模态的

The static natural frequencies and dynamic frequencies (under 3000rpm) are calculated by the finite element method and cyclic symmetry technique. The rotating vibration behaviors of the two models are compared. Different vibration characteristics between the two models are discussed. Geometry mismatch in a turbine blade root, which arose in manufacturing process or caused by wearing out during service, leads to contact conditions changed in fir-tree attachments. As a result, shifting of the fundamental frequencies and redistribution of stress in the blade base possibly cause failure of the blade.

在叶片—轮盘耦合系统振动研究方面，建立了带围带的叶片振动计算模型和带围带的叶片—轮盘耦合系统振动计算模型，考虑旋转离心力作用，采用波传播技术，对两种模型分别进行了整圈模态分析，得到了某汽轮机叶片模型和叶片—轮盘耦合模型在0转速和工作转速(3000rpm)下的振动模态，并对所得结果进行分析比较，讨论了整圈叶片振动模态与叶片—轮盘耦合振动模态的区别。

In the second part, finite element model of the impeller of the centrifugal fan is built and the mode analysis is carried out.

第二部分建立了风机叶轮的有限元模型并进行模态分析，在ANSYS软件中，采用SHELL63单元对叶轮模型划分网格，进行前100阶模态分析，比较了叶轮自由模态和有预应力模态的差异，提取了模态参数。

According to the studied results at present, the studied objects are mainly thin plate and beam about sound radiation mode, a method computed sound radiation mode of complex structure is presented in this dissertation, according to the results of the previous two chapter, a theoretical method to solve acoustical radiation mode and acoustical radiation efficiency of complex structure by boundary element method and acoustical radiation theory is posed, the acoustical radiation power is expressed as a Hermitian quadratic form, while the radiation modes is determined by general eigenvalue decomposing, and then the radiation efficiency is computed via the orthodoxy of radiation modes with regard to impedance matrix and average velocity matrix; lastly, the validity of the method is proved by pulsating sphere and radiating cube with analytical results. According to results of the form three chapter, the structure sound radiation sensitivity is studied in detail, the sound radiation power of structure can be expressed as positive Hermitian quadratic form, the sound radiation sensitivity can be expressed as two parts by partial differential with respect to design variable, which are sensitivity of boundary velocity and impedance matrix, combined with the theory of FEM and BEM, the structure sound radiation can be translated to the analysis of structure dynamic sensitivity and impedance matrix sensitivity. The theory posted in this dissertation is tested by the FEM software ANSYS and the software AAS programmed by author.

在前几章的基础上，通过结构声辐射的模态理论对结构的声辐射的机理进行了深入地探讨，针对目前声辐射模态的研究对象主要是简单的板和梁类结构，提出了一种计算复杂结构声辐射模态的方法，利用前两章研究所得的结论，将边界元方法与广义特征值的理论结合起来研究了复杂结构的声辐射模态与声辐射效率，先将结构的声辐射功率表示为一个正定的厄米特二(来源：ABb7C论文0909网www.abclunwen.com)次型，运用广义特征值分解求解了复杂结构的声辐射模态，然后利用声辐射模态关于阻抗矩阵与均方速度耦合矩阵的正交性，求解了复杂结构的声辐射效率，最后用具有解析解的脉动球与辐射立方体验证了该方法的有效性。

The first part "On Physics" tries to analyze the cause and effect of measurement problems, including its philosophy as viewed from historism. It expounds the main thought which hides after deep physics on the standpoint of philosophy. It also reviews the new physical picture of this new theory.

上篇&物理学诠释&先用历史主义的观点剖析&测量难题&的来龙去脉及其带来的哲学问题，并简单介绍了由此引发的模态解释的背景和定义；再从哲学的视角阐述模态解释深层的物理学思想内核和理论框架；最后全面、整体地透视模态解释所勾勒出的新的量子图景，并在此基础上提出&模态是一种物理实在，概率是对模态的定量描述&的全新思想。

The first part "On Physics" tries to analyze the cause and effect of measurement problems, including its philosophy as viewed from historism. It expounds the main thought which hides after deep physics on the standpoint of philosophy. It also reviews the new physical picture of this new theory.

上篇&物理学诠释&先用历史主义的观点剖析&测量难题&的来龙去脉及其带来的哲学问题，并简单介绍了由此引发的模态解释的背景和定义；再从哲学的视角阐述模态解释深层的物理学思想内核和理论框架；最后全面、整体地****模态解释所勾勒出的新的量子图景，并在此基础上提出&模态是一种物理实在，概率是对模态的定量描述&的全新思想。

Considering its complex geometric topology, multi states of self-equilibrium stress and modes of inextensional mechanisms, a prestress optimization strategy was proposed to solve the final feasible prestress distribution problem of the structures with multi states of self- equilibrium stress, where the decomposition and assembly method of modal matrix, the theory of structural equilibrium matrix and the singular value decomposition method were utilized.

考虑该结构几何拓扑复杂、多自应力模态与机构位移模态的特点，应用平衡矩阵理论与奇异值分解算法，通过模态矩阵的分解组合方法，给出一种具有一定普遍意义的预应力优化策略，使多自应力模态结构体系的最终可行预应力分布求解得以简便的实现。

This parameter canaccurately describe the degree of concentration of vibratory energy of the systemmodal shape in quantity. Using this parameter, the effects of mistuning on thelocalization of system modal shapes for various orders are studied. The reasons of themodal localization phenomenon are analyzed by the perturbation method.

利用所提出的模态局部化参数，研究了失谐对叶盘系统各阶模态局部化程度的影响规律，并利用摄动法对失谐所导致的模态局部化现象进行了分析；同时还发现，失谐叶盘系统的某些中间阶模态的局部化参数值在弱耦合区域的特定位置会产生奇异的突变现象，而这种突变现象是用摄动法难以解释的，并且可能会对失谐叶盘系统的振动稳定性产生重要影响。

In this paper, author also studied strain model theory, and proved that strain model is more sensitive than displacement model to damage.

本文研究了应变模态的理论，并从理论上证明了应变模态较位移模态对结构的损伤更加敏感。

The air damping analysis of the fence structural micromachined vibratory rate gyroscope shows that the air damping in the driving mode and the sensing mode of the device is slide film damping mainly, therefore the coefficient of damping force is comparatively little, and the quality factor of both them is close to.

栅结构微机械陀螺的空气阻尼分析表明，陀螺的驱动模态和检测模态受到的空气阻尼主要是滑膜空气阻尼，因此陀螺系统的驱动模态和检测模态的阻尼力系数较小，并且两者的品质因子接近。

In this thesis three kinds of piezoelectric transformers are investigated, including circular cylinder piezoelectric transformer of thickness-shear mode, cylindrical thin shell piezoelectric transformer of torsional mode and multi-layered rectangular plate piezoelectric transformer of thickness-twist mode.

本文研究了三种不同结构模态的压电变压器，包括基于厚度剪切模态的圆筒结构压电变压器、基于扭转模态的壳结构压电变压器和基于厚度扭转模态的多层矩形板结构压电变压器。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。