By analyzing the torsional and flexural vibrations of a spur gear transmission system which consists of gears, shafts and bearings and taking into consideration the influence of gear eccentric mass and tooth contact frictional force on the system vibrations, the dynamic model of an involute spur gear transmission system is established by using of Lagrange method.
通过对由齿轮、轴与轴承所组成的齿轮传动系统中弯曲振动、扭转振动和横向振动问题的分析，并考虑到齿轮质量偏心和轮齿啮合摩擦力对系统振动的影响，应用拉格朗日方程，建立了一对渐开线直齿轮传动系统振动的数学模型。
Through the method ever used by Karman-Howarth in research of the like turbulence in all direction, the thesis explores the flexural vibrations of a kind of non-linear straight beam under the random load, and presents a simple and practical approximate method adopted in structural dynamic response analysis.
本文利用Karman-Howarth在各向同性湍流研究中提出的方法讨论了一类非线性等直梁在随机载荷作用下的弯曲振动，给出了一种用于结构动力响应分析的简单而衫的近似方法。
Timoshenko equations for the flexural vibrations of bars with non-uniform cross section are deduced from three-dimensional elasticity theory, and the range of their validity is discussed.
从三维弹性力学的基本原理出发，论证了对称变截面杆弯曲振动的Timoshenko方程的正确性，并讨论了它的适用范围。
The planar torsional vibration of an arbitrary planar rod and the planar flexural vibrations of an axially compressed straight rod and a ring without torsion are discussed when the ends of the rod are fixed. The natural frequencies and the damping coefficients are derived.
讨论两端固定条件下任意形状杆的平面扭转振动，以及无扭转的轴向受压直杆和圆环杆的平面弯曲振动，导出其自由振动频率和阻尼系数。
Locally resonant elastic wave band gaps in flexural vibrations of slender beams
细直梁弯曲振动中的局域共振带隙