英德
有道
百度
谷歌
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维基
百科
乘子方程
multiplicator equation
- 为得到上述控制方程的数值解答，同时对位移和塑性乘子进行离散，得到以节点位移和节点塑性乘子为基本未知量的非线性方程组，建立塑性乘子的边界条件，给出求解上述方程组的增量算法。
A set of nonlinear equations taking the displacements and the plastic factors of nodes as the unknown variables are obtained; and the boundary conditions and the increment algorithm of the equations are given. - 提出了多转子系统的粘弹性中间弹支参数辨识的一种方法.该方法把多转子系统看作复合结构,用动态子结构分析的阻抗匹配法计算动力学特性,用增广拉格朗日乘子法迭代计算系统特征方程的系数行列式,获得系统物理参数的辨识结果.该方法可以准确计入陀螺力矩的影响,避免测量振型参数.在分析中,利用多转子系统的特性可简化分析过程.文中还介绍了一种建立粘弹性弹支多转子系统动力学模型的方法.计算结果与试验结果基本一致.
A method is proposed for the parameter identification of the viscoelastic internal dampers of the multirotor systems in this paper.The multi-rotor system is regarded as a composite structure.The impedance matching method in the substructure method for structural dynamic analysis is used for the dynamic calculation of the structure.The augmented Lagrange method is applied to the iteration calculations of the characteristic determinant of eigenvalve equation of the system.and then the results of parameter identification can be obtained.Upon the dynamic characteristics of the system,the method can reveal the influence of the gyroscopic moments of force precisely.In process of the analysis,the various properties of multi-rotor systems are made the best use of,so the measure of the modes parameters is avoided,the calculation is simplified.In addition,an efficient method is proposed to establish a dynamic model of multirotor systems with viscoelastic internal dampers.The calculating results are consistent with the experimental results satisfactorily. - 本文讨论一类具有脉冲效应和周期系数的两个食饵一个捕食者的捕食-食饵系统的动力学行为.利用脉冲微分方程比较定理和乘子理论,证明了系统的有界性,讨论了平凡周期解和半平凡周期解的稳定性,利用重合度的理论给出了系统存在周期正解的充分条件.
In this paper,a classical periodic two prey and a predator predator-prey system with impulsive effect is investigated.The boundedness of system and the local stability of trivial or semi-trivial periodic solution are proved by using comparative theorem and multipliers theory of impulsive differential equation.A set of sufficient conditions are derived for the existence of at least one positive periodic solution,by using the method of coincidence degree.
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