• Title/Summary/Keyword: harmonic force excitation

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Dynamic responses of structures with sliding base

  • Tsai, Jiin-Song;Wang, Wen-Ching
    • Structural Engineering and Mechanics
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    • v.6 no.1
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    • pp.63-76
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    • 1998
  • This paper presents dynamic responses of structures with sliding base which limits the translation of external loads from ground excitation. A discrete element model based on the discontinuous deformation analysis method is proposed to study this sliding boundary problem. The sliding base is simulated using sets of fictitious contact springs along the sliding interface. The set of contact spring is to translate friction force from ground to superstructure. Validity of the proposed model is examined by the closed-form solutions of an idealized mass-spring structural model subjected to harmonic ground excitation. This model is also applied to a problem of a three-story structural model subjected to the ground excitation of 1940 El Centro earthquake. Analyses of both sliding-base and fixed-base conditions are performed as comparisons. This study shows that using this model can simulate the dynamic response of a sliding structure with frictional cut-off quite accurately. Results reveal that lowering the frictional coefficient of the sliding joint will reduce the peak responses. The structure responses in little deformation, but it displaces at the end of excitation.

Pre-processor programing for the vibrational characteristic of generator's stator (발전기 고정자의 진동특성을 위한 전처리기 프로그래밍)

  • Ahn, Chang-Gi;Bae, Yong-Chae;Ham, ji-woong;Lee, Dong-Woen
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2012.10a
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    • pp.476-481
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    • 2012
  • A plant's generator system under operating condition has been suffered the vibration from the excitation force with 120Hz. The vibration is generated in the stator end windings. For analyze dynamic characteristics of the generator's stator, its finite element model were obtained using ANSYS software package for modal and harmonic analysis. we compare the analysis result with experimental data. The results show that the resonance frequency, which is related with second ecliptical mode on the stator end windings 129Hz. The experimental results are good agreement with the FEA model.

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Closed-form optimum tuning formulas for passive Tuned Mass Dampers under benchmark excitations

  • Salvi, Jonathan;Rizzi, Egidio
    • Smart Structures and Systems
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    • v.17 no.2
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    • pp.231-256
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    • 2016
  • This study concerns the derivation of optimum tuning formulas for a passive Tuned Mass Damper (TMD) device, for the case of benchmark ideal excitations acting on a single-degree-of-freedom (SDOF) damped primary structure. The free TMD parameters are tuned first through a non-linear gradient-based optimisation algorithm, for the case of harmonic or white noise excitations, acting either as force on the SDOF primary structure or as base acceleration. The achieved optimum TMD parameters are successively interpolated according to appropriate analytical fitting proposals, by non-linear least squares, in order to produce simple and effective TMD tuning formulas. In particular, two fitting models are presented. The main proposal is composed of a simple polynomial relationship, refined within the fitting process, and constitutes the optimum choice. A second model refers to proper modifications of literature formulas for the case of an undamped primary structure. The results in terms of final (interpolated) optimum TMD parameters and of device effectiveness in reducing the structural dynamic response are finally displayed and discussed in detail, showing the wide and ready-to-use validity of the proposed optimisation procedure and achieved tuning formulas. Several post-tuning trials have been carried out as well on SDOF and MDOF shear-type frame buildings, by confirming the effective benefit provided by the proposed optimum TMD.

An Experimental Investigation on the Characteristics of An Automotive Air Spring (자동차 공기스프링의 특성에 대한 실험적 고찰)

  • Lee, J.C.;Liu, H.
    • Transactions of The Korea Fluid Power Systems Society
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    • v.8 no.2
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    • pp.17-22
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    • 2011
  • The analysis of an air spring characteristics is necessary to design and control automotive air suspension system properly. A mathematical model of an air spring was derived in light of energy conservation first. Then static and dynamic experiments of the air spring have been fulfilled. The static stiffness with various initial pressures and effective areas were obtained from the static experimental results. Theoretical static stiffness obtained by using the mathematical model and effective area data is in close accordance with the experimental estimation. The dynamic experimental results show that the hysteresis in displacement-force cycle decreases when the frequency of the harmonic displacement excitation signal increases, but it does not change too much as the frequency is higher than 1Hz. And the dynamic stiffness goes up with increasing of the initial pressure and the excitation frequency.

Active Nonlinear Vibration Absorber for a Nonlinear System with a Time Delay Acceleration Feedback under the Internal Resonance, Subharmonic, Superharmonic and Principal Parametric Resonance Conditions Simultaneously

  • Mohanty, S;Dwivedy, SK
    • Journal of Aerospace System Engineering
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    • v.13 no.5
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    • pp.9-15
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    • 2019
  • In this paper, dynamic analysis of a nonlinear active vibration absorber is conducted with a time delay acceleration feedback to suppress the vibration of a nonlinear single degree of freedom primary system. The primary system consisting of linear and nonlinear cubic springs, mass, and damper is subjected to the multi-harmonic hard excitation with a parametric excitation. It is proposed to reduce the vibration of the primary system and the absorber by using a lead zirconate titanate (PZT) stack actuator in series with a spring in the absorber which configures as an active vibration absorber. The method of multiple scales (MMS) is used to obtain the approximate solution of the system under the internal resonance, subharmonic, superharmonic, and principal parametric resonance conditions simultaneously. Frequency and time responses of the system are investigated considering a delay in the feedback for the various parameters of the absorber configuration and controlling force.

Nonlinear and nonclassical vibration analysis of double walled piezoelectric cylindrical nanoshell

  • Kachapi, Sayyid H. Hashemi
    • Advances in nano research
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    • v.9 no.4
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    • pp.277-294
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    • 2020
  • In current paper, nonlocal (NLT), nonlocal strain gradient (NSGT) and Gurtin-Murdoch surface/interface (GMSIT) theories with classical theory (CT) are utilized to investigate vibration and stability analysis of Double Walled Piezoelectric Nanosensor (DWPENS) based on cylindrical nanoshell. DWPENS simultaneously subjected to direct electrostatic voltage DC and harmonic excitations, structural damping, two piezoelectric layers and also nonlinear van der Waals force. For this purpose, Hamilton's principle, Galerkin technique, complex averaging and with arc-length continuation methods are used to analyze nonlinear behavior of DWPENS. For this work, three nonclassical theories compared with classical theory CT to investigate Dimensionless Natural Frequency (DNF), pull-in voltage, nonlinear frequency response and stability analysis of the DWPENS considering the nonlocal, material length scale, surface/interface (S/I) effects, electrostatic and harmonic excitation.

Perturbation method for the dynamic analysis of a bistable oscillator under slow harmonic excitation

  • Luongo, Angelo;Casciati, Sara;Zulli, Daniele
    • Smart Structures and Systems
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    • v.18 no.1
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    • pp.183-196
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    • 2016
  • In this paper a nonlinear, bistable, single degree of freedom system is considered. It consists of a Duffing oscillator externally excited by a non-resonant, harmonic force. A customized perturbation scheme is proposed to achieve an approximate expression for periodic solutions. It is based on the evaluation of the quasi-steady (slow) solution, and then on a variable change followed by two perturbation steps which aim to capture the fast, decaying contribution of the response. The reconstructed solution, given by the sum of the slow and fast contributions, is in a good agreement with the one obtained by numerical integration.

Out-of-plane Structural Intensity Analysis of Rectangular Thick Plate (직사각형 후판의 면외 진동인텐시티 해석)

  • Kim, Kook-Hyun;Cho, Dae-Seung
    • Journal of Ocean Engineering and Technology
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    • v.26 no.4
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    • pp.42-49
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    • 2012
  • A numerical method is presented for an out-of-plane structural intensity analysis of rectangular thick plates with arbitrary elastic edge constraints. The method adapts an assumed mode method based on Timoshenko beam functions to obtain the velocities and internal forces needed for a structural intensity analysis. To verify the presented method, the structural intensity of a square thick plate under harmonic force excitation, for which four edges are simply supported, is analyzed, and the result is compared with existing solutions using the assumed mode method based on trigonometric functions. In addition, numerical analyses are carried out for a rectangular-shaped thick plate under harmonic force excitations, of which three edges are simply supported and one edge utilizes an arbitrary elastic edge constraint. These numerical examples show the good accuracy and applicability of the presented method for rectangular thick plates with arbitrary edge constraints.

A Study on the Fore-and-After Vibration of Superstructure (선체(船體) 상부구조물(上部構造物)의 전후진동(前後振動)에 관한 연구(硏究))

  • Sa-Soo,Kim;Dong-Myung,Bae;Ku-Kyun,Shin;Jong-Hyun,Noh
    • Bulletin of the Society of Naval Architects of Korea
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    • v.25 no.2
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    • pp.31-43
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    • 1988
  • In recent years increased attention has been directed towards the problems of vibration and noise in superstructure, which have caused major problems with regard to the environmental afterbody of the ship, and the fore-and-after vibration of superstructure due to the vertical vibration of main hull girder is the most important as for the inhabitation of the ship. Accordingly, in this paper, the characteristics of the fore-and after vibration of superstructure and studied systematically with regard to the shape and height of superstructure based on finite element method of beam-like model. The study is divided into two parts, one is the calculation of natural frequencies and the other is the investigation of response at the top of superstructure caused by in its harmonic excitation force at the stern of hull girder. For the natural frequency the calculation results are shown that the higher superstructure is, the lower the natural frequencies of the fore-and-after vibration of superstructure is. It means that the natural frequency of superstructure is close to that of hull girder. The response of vertical direction at the stern of hull girder induced by unit harmonic force is less affected by the shape and the height of superstructure but the response of the fore-and-after direction at the top of superstructure is affected considerably by those of superstructure.

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Nonlinear Characteristic of a Tuned Liquid Column Damper under Various Excitation Amplitudes (가진입력의 크기에 따른 동조액체기둥감쇠기의 비선형 특성)

  • Lee, Sung-Kyung;Lee, Hye-Ri;Min, Kyung-Won
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.10a
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    • pp.842-849
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    • 2009
  • The objective of this study is to investigate design parameters of a tuned liquid column damper(TLCD), which is affected by various excitation amplitudes, through shaking table test. Design parameters of a TLCD are examined based on the equivalent tuned mass damper(TMD) model of a TLCD, in which the nonlinear damping of a TLCD is transposed to equivalent viscous damping. Shaking table test is carried out for a TLCD specimen subjected to harmonic waves with various amplitudes. Transfer functions are ratios of liquid displacement of TLCD and control force produced by a TLCD, respectively, with respect to the acceleration excited by a shaking table. They are derived based on the equivalent TMD model of a TLCD. Then, the variation of design parameters according to the excitation amplitude is examined by comparing analytical transfer functions with experimental ones. Finally, the dissipation energy due to the damping of a TLCD, which is experimentally observed from the shaking table test, is examined according to the excitation amplitude. Comparisons between test results and analytical transfer functions showed that natural frequencies of TLCD and the ratio of the liquid mass in a horizontal column to the total liquid mass does not depend on the excitation amplitude, while the damping ratio of a TLCD increases with larger excitation amplitudes.

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