运用振动反分析方法计算振动荷载

EVALUATION OF DYNAMIC LOADING BY USING THE INVERSE ANALYSIS METHOD IN VIBRATION

  • 摘要: 本文研究运用振动反问题理论求解振动荷载时程的问题。在 Newmark 法求解运动平衡方程的基础上,推导了求解振动荷载的公式。采用最小二乘法估计最可置信的荷载系数。提出了由结构对振动荷载的反应求振动荷载时程的有限元方法。通过算例验证了方法的有效性。本文为计算振动荷载提供了一种新的方法。

     

    Abstract: This paper discusses the problem of determining dynamic loading history by using the method of inverse analysis in vibration. On the basis of the solution for dynamic equilibrium equation utilizing the Newmark method, formulas for calculating vibration loading were derived. The reliable loading coefficients were estimated by using the method of least squares. A finite element method for calculating vibration-loading history was put forward by using the measured structure responses under dynamic loading. Examples are given to verify its effectiveness. This paper provides a new method for estimating vibrating loading.

     

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