.org/10.1175/jamc-d-13-073.1.

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AbstractSpectral (bin) microphysics models are used to simulate polarimetric radar variables in melting hail. Most computations are performed in a framework of a steady-state, one-dimensional column model. Vertical profiles of radar reflectivity factor Z, differential reflectivity ZDR, specific differential phase KDP, specific attenuation Ah, and specific differential attenuation ADP are modeled at S, C, and X bands for a variety of size distributions of ice particles aloft. The impact of temperature lapse rate, humidity, vertical air velocities, and ice particle density on the vertical profil
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37

Barone, M. R., and D. A. Caulk. "A New Method for Thermal Analysis of Die Casting." Journal of Heat Transfer 115, no. 2 (1993): 284–93. http://dx.doi.org/10.1115/1.2910678.

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A new approach is developed for solving the initial value, steady periodic heat conduction problem in steady-state die casting. Three characteristics found in nearly all die casting processes are exploited directly: The casting is thin compared with its overall size, its thermal conductivity is high compared with that of the mold, and the cycle time is short compared with the start-up transient of the process. Under these conditions, it is reasonable to neglect the transverse temperature gradients in the casting and assume that all die temperatures below a certain depth from the cavity surface
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38

Kikuuwe, Ryo. "A Brush-Type Tire Model with Nonsmooth Representation." Mathematical Problems in Engineering 2019 (December 17, 2019): 1–13. http://dx.doi.org/10.1155/2019/9747605.

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This paper proposes a brush-type tire model with a new mathematical representation. The presented model can be seen as a generic model that describes the distributed viscoelastic force and Coulomb-like friction force, which are balancing each other at each point, in the contact patch. The model is described as a partial differential algebraic inclusion (PDAI), which involves the set-valuedness to represent the static friction. A numerical integration algorithm for this PDAI is derived through the implicit Euler discretization along both space and time. Some numerical comparisons with Magic For
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39

Ji, Xin, Aichen Wang, and Xinhua Wei. "Precision Control of Spraying Quantity Based on Linear Active Disturbance Rejection Control Method." Agriculture 11, no. 8 (2021): 761. http://dx.doi.org/10.3390/agriculture11080761.

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Current methods to control the spraying quantity present several disadvantages, such as poor precision, a long adjustment time, and serious environmental pollution. In this paper, the flow control valve and the linear active disturbance controller (LADRC) were used to control the spraying quantity. Due to the disturbance characteristics in the spraying pipeline during the actual operation, the total disturbance was observed by a linear extended state observer (LESO). A 12 m commercial boom sprayer was used to carry out practical field operation tests after relevant intelligent transformation.
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40

Yang, Z. J., Z. Q. Wang, L. Q. Tang, and X. Y. Sun. "Ceramics Toughening Mechanism Study of Mixed-Mode I-III Cracks with a New Yield Criterion." Journal of Mechanics 27, no. 3 (2011): 409–14. http://dx.doi.org/10.1017/jmech.2011.43.

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ABSTRACTConsidering the SD (strength differential) effect on compressive strength and tensile strength in zirconia ceramic material, a yield criterion with a special parameter is introduced. In addition, by analogy with associated flow rule, the constitutive model of phase transformation ceramic material has been established. Under generalized plane strain condition, the theoretical toughening expressions of mixed-mode I-III stationary cracks and steady-state growing cracks have been developed with the constitutive model. The crack toughening effect has been discussed in detail with the Poisso
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41

Li, Yu, and Jun-Sheng Duan. "The periodic response of a fractional oscillator with a spring-pot and an inerter-pot." Journal of Mechanics 37 (December 18, 2020): 108–17. http://dx.doi.org/10.1093/jom/ufaa009.

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Abstract The fractional oscillation system with two Weyl-type fractional derivative terms $_{ - \infty }D_t^\beta x$ (0 < β < 1) and $_{ - \infty }D_t^\alpha x$ (1 < α < 2), which portray a “spring-pot” and an “inerter-pot” and contribute to viscoelasticity and viscous inertia, respectively, was considered. At first, it was proved that the fractional system with constant coefficients under harmonic excitation is equivalent to a second-order differential system with frequency-dependent coefficients by applying the Fourier transform. The effect of the fractional order
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42

Wan, Zhiguo, Yu Wang, Binqiang Chen, Yihua Dou, and Xinjuan Wei. "The Vibration of a Transversely Cracked Rotor Supported by Anisotropic Journal Bearings with Speed-Dependent Characteristic." Applied Sciences 10, no. 16 (2020): 5617. http://dx.doi.org/10.3390/app10165617.

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This paper presents the vibration of a transversely cracked rotor supported by anisotropic journal bearings, where the speed-dependent characteristic of bearing is considered. A 3D finite element model and the contact-based approach are employed for the shaft and crack. The governing differential equations of the whole cracked rotor-bearing system were obtained by synthesizing the equations of the cracked shaft, the breathing crack and the journal bearings. In order to solve the computational difficulties caused by the high dimensions of model, the free-interface complex component mode synthes
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43

Grolman, Eric, and Jan M. H. Fortuin. "Transient Gas-Liquid Flow in Upward Sloping Pipes, Approaching the Wavy-to-Slug Flow Transition." Journal of Fluids Engineering 118, no. 4 (1996): 729–35. http://dx.doi.org/10.1115/1.2835502.

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A model is presented for transient, cocurrent gas-liquid pipe flow in the stratified-smooth and stratified-wavy flow regimes. It is based on the equations of continuity and motion in the direction of flow and results in two hyperbolic partial differential equations, which are solved numerically using the combined methods of lines (Schiesser, 1991) and characteristics (Stoker, 1957). In wavy gas-liquid pipe flow, three different interfacial areas and corresponding shear stresses are identified. Three friction-factor correlations were derived on the basis of an extensive set of 2500 steady-state
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44

R., Durga Devi, and Nageswari S. "Mathematical modelling and analysis of voltage super-lift power dc-dc converter for enhanced dynamic characteristics in CCM." COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 38, no. 2 (2019): 759–76. http://dx.doi.org/10.1108/compel-12-2017-0505.

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Purpose The purpose of this paper is to propose a mathematical model for voltage super-lift dc-dc power converter in continuous conduction mode (CCM). Using the presented mathematical model, the analysis of dynamics of power stage for voltage super-lift dc-dc power converter can be performed. Design/methodology/approach The proposed method is based on the average state space model using the state equations of the dc-dc power converter. In the proposed method, the converter is represented as a set of differential equations derived for each switching state of the power switch in terms of inducto
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45

Ali, Kashif, Muhammad Ashraf, and Nimra Jameel. "Numerical simulation of magnetohydrodynamic micropolar fluid flow and heat transfer in a channel with shrinking walls." Canadian Journal of Physics 92, no. 9 (2014): 987–96. http://dx.doi.org/10.1139/cjp-2013-0324.

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We numerically study the steady hydromagnetic (magnetohydrodynamic) flow and heat transfer characteristics of a viscous incompressible electrically conducting micropolar fluid in a channel with shrinking walls. Unlike the classical shooting methodology, two distinct numerical techniques are employed to solve the transformed self-similar nonlinear ordinary differential equations (ODEs). One is the combination of a direct and an iterative method (successive over-relaxation with optimal relaxation parameter) for solving the sparse system of linear algebraic equations arising from the finite diffe
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46

Kim, Hyun-Sil, and Jerry H. Ginsberg. "Transient Wave Propagation in a Harmonically Heterogeneous Elastic Solid." Journal of Applied Mechanics 59, no. 2S (1992): S145—S151. http://dx.doi.org/10.1115/1.2899479.

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Transient propagation of a one-dimensional dilatational wave in a harmonically heterogeneous elastic solid is studied by several techniques. A regular perturbation analysis in terms of the characteristics of the differential equation shows that initiation of a temporally harmonic excitation that generates a signal whose wavelength is twice the periodicity of the heterogeneity leads to secularity in the first approximation. The frequency at which this situation occurs matches the frequency at which Floquet theory predicts that steady-state waves may be unstable. A finite difference algorithm ba
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47

Chaurasiya, Kanhaiya Lal, Bishakh Bhattacharya, AK Varma, and Sarthak Rastogi. "Dynamic modeling of a cabin pressure control system." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 234, no. 2 (2019): 401–15. http://dx.doi.org/10.1177/0954410019867578.

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Cabin pressure control system of an aircraft maintains cabin pressure in all flight modes as per the aircraft cabin pressurization characteristics by controlling the air flow from the cabin through the outflow valve of the cabin pressure control valve. The movement of outflow valve in turn depends on the air flow from the control chamber of cabin pressure control valve, which is controlled by the clapper and the poppet valves. These valves are actuated by absolute pressure and the differential pressure capsules, respectively depending upon the operating flight conditions. Mathematical models h
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48

Huang, C. L. "Kinetic isoforms of intramembrane charge in intact amphibian striated muscle." Journal of General Physiology 107, no. 4 (1996): 515–34. http://dx.doi.org/10.1085/jgp.107.4.515.

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The effects of the ryanodine receptor (RyR) antagonists ryanodine and daunorubicin on the kinetic and steady-state properties of intramembrane charge were investigated in intact voltage-clamped frog skeletal muscle fibers under conditions that minimized time-dependent ionic currents. A hypothesis that RyR gating is allosterically coupled to configurational changes in dihydropyridine receptors (DHPRs) would predict that such interactions are reciprocal and that RyR modification should influence intramembrane charge. Both agents indeed modified the time course of charging transients at 100-200-m
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49

Sukhanovskii, A., A. Evgrafova, and E. Popova. "Helicity of Convective Flows from Localized Heat Source in a Rotating Layer." Archive of Mechanical Engineering 64, no. 2 (2017): 177–88. http://dx.doi.org/10.1515/meceng-2017-0011.

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AbstractExperimental and numerical study of the steady-state cyclonic vortex from isolated heat source in a rotating fluid layer is described. The structure of laboratory cyclonic vortex is similar to the typical structure of tropical cyclones from observational data and numerical modelling including secondary flows in the boundary layer. Differential characteristics of the flow were studied by numerical simulation using CFD software FlowVision. Helicity distribution in rotating fluid layer with localized heat source was analysed. Two mechanisms which play role in helicity generation are found
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50

Batool, Iqra, and Naim Bajcinca. "Evolution of cancer stem cell lineage involving feedback regulation." PLOS ONE 16, no. 5 (2021): e0251481. http://dx.doi.org/10.1371/journal.pone.0251481.

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Tumor emergence and progression is a complex phenomenon that assumes special molecular and cellular interactions. The hierarchical structuring and communication via feedback signaling of different cell types, which are categorized as the stem, progenitor, and differentiated cells in dependence of their maturity level, plays an important role. Under healthy conditions, these cells build a dynamical system that is responsible for facilitating the homeostatic regulation of the tissue. Generally, in this hierarchical setting, stem and progenitor cells are yet likely to undergo a mutation, when a c
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