袁晓彬, 赵 晓, 方冬慧, 王清远. 双参数三次Hermite插值逐步积分法求解结构动力响应[J]. 工程力学, 2010, 27(10): 42-046.
引用本文: 袁晓彬, 赵 晓, 方冬慧, 王清远. 双参数三次Hermite插值逐步积分法求解结构动力响应[J]. 工程力学, 2010, 27(10): 42-046.
YUAN Xiao-bin, ZHAO Xiao, FANG Dong-hui, WANG Qing-yuan. A NEW STEP-BY-STEP INTEGRATION METHOD BASED ON 3-ORDER HERMITE INTERPOLATION BY DOUBLE-PARAMETER FOR DYNAMIC RESPONSE[J]. Engineering Mechanics, 2010, 27(10): 42-046.
Citation: YUAN Xiao-bin, ZHAO Xiao, FANG Dong-hui, WANG Qing-yuan. A NEW STEP-BY-STEP INTEGRATION METHOD BASED ON 3-ORDER HERMITE INTERPOLATION BY DOUBLE-PARAMETER FOR DYNAMIC RESPONSE[J]. Engineering Mechanics, 2010, 27(10): 42-046.

双参数三次Hermite插值逐步积分法求解结构动力响应

A NEW STEP-BY-STEP INTEGRATION METHOD BASED ON 3-ORDER HERMITE INTERPOLATION BY DOUBLE-PARAMETER FOR DYNAMIC RESPONSE

  • 摘要: 为了求解结构动力学响应,该文提出了一种新的逐步积分法。通过三次Hermite插值在局部时间域上对位移、速度进行离散,给出了逐步递推计算格式;采用双参数控制算法的稳定性和计算精度。该方法具有自起步、计算精度较高、无需中间计算环节的特点。通过与Newmark法、Wilson法、精细积分法的数值结果对比分析,表明该方法是准确可靠的。

     

    Abstract: In order to obtain a structural dynamic response, a new step-by-step integration method is presented. The step-by-step recursion method is introduced by 3-order Hermite interpolation of nodal displacements and velocities within a local time domain; two different parameters are varied to obtain good stability and accuracy. This method is characterized with self-starting, high precision and no middle computational procedure. The example result comparison with those of Newmark, Wilson, precise integration, shows that this method is accurate and reliable.

     

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