模态

It provided a basis for building more accurate dynamical model. 4. Based on AD250 articulated dump truck multi-rigid body dynamics model, flexiblemulti-body models of suspension components for which the deformations are relatively important were built using finite element method. Modified Craig–Bampton modal synthesis and flexible multi-body methods were applied to build rigid-flexible coupling multi-body model of the truck. Dynamic simulations with different road profiles were performed.

基于AD250铰接式自卸车多刚体动力学模型，应用修正的Craig–Bampton模态综合法，对车辆行驶过程中相对变形较大的悬架杆件进行模态分析，把生成的模态中性文件引入到多刚体模型中取代相应的刚体，建立了相对多刚体模型更符合工程实际的整车刚柔耦合多体动力学模型。

The transverse wave disturbance along tangential base flow of circular vortex is discussed By using numerical method we study this instability of baroclinic flow which is mesoscale inertia wave instability on the cylindrical coordinate The influence of stratification stability N 2 , Coriolis parameter f 0 , the vertical shear of tangential wind z of the ambinent atmosphere and the latent heat on the growth rate of instability is studied From the above analysis and calculation, we can learn that there are Eady mode and mesoscale mode of transverse wave instability in circular vortex as well Furthermore we also learn that distribution character of mesoscale mode disturbance field of transverse wave instability, anomalistic "cats eye" structure of lower level and the character of the slowly spreading disturbance converges at low level and the quickly spreading disturbance converges at high level

作者中文名：李红金；陆汉城；宋晓亮；李鲲摘要：讨论涡旋大气中，存在沿切向基流传播的横波型扰动，并采用数值方法讨论了柱坐标系下圆形涡旋系统斜压气流中这类扰动的不稳定，这是一类中尺度的重力惯性波的不稳定。研究了涡旋环境大气的层结稳定度参数N2、切向风垂直切变Vz、凝结潜热、涡旋特性及科里奥利参数f0对不稳定增长率的影响。圆形涡旋中同样存在横波不稳定的Eady模态和中尺度模态，得到了中尺度模态的扰动场分布特征：流场的不规则"猫眼"结构及慢速传播的扰动均集中在低层，而快速传播的扰动均集中在高层的扰动特征。

For analysis of traditional experimental modal, hammer and shaker are often used to force the structure as the clamped-clamped beam to raise the vibration of the structure, meanwhile accelerometer is placed on the structure as a sensor, then the modal parameter could be found.

传统实验模态分析大多使用冲击鎚或激振器施加点力於结构例如固定梁，做为驱动器激发结构的振动，利用加速度计做为感测器置於结构上，以求取结构之模态参数，但传统之模态实验设备都有实验操作不易以及价格昂贵的缺点。

Disjunction normal form theorem in the modal logic system S5 is inductively proved, which can be used for representing complex modal formulas by means of conjunction and disjunction of simplest modal formulas with depth at most 1 in the system S5. As application, it is proved that a knowledge base could answer KB-queries if and only if it could answer queries of non-modal propositions and their negations, which is a basic problem on knowledge base.

研究了模态逻辑系统S5中的析取范式定理的归纳证明，给出了在S5中用深度至多等于1的最简模态公式通过析取与合取运算表示含有多重模态词的公式的方法，作为范式定理的应用，讨论了知识库中的一个基本问题，证明了知识库能够回答KB命题式问题的充要条件是该知识库能够回答相关的非模态命题及其否定命题的问题。

In this topic, the dynamic analysis methods for piezoelectric vibrator are studied systematically based on the theoretical model, FEM numerical experimentation and FEM governing equation for given compound-mode vibrator, and some valuable conclusions are obtained. The main work accomplished is summarized as follows: 1.Elaborate the main modeling methods for piezoelectric vibrator and the significance and necessity to study the dynamic characteristics of piezoelectric vibrator which emphasize the urgency of this paper. 2.Take the bending deformation induced by piezoelectric ceramic as example, the energy transfer mechanism of electric energy to mechanical energy are analyzed; the motion and force transfer mechanism are analyzed for the longitudinal-bending vibrator. 3.Based on mode assumption and Hamilton principle, the coupling model of piezoelectric vibrator of linear USM is built; moreover, the equivalent circuit model is obtained and a coupling equation represents the relation between electric parameters and mechanical parameters is derived which provides foundation to match the vibrator and driving circuit. 4.Combine the constitutive equation of piezoelectric ceramic with elastic-dynamical equation, geometric equation in force field and the Maxwell equation in electric field and the corresponding boundary condition equation, the FEM control equation for piezoelectric vibrator of USM to solve dynamic electro-mechanical coupling field is established by employing the principle of virtual displacement. The equation lays the foundation to study the non-linear constitutive equation of piezoelectric ceramic driven by high-power. 5.Define the dynamic indexes of characteristic of vibrator and carry out variable parameters simulation by calculating the model parameters and the electric characteristics of vibrator are simulated according to the equivalent circuit model. By numerical experimentation, the working mode of vibration of vibrator and the shock excitation results of the working frequency band which provides the mode frequency to realize bimodal are analyzed. Detailed calculation of the electro-mechanical coupling field parameters is made by programming the FEM control equation.

本课题从理论模型、有限元数值试验、有限元控制模型等方面以复合振动模式振子为例对超声电机压电振子的动力学特性及其分析方法进行了全面系统地研究，得出了许多有价值的结论，主要概括如下： 1、阐述了目前针对超声电机压电振子的主要建模方法，对压电振子动态特性的研究意义和必要性进行了论述，突出了本文研究内容的迫切性； 2、以压电陶瓷诱发弹性体发生弯曲变形为例，分析了压电陶瓷通过诱发应变来实现机电能量转换的机理；对基于纵弯模式的压电振子的运动及动力传递机理进行了分析； 3、基于模态假定，利用分析动力学的Hamilton原理，建立了面向直线超声电机压电振子的机电耦合动力学模型，并据此建立了压电振子的等效电路模型，导出了电参量与动力学特性参量的耦合方程，为压电振子与驱动电路的匹配提供了依据； 4、从压电陶瓷的本构方程出发，综合力场的弹性动力学方程、几何方程、电场的麦克斯韦方程以及相应的边界条件方程，采用虚位移原理，建立了压电振子动态问题机电耦合场求解的有限元控制方程，为研究其大功率驱动下的非线性本构模型奠定了基础； 5、界定压电振子的动力学特性指标，对压电振子的机电耦合动力学模型参数进行计算及变参数仿真；依据等效电路模型，对压电振子的电学特性进行了仿真分析；通过有限元数值实验，对压电振子工作模态附近的模态振型及工作频率附近的频段进行了激振效果分析，找出了实现模态简并的激振频率；利用有限元控制方程，通过编程计算，对压电振子的力电耦合场参数进行了详细计算，得出了一些有价值的结论。

Part Three The study of Lattice-valued Modal First-order Logic System and Its Resolution Principle In this part, we introduced quantifiers and predicate into LMP, put up lattice-valued modal first-order logic system LMF, and gave its semantic interpretation and syntax structure, proved soundness theorem and consistence theorem. Moreover, in order to judge the satisfiability of formula, defined Skolem standard type and H-interpretation. Based on these work, made a primary discussion of a - resolution principle based on LMF.

第三部分：关于格值模态一阶逻辑系统及其归结原理的研究第n页西南交通大学博士研究生学位论文这一部分主要是在格值模态命题逻辑系统LMP队）中引进量词和谓词，建立格值模态一阶逻辑系统LMF（广并给出其语又解释和语法结构，证明了系统的可靠性和协调性；另外，为了判断公式的可满足性，定义了格值模态一阶公式的 Skolem标准型和体解释；在此基础上，对基于系统LMF的a一归结原理进行了初步探讨。

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。

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％。