应用哈密顿原理，推导出均匀杆的纵振动方程与横振动方程。
The longitudinal and transverse vibrating equations of the homogeneous rod are deduced with Hamiltonian principle.
建立了纵振动力学模型，阐述了纵振路面谱的表达形式及应用方法。
The expression format and application method of longitudinal vibration road spectrum were described.
利用自制的实验设备研究电镀金刚石线锯的超声纵振动切割加工脆性材料。
The ultrasonic vibration cutting processing of electroplated diamond wire saw for hard and brittle materials was researched.
一维单原子链晶格振动与均匀杆自由纵振动的运动方程在数学上存在内在的联系。
The equation of lattice vibration of one-dimensional monatomic lattice and the equation of longitudinal vibration of a uniform bar are discussed.
本文对超声振动切削中有附加质量(刀具)的纵振动变幅杆的共振长度进行了理论计算。
This paper calculated the resonant length of longitudinal sonic amplitude transformer with additional mass (the tool) in supersonic vibration cutting.
将均匀杆自由纵振动运动方程中对空间的偏导数用差商代替，就得到一维单原子链晶格振动的运动方程。
Raplacing the spatial derivatives by spatial differences in the equation of the latter, we get the equation of the former.
通过与杆的纵振动波动方程与弦振动的一维波动方程中各个量的物理意义进行比较分析，得出扭转波是纵波的结论。
The result demonstrates that the twisting wave is longitudinal wave by anglicizing physical meaning of the longitudinal wave equation, transverse wave equation, and twisting wave equation.
另外还设计了一种非对称的多频纵振动换能器，其共振频率方程为：这种类型的多频纵振动换能器可以应用到超声清洗中。
Finally, an asymmetrical multi-frequency transducer is designed, the resonant frequency of transducer is obtained, that is, This type of transducer can be used in ultrasonic cleaning and other fields.
本文介绍关于两种转子叶片振动特性的比较研究，这两种叶片分别是用销钉和纵树形或燕尾形榫头联接到旋转轮盘上的。
This paper introduces a comparative study of vibration characteristics of two types of rotor blades that are attached to the disk by fir-tree root and pin respectively.
根据刚度耦合原理，并考虑轴系强迫激励进而建立了扭纵耦合强迫振动模型。
According to coupling principle and excited force of shafting system, a model of coupled torsional-axial forced vibration can be constructed.
提出了一种新型的单激励纵弯复合椭圆振动切削系统的结构。
The conditions to get the elliptic vibration and the design method of the system structure were also proposed based on above analyses.
本文建立了大型船舶柴油机推进轴系纵扭耦合振动计算的系统矩阵模型。
In this paper, a theoretical model based on system matrix method for calculating coupled axial and torsional vibration of large Marine diesel propulsion shafting is established.
系统阐述了大型船舶柴油机推进轴系振动的特点和规律，在此基础上建立了轴系纵扭耦合振动的系统矩阵理论计算模型。
On this foundation, a theoretical model based on system method for calculating coupled axial and torsional vibration of large ships diesel propulsion shafting is established.
设计并制造了一种单激励夹心式纵弯复合椭圆振动车削系统。
A single driven sandwich longitudinal and flexural composite elliptical vibration turning system is designed and manufactured.
采用摄动法研究了楔形杆轴的固有纵扭振动，并且推导出了其固有纵扭振动的振型函数及频率特征方程。
The natural longitudinal or torsional vibration of a wedge-shaped shaft is studied with perturbation method. The vibration mode function and the frequency characteristic equation are derived.
研究了在外载荷作用下锥齿轮传动转子系统纵弯扭耦合振动的不平衡响应。
The unbalanced responses of bevel geared rotor system under external torque in the coupled axial-lateral-torsional directions were studied.
提出了一种基于薄板面内振动的纵弯模式驻波直线超声波电动机。
A linear ultrasonic motor was put forward. Elliptical motions of the surface points of the stator are generated by the superposition of longitudinal and bending modes of the oscillating structures.
纵振与表面振动的总体相干水平不高，只在部分频率段具有较高的相干函数；
The results show that the surface vibration of the crankcase is induced by 3-D vibration of the crankshaft.
纵振与表面振动的总体相干水平不高，只在部分频率段具有较高的相干函数；
The results show that the surface vibration of the crankcase is induced by 3-D vibration of the crankshaft.
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