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1)  exact residual constraint modes
精确剩余约束模态
1.
Substructure displacements are firstly expressed by the mid/high-order modes and exact residual constraint modes of the interface-fixed substructure,where the lower-order mode components are eliminated by the dynamic equation.
首先用固定界面子结构的中高阶模态与精确剩余约束模态表达子结构位移;再利用界面力与位移的协调关系进一步消去界面自由度,建立双协调的精确缩聚变换;然后根据里兹法,得到结构模态运动的精确综合特征方程。
2)  exact residual modes
精确剩余模态
1.
The exact residual modes for substructures with free interfaces are expressed according to the mixed expansion of dynamic flexibility in the summation of three terms,which include the Rubin s second- order approximate terms and their exact residual term.
采用动柔度混合展开公式导出自由界面子结构精确剩余模态的三项和表达式,它在保留Rubin 二级近似的同时补充了其精确余项。
3)  exact constraint
精确约束
4)  remaining mode
剩余模态
1.
An improved method was developed to lower the error arising from the neglect of the higherorder modes by adding the remaining modes of the main substructure.
改进的分支模态法将系统中主子结构的剩余模态加入,降低了略去高阶模态带来的严重误差。
5)  residual modal force
剩余模态力
1.
The damage location is determined based upon the residual modal force theory and with the assistance of sensitive mode shape.
针对网架结构特点,引入敏感模态的概念,提出了一种识别敏感模态的算法;基于剩余模态力理论,利用敏感模态进行损伤位置识别,并建立了基于模态应变能理论的损伤程度评估算法,采用非负最小二乘法求解超静定方程组,实现定量评估损伤程度。
2.
The two-step damage detection algorithm based on the residual modal force and the minimum rank perturbation theory is proposed.
提出了基于剩余模态力和最小秩摄动理论的两阶段损伤识别算法,对几种模型缩聚技术和特征向量扩充技术在网壳结构损伤识别应用中的可行性、优缺点及适用范围进行了比较研究。
3.
Based on the characteristics of reticulated shells, the formulations of residual modal force and the minimum rank perturbation theory are derived.
针对网壳结构特点,推导了剩余模态力理论和最小秩摄动理论的基本公式,研究二者在大型网壳结构损伤识别应用中的有效性。
6)  constrained modality
约束模态
1.
The engine structure is analyzed, and then the structural modal parameters are obtained by using finite element method in the cases of constrained modality and free modality.
以鱼雷热动力发动机机体为例,用PATRAN有限元分析软件为平台,建立机体3D实体模型,对机体结构进行约束模态和自由模态分析,获得机体结构的模态参数。
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