| 1. | Step - by - step integration method based on gurtin variational principle of displacement model
变分原理的逐步积分法 |
| 2. | B . structural dynamic time history analyses based on structural state equation in hamilton system are studied
2 、研究了基于hamilton体系下的结构状态方程求解结构动力学问题的数值逐步积分方法。 |
| 3. | Numerical examples show that the results are highly accurate in comparison with newmark > wilson - # - . houbolt and central difference method
算例表明解析逐步积分法和积分型直接积分法比中心差分法、 newmark 、 wilson - 、 houbolt法等有较高的精度。 |
| 4. | The highly precise direct integration scheme is used for solving modal dynamic differential equation of the structure and a dynamic load identification method by the modal respondence is proposed
采用无条件稳定的精细逐步积分法求解结构的模态动力学微分方程，构造了通过结构的模态响应直接反求荷载列阵的迭代算法。 |
| 5. | An incrementally - iterative algorithm with constant stiffness , which combines step - by - step time integration scheme with unbalanced load transfer method , is employed in numerically implementing of the proposed constitutive model
在模型本构关系的数值实施中，采用将时域逐步积分格式与不平衡荷载转移法相结合的增量?常刚度迭代算法。 |
| 6. | Time history analysis is carries on after the seismic waves being numbered according to period , input values of seismic wave to vibration equation of system , adopt the method of progressive integral to gain the whole course of the structure ' s state at the whole earthquake
时程分析是将地震波按时段进行数值化后，输入结构体系的振动微分方程，采用逐步积分法得出结构在整个地震时域中振动状态的全过程。 |
| 7. | In this paper , nonlinear static analysis methods , structural dynamic time history analyses based on structural state equation in hamilton system , multi - mode control theories of multiple tuned mass dampers , and semi active control laws of " on - off " are investigated
本文分析和研究了结构静力弹塑性分析方法、基于hamilton体系下结构状态方程求解结构动力学问题的数值逐步积分方法、多重调谐质量阻尼器( mtmd )的多模态控制理论以及建筑结构的半主动控制律。 |
| 8. | Secondly , to analyze seismic response of the concrete gravity dam , subspace iterative method was applied to compute free vibration period of the dam , time integration method was built up for the seismic time history analysis and formulation of coupled vibration of reservoir water and dam were also deduced
其次，针对混凝土重力坝的地震响应分析问题，采用子空间迭代法计算了大坝的自振周期，建立了地震时程分析的逐步积分方法，并且推导了库水和坝体耦合振动的理论公式。 |
| 9. | Based on the unified recursive formula , the four algorithms included in this study are the central difference method , the newrnark ' s method , z - transform method , and duhamel ' s step integral method . the accuracy , the phase and other existent problem are studied in this paper . it is proved in this paper that the recursive parameters b1and b2are relate to the poles of theoretical transfer function
分析中可以发现，中心差分方法， newmark中点加速度方法、 z变换方法及duhamel逐步积分法在精度范围内其计算相位是没有畸变的，中国地震局工程力学研究所顷土学位论文一但是中心差分方法， newmark中点加速度方法随着采样间隔及系统自振频率的增大，系统的固有自振周期被改变，其传递函数的共振区域与理论传递函数的共振区域会发生分离。 |
| 10. | The integral method via a scaling and squaring algorithm with the pade approximation is presented . the three - stage lobatto iii a formula is applied to structural dynamic time history analysis . and the three - stage lobatto a formula to use hermite third order interpolations to solve interpolating middle input between two boundary points is present , which provides more accurate solutions
提出了基于自适应变尺度pad函数逼近的精细积分方法；建立基于lobatto a一阶代数微分方程边界问题数值求解技术求解结构动力学问题的时程分析方法，提出了中间插值点hermite三次插值lobatto a数值逐步积分时程分析方法。 |
