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first vibration mode
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  first vibration mode
In this paper, the nonlinear planar response of a hinged-hinged buckled beam to a primary-resonance excitation of its first vibration mode is computed by a new numerical scheme.
      
We investigated theoretically and experimentally the nonlinear responseof a clamped-clamped buckled beam to a subharmonic resonance of orderone-half of its first vibration mode.
      
We investigate the nonlinear response of a clamped-clamped buckled beamto a primary-resonance excitation of its first vibration mode.
      
The first vibration mode of our rotary switch is an in-plane rotational mode and appears around 3.4?kHz, which is characterized via a Polytec laser doppler vibrometer.
      
In numerical analysis, an approximate method is established to evaluate the first vibration mode and finite-element methods are used to simulate higher order vibration modes of the transducer.
      
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In this paper,the results of coupled horizontal and rocking vibrations of embedded footings by Baranov-Novak and those of vibration of viscoelastic foundations by Veletsos-Virbic are used to derive the stiffnesses and damping coefficients of embedded foundation treated as though one directly placed on soil surface.To illustrate the effects of embedment on the dynamic soil-structure interaction,RC frame structures commonly used in this country are taken as examples.The numerical results obtained are as follows:1)the...

In this paper,the results of coupled horizontal and rocking vibrations of embedded footings by Baranov-Novak and those of vibration of viscoelastic foundations by Veletsos-Virbic are used to derive the stiffnesses and damping coefficients of embedded foundation treated as though one directly placed on soil surface.To illustrate the effects of embedment on the dynamic soil-structure interaction,RC frame structures commonly used in this country are taken as examples.The numerical results obtained are as follows:1)the relative elastic displacements and damping ratio corresponding to the first vibration mode of the system do not always vary monotonously with increasing embedment ratio,2)within a certain range of embedment ratio there exists an approximate linear relationship between the foundamental frequency ratio of the system with and without foundation embedment and the embedment ratio,and 3)the earthquake displacement responses of the system are controlled mainly by the first vibration mode.

本文利用Baranov-Novak关于埋置基础水平与摆动耦合振动的结果及Veletsos与Verbic关于粘弹性地基振动的结果,给出了与埋置基础等效的无埋置基础的动力刚度系数及阻尼系数,并以钢筋混凝土框架结构为例来说明基础埋置深度对土壤——多层结构动力相互作用的影响。计算结果表明,结构体系第一振型的弹性位移及阻尼比并不总是随埋深比的增加而单调变化;在一定的范围内,结构体系基础有埋深时的基频与无埋深时的基频之比与埋深比之间有着近似的线性关系;结构体系的地震位移响应基本上是由第一振型控制的。

This paper investigates the dynamic response of tall buildings subject toalongwind loading.According to the assumptions of the fundamental parame-ters,the function of the first vibration mode and that of the mass model,thecomputer program AWCTS is compiled.The availability of the procedure in thispaper is verified through practical calculations and comparison of results.

本文计算了高层建筑在顺风荷载作用下的动力反应.根据基本参数、结构第一振型和质量模式的假定,编制了计算程序AWCTS.对国外三幢高楼进行计算,检验了本文提出风荷载模型的有效性.

A study on dynamic effect of three point bending beam made of laminated composite subjected totransverse impact have been carried out. Emphasis of this investigation is focused upon the inertia effectand stress wave effect on the impact response and stress distribution of the beam. Dynamic finite elementanalysis was conducted and the famous commercial program ABACUS was utilized. The impact loadingfunction of time recorded in the experimental study of the previous paper was used in the FEM analysis andthe resulted...

A study on dynamic effect of three point bending beam made of laminated composite subjected totransverse impact have been carried out. Emphasis of this investigation is focused upon the inertia effectand stress wave effect on the impact response and stress distribution of the beam. Dynamic finite elementanalysis was conducted and the famous commercial program ABACUS was utilized. The impact loadingfunction of time recorded in the experimental study of the previous paper was used in the FEM analysis andthe resulted deflection response δ(t) of FEM was compared with that of experiment, The FEM δ(t) curveexhibits some difference from that of experiment, i. e. there is small high frequence oscillation wave superposing on the main δ(t) curve of FEM, whereas the recorded δ(t) curve is simply straight. This is because of ignorance of the mass of impact hammer in FEM calculations, but in the drop weight impact testthe beam specimen combining the hammer constitutes a vibration system. The period of the oscillation isproved to be the period of free vibration of the beam for the first vibration mode.The stress wave propagation was examined. At the early period of the loading process, the stress waslocalized in small area of the vicinity of impact point and the stress values in the upper layer of the beamwas larger than those in the lower layer. At the later stage of loading process stress distribUtion tends tobe the same as static bending. For studing the effect of loading rate, three loading cases were considered.When the maximum load was reached, the stress for the drop weight loading case is nearly the same asstatic loading. On the contrary, if the loading rate is enhanced by a factor of 25, the stress was smallerthan the former two cases for the same load level.

研究了十字叠层复合材料梁横向冲击响应的动力学效应,根据冲击实验曲线用动态有限元方法计算了惯性效应和应力波效应对位移和应力响应的影响。

 
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