CAJ | 학술논문

为求解结构动力响应提出新的时间积分法。该方法采用均匀七次 B 样条插值近似对局部时间域节点位移、速度及加速度进行离散。给出动力平衡方程求解的逆推格式与算法流程。分析表明，通过选择合适参数可提高计算精度，且使算法绝对稳定。计算数值解精度较高，明显优于传统的 Newmark 法与 Wilson -θ法。
위구해결구동력향응제출신적시간적분법。해방법채용균균칠차 B 양조삽치근사대국부시간역절점위이、속도급가속도진행리산。급출동력평형방정구해적역추격식여산법류정。분석표명，통과선택합괄삼수가제고계산정도，차사산법절대은정。계산수치해정도교고，명현우우전통적 Newmark 법여 Wilson -θ법。
A new explicit time integration method was given for the solving of structural dynamic response.The proposed method was derived on the basis of uniform septuple B-spline interpolation approximation of nodal displacement, velocity and acceleration within any local time domain.The recursion formula of dynamic equilibrium equations was given as well as its computation procedure.The analysis shows,the proposed method can be unconditionally stable by selecting proper parameters.The numerical examples show,compared with the conventional Newmark method and Wilson-θmethod,the proposed method possesses high calculation accuracy.