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TIME INTEGRATION SCHEME THAT ELIMINATES HIGH FREQUENCY NOISE BY DIGITAL FILTER

机译:通过数字滤波器消除高频噪声的时间积分方案

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In the dynamic analysis of the nonlinear system with large degrees of freedom, stability of computation is an essential problem. Since noise in high frequency range often triggers instability of the computation, various time integration schemes that have an effect to dampen the noise, such as Wilson method, have been developed. This paper presents a digital filtering time integration (DFTI) scheme, which eliminates high frequency noise by using digital filtering technique. Usage of digital filter enables the implementation of widely adjustable damping. It can implement various frequency characteristics that other conventional time integration schemes can not have. Theory and computation process are described in the paper. The frequency characteristics of the DFTI scheme are also investigated and compared with those of conventional time integration methods. It is shown that the DFTI scheme can eliminate high frequency noise efficiently and that it does not deteriorate the accuracy of the analysis in the frequency range of practical concern. DFTI scheme can work with various conventional time integration methods, and it is applied to a central difference method in this paper. Efficiency of the DFTI scheme is illustrated by the numerical example of a nonlinear dynamic analysis. The results show that the DFTI scheme can eliminate high frequency noise without losing accuracy of the analysis.
机译:在具有大自由度的非线性系统的动力学分析中,计算的稳定性是一个基本问题。由于高频范围内的噪声通常会触发计算的不稳定性,因此已经开发出了多种具有抑制噪声效果的时间积分方案,例如Wilson方法。本文提出了一种数字滤波时间积分(DFTI)方案,该方案通过使用数字滤波技术消除了高频噪声。使用数字滤波器可以实现广泛可调的阻尼。它可以实现其他常规时间积分方案无法具备的各种频率特性。本文介绍了理论和计算过程。还研究了DFTI方案的频率特性,并将其与常规时间积分方法的频率特性进行了比较。结果表明,DFTI方案可以有效地消除高频噪声,并且在实际关注的频率范围内不会降低分析的准确性。 DFTI方案可以与各种常规时间积分方法一起使用,并且已应用于本文的中心差分方法中。非线性动态分析的数值示例说明了DFTI方案的效率。结果表明,DFTI方案可以消除高频噪声,而不会损失分析的准确性。

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