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模态截断
相关语句
  modal truncation
    We, in this paper, put forward the calculation formulae for the eigenvalue of proportional damped vibration system and eigenvector sensitivity, and the high accurate approximation calculation formula under the condition of modal truncation,and we demonstrated its effectiveness through calculations.
    本文给出了比例阻尼振动系统的特征值与特征向量灵敏度的计算公式,以及在模态截断情况下,特征向量灵敏度的高精度近似计算公式,并通过算例证明其有效性.
短句来源
    Based on the modal truncation method of eigenderivatives and certain approximation, a set of formulations for sensitivity numbers of mean squared random dynamic responses is derived.
    基于特征导数的模态截断法和近似处理 ,导出了一套平均均方动响应的灵敏度公式。
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  “模态截断”译为未确定词的双语例句
    As the dimensions of mobility matrixes have relationship only with the number of subsystem's interfaces but not with that of the summing modes, the truncation problem in large system modeling would be avoided, and higher frequency analysis results can be obtained.
    将导纳法与模态法结合推导了基于非耦合子系统模态参数的子系统导纳矩阵,矩阵的维数与求和的模态数无关,大模型中的模态截断问题可以很好的避免,并能得到更高的频率分析范围。
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  modal truncation
Dynamic modeling and modal truncation approach for a high-speed rotating elastic beam
      
Since using lower-order transverse modes for modal truncation obviously can cause error, addition of more transverse modes may improve the result.
      
The effect of modal truncation and means to approximate corresponding dynamic displacement residuals are discussed for linear, anisotropic solid bodies and structures with general damping.
      
In this paper we examine order reduction of parabolic systems using modal truncation.
      
In the common method of modal truncation controllability constraints are first reformulated as an infinite sequence of moment equations, which is then truncated to a finite set of equations.
      
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We, in this paper, put forward the calculation formulae for the eigenvalue of proportional damped vibration system and eigenvector sensitivity, and the high accurate approximation calculation formula under the condition of modal truncation,and we demonstrated its effectiveness through calculations.

本文给出了比例阻尼振动系统的特征值与特征向量灵敏度的计算公式,以及在模态截断情况下,特征向量灵敏度的高精度近似计算公式,并通过算例证明其有效性.

The paper presents the reason why an elastic structure with negative velocity feedback may have self excited vibration of very high frequency.It is proved by using the Lyapunov function that the structure with collocated negative velocity feedback is always asymptotically stable no matter how large the feedback gain is set.i.e.,there is no spillover caused by the modal truncation in the design of vibration control.However,non collocated pair of...

The paper presents the reason why an elastic structure with negative velocity feedback may have self excited vibration of very high frequency.It is proved by using the Lyapunov function that the structure with collocated negative velocity feedback is always asymptotically stable no matter how large the feedback gain is set.i.e.,there is no spillover caused by the modal truncation in the design of vibration control.However,non collocated pair of sensor and actuator may result in the self excited vibration of very high frequency if the measured velocity is always in the opposite direction of the feedback velocity.Moreover,the time delay from the sensor to the actuator takes an important role in the occurrence of self excited vibration .In the case of collocated negative velocity feedback,the self excited vibration may happen if a time delay,albeit very short,exists in the feedback channel and the feedback gain is large enough.

分析了结构控制中高频自激振动的原因。文中证明:具有对位速度负反馈的弹性结构总是渐近稳定的,不会因控制设计中的模态截断而引起控制溢出;但具有跨点速度负反馈的弹性结构则不然。经分析后指出,反馈环节和作动器的时滞是具有对位速度负反馈的结构产生高频自激振动的主要原因。在一定条件下,只要反馈增益足够大,高频自激振动就会发生。

This paper considers the extension and modification of ESO method to control the random dynamic responses of structures under earthquake excitations useing structural shape optimization. First, the random dynamic theory is applied to build an expression of random dynamic response constraints considering engineering requirements. Based on the modal truncation method of eigenderivatives and certain approximation, a set of formulations for sensitivity numbers of mean squared random dynamic responses is derived....

This paper considers the extension and modification of ESO method to control the random dynamic responses of structures under earthquake excitations useing structural shape optimization. First, the random dynamic theory is applied to build an expression of random dynamic response constraints considering engineering requirements. Based on the modal truncation method of eigenderivatives and certain approximation, a set of formulations for sensitivity numbers of mean squared random dynamic responses is derived. The algorithm is implemented with on optimization software package. Several examples are provided to demonstrate the validity and effectiveness of the proposed method.

通过推广和修改 ESO方法来进行结构形状优化设计 ,以达到控制地面运动激励下的结构随机动力响应的目的。根据工程实际要求 ,用随机动力学理论构造具有白噪声功率谱的地面运动的随机动响应表达式。基于特征导数的模态截断法和近似处理 ,导出了一套平均均方动响应的灵敏度公式。在优化软件上实现了形状优化算法 ,提供的算例显示了本方法的合理性和有效性

 
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