• 제목/요약/키워드: non-linear dynamic

검색결과 691건 처리시간 0.023초

A novel approach to the form-finding of membrane structures using dynamic relaxation method

  • Labbafi, S. Fatemeh;Sarafrazi, S. Reza;Gholami, Hossein;Kang, Thomas H.K.
    • Advances in Computational Design
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    • 제2권3호
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    • pp.123-141
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    • 2017
  • Solving a system of linear or non-linear equations is required to analyze any kind of structures. There are many ways to solve a system of equations, and they can be classified as implicit and explicit techniques. The explicit methods eliminate round-off errors and use less memory. The dynamic relaxation method (DR) is one of the powerful and simple explicit processes. The important point is that the DR does not require to store the global stiffness matrix, for which it just uses the residual loads vector. In this paper, a new approach to the DR method is expressed. In this approach, the damping, mass and time steps are similar to those of the traditional method of dynamic relaxation. The difference of this proposed method is focused on the method of calculating the damping. The proposed method is expressed such that the time step is constant, damping is equal to zero except in steps with maximum energy and the concentrated damping can be applied to minimize the energy of system in this step. In this condition, the calculation of damping in all steps is not required. Then the volume of computation is reduced. The DR method for form-finding of membrane structures is employed in this paper. The form-finding of the three plans related to the membrane structures with different loading is considered to investigate the efficiency of the proposed method. The numerical results show that the convergence rate based on the proposed method increases in all cases than other methods.

Incorporation preference for rubber-steel bearing isolation in retrofitting existing multi storied building

  • Islam, A.B.M. Saiful;Jumaat, Mohd Zamin;Hussain, Raja Rizwan;Hosen, Md. Akter;Huda, Md. Nazmul
    • Computers and Concrete
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    • 제16권4호
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    • pp.503-529
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    • 2015
  • Traditionally, multi-story buildings are designed to provide stiffer structural support to withstand lateral earthquake loading. Introducing flexible elements at the base of a structure and providing sufficient damping is an alternative way to mitigate seismic hazards. These features can be achieved with a device known as an isolator. This paper covers the design of base isolators for multi-story buildings in medium-risk seismicity regions and evaluates the structural responses of such isolators. The well-known tower building for police personnel built in Dhaka, Bangladesh by the Public Works Department (PWD) has been used as a case study to justify the viability of incorporating base isolators. The objective of this research was to establish a simplified model of the building that can be effectively used for dynamic analysis, to evaluate the structural status, and to suggest an alternative option to handle the lateral seismic load. A finite element model was incorporated to understand the structural responses. Rubber-steel bearing (RSB) isolators such as Lead rubber bearing (LRB) and high damping rubber bearing (HDRB) were used in the model to insert an isolator link element in the structural base. The nonlinearities of rubber-steel bearings were considered in detail. Linear static, linear dynamic, and nonlinear dynamic analyses were performed for both fixed-based (FB) and base isolated (BI) buildings considering the earthquake accelerograms, histories, and response spectra of the geological sites. Both the time-domain and frequency-domain approaches were used for dynamic solutions. The results indicated that for existing multi-story buildings, RSB diminishes the muscular amount of structural response compared to conventional non-isolated structures. The device also allows for higher horizontal displacement and greater structural flexibility. The suggested isolation technique is able to mitigate the structural hazard under even strong earthquake vulnerability.

LuGre Model-Based Neural Network Friction Compensator in a Linear Motor Stage

  • Horng, Rong-Hwang;Lin, Li-Ren;Lee, An-Chen
    • International Journal of Precision Engineering and Manufacturing
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    • 제7권2호
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    • pp.18-24
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    • 2006
  • This paper proposes a LuGre Model-Based Neural Network (MBNN) friction compensation algorithm for a linear motor stage. For matching the friction phenomena in both the motion-start region and the motion-reverse region, the LuGre dynamic model is employed into the proposed compensation algorithm. After training of the model-based neural network is completed, the estimated friction for compensation is obtained. From the obtained result we find that the new structure gains advantage over the non-friction compensation system on the performance of the compensator in both regions. The proposed compensator is evaluated and compared experimentally with an uncompensated system on a microcomputer controlled linear motor tracking system in the final section of the paper. The experimental results show the improvement on the maximum velocity error and the root mean square tracking error in the motion-start region ranges from 34% to 53% and from 53% to 75% respectively, and in the motion-reverse region from 48% to 65% and from 79% to 90% respectively.

폴리 아세틸렌의 비선형 광학성질에 대한 양자 역학적 고찰 (Non-Linear Optical Properties of Polyacetylene Using Ab Initio Time-Dependent Hartree-Fock Theory)

  • 김승준
    • 대한화학회지
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    • 제40권5호
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    • pp.317-326
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    • 1996
  • Linear polyenes, ($C_4H_6\;to\;C_{30}H_{32}$)의 frequency dependent longitudinal polarizablilty, ${\alpha}zz(\omega)$ 와 second hyperpolarizabilities, ${\gamma}zzzz(\omega)$를 6-31G basis set에서 ab initio TDHF 이론을 사용하여 계산하였다. 폴리 아세틸렌의 frequency dispersion effect를 보기 위하여 외부 전기장의 주파수 영역에 광학성질을 구한후 무한 사슬을 갖는 고분자에 대하여 extrapolate하였다. 이때걸어준 외부 전기장에서의 광학적 성질에 대한 static field 에서의 광학성질의 비를 사용하여 비공면 영역에서의 dispersion effect를 고찰하였다. 또한 광학성질에 대한 주변 사슬의 효과를 조사하였으며 공명이 일어나는 영역에서의 광학 성질을 계산하기 위한 이론적 방법을 제안하였다.

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An Analytical Solution for Regular Progressive Water Waves

  • Shin, JangRyong
    • Journal of Advanced Research in Ocean Engineering
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    • 제1권3호
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    • pp.157-167
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    • 2015
  • In order to provide simple and accurate wave theory in design of offshore structure, an analytical approximation is introduced in this paper. The solution is limited to flat bottom having a constant water depth. Water is considered as inviscid, incompressible and irrotational. The solution satisfies the continuity equation, bottom boundary condition and non-linear kinematic free surface boundary condition exactly. Error for dynamic condition is quite small. The solution is suitable in description of breaking waves. The solution is presented with closed form and dispersion relation is also presented with closed form. In the last century, there have been two main approaches to the nonlinear problems. One of these is perturbation method. Stokes wave and Cnoidal wave are based on the method. The other is numerical method. Dean's stream function theory is based on the method. In this paper, power series method was considered. The power series method can be applied to certain nonlinear differential equations (initial value problems). The series coefficients are specified by a nonlinear recurrence inherited from the differential equation. Because the non-linear wave problem is a boundary value problem, the power series method cannot be applied to the problem in general. But finite number of coefficients is necessary to describe the wave profile, truncated power series is enough. Therefore the power series method can be applied to the problem. In this case, the series coefficients are specified by a set of equations instead of recurrence. By using the set of equations, the nonlinear wave problem has been solved in this paper.

라벤더 향 자극에 대한 EEG 생체신호의 비선형 분석 (A Study on EEG bionic signals management for using the non-linear analysis methods)

  • 강근;안광민;이형
    • 한국정보기술응용학회:학술대회논문집
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    • 한국정보기술응용학회 2002년도 추계공동학술대회 정보환경 변화에 따른 신정보기술 패러다임
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    • pp.461-467
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    • 2002
  • 뇌에서 얻은 시계열 신호들은 대부분 불규칙하고 복잡한 파형을 가지고 있으며, 1980년대 중반까지만 해도 이러한 신호들은 확률론 과정(stochastic process)으로 발생된 '소음'(noise)으로 여겨졌다. 하지만 최근 들어 뇌에 관한 연구가 활발히 진행되었고 EEG를 이용한 생체신호의 비선형분석에 관한 연구가 진행되면서 뇌에서 발생되는 신호는 의미 있는 신호로 분석되어지고 있다. 이에 비선형 분석방법인 상관차원을 이용하여 라벤더 향기 전과 향기 후의 뇌파의 변화를 분석하고, 주파수 대역별로 delta파, theta파, alpha파, beta파로 나누어서 라벤더 향이 뇌에 미치는 영향을 분석한다. 즉, 뇌에서 발생되는 신호의 특징을 찾기 위해 다른 향보다 강하게 반응하는 라벤더 향을 후각자극으로 제시하여 EEG를 측정한 후, 16채널에 대한 상관차원을 구하고 라벤더 향이 뇌에 미치는 영향을 분석한다.

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폴리우레탄 폼 비선형 압축 거동 해석용 온도 의존 손상 점소성 구성방정식 (Temperature-Dependent Viscoplastic-Damage Constitutive Model for Nonlinear Compressive Behavior of Polyurethane Foam)

  • 이정호;김슬기;이제명
    • 한국전산구조공학회논문집
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    • 제29권5호
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    • pp.437-445
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    • 2016
  • 현재 많은 산업에서 구조물의 온도환경 유지를 위한 단열재로 폴리우레탄 폼이 사용되며, 수명 동안 정적 및 동적의 다양한 하중이 이에 부과된다. 폴리우레탄 폼은 고분자재료로써 다공성이며, 단열성능은 내부기공의 크기에 크게 의존한다. 또한, 폴리우레탄 폼의 기계적 거동은 변형률 속도 및 온도에 대한 의존성이 큰 동시에 압축에 대하여 큰 비선형 연성거동을 보인다. 이러한 비선형 연성 압축거동 중에 폴리우레탄 폼은 변형률의 증가에 따라 기공율과 탄성계수의 감소를 보인다. 따라서 본 연구에서는 상기 특성들을 포함한 폴리우레탄 폼의 변형률 속도 및 온도 의존 비선형 압축거동을 모사하기 위하여 온도 의존 손상 점소성 구성방정식이 개발되었다.

라벤더 향 자극에 대한 EEG 생체신호의 비선형 분석 (A Study on EEG bionic signals management for using the non-linear analysis methods)

  • 강근;안광민;이형
    • 한국산업정보학회:학술대회논문집
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    • 한국산업정보학회 2002년도 추계공동학술대회
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    • pp.461-467
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    • 2002
  • 뇌에서 얻은 시계열 신호들은 대부분 불규칙하고 복잡한 파형을 가지고 있으며, 1980년대 중반까지만 해도 이러한 신호들은 확률론 과정(stochastic process)으로 발생된 '소음'(noise)으로 여겨졌다. 하지만 최근 들어 뇌에 관한 연구가 활발히 진행되었고 EEG를 이용한 생체신호의 비선형 분석에 관한 연구가 진행되면서 뇌에서 발생되는 신호는 의미 있는 신호로 분석되어지고 있다. 이에 비선형 분석방법인 상관차원을 이용하여 라벤더 향기 전과 향기 후의 뇌파의 변화를 분석하고, 주파수 대역별로 delta파, theta파, alpha파, beta파로 나누어서 라벤더 향이 뇌에 미치는 영향을 분석한다. 즉, 뇌에서 발생되는 신호의 특징을 찾기 위해 다른 향보다 강하게 반응하는 라벤더 향을 후각 자극으로 제시하여 EEG를 측정한 후, 16채널에 대한 상관차원을 구하고 라벤더 향이 뇌에 미치는 영향을 분석한다.

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Numerical FEM assessment of soil-pile system in liquefiable soil under earthquake loading including soil-pile interaction

  • Ebadi-Jamkhaneh, Mehdi;Homaioon-Ebrahimi, Amir;Kontoni, Denise-Penelope N.;Shokri-Amiri, Maedeh
    • Geomechanics and Engineering
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    • 제27권5호
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    • pp.465-479
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    • 2021
  • One of the important causes of building and infrastructure failure, such as bridges on pile foundations, is the placement of the piles in liquefiable soil that can become unstable under seismic loads. Therefore, the overarching aim of this study is to investigate the seismic behavior of a soil-pile system in liquefiable soil using three-dimensional numerical FEM analysis, including soil-pile interaction. Effective parameters on concrete pile response, involving the pile diameter, pile length, soil type, and base acceleration, were considered in the framework of finite element non-linear dynamic analysis. The constitutive model of soil was considered as elasto-plastic kinematic-isotropic hardening. First, the finite element model was verified by comparing the variations on the pile response with the measured data from the centrifuge tests, and there was a strong agreement between the numerical and experimental results. Totally 64 non-linear time-history analyses were conducted, and the responses were investigated in terms of the lateral displacement of the pile, the effect of the base acceleration in the pile behavior, the bending moment distribution in the pile body, and the pore pressure. The numerical analysis results demonstrated that the relationship between the pile lateral displacement and the maximum base acceleration is non-linear. Furthermore, increasing the pile diameter results in an increase in the passive pressure of the soil. Also, piles with small and big diameters are subjected to yielding under bending and shear states, respectively. It is concluded that an effective stress-based ground response analysis should be conducted when there is a liquefaction condition in order to determine the maximum bending moment and shear force generated within the pile.

Free vibration analysis of non-prismatic beams under variable axial forces

  • Saffari, H.;Mohammadnejad, M.;Bagheripour, M.H.
    • Structural Engineering and Mechanics
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    • 제43권5호
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    • pp.561-582
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    • 2012
  • Despite popularity of FEM in analysis of static and dynamic structural problems and the routine applicability of FE softwares, analytical methods based on simple mathematical relations is still largely sought by many researchers and practicing engineers around the world. Development of such analytical methods for analysis of free vibration of non-prismatic beams is also of primary concern. In this paper a new and simple method is proposed for determination of vibration frequencies of non-prismatic beams under variable axial forces. The governing differential equation is first obtained and, according to a harmonic vibration, is converted into a single variable equation in terms of location. Through repetitive integrations, integral equation for the weak form of governing equation is derived. The integration constants are determined using the boundary conditions applied to the problem. The mode shape functions are approximated by a power series. Substitution of the power series into the integral equation transforms it into a system of linear algebraic equations. Natural frequencies are determined using a non-trivial solution for system of equations. Presented method is formulated for beams having various end conditions and is extended for determination of the buckling load of non-prismatic beams. The efficiency and convergence rate of the current approach are investigated through comparison of the numerical results obtained to those obtained using available finite element software.