• Title/Summary/Keyword: perturbed parameter

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EXISTENCE AND EXPONENTIAL STABILITY OF NEUTRAL STOCHASTIC PARTIAL INTEGRODIFFERENTIAL EQUATIONS DRIVEN BY FRACTIONAL BROWNIAN MOTION WITH IMPULSIVE EFFECTS

  • CHALISHAJAR, DIMPLEKUMAR;RAMKUMAR, K.;ANGURAJ, A.
    • Journal of Applied and Pure Mathematics
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    • v.4 no.1_2
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    • pp.9-26
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    • 2022
  • The purpose of this work is to study the existence and continuous dependence on neutral stochastic partial integrodifferential equations with impulsive effects, perturbed by a fractional Brownian motion with Hurst parameter $H{\in}({\frac{1}{2}},\;1)$. We use the theory of resolvent operators developed in Grimmer [19] to show the existence of mild solutions. Further, we establish a new impulsive-integral inequality to prove the exponential stability of mild solutions in the mean square moment. Finally, an example is presented to illustrate our obtained results.

Squeal Analysis of Disc Brake Using Analytical-FE Squeal Model (스퀼융합모델을 이용한 디스크 브레이크 스퀼 소음 연구)

  • Kang, Jaeyoung
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.15 no.11
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    • pp.6406-6411
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    • 2014
  • This paper presents the analytical-FE (finite element) squeal model, which can provide the efficient simulation time and accuracy. The system geometry and the extraction of the vibration modes were constructed using the finite element method. Instead, the friction contact model was derived from theoretical contact kinematics of the rotating disc and the stationary pads. This modeling procedure was incorporated into the perturbed equations of motion based on the finite elements of the system. Throughout the analytical-FE squeal model, the accuracy of linear stability analysis and the simulation time of FE squeal analysis were improved. In addition, the sensitivity of contact stiffness on brake squeal and the mode-coupling mechanism were provided by the system parameter study.

Effect of Vibration on Grout Permeation Characteristics (진동주입이 그라우트재의 침투 특성에 미치는 영향 연구)

  • Lee, Mun-Seon;Kim, Jong-Sun;Lee, Sung-Dong;Choi, Young-Joon;Yang, Jae-Man;Lee, In-Mo
    • Proceedings of the Korean Geotechical Society Conference
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    • 2010.03a
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    • pp.267-278
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    • 2010
  • To improve the grout penetration characteristics, vibration method was adopted in this study. The grout material perturbed by cyclic vibration is injected into the ground. By applying the vibrating flow system, cement particles will become less adhesive and the clogging tendency will be decreased. A series of pilot-scale chamber tests were performed to verify the enhancement of the groutability by applying the vibratory grout injection; assessment on change of the lumped parameter $\theta$ which represents a barometer of clogging phenomenon was made. Moreover, the effect of vibratory grout injection through the joint was also investigated using artificially made rock joints. Experimental results as well as analytical results show that the grout penetration depth can be substantially improved by vibration grouting. Moreover, it was found that enhancement of the permeation grouting due to vibratory injection is more dominant at low grouting pressure of less than 400kPa.

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Discrete-vortex Simulation of Turbulent Separation Bubble Excited by Acoustic Perturbatioons (음향교란을 받는 난류박리기포의 이산와류 수치해석)

  • 임재욱;성형진
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.4
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    • pp.775-786
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    • 1992
  • Studies are made of the turbulent separation bubble in a two-dimensional semi-infinite blunt plate aligned to a uniform free stream when the oncoming free stream contains a pulsating component. The discrete-vortex method is applied to simulate this flow situations because this approach is effective to represent the unsteady motions of turbulent shear layer and the effect of viscosity near the solid surface. The two key external paramenters in the free stream, i.e., the amplitude of pulsation, A, and the frequency parameter St[=fH/ $U_{1}$], are dealt with in the present numerical computations, A particular frequency gives a minimum reattachment which is related to the drag reduction and the most effective frequency is dependent on the most amplified shedding frequency. The turbulent flow structure is scrutinized. A comparison between the unperturbed flow and the perturbed at the particular frequency of the minimum reattachment length of the separation bubble suggests that the large-scale structure is associated with the shedding frequency and the flow instabilities.

Nonlinear Analysis of Sloshing in Rectangular Tanks by Perturbation Approach (섭동법을 사용한 사각형 유체저장 탱크의 비선형 유동해석)

  • 전영선;윤정방
    • Journal of the Earthquake Engineering Society of Korea
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    • v.6 no.6
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    • pp.55-64
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    • 2002
  • For nonlinear analysis of sloshing of fluid in rectangular tanks, a new method using the perturbation approach is presented. The results by presented method show good agreement with results in previous study. The importance of nonlinear sloshing analysis is demonstrated by comparing nonlinear behaviors of sloshing in broad and tall tanks with different site conditions. In general, the results by nonlinear analysis are greater than those by linear analysis. Specially, the nonlinear behavior is significant in softer soil site and broad tank. Therefore, nonlinear behavior analysis has to be considered in the design of large liquid storage tanks.

Computation of Laryngeal Flow and Sound through a Dynamic Model of the Vocal Folds (동적 성대 모델을 이용한 후두 내 유동 및 음향장에 대한 수치 연구)

  • Bae, Young-Min;Moon, Young-J.
    • 한국전산유체공학회:학술대회논문집
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    • 2008.03b
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    • pp.21-24
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    • 2008
  • The present study numerically investigates the glottal airflow characteristics as well as acoustic features of phonation fully coupled with dynamic behavior of vocal folds. The vocal folds are described by a low-dimensional body-covered model characterized by bio-mechanical parameters such as glottal width, vocal folds stiffness, and subglottal pressure. The flow in the vocal tract is modeled as an incompressible, axisymmetric form of the Navier-Stokes equations (INS), while the acoustic field is predicted by the linearized perturbed compressible equations (LPCE). The computed result shows that a two-mass model of vocal folds is sufficient to reproduce temporal variations in oral airflow and glottis motion produced by female speakers. It is also found that i) the glottal width has a significant effect on the amplitude of glottal flow, and thus on the amplitude of acoustic wave in the vocal tract, ii) the vocal fold tension is the main control parameter for the fundamental frequency of phonation, iii) the subglottal pressure plays an appreciable role on reproduction of the self-sustained oscillation of vocal folds, and iv) the strength of pulsating airflow and vortical structures are primarily affected by glottal width and subglottal pressure, and are closely related to pitch, loudness, and voice quality. Finally, more comprehensive explanation about the difference between one- and two-mass models is presented with discussion of effectiveness of vocal folds oscillation and voice quality.

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Application of meta-model based parameter identification of a seismically retrofitted reinforced concrete building

  • Yu, Eunjong
    • Computers and Concrete
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    • v.21 no.4
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    • pp.441-449
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    • 2018
  • FE models for complex or large-scaled structures that need detailed modeling of structural components are usually constructed using commercial analysis softwares. Updating of such FE model by conventional sensitivity-based methods is difficult since repeated computation for perturbed parameters and manual calculations are needed to obtain sensitivity matrix in each iteration. In this study, an FE model updating procedure avoiding such difficulties by using response surface (RS) method and a Pareto-based multiobjective optimization (MOO) was formulated and applied to FE models constructed with a commercial analysis package. The test building is a low-rise reinforced concrete building that has been seismically retrofitted. Dynamic properties of the building were extracted from vibration tests performed before and after the seismic retrofits, respectively. The elastic modulus of concrete and masonry, and spring constants for the expansion joint were updated. Two RS functions representing the errors in the natural frequencies and mode shape, respectively, were obtained and used as the objective functions for MOO. Among the Pareto solutions, the best compromise solution was determined using the TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) procedure. A similar task was performed for retrofitted building by taking the updating parameters as the stiffness of modified or added members. Obtained parameters of the existing building were reasonably comparable with the current code provisions. However, the stiffness of added concrete shear walls and steel section jacketed members were considerably lower than expectation. Such low values are seemingly because the bond between new and existing concrete was not as good as the monolithically casted members, even though they were connected by the anchoring bars.

A Study on the Development of Next Generation Wireless PAN Algorithms with Location Awareness Technique (위치인식기반의 차세대 무선 PAN 알고리즘 개발에 관한 연구)

  • Cho, Juphil
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.16 no.10
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    • pp.2095-2100
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    • 2012
  • In this paper, we propose the channel sounding scheme which is made for ideal communication between some application as well as the short distance of high speed data transmission in MIMO-OFDM system for Wireless PAN. This method is able to perceive the duration of the impulse response through the delaying of power delay profile, modeled a power delay profile which has an attenuate characteristic, and obtained the coefficient of channel response by ML (maximum likelihood). Through the amplitudes, phases and delays associated with each multipath component which were acquired from this channel sounding scheme, we can describe the wave propagation characteristics of channels between the transmitter and receiver so that the receiver could enhance not only the reliability but also the ability of communication link. Multi agent system models can be used to analyze the path of the system within any time frame. Further, parameter values can be perturbed to examine how the path of the system changes in response to exogenous shocks.

2-Parameter High Frequency Combustion Instability Model (2-파라메타 모델에 의한 고주파 연소불안정 해석)

  • 조용호;윤웅섭
    • Journal of the Korean Society of Propulsion Engineers
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    • v.1 no.2
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    • pp.74-83
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    • 1997
  • The definition of burning admittance and conventional n-$\tau$ stability rating technique are combined to investigate the high frequency combustion instabilities inside the cylindrical combustion chamber. Perturbed flow variables are written as the sum of fluctuating and time-averaged mean quantities on the assumption that the terms of the order higher than unity are sufficiently small, hence linearized governing equations could be formulated. Chamber admittances up and downstream of the flame front calculated with appropriate boundary conditions result in the burning admittance and corresponding n-$\tau$ neutral stability curve. Configurational and operational design factors are tested to detect the unstable wave-induced LOX-RP1 combustion instabilities. Operational design factors, e.g. pressure or O/F ratio, appear less influential to drive high frequency instability while the location of the flame front and configurational factors enhance or deteriorate the stabilities strongly. Conclusively, LOX-RP1 combustion inside the cylindrical combustion chamber is apt to be unstable against long residence time and shortened chamber length.

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The Configuration and Polyelectrolyte Behavior of Carboxymethyl Chitin in Low Concentration Solution (저농도 용액에서의 Carboxymethyl Chitin의 사슬배좌와 전해질 거동)

  • PARK Seong-Min;LEE Keun-Tae;KIM Sang-Moo
    • Korean Journal of Fisheries and Aquatic Sciences
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    • v.28 no.4
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    • pp.451-456
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    • 1995
  • To elucidate the intrinsic rheological properties of carboxymethyl chitin (CM-chitin) from the shell of red snow cyab (Chinonecetes japonicus), the configuration and polyelectrolyte behavior of CM-chitin in low concentration solution were investigated. Unperturbed dimensions were ranged from $127{\AA}\;to\;113{\AA}$ as root mean square end-to-end distance$(r_0)$, $52{\AA}$ to $46{\AA}$ as radius of gyration$(S_0)$. The intramolecular expansion tarter(a) was not varied with molecular weight and was 2.1. And effective bond length $(b_0)$ was $14.5{\AA}$. In perturbed condition, Flory constant was $2.35\times10^{21}$. When ionic strength were 0.02 and 1.0, intrinsic viscosity were 1.95dl/g and 1,06 dl/g, respectively. These results suggested that CM-chitin is a polyelectrolyte in aqueous media. At infinite ionic strength, intrinsic viscosity was 0.91dl/g. The intrinsic stiffness of CM-chitin backbone was estimated by evaluating the stiffness parameter (B) as 0.11 and agreed well with the results of k-carrageenan.

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