【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.更多还原

【Abstract】 This paper employs the best approximation of part series sum of normal polynomials, and propeses a new method with the Fourier-Hermite polynomial expansion expressing structural dynamic responses. Analytic expressions of displacement and velocity responses of vibrational systems arc established 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.更多还原