• Title/Summary/Keyword: cantilever structures

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Dynamic response analysis for structures with interval parameters

  • Chen, Su Huan;Lian, Hua Dong;Yang, Xiao Wei
    • Structural Engineering and Mechanics
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    • v.13 no.3
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    • pp.299-312
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    • 2002
  • In this paper, a new method to solve the dynamic response problem for structures with interval parameters is presented. It is difficult to obtain all possible solutions with sharp bounds even an optimum scheme is adopted when there are many interval structural parameters. With the interval algorithm, the expressions of the interval stiffness matrix, damping matrix and mass matrices are developed. Based on the matrix perturbation theory and interval extension of function, the upper and lower bounds of dynamic response are obtained, while the sharp bounds are guaranteed by the interval operations. A numerical example, dynamic response analysis of a box cantilever beam, is given to illustrate the validity of the present method.

A Study on Failure Behavior of Structures by Modified Distinct Element Method (수정개별요소법을 이용한 구조물의 파괴거동에 관한 연구)

  • 김문겸;오금호;김상훈;김우진
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1996.10a
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    • pp.210-217
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    • 1996
  • Under strong shock loads including earthquake or blast, structures may start to crack in stress concentrated members. The continuous behavior of the structure changes to the discontinuous. In this study, numerical method analyzing continuous and discontinuous behavior of a structure is developed using a modified distinct element method. Equations of motion of each distinct element are integrated using the central difference method, one of the finite difference methods. Interactions between he elements are considered by an element and pore spring. The forces acting in the center of an element include contact stress transferred by element spring; tensile stress by pore spring; and external traction such as earthquake or blast load. To verify the proposed method, the behavior of the cantilever beam subject to the quasi-static concentrated force at the end is investigated. The failure behavior of the simply supported beam subject to the strong shock at the center is studied. The proposed method can predict the failure behavior of the structure due to the shock loading and the post-failure discontinuous behavior of the structure.

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Analysis of the Free Vibrations of Rectangular Plates Using Database (데이터베이스를 이용한 사각평판의 자유진동 해석)

  • No, Seung-Hun;Jo, Han-Jung;Choe, Eun-Hwan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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    • pp.1978-1990
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    • 2000
  • In this study, the free vibrations of the cantilever plate, which is one of the most frequently used elements in various machine structures, are analyzed and further the results are utilized to develop the methodology to predict and control the natural frequencies for designing stabilized systems. The proposed method has three major steps. The first step is the frequency response test to investigate the natural frequencies of some plates, then the database is constituted from experiments and the FEM, and finally the natural frequencies are predicted using the database to be cross-checked by the identification test. The result of this study will help design many different stable structures without any complicated calculations.

High precision integration for dynamic structural systems with holonomic constraints

  • Liu, Xiaojian;Begg, D.W.;Devane, M.A.;Zhong, Wanxie
    • Structural Engineering and Mechanics
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    • v.5 no.3
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    • pp.283-295
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    • 1997
  • This paper presents a high precision integration method for the dynamic response analysis of structures with holonomic constraints. A detail recursive scheme suitable for algebraic and differential equations (ADEs) which incorporates generalized forces is established. The matrix exponential involved in the scheme is calculated precisely using $2^N$ algorithm. The Taylor expansions of the nonlinear term concerned with state variables of the structure and the generalized constraint forces of the ADEs are derived and consequently, their particular integrals are obtained. The accuracy and effectiveness of the present method is demonstrated by two numerical examples, a plane truss with circular slot at its tip point and a slewing flexible cantilever beam which is currently interesting in optimal control of robot manipulators.

Active and Semi-Active Vibration Control of Piezoelectric Smart Structures Using a Pseudo-Sensor-Output-Feedback Method (PSOF 방법을 이용한 압전 지능 구조물의 능동 및 반능동 진동제어)

  • 김영식;김영태;오동영
    • Journal of KSNVE
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    • v.9 no.1
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    • pp.70-76
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    • 1999
  • This paper presents a pseudo-sensor-output-feedback(PSOF) method for the vibration suppression of the flexible piezoelectric smart structures. This method reduces the modeling errors using pseudo sensors in the output equation formulation. It also reduces computation time in practice. since the output equation does not need the state observer required in the state space equation. Experimental works are performed for the validation of theoretical predictions with the piezoelectric sensor and actuator bonded on the cantilever beam. An algorithm based on the sliding mode control theory is developed and analyzed for the robustness to the modeling errors and parameter uncertainties. This study also discusses the characteristics of the active and semi-active systems.

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3 Dimensional Vibration Measurement of Structures Using GPS Carrier Phase (GPS 반송파를 이용한 구조물의 3차원 진동측정)

  • Suh, Dae-Wan;Lee, Young-Jae;Park, Hoon-Cheol;Yoon, Kwang-Joon;Jee, Gyu-In;Park, Chan-Gook
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1303-1310
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    • 2000
  • GPS carrier phase is supposed to provide the tool for the most precise 3 dimensional positioning information. The FAST, an OTF technique, has been developed by the GPS System Laboratory of Konkuk University, and has been shown several millimeter level accuracy in root-mean-square sense. This OTF's high precision positioning capability provides an adequate tool of low frequency vibration monitoring of large structures. In this paper, the possibility of vibration measurement of a cantilever beam using FAST has been tested, which is supposed to be extended to more practical applications. The results of the experiment have been compared with those by a strain gage and laser sensor.

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Imperfection sensitivity to elastic buckling of wind loaded open cylindrical tanks

  • Godoy, Luis A.;Flores, Fernando G.
    • Structural Engineering and Mechanics
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    • v.13 no.5
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    • pp.533-542
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    • 2002
  • This paper considers the buckling and post-buckling behavior of empty metal storage tanks under wind load. The structures of such tanks may be idealized as cantilever cylindrical shells, and the structural response is investigated using a computational model. The modeling employs a doubly curved finite element based on a theory by Simo and coworkers, which is capable of handling large displacements and plasticity. Buckling results for tanks with four different geometric relations are presented to consider the influence of the ratios between the radius and the height of the shell (R/L), and between the radius and the thickness (R/t). The studies aim to clarify the differences in the shells regarding their imperfection-sensitivity. The results show that thin-walled short tanks, with R/L = 3, display high imperfection sensitivity, while tanks with R/L = 0.5 are almost insensitive to imperfections. Changes in the total potential energy of tanks that would buckle under the same high wind pressures are also considered.

Stiffness and Strength of Composite Beams in Steel Building Structures Under Lateral Loading (횡하중을 받는 철골구조물에서 합성보의 강성과 강도)

  • 이승준
    • Computational Structural Engineering
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    • v.2 no.4
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    • pp.79-88
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    • 1989
  • The behavior of composite beams in steel building structures subjected to lateral loading is studied. Mathematical models for the stiffness of composite beams and the strength at the connections, which are dependent on details of the connections are developed based on the previous experimental results and the results from numerical analyses. Analytical models for the skeleton and hysteresis curves of cantilever composite beams are also presented. A single component model for the composite beam, consisting of elastic beam and the end springs at which all the inelstic deformations within a member are lumped, is implemented into the computer program, DRAIN-2D. And a comparison of analytical results is made with the experimental results.

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Finite element analysis of piezoelectric structures incorporating shunt damping (압전 션트 감쇠된 구조물의 유한요소해석)

  • 김재환
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.470-477
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    • 2002
  • Possibility of passive piezoelectric damping based on a new shunting parameter estimation method is studied using finite element analysis. The adopted tuning method is based electrical impedance that is found at piezoelectric device and the optimal criterion for maximizing dissipated energy at the shunt circuit. Full three dimensional finite element model is used for piezoelectric devices with cantilever plate structure and shunt electronic circuit is taken into account in the model. Electrical impedance is calculated at the piezoelectric device, which represents the structural behavior in terms of electrical field, and equivalent electrical circuit parameters for the first mode are extracted using PRAP (Piezoelectric Resonance Analysis Program). After the shunt circuit is connected to the equivalent circuit for the first mode, the shunt parameters are optimally decided based on the maximizing dissipated energy criterion. Since this tuning method is based on electrical impedance calculated at piezoelectric device, multi-mode passive piezoelectric damping can be implemented for arbitrary shaped structures.

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The Optimum Displacement Measurement to estimate Realtime States of Beam Structure (최적 변위 계측 방법에 의한 교량 휨부재의 상태 평가)

  • Kim, Hyung-Joong;Kim, Sung-Nam;Han, Taek-Hee;Kang, Young-Jong
    • Proceedings of the KSR Conference
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    • 2006.11b
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    • pp.376-380
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    • 2006
  • There are several methods which estimate the behavior of the Structures. Recently, several displacement measuring instruments such a GPS are substantially developed. So, considering this technique, displacement measurement will be a very efficient method for estimating the behavior of the Structures and maintenance. Therefore we need to develop methods of structure maintenance & management by using displacement measuring instruments. In this study, I suggest to maintenance & management method by using displacements about simple beams and cantilever beams which are very important structure in civil engineering. The results show that the proposed method is capable of estimating the displacement and stress of the Beam Member by combining the proper number of measurement and optimum measurement points.

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