摘要
考虑索的抗弯刚度、垂度及几何非线性的影响,得出了索-阻尼器系统的空间非线性振动偏微分方程,用中心差分法将微分方程在空间内离散,导出了系统的非线性振动常微分方程组。结合Newmark法及虚拟力法提出了一种用于求解非线性振动瞬态响应的杂交分析算法。并以典型的斜拉桥拉索为研究对象,给出了数值算例,并与Runge-Kutta直接积分法进行了比较,说明了杂交算法的准确性及有效性。
Taking the bending stiffness, static sag and geometric nonlinearity into account, the space nonlinear vibration partial differential equations are derived. The partial differential equations are discretized in space by finite center difference approximation, and the nonlinear ordinary differential equations are obtained. A hybrid method involving the combination of the Newmark method and the pseudo-force strategy is proposed to analyze the nonlinear transient response of the inclined cable-dampers system subjected to arbitrary dynamic loading. As examples, two typical stay cable are calculated. The results reveal both the validity and the efficiency of the viscoelasticity damper for vibration control of stay cable for cable stayed bridge. The efficiency and accuracy of the proposed method are verified by comparing the results with those obtained by Runge-Kutta direct integration technique.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2004年第3期356-360,共5页
Chinese Journal of Computational Mechanics
基金
:江西省自然科学基金 (0 3 50 0 6 1 )资助项目~~
关键词
斜拉索
瞬态响应
振动控制
非线性
Damping
Loads (forces)
Partial differential equations
Vibration control
Viscoelasticity
