• Title/Summary/Keyword: sensitivity of response

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A natural frequency sensitivity-based stabilization in spectral stochastic finite element method for frequency response analysis

  • Lee, Gil-Yong;Jin, Seung-Seop;Park, Yong-Hwa
    • Structural Engineering and Mechanics
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    • v.75 no.3
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    • pp.311-325
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    • 2020
  • In applying the spectral stochastic finite element methods to the frequency response analysis, the conventional methods are known to give unstable and inaccurate results near the natural frequencies. To address this issue, a new sensitivity based stabilized formulation for stochastic frequency response analysis is proposed in this paper. The main difference over the conventional spectral methods is that the polynomials of random variables are applied to both numerator and denominator in approximating the harmonic response solution. In order to reflect the resonance behavior of the structure, the denominator polynomials is constructed by utilizing the natural frequency sensitivity and the random mode superposition. The numerator is approximated by applying a polynomial chaos expansion, and its coefficients are obtained through the Galerkin or the spectral projection method. Through various numerical studies, it is seen that the proposed method improves accuracy, especially in the vicinities of structural natural frequencies compared to conventional spectral methods.

Probabilistic sensitivity analysis of suspension bridges to near-fault ground motion

  • Cavdar, Ozlem
    • Steel and Composite Structures
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    • v.15 no.1
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    • pp.15-39
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    • 2013
  • The sensitivities of a structural response due to variation of its design parameters are prerequisite in the majority of the algorithms used for fundamental problems in engineering as system uncertainties, identification and probabilistic assessments etc. The paper presents the concept of probabilistic sensitivity of suspension bridges with respect to near-fault ground motion. In near field earthquake ground motions, large amplitude spectral accelerations can occur at long periods where many suspension bridges have significant structural response modes. Two different types of suspension bridges, which are Bosporus and Humber bridges, are selected to investigate the near-fault ground motion effects on suspension bridges random response sensitivity analysis. The modulus of elasticity is selected as random design variable. Strong ground motion records of Kocaeli, Northridge and Erzincan earthquakes are selected for the analyses. The stochastic sensitivity displacements and internal forces are determined by using the stochastic sensitivity finite element method and Monte Carlo simulation method. The stochastic sensitivity displacements and responses obtained from the two different suspension bridges subjected to these near-fault strong-ground motions are compared with each other. It is seen from the results that near-fault ground motions have different impacts stochastic sensitivity responses of suspension bridges. The stochastic sensitivity information provides a deeper insight into the structural design and it can be used as a basis for decision-making.

Estimating Ozone Sensitivity Coefficients to NOx and VOC Emissions Using BFM and HDDM for A 2007 June Episode (HDDM과 BFM을 이용한 NOx와 VOC 배출량에 대한 오존민감도계수 산정 및 결과 비교: 2007년 6월 수도권 사례)

  • Kim, Soon-Tae
    • Journal of Environmental Science International
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    • v.20 no.11
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    • pp.1465-1481
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    • 2011
  • The accuracy of ozone sensitivity coefficients estimated with HDDM (High-order Decoupled Direct Method) can vary depending on the $NO_x$ (Nitrogen Oxides) and VOC (Volatile Organic Compound) conditions. In order to evaluate the applicability of HDDM over the Seoul Metropolitan Area (SMA) during a high ozone episode in 2007 June, we compare BFM (Brute Force Method) and HDDM in terms of the $1^{st}$-order ozone sensitivity coefficient to explain ozone change in response to changes in NOx and VOC emissions, and the $2^{nd}$-order ozone sensitivity coefficient to represent nonlinear response of ozone to the emission changes. BFM and HDDM estimate comparable ozone sensitivity coefficients, exhibiting similar spatial and temporal variations over the SMAduring the episode. NME (Normalized Mean Error) between BFM and HDDM for the episode average $1^{st}$- and $2^{nd}$-order ozone sensitivity coefficients to NOx and VOC emissions are less than 3% and 9%, respectively. For the daily comparison, NME for the $1^{st}$- and $2^{nd}$-order ozone sensitivity coefficients are less than 4% ($R^2$ > 0.96) and 15% ($R^2$ > 0.90), respectively. Under the emission conditions used in this study, two methods show negative episode average $1^{st}$-order ozone sensitivity coefficient to $NO_x$ emissions over the core SMA. The $2^{nd}$-order ozone sensitivity coefficient to $NO_x$ emissions leads ozone to respond muchnonlinear to the reduction in $NO_x$ emissions over Seoul. Nonlinear ozone response to reduction in VOC emissions is mitigated due to the $2^{nd}$-order ozone sensitivity coefficient which is much smaller than the $1^{st}$-order ozone sensitivity coefficient to the emissions in the magnitude.

The Influence of Anxiety Sensitivity on Task Performance and Stress Response: The Moderating Effect of Depression (불안민감도가 과제 수행과 스트레스 반응에 미치는 영향: 우울감의 조절효과)

  • Kim, Sori;Lee, Jung Hyun
    • Stress
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    • v.27 no.2
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    • pp.199-204
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    • 2019
  • Backgoround: This study aimed to examine the influence of anxiety sensitivity on task performance and physiological stress response, and to assess the effect of depression in this process for the youth population. Methods: We presented participants with an uncontrollable stress situation where they were required to perform mental arithmetic, based on the Montreal Imaging Stress Task (MIST). A total of 29 participants volunteered for this study. They completed the Anxiety Sensitivity Index-Revised and Patient Health Questionnaire-9 to measure their levels of anxiety sensitivity and depression. Two saliva samples, one before and one after the experiment, were collected to assess the change in cortisol levels as an index of physiological stress response. Results: Participants with high anxiety sensitivity showed lower performance on the mental arithmetic tasks and a significant increase in a salivary cortisol level, compared to those with low anxiety sensitivity. Furthermore, cortisol levels showed a remarkable increase where high anxiety sensitivity was coupled with depressed mood. In other hands, the levels of cortisol remained unchanged despite high anxiety sensitivity with low depressed mood. Conclusions: Our results confirm that the interaction between anxiety sensitivity and depression affects participants' task performance and stress response, as measured through behavioral tasks and physiological data with self-report indices. Also, through the physiological data, we examined that those who have a high level of anxiety sensitivity showed maladaptive responses under high stressful situation.

Aging Effect on Charge Sensitivity and Frequency Response of PZT Ceramics (PZT 세라믹스의 전하감도와 주파수 응답특성에 대한 경시변화 효과)

  • 신병철;임종인;윤만순;박병학;백성기
    • Journal of the Korean Ceramic Society
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    • v.26 no.4
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    • pp.588-590
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    • 1989
  • Charge sensitivity and its frequency response characteristics were measured in poled and aged lead zirconate titanate(PZT) ceramics prepared by sintering. Aged PZT has lower charge sensitivity and lower mounted resonance frequency than just poled PZT.

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Parametric Sensitivity Analyses of Linear System relative to the Characteristic Ratios of Coefficient (I) : A General Case (계수의 특성비에 대한 선형계의 파라미터적 감도해석(I): 일반적인 경우)

  • 김영철;김근식
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.3
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    • pp.205-215
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    • 2004
  • The characteristic ratio assignment (CRA) method〔1〕 is new polynomial approach which allows to directly address the transient responses such as overshoot and speed of response time in time domain specifications. The method is based on the relationships between time response and characteristic ratios($\alpha_i$ ) and generalized time constant (T), which are defined in terms of coefficients of characteristic polynomial. However, even though the CRA can apply to developing a linear controller that meets good transient responses, there are still some fundamental questions to be explored. For the purpose of this, we have analyzed several sensitivities of a linear system with respect to the changes of coefficients itself and $\alpha_i$ of denominator polynomial. They are (i) the unnormalized root sensitivity : to determine how the poles change as $\alpha_i$ changes, and (ii) the function sensitivity to determine the sensitivity of step response to the change of o, and to analyze the sensitivity of frequency response as o, changes. As an other important result, it is shown that, under any fixed T and coefficient of the lowest order of s in denominator, the step response is dominantly affected merely by $\alpha_1, alpha_2 and alpha_3$ regardless of the order of denominator higher than 4. This means that the rest of the$\alpha_i$ s have little effect on the step response. These results provide some useful insight and background theory when we select $\alpha_i$ and T to compose a reference model, and in particular when we design a low order controllers such as PID controller.

Sensitivity Analysis of Dynamic Response by Change in Excitation Force and Cross-sectional Shape for Damped Vibration of Cantilever Beam (가진력과 단면형상 변화에 따른 외팔보 감쇠 진동의 민감도 해석)

  • Yun, Seong-Ho
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.20 no.8
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    • pp.11-17
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    • 2021
  • This paper describes the time rate of change of dynamic response of a cantilever beam inserted with a damping element, such as bonding, which is excited under a general force at various locations. A sensitivity analysis was performed in a finite element model to show that two types of second-order algebraic governing equations were used to predict the rate of change of dynamic displacement: one is related to the modal coordinate linked to a physical coordinate, and the other to the design parameter of the time rate of change of displacement. The sensitivity differential equation formulation includes more complicated terms compared with that of the undamped cantilever beam. The sensitivities of the dynamic response were observed by changing the location of the excitation force, displacement extraction, and cross-sectional area of the beam. The analytical results obtained by this suggested theory showed a relatively good agreement when compared with those obtained using the commercial finite element program. The suggested analysis procedure enables the prediction of the response sensitivity for any finite element model of the dynamic system.

Generation of LiF(Mg,Cu,Na,Si) thermoluminescent crystal and evaluation of dose response and sensitivity

  • Abdollah Khorshidi
    • Nuclear Engineering and Technology
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    • v.56 no.7
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    • pp.2790-2798
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    • 2024
  • In this research, thermoluminescent pellets were prepared by adding Mg, Cu, Na and Si impurities to lithium fluoride (LiF) crystal powder via melting and quenching methods to study dosimetric characteristics. Here, its reproducibility, dose response, dosimeter sensitivity, thermal and optical fading were investigated and the obtained results were compared with the properties of LiF: Cu, Mg, P crystal nominated as GR-200.

State-space formulation for simultaneous identification of both damage and input force from response sensitivity

  • Lu, Z.R.;Huang, M.;Liu, J.K.
    • Smart Structures and Systems
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    • v.8 no.2
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    • pp.157-172
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    • 2011
  • A new method for both local damage(s) identification and input excitation force identification of beam structures is presented using the dynamic response sensitivity-based finite element model updating method. The state-space approach is used to calculate both the structural dynamic responses and the responses sensitivities with respect to structural physical parameters such as elemental flexural rigidity and with respect to the force parameters as well. The sensitivities of displacement and acceleration responses with respect to structural physical parameters are calculated in time domain and compared to those by using Newmark method in the forward analysis. In the inverse analysis, both the input excitation force and the local damage are identified from only several acceleration measurements. Local damages and the input excitation force are identified in a gradient-based model updating method based on dynamic response sensitivity. Both computation simulations and the laboratory work illustrate the effectiveness and robustness of the proposed method.

Analysis of Response of Lumped Mass System Using Sensitivity Method in Frequency Domain (주파수 영역 민감도 방법을 이용한 집중 질량 구조물의 응답 해석)

  • Baek, Moon-Yeol;Kee, Chang-Doo
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.10
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    • pp.164-169
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    • 1997
  • The aim of this paper is to present some results of sensitivity analysis in frequency domain. The sensitivity fonctions in frequency domain is not depend on the external excitation but depend on the frequency of the system's resonance. The sensitivity functions are determined as function of partial derivatives of system transfer functions taken with respect to system design parameters. The logarithmic sensitivity function is the dimensionless sensitivity funciton available, making it useful to compare the influence of various parameters on system variables. Two degree of fredom system is used to illustrate the procedure for sensitivity analysis proposed in this paper.

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