• Title/Summary/Keyword: free-vibration

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Evaluation of vertical dynamic characteristics of cantilevered tall structures

  • Li, Q.S.;Xu, J.Y.;Li, G.Q.
    • Structural Engineering and Mechanics
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    • v.11 no.4
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    • pp.357-372
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    • 2001
  • In this paper, cantilevered tall structures are treated as cantilever bars with varying cross-section for the analysis of their free longitudinal (or axial) vibrations. Using appropriate transformations, exact analytical solutions to determine the longitudinal natural frequencies and mode shapes for a one step non-uniform bar are derived by selecting suitable expressions, such as exponential functions, for the distributions of mass and axial stiffness. The frequency equation of a multi-step bar is established using the approach that combines the transfer matrix procedure or the recurrence formula and the closed-form solutions of one step bars, leading to a single frequency equation for any number of steps. The Ritz method is also applied to determine the natural frequencies and mode shapes in the vertical direction for cantilevered tall structures with variably distributed stiffness and mass. The formulae proposed in this paper are simple and convenient for engineering applications. Numerical example shows that the fundamental longitudinal natural frequency and mode shape of a 27-storey building determined by the proposed methods are in good agreement with the corresponding measured data. It is also shown that the selected expressions are suitable for describing the distributions of axial stiffness and mass of typical tall buildings.

Approximate evaluations and simplified analyses of shear- mode piezoelectric modal effective electromechanical coupling

  • Benjeddou, Ayech
    • Advances in aircraft and spacecraft science
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    • v.2 no.3
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    • pp.275-302
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    • 2015
  • Theoretical and numerical assessments of approximate evaluations and simplified analyses of piezoelectric structures transverse shear modal effective electromechanical coupling coefficient (EMCC) are presented. Therefore, the latter is first introduced theoretically and its approximate evaluations are reviewed; then, three-dimensional (3D) and simplified two-dimensional (2D) plane-strain (PStrain) and plane-stress (PStress) piezoelectric constitutive behaviors of electroded shear piezoceramic patches are derived and corresponding expected short-circuit (SC) and open-circuit (OC) frequencies and resulting EMCC are discussed; next, using a piezoceramic shear sandwich beam cantilever typical benchmark, a 3D finite element (FE) assessment of different evaluation techniques of the shear modal effective EMCC is conducted, including the equipotential (EP) constraints effect; finally, 2D PStrain and PStress FE modal analyses under SC and OC electric conditions, are conducted and corresponding results (SC/OC frequencies and resulting effective EMCC) are compared to 3D ones. It is found that: (i) physical EP constraints reduce drastically the shear modal effective EMCC; (ii) PStress and PStrain results depend strongly on the filling foam stiffness, rendering inadequate the use of popular equivalent single layer models for the transverse shear-mode sandwich configuration; (iii) in contrary to results of piezoelectric shunted damping and energy harvesting popular single-degree-of-freedom-based models, transverse shear modal effective EMCC values are very small in particular for the first mode which is the common target of these applications.

Earthquake Simulation Tests of a 1 :5 Scale 3-Story Masonry-Infilled Reinforced Concrete Frame

  • Lee, Han-Seon;Woo, Sung-Woo;Heo, Yun-Sup
    • KCI Concrete Journal
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    • v.11 no.3
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    • pp.153-164
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    • 1999
  • The objective of this research is to observe the actual response of a low-rise nonseismic moment-resisting masonry-infilled reinforced concrete frame subjected to varied levels of earthquake ground motions. The reduction scale for the model was determined as 1 : 5 considering the capacity of the shaking table to be used. This model was, then, subjected to the shaking table motions simulating Taft N2IE component earthquake ground motion, whose peak ground acceleration(PGA) was modified to 0.12g, 0.2g, 0.3g, and 0.4g. The g1oba1 behavior and failure mode were observed. The lateral accelerations and displacements at each story and local deformations at the critical portions of the structure were measured. Before and after each earthquake simulation test, free vibration tests and white noise tests were performed to find the changes in the natural period of the model. When the results of the masonry-infilled frame are compared with those of the bare frame, it can be recognized that masonry infills contribute to the large increase in the stiffness and strength of the g1oba1 structure whereas it also accompanies the increase of earthquake inertia forces. However, it is judged that masonry infills may be beneficial to the performance of the structure since the rate of increase in strength appears to be greater than that of the induced earthquake inertia forces.

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A novel two-dimensional approach to modelling functionally graded beams resting on a soil medium

  • Chegenizadeh, Amin;Ghadimi, Behzad;Nikraz, Hamid;Simsek, Mesut
    • Structural Engineering and Mechanics
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    • v.51 no.5
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    • pp.727-741
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    • 2014
  • The functionally graded beam (FGB) is investigated in this study on both dynamic and static loading in case of resting on a soil medium rather than on the usual Winkler-Pasternak elastic foundation. The powerful ABAQUS software was used to model the problem applying finite element method. In the present study, two different soil models are taken into account. In the first model, the soil is assumed to be an elastic plane stress medium. In the second soil model, the Drucker-Prager yield criterion, which is one of the most well-known elastic-perfectly plastic constitutive models, is used for modelling the soil medium. The results are shown to evaluate the effects of the different soil models, stiffness values of the elastic soil medium on the normal and shear stress and free vibration properties. A comparison was made to those from the existing literature. Numerical results show that considering real soil as a continuum space affects the results of the bending and the modal properties significantly.

Structural Optimization of Vibration-free PBD(Plastic Board Drain) Construction Equipments (무진동 PBD(플라스틱 보드 드레인) 시공장비 구조 최적 설계)

  • Oh, Sung-Hoon
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.8 no.5
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    • pp.1300-1305
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    • 2007
  • Plastic board drain is one of the methods to reinforce weak soil, and it has been widely used because of economical efficiency, convenience of construction, and ease of quality control. The weight of PBD equipment which places PBD perpendicularly underground in the depth of 40m has to be minimized to obtain convenience installation and movement while standing against press drawing load. In this study, the performance of stability was evaluated with stress distribution at the steel construction of former equipment by structural analysis: And the steel construction which can increase strength while reducing the weight was also presented. As a result of this study, presented construction can obtain more stability by use of the weight 700kg lighter than the former one.

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Development of Fire Control System with an Analysis of Impact Vibration and Impact Energy (충격체의 진동 및 충격량 분석을 이용한 사격 통제장비 개발)

  • Lee, Dong-Hee;Lee, Jong-Heon;Youn, Ju-Houc;Park, Noh-Sik
    • The Transactions of the Korean Institute of Power Electronics
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    • v.16 no.1
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    • pp.58-63
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    • 2011
  • This paper presents a development of a fire control system with an intelligent judgment algorithm of hit or not. The presented algorithm analyzes an impact energy and impact signals according to impact materials. And the detected signals are used to judge the correct hit or not. Furthermore, Zigbee wireless communication technology is applied in the developed fire control system. The wireless communication technology can supply a simple installation of the practical system and free from ageing of communication wire. The presented system is verified in the practical fire test, and the results show the effectiveness of the development system.

6-Axes Articulated Robot Manipulator's Gain Tuning in consideration of dynamic specific (수직 다관절 로봇의 동적 특성을 고려한 Gain Tuning 연구)

  • Chung W.J.;Kim H.G.;Kim K.J.;Kim K.T.;Seo Y.G.;Lee K.S.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.744-747
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    • 2005
  • This research studied 6-Axes Articulated Robot Manipulator's gain Tuning in consideration of dynamic. First of all, search fur proportional gain of velocity control loop by dynamic signal analyzer. Proportional gain of velocity control loop is connected to dynamic signal analyzer. Next Select free Proportional Gain value. And Select amplitude X of sinusoidal properly so that enough Velocity Feedback Signal may be paid as there is no group to utensil department. Next step, We can get Bode Diagram of Closed loop transfer function response examination in interested frequency. Integral calculus for gain of velocity loop is depended on integral calculus correction's number. We can obtain open loop transfer function by integrator. And we can know bode diagram's special quality from calculated open loop transfer function. With this, Velocity Control Loop's Parameter as inner loop is controlled. Next In moving, when vibration occurs, it controls notch filter. And finally, we have to control fred-forward filter parameter for elevation of control performance.

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Material Property Estimation of Paper for Dynamic Behavior Simulation (동적 거동 시뮬레이션을 위한 종이의 물성치 추정)

  • Lee, Geun-Pyo;Choi, Jin-Hwan;Lee, Soon-Geul
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.5
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    • pp.103-111
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    • 2008
  • This study proposes a technique to estimate the material property of a paper by using an experimental methods and commercial CAE software. Under gravitation, if one side of the paper is attached to the ground, the opposite side of paper is largely deformed, and vibrates freely. Since the paper has an orthotropic characteristic due to its treatment, the deformations in two orthogonal directions of the dry paper are different. An experimental method to measure the static deformation of the paper introduces this phenomenon. And dynamic behavior, frequency of free vibration is measured. And then. virtual prototypes that can represent the static and dynamic behavior are modeled by using the commercial CAE software $RecurDyn^{MT}$/MTT3D, which has been widely used by the printer makers. While comparing the deformation and frequency from the experiment and simulation, a design optimization technique in the commercial CAE software of R-INOPL, $RecurDyn^{TM}$/AutoDesign is used to estimate the material property such as Young's modulus, shear modulus and density of the paper.

Verification of Damage Detection Using In-Service Time Domain Response (사용중 시간영역응답을 이용한 손상탐지이론의 검증)

  • Choi, Sang-Hyun;Kim, Dae-Hyork;Park, Nam-Hoi
    • Journal of the Korean Society of Hazard Mitigation
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    • v.9 no.5
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    • pp.9-13
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    • 2009
  • Modal parameters including resonant frequencies and mode shapes are heavily utililized in most damage identification throries for structural health monitoring. However, extracting modal parameters from dynamic responses needs postprocessing which inevitably involves errors in curve-fitting resonants as well as transforming the domain of responses. In this paper, the applicability of a damage identification method based on free vibration responses to the in-sevice responses is experimentally verified. The experiment is performed via applying periodic and nonperiodic moving loads to a simply supported beam and displacement responses are measured. The moving load is simulated using steel balls and a downhill device. The damage identification results show that the in-service response may be applicable to identifying damage in the beam.

Vibrational characteristic of FG porous conical shells using Donnell's shell theory

  • Yan, Kai;Zhang, Yao;Cai, Hao;Tahouneh, Vahid
    • Steel and Composite Structures
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    • v.35 no.2
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    • pp.249-260
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    • 2020
  • The main purpose of this research work is to investigate the free vibration of conical shell structures reinforced by graphene platelets (GPLs) and the elastic properties of the nanocomposite are obtained by employing Halpin-Tsai micromechanics model. To this end, a shell model is developed based on Donnell's theory. To solve the problem, the analytical Galerkin method is employed together with beam mode shapes as weighting functions. Due to importance of boundary conditions upon mechanical behavior of nanostructures, the analysis is carried out for different boundary conditions. The effects of boundary conditions, semi vertex angle, porosity distribution and graphene platelets on the response of conical shell structures are explored. The correctness of the obtained results is checked via comparing with existing data in the literature and good agreement is eventuated. The effectiveness and the accuracy of the present approach have been demonstrated and it is shown that the Donnell's shell theory is efficient, robust and accurate in terms of nanocomposite problems.