• Title/Summary/Keyword: Natural Vibration Frequency

Search Result 2,149, Processing Time 0.034 seconds

Safety Evaluation of Concert Hall Floor Vibration Using Numerical Analysis Model (수치해석모델을 이용한 콘서트 홀 바닥진동 안전성 평가)

  • Roh, Ji-Eun;Heo, Seok-Jae;Moon, Dae-Ho;Lee, Sang-Hyun;Rha, Chang-Soon
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.30 no.6
    • /
    • pp.469-477
    • /
    • 2017
  • In this paper, the floor vibration of an example concert hall building was measured and floor safety criteria were analytically checked through comparison between experimental and analytical results. The floor bottom plate model was constructed considering the composite effect and the analytical model was modified to have the natural frequency identical to the measured one. Also, time history analysis was conducted using the dynamic loads induced by human rhythmic movement during a musical performance, and the analytically calculated floor accelerations were similar to the measured one. Based on this model, the floor vibration level due to the group activities of about 400 persons, maximum available persons for the concert hall, was estimated. It was confirmed that the human induced dynamic loads applied to the column and beam would be much lower than the design strength. In addition, the horizontal acceleration level is just 2% of the design seismic load, so the concert hall is safe in both vertical and horizontal excitations by human rhythmic movements.

Nonlocal elasticity effects on free vibration properties of sigmoid functionally graded material nano-scale plates (S형상 점진기능재료 나노-스케일 판의 자유진동 특성에 미치는 비국소 탄성 효과)

  • Kim, Woo-Jung;Lee, Won-Hong;Park, Weon-Tae;Han, Sung-Cheon
    • Journal of the Korea Academia-Industrial cooperation Society
    • /
    • v.15 no.2
    • /
    • pp.1109-1117
    • /
    • 2014
  • We study free vibration analysis of sigmoid functionally graded materials(S-FGM) nano-scale plates, using a nonlocal elasticity theory of Eringen in this paper. This theory has ability to capture the both small scale effects and sigmoid function in terms of the volume fraction of the constituents for material properties through the plate thickness. Numerical solutions of S-FGM nano-scale plate are presented using this theory to illustrate the effect of nonlocal theory on natural frequency of the S-FGM nano-scale plates. The relations between nonlocal and local theories are discussed by numerical results. Further, effects of (i) power law index (ii) nonlocal parameters, (iii) elastic modulus ratio and (iv) thickness and aspect ratios on nondimensional frequencies are investigated. In order to validate the present solutions, the reference solutions are compared and discussed. The results of S-FGM nano-scale plates using the nonlocal theory may be the benchmark test for the free vibration analysis.

Elasticity solution and free vibrations analysis of laminated anisotropic cylindrical shells

  • Shakeri, M.;Eslami, M.R.;Yas, M.H.
    • Structural Engineering and Mechanics
    • /
    • v.7 no.2
    • /
    • pp.181-202
    • /
    • 1999
  • Dynamic response of axisymmetric arbitrary laminated composite cylindrical shell of finite length, using three-dimensional elasticity equations are studied. The shell is simply supported at both ends. The highly coupled partial differential equations are reduced to ordinary differential equations (ODE) with variable coefficients by means of trigonometric function expansion in axial direction. For cylindrical shell under dynamic load, the resulting differential equations are solved by Galerkin finite element method, In this solution, the continuity conditions between any two layer is satisfied. It is found that the difference between elasticity solution (ES) and higher order shear deformation theory (HSD) become higher for a symmetric laminations than their unsymmetric counterpart. That is due to the effect of bending-streching coupling. It is also found that due to the discontinuity of inplane stresses at the interface of the laminate, the slope of transverse normal and shear stresses aren't continuous across the interface. For free vibration analysis, through dividing each layer into thin laminas, the variable coefficients in ODE become constants and the resulting equations can be solved exactly. It is shown that the natural frequency of symmetric angle-ply are generally higher than their antisymmetric counterpart. Also the results are in good agreement with similar results found in literatures.

Identification of modal damping ratios of structures with closely spaced modal frequencies

  • Chen, J.;Xu, Y.L.
    • Structural Engineering and Mechanics
    • /
    • v.14 no.4
    • /
    • pp.417-434
    • /
    • 2002
  • This paper explores the possibility of using a combination of the empirical mode decomposition (EMD) and the Hilbert transform (HT), termed the Hilbert-Huang transform (HHT) method, to identify the modal damping ratios of the structure with closely spaced modal frequencies. The principle of the HHT method and the procedure of using the HHT method for modal damping ratio identification are briefly introduced first. The dynamic response of a two-degrees-of-freedom (2DOF) system under an impact load is then computed for a wide range of dynamic properties from well-separated modal frequencies to very closely spaced modal frequencies. The natural frequencies and modal damping ratios identified by the HHT method are compared with the theoretical values and those identified using the fast Fourier transform (FFT) method. The results show that the HHT method is superior to the FFT method in the identification of modal damping ratios of the structure with closely spaced modes of vibration. Finally, a 36-storey shear building with a 4-storey light appendage, having closely spaced modal frequencies and subjected to an ambient ground motion, is analyzed. The modal damping ratios identified by the HHT method in conjunction with the random decrement technique (RDT) are much better than those obtained by the FFT method. The HHT method performing in the frequency-time domain seems to be a promising tool for system identification of civil engineering structures.

Free Vibration Analysis of Perforated Shell Submerged in Fluid (유체에 잠긴 다공 원통형 쉘의 자유진동해석)

  • Jhung Myung-Jo;Jo Jong-Chull
    • Journal of the Computational Structural Engineering Institute of Korea
    • /
    • v.19 no.3 s.73
    • /
    • pp.247-258
    • /
    • 2006
  • For the perforated cylindrical shell submerged in fluid, it is almost impossible to develop a finite element model due to the necessity of the fine meshing of the shell and the fluid at the same time. This necessitates the use of solid shell with equivalent material properties. Unfortunately the effective elastic constants are not found in any references even though the ASME code is suggesting those for perforated plate. Therefore in this study the equivalent material properties of perforated shell are suggested by performing several finite element analyses with respect to the ligament efficiencies.

Motion-based design of TMD for vibrating footbridges under uncertainty conditions

  • Jimenez-Alonso, Javier F.;Saez, Andres
    • Smart Structures and Systems
    • /
    • v.21 no.6
    • /
    • pp.727-740
    • /
    • 2018
  • Tuned mass dampers (TMDs) are passive damping devices widely employed to mitigate the pedestrian-induced vibrations on footbridges. The TMD design must ensure an adequate performance during the overall life-cycle of the structure. Although the TMD is initially adjusted to match the natural frequency of the vibration mode which needs to be controlled, its design must further take into account the change of the modal parameters of the footbridge due to the modification of the operational and environmental conditions. For this purpose, a motion-based design optimization method is proposed and implemented herein, aimed at ensuring the adequate behavior of footbridges under uncertainty conditions. The uncertainty associated with the variation of such modal parameters is simulated by a probabilistic approach based on the results of previous research reported in literature. The pedestrian action is modelled according to the recommendations of the Synpex guidelines. A comparison among the TMD parameters obtained considering different design criteria, design requirements and uncertainty levels is performed. To illustrate the proposed approach, a benchmark footbridge is considered. Results show both which is the most adequate design criterion to control the pedestrian-induced vibrations on the footbridge and the influence of the design requirements and the uncertainty level in the final TMD design.

An Implementation Method of Linearized Equations of Motion for Multibody Systems with Closed Loops

  • Bae, D.S.
    • Transactions of the Korean Society of Machine Tool Engineers
    • /
    • v.12 no.2
    • /
    • pp.71-78
    • /
    • 2003
  • This research proposes an implementation method of linearized equations of motion for multibody systems with closed loops. The null space of the constraint Jacobian is first pre-multiplied to the equations of motion to eliminate the Lagrange multiplier and the equations of motion are reduced down to a minimum set of ordinary differential equations. The resulting differential equations are functions of all relative coordinates, velocities, and accelerations. Since the variables are tightly coupled by the position, velocity, and acceleration level coordinates, direct substitution of the relationships among these variables yields very complicated equations to be implemented. As a consequence, the reduced equations of motion are perturbed with respect to the variations of all variables, which are coupled by the constraints. The position velocity and acceleration level constraints are also perturbed to obtain the relationships between the variations of all relative coordinates, velocities, and accelerations and variations of the independent ones. The Perturbed constraint equations are then simultaneously solved for variations of all variables only in terms of the variations of the independent variables. Finally, the relationships between the variations of all variables and these of the independent ones are substituted into the variational equations of motion to obtain the linearized equations of motion only in terms of the independent variables variations.

A Study of the Development of the Composite Rotor Blade for Unmanned Helicopter (무인헬리콥터용 복합재료 로터 블레이드 개발에 관한 연구)

  • Sim J.W.;Kee Y.J.;Kim S.B.;Kim S.H.;Ko E.H.;Chi K.H.;Kim S.K.;Chung C.H.
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 2005.06a
    • /
    • pp.1385-1389
    • /
    • 2005
  • This paper describes the design, analysis and manufacture procedure of the composite blade for hingeless rotor system of unmanned helicopters. Helicopter rotor system is the key structural unit that produces thrust and control forces for intended flight conditions. In this work, a hingeless rotor system is adopted, and base on the design requirements for rotor system, composite blade section design and calculation of material properties were performed. In order to avoid the unstable state such as resonance, vibration characteristics of rotor system were analyzed. Finally, this paper describes the forming and manufacture of composite blade.

  • PDF

Analysis of Rolled Beam Bridge by means of Specially Orthotropic Laminates Theory (특별직교이방성 적층판이론에 의한 압연형교의 해석)

  • Han, Bong-Koo;Lee, Chang-Soo
    • Journal of the Korean Society for Advanced Composite Structures
    • /
    • v.1 no.3
    • /
    • pp.35-40
    • /
    • 2010
  • The specially orthotropic plate theory is used for analysis of panels made of girders and cross-beams. The cross-sections of both girders and cross-beams are H-types. The results of application of this method to rolled beam bridge by using specially orthotropic plate theory is presented. The result is compared with that of the beam theory. Finite difference method is used for this purpose. The influence of the $D_{22}$ stiffness on the natural frequency is rigorously investigated. According to numerical examination given in this paper, the result by the plate theory is 2.43 times stiffer than that of beam theory.

  • PDF

Design of a High Stiffness Machining Robot Arm with Double Parallel Mechanism (기계가공작업을 위한 강성이 큰 2단 평행구조 로보트 암 설계)

  • 이민기
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.19 no.1
    • /
    • pp.22-37
    • /
    • 1995
  • Industrial robot has played a central role in the production automation such as welding, assembling, and painting. There has been, however, little effort to the application of robots in machining work(grinding, cutting, milling, etc.) which is typical 3D work. The machining automation requires a high stiffness robot arm to reduce deformation and vibration. Conventional articulated robots have serially connecting links from the base to the gripper. So, they have very weak structure for he machining work. Stewart Platform is a typical parallel robotic mechanism with a very high stiffness but it has a small work space and a large installation space. This research proposes a new machining robot arm with a double parallel mechanism. It is composed of two platforms and a central axis. The central axis will connect the motions between the first and the second platforms. Therefore, the robot has a large range of work space as well as a high stiffness. This paper will introduce the machining work using the robot and design the proposed robot arm.