双参数三次Hermite插值逐步积分法求解结构动力响应

详细信息

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

(1. College of Architecture and Environment, Sichuan University, Chengdu 610065, China; 2. State Key Laboratory of Geohazard Prevention & Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, China)

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。
- 动力学响应 /
- 逐步积分法 /
- 三次Hermite插值 /
- 双参数 /
- 稳定性
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.
- dynamic response /
- step-by-step integration method /
- 3-order Hermite interpolation /
- double- parameter /
- stability