厄密多项式在结构动力响应计算中的应用

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The Usage of Hermite Polynomial in the Calculation of Structural Dynamic Responses

摘要: 本文利用正交多项式级数部分和的"最佳近似"性,推出了求解结构动力响应的付里叶-厄密多项式展开法.文中详细推导了振动系统的位移和速度响应的分步解析表达式,并讨论了计算格式的稳定性条件,通过了实例考核与精确度对比分析.

Abstract: This paper employs the best approximation of part series sum of normal polynomials.and proposes a new method with the Fourier-Hermite polynomial expansion expressing structural dynamic responses.Analytic expressions of displacement and velocity responses of vibrational systems are e stablished in this paper,and stability condition of the step-by-step algorithm is discussed.Finally,a computational example is demonstrated,and the precision of its results is compared with conventional methods.

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