• Title/Summary/Keyword: linear response

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A State-Space Transient Response Analysis of Rotor-Bearing System with Base Excitation (기초가진 로터-베어링 시스템의 상태공간 과도응답해석)

  • 이안성;김병옥;김영철;김영춘
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.669-674
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    • 2004
  • In this study, the analytical method to evaluate the response of rotor-bearing system subjected to base excitation was presented. The equations of motion contain speed dependent gyroscopic terms, base rotation dependent parametric terms and several forcing function terms which depend on linear accelerations, rotational accelerations and a combination of linear and rotational combination. The study of rotor-bearing system excited by its base motion is not only able to predict the rotational performance, but provides the fundamental data for vibration isolation. In order to illustrate transient response, transient response analysis of a practical application sample were performed. The transient response was carried out for the given base excitation by using the state-space Newmark method that incorporates the average velocity concept.

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Response of rigid footing on reinforced granular fill over soft soil

  • Ramu, K.;Madhav, Madhira R.
    • Geomechanics and Engineering
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    • v.2 no.4
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    • pp.281-302
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    • 2010
  • An extended model for the response of a rigid footing on a reinforced foundation bed on super soft soil is proposed by incorporating the rough membrane element into the granular bed. The super soft soil, the granular bed and the reinforcement are modeled as non-linear Winkler springs, non-linear Pasternak layer and rough membrane respectively. The hyperbolic stress-displacement response of the super soft soil and the hyperbolic shear stress-shear strain response of the granular fill are considered. The finite deformation theory is used since large settlements are expected to develop due to deformation of the super-soft soil. Parametric studies quantify the effect of each parameter on the stress-settlement response of the reinforced foundation bed, the settlement and tension profiles.

Effect of PSD Function on Linear Response and Inelastic Response of Single Degree of Freedom System (단자유도 시스템의 선형응답과 비탄성응답에 미치는 PSD함수의 영향)

  • Choi, Dong-Ho;Lee, Sang-Hoon;Kim, Yong-Sik;Koh, Jung-Hoon
    • 한국방재학회:학술대회논문집
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    • 2008.02a
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    • pp.257-259
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    • 2008
  • Acceleration time history (ATH) used in the seismic analysis should envelop a target power spectral density (PSD) function in addition to the design response spectrum in order to have sufficient energy at each frequency for the purpose of ensuring adequate load. Even though design regulations require the ATH used in seismic analysis to meet a target PSD function, the reason that ATHs meet to a target PSD function is not described. Thus, artificial ATHs for high PSD function and artificial ATHs for low PSD function are generated. And then elastic and inelastic single-degree-of-freedom (SDOF) systems are loaded with these artificial time histories as the earthquake load. As a result, linear response and inelastic response of SDOF systems are affected by PSD function.

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Development of equivalent linear algorithm procedure that accounts for the loading frequency dependent soil behavior (하중의 주파수에 지배받는 흙의 동적거동을 고려하는 등가선형해석방법 개발)

  • Park, Du-Hee;Lee, Hyun-Woo;Lee, Seung-Chan;Kim, Jae-Yeon;Chun, Byung-Sik
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.617-624
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    • 2006
  • Site response analysis is widely used in estimating local seismic site effects. The soil behavior in the analysis is assumed to be Independent of the rate of the seismic loading laboratory results, however, indicate that cohesive soil behavior is greatly influenced by the rate of loading. A new equivalent linear analysis method is developed that accounts for the rate-dependence of soil behavior and used to perform a series of one dimensional site response analyses. Results indicate that while rate-dependent shear modulus has limited influence on computed site response, rate-dependent soil damping greatly filters out high frequency components of the ground motion and thus results in lower response.

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Nonlinear Response Structural Optimization of a Joined-Wing Using Equivalent Loads (등가하중법을 이용한 접합날개의 기하 비선형 응답 구조최적설계)

  • Kim, Yong-Il;Park, Gyung-Jin
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.321-326
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    • 2007
  • The joined-wing is a new concept of the airplane wing. The fore-wing and the aft-wing arc joined together in the joined-wing. The range and loiter are longer than those of a conventional wing. The joined-wing can lead to increased aerodynamic performances and reduction of the structural weight. The structural behavior of the joined-wing has a high geometric nonlinearity according to the external loads. The gust loads are the most critical loading conditions in the structural design of the joined-wing. The nonlinear behavior should be considered in the optimization of the joined-wing. It is well known that conventional nonlinear response optimization is extremely expensive: therefore, the conventional method is almost impossible to use in large scale structures such as the joined-wing. In this research, geometric nonlinear response structural optimization is carried out using equivalent loads. Equivalent loads are the load sets which generate the same response field in linear analysis as that from nonlinear analysis. In the equivalent loads method, the external loads are transformed to the equivalent loads (EL) for linear static analysis, and linear response optimization is carried out based on the EL.

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Case Study on Influential Factors of Nonlinear Response History Analysis - Focused on 1989 Loma Prieta Earthquake - (비선형 응답이력해석의 영향인자에 대한 사례연구 - 1989 Loma Prieta 지진 계측기록을 중심으로 -)

  • Liu, Qihang;Lee, Jin-Sun
    • Journal of the Korean Geotechnical Society
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    • v.33 no.12
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    • pp.45-58
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    • 2017
  • As many seismic codes for various facilities are changed into a performance based design code, demand for a reliable nonlinear response-history analysis (RHA) arises. However, the equivalent linear analysis has been used as a standard approach since 1970 in the field of site response analysis. So, the reliability of nonlinear RHA should be provided to be adopted in replace of equivalent linear analysis. In this paper, the reliability of nonlinear RHA is reviewed for a layered soil layer using Loma Prieta earthquake records in 1989. For this purpose, the appropriate way for selecting nonlinear soil models and the effect of base boundary condition for 3D analysis are evaluated. As a result, there is no significant differences between equivalent linear and nonlinear RHA. In case of 3D analysis, absorbing boundary condition should be applied at base to prevent rocking motion of the whole model.

On the second order effect of the springing response of large blunt ship

  • Kim, Yooil;Park, Sung-Gun
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.5
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    • pp.873-887
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    • 2015
  • The springing response of a large blunt ship was considered to be influenced by a second order interaction between the incoming irregular wave and the blunt geometry of the forebody of the ship. Little efforts have been made to simulate this complicated fluid-structure interaction phenomenon under irregular waves considering the second order effect; hence, the above mentioned premise still remains unproven. In this paper, efforts were made to quantify the second order effect between the wave and vibrating flexible ship structure by analyzing the experimental data obtained through the model basin test of the scaled-segmented model of a large blunt ship. To achieve this goal, the measured vertical bending moment and the wave elevation time history were analyzed using a higher order spectral analysis technique, where the quadratic interaction between the excitation and response was captured by the cross bispectrum of two randomly oscillating variables. The nonlinear response of the vibrating hull was expressed in terms of a quadratic Volterra series assuming that the wave excitation is Gaussian. The Volterra series was then orthogonalized using Barrett's procedure to remove the interference between the kernels of different orders. Both the linear and quadratic transfer functions of the given system were then derived based on a Fourier transform of the orthogonalized Volterra series. Finally, the response was decomposed into a linear and quadratic part to determine the contribution of the second order effect using the obtained linear and quadratic transfer functions of the system, combined with the given wave spectrum used in the experiment. The contribution of the second order effect on the springing response of the analyzed ship was almost comparable to the linear one in terms of its peak power near the resonance frequency.

Bias adjusted estimation in a sample survey with linear response rate (응답률이 선형인 표본조사에서 편향 보정 추정)

  • Chung, Hee Young;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.32 no.4
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    • pp.631-642
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    • 2019
  • Many methods have been developed to solve problems found in sample surveys involving a large number of item non-responses that cause inaccuracies in estimation. However, the non-response adjustment method used under the assumption of random non-response generates a bias in cases where the response rate is affected by the variable of interest. Chung and Shin (2017) and Min and Shin (2018) proposed a method to improve the accuracy of estimation by appropriately adjusting a bias generated when the response rate is a function of the variables of interest. In this study, we studied a case where the response rate function is linear and the error of the super population model follows normal distribution. We also examined the effect of the number of stratum population on bias adjustment. The performance of the proposed estimator was examined through simulation studies and confirmed through actual data analysis.

Development of a Aerostatic Guideway Driven by the Linear Motor (리니어모터를 이용한 초정밀 공기정압안내면 개발)

  • 박종하;황주호;박천홍;홍준희
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2003.10a
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    • pp.36-40
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    • 2003
  • In order to discuss the availability of aerostatic guideways driven by the coreless linear motor to ultra precision machine tools, a prototype of guideway is designed and tested in this research. A coreless linear DC motor with the continuous force of 156N and a laser scale with the resolution of $0.01\mu\textrm{m}$ are used as the feeding system. The experiments are performed on the static stiffness, motion accuracy, positioning accuracy, microstep response and variation of velocity. The guideway also has $0.21\mu\textrm{m}$ of positioning error and $0.09\mu\textrm{m}$ of repeatability, and it shows the stable response against the $0.01\mu\textrm{m}$ resolution step command. The velocity variation of feeding system is less than 0.6%. From these results, it is confirmed that the aerostatic guideway driven by the coreless linear motion is very useful for the ultra precision machine tools.

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Analysis of impact response and damage in laminated composite cylindrical shells undergoing large deformations

  • Kumar, Surendra
    • Structural Engineering and Mechanics
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    • v.35 no.3
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    • pp.349-364
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    • 2010
  • The impact behaviour and the impact-induced damage in laminated composite cylindrical shell subjected to transverse impact by a foreign object are studied using three-dimensional non-linear transient dynamic finite element formulation. A layered version of 20 noded hexahedral element incorporating geometrical non-linearity is developed based on total Langragian approach. Non-linear system of equations resulting from non-linear strain displacement relation and non-linear contact loading are solved using Newton-Raphson incremental-iterative method. Some example problems of graphite/epoxy cylindrical shell panels are considered with variation of impactor and laminate parameters and influence of geometrical non-linear effect on the impact response and the resulting damage is investigated.