• Title/Summary/Keyword: Exact dynamic elements

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Improved Static Element Stiffness Matrix of Thin-Walled Beam-Column Elements (박벽보-기둥 요소의 개선된 정적 요소강성행렬)

  • Yun, Hee Taek;Kim, Nam Il;Kim, Moon Young;Gil, Heung Bae
    • Journal of Korean Society of Steel Construction
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    • v.14 no.4
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    • pp.509-518
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    • 2002
  • In order to perform the spatial buckling and static analysis of the nonsymmetric thin-walled beam-column element, improved exact static stiffness matrices were evaluated using equilibrium equation and force-deformation relationships. This numerical technique was obtained using a generalized linear eigenvalue problem, by introducing 14 displacement parameters and system of linear algebraic equations with complex matrices. Unlike the evaluation of dynamic stiffness matrices, some zero eigenvalues were included. Thus, displacement parameters related to these zero eigenvalues were assumed as polynomials, with their exact distributions determined using the identity condition. The exact displacement functions corresponding to three loadingcases for initial stress-resultants were then derived, by consistently combining zero and nonzero eigenvalues and corresponding eigenvectors. Finally, exact static stiffness matrices were determined by applying member force-displacement relationships to these displacement functions. The buckling loads and displacement of thin-walled beam were evaluated and compared with analytic solutions and results using ABAQUS' shell element or straight beam element.

Latency in the Architectural Space of Mies van der Rohe (미스 반 데어 로에 건축공간의 잠복성)

  • Chung, Mann-Young;Choe, Eun-Guk
    • Journal of architectural history
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    • v.15 no.3
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    • pp.119-135
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    • 2006
  • This study based on the hypothesis which the spatial qualities in the Mies's early works are not extinct but potentially immanent in his latter works. In Mies's early works, destruction of outline, centrifugal extension of fluid space, and asymmetry are distinctly showed. These qualities probably revert to the indefiniteness of space. In Mies's latter works, however, these dynamic qualities are disappeared. Geometrically precise outline and exact grid structure represent universal space derived from zero-degree pure box. These qualities probably revert to tile definiteness of space, characterized by the unmovable emptiness. Although Mies works vary in external form, his expression technique of space reveals continually both the qualify of definitive and indefinitive space. For example, in the Museum for a Small City(1942) unbuilt project. elements defined by the perspective are fixed and static, but elements defined by the collages are floated and dynamic. The former reigns over the realized buildings of Mies, while the latter seems to be latent in terms of Schein which transcends reality. If we can penetrate this point, it's possible to read the other side of Mies' architectural works, distinct from both the canonized interpretation and the excessive criticism. Point is that later works of Mies must be understood as interplay of universal space appeared as phenomenon and flowing elements latent in. Architectural space of Mies keeps a distance with actual space through latent manner of being while preserves the empirical actuality It provides us with an occasion which appears only in an instant, in which even the ordinary things reveal its poetics.

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Exact solutions of vibration and postbuckling response of curved beam rested on nonlinear viscoelastic foundations

  • Nazira Mohamed;Salwa A. Mohamed;Mohamed A. Eltaher
    • Advances in aircraft and spacecraft science
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    • v.11 no.1
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    • pp.55-81
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    • 2024
  • This paper presents the exact solutions and closed forms for of nonlinear stability and vibration behaviors of straight and curved beams with nonlinear viscoelastic boundary conditions, for the first time. The mathematical formulations of the beam are expressed based on Euler-Bernoulli beam theory with the von Karman nonlinearity to include the mid-plane stretching. The classical boundary conditions are replaced by nonlinear viscoelastic boundary conditions on both sides, that are presented by three elements (i.e., linear spring, nonlinear spring, and nonlinear damper). The nonlinear integro-differential equation of buckling problem subjected to nonlinear nonhomogeneous boundary conditions is derived and exactly solved to compute nonlinear static response and critical buckling load. The vibration problem is converted to nonlinear eigenvalue problem and solved analytically to calculate the natural frequencies and to predict the corresponding mode shapes. Parametric studies are carried out to depict the effects of nonlinear boundary conditions and amplitude of initial curvature on nonlinear static response and vibration behaviors of curved beam. Numerical results show that the nonlinear boundary conditions have significant effects on the critical buckling load, nonlinear buckling response and natural frequencies of the curved beam. The proposed model can be exploited in analysis of macrosystem (airfoil, flappers and wings) and microsystem (MEMS, nanosensor and nanoactuators).

Detection of damage in truss structures using Simplified Dolphin Echolocation algorithm based on modal data

  • Kaveh, Ali;Vaez, Seyed Rohollah Hoseini;Hosseini, Pedram;Fallah, Narges
    • Smart Structures and Systems
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    • v.18 no.5
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    • pp.983-1004
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    • 2016
  • Nowadays, there are two classes of methods for damage detection in structures consisting of static and dynamic. The dynamic methods are based on studying the changes in structure's dynamic characteristics. The theoretical basis of this method is that damage causes changes in dynamic characteristics of structures. The dynamic methods are divided into two categories: signal based and modal based. The modal based methods utilize the modal properties consisting of natural frequencies, modal damping and mode shapes. As the modal properties are sensitive to changes in the structure, these can be used for detecting the damages. In this study, using dynamic method and modal based approach (natural frequencies and mode shapes), the objective function is formulated. Then, detection of damages of truss structures is addressed by using Simplified Dolphin Echolocation algorithm and solving inverse optimization problem. Many scenarios are used to simulate the damages. To demonstrate the ability of the algorithm, different truss structures with several multiple elements scenarios are tested using a few runs. The influence of the two different levels of noise in the modal data for these scenarios is also considered. The last example of this article is investigated using a different mutation. This mutation obtains the exact answer with fewer loops and population by limited computational effort.

Stick-slip Friction Modeling and Performance Comparison of a Precise Linear Actuator (정밀 직선구동 액츄어에이터의 스틱슬립 마찰 모형화 및 성능특성 비교)

  • Kim, Sang-Chae;Kim, Soo-Hyun
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.4
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    • pp.64-71
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    • 2001
  • In general, precise linear actuators using piezoelectric element are driven by friction force. Exact understanding of friction plays an important role in analysis and control of a motor. In this research, we designed a precise linear actuator using piezoelectric elements and observed its dynamic characteristics. By varying phase angle difference and amplitudes of the sinusoidal waves that are driving inputs, we can know that it is possible to control moving direction and distance of the slider. As preload is increased, its moving distance is decreased. And also, we have modeled a precise linear actuator using stick slip friction models such as classical, Karnopp. and reset integrator. Finally, by comparing the results of simulation and experiment, it was verified that the model is well designed.

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Measurement of Calorific Value Using Flame Calorimeter (전자 소자를 이용한 연소열 측정)

  • Lim, Ki-Won;Jun, Jin-Young;Lee, Byeong-Jun
    • Journal of the Korean Society of Combustion
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    • v.15 no.3
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    • pp.40-47
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    • 2010
  • Calorific value of mixed gas, like liquefied natural gas (LNG), is strongly depends on its compositions which are affected by the mining place and producing time. The variation in calorific value have an direct influence on the combustion characteristics and performances of boiler, burner, vehicle, power plants etc. Thus, developing experimental method to measure exact calorific value is becoming an issue in the related industrial fields. Flame calorimeter is developed to get calorific value at the dynamic equilibrium state using electric substitution method. Refrigerant-11 carries heat from combustor and/or heater to the Peltier elements which pumped it out to the cooling water. It is found out that error in the measured calorific value of methane is 2.86% compared with the theoretical one. Developed design technique and the experimental data will be applied to design the national standard gas calorific value measuring apparatus.

Instability phenomena and their control in statics and dynamics: Application to deep and shallow truss and frame structures

  • Mejia-Nava, Rosa Adela;Ibrahimbegovic, Adnan;Lozano-Leal, Rogelio
    • Coupled systems mechanics
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    • v.9 no.1
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    • pp.47-62
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    • 2020
  • In this paper we study the control for nonlinear geometric instability problem of a deep or a shallow truss or yet a frame structure. All the structural models are built with geometrically exact truss and beam finite elements.The proposed models can successfully handle large overall motion under static or dynamic conservative load.The control strategy considers adding a damping from either friction device or viscous damper.This kind of control belong to well-known concept of passivity. Different examples are presented in order to illustrate the proposed theoretical developments.

A Refined Semi-Analytic Sensitivity Study Based on the Mode Decomposition and Neumann Series Expansion in Eigenvalue Problem(II) - Eigenvalue Problem - (강체모드분리와 급수전개를 통한 고유치 문제에서의 준해석적 설계 민감도 개선에 관한 연구(II) -동적 문제 -)

  • Kim, Hyun-Gi;Cho, Maeng-Hyo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.4
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    • pp.593-600
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    • 2003
  • Structural optimization often requires the evaluation of design sensitivities. The Semi Analytic Method(SAM) fur computing sensitivity is popular in shape optimization because this method has several advantages. But when relatively large rigid body motions are identified for individual elements. the SAM shows severe inaccuracy. In this study, the improvement of design sensitivities corresponding to the rigid body mode is evaluated by exact differentiation of the rigid body modes. Moreover. the error of the SAM caused by numerical difference scheme is alleviated by using a series approximation for the sensitivity derivatives and considering the higher order terms. Finally the present study shows that the refined SAM including the iterative method improves the results of sensitivity analysis in dynamic problems.

A study on the dynamic characteristic of printed circuit board considering the concept of simplified representative volume elements. (단순화된 볼륨 요소 개념을 고려한 인쇄회로기판 동특성에 관한 연구)

  • 서현석;김성훈;황도순;김대영;이상곤;이주훈;채장수;김태경;김춘삼
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.78-81
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    • 2002
  • Printed Circuit Boards for satellite are composed of multi-layered copper plate and glass epoxy. Each copper layer have the complicated and different pattern to operate correctly for its mission. Especially. copper layer give effect on the PCB stiffness seriously. But It can make more complicate to predict the exact stiffness of PCB. In KOMPSAT-2 program, too many type of PCB are used for each electronic unit, and they have different type of pattern of copper layer. Solar array regulator has two type of PCB and it will be considered for this study. In this study. we calculate the PCB board stiffness of KOMPSAT-2 SAR unit considering the concept of simplified representative volume element. It will be correlated with the test results under KOMPSAT-2 vibration environmental condition to increase the reliability of this study.

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A study on the improvement of shape design sensitivity in eigenvalue problems using semi-analytical method (반해석적 방법을 이용한 고유치 문제의 형상 설계 민감도 향상에 관한 연구)

  • 김현기;조맹효
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.159-166
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    • 2001
  • Structural optimization often requires the evaluation of design sensitivities. The Semi Aanalytic method(SAM) for computing sensitivity is popular in shape optimization because this method has several advantages. But when relatively large rigid body motions are identified for individual elements, the SA method shows severe inaccuracy. In this paper, the improvement of design sensitivities corresponding to the rigid body mode is evaluated by exact differentiation of the rigid body modes. Moreover, the error of the SA method caused by numerical difference scheme is alleviated by using a series approximation for the sensitivity derivatives and considering the higher order terms. Finally, this paper shows that the refined SA method including the iterative method improves the results of sensitivity analysis in dynamic problems.

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