板的非线性热弹耦合振动（Ⅰ）：近似解析解

本文以文[2,3,4]为基础,导出了板的热弹耦合非线性振动控制方程,在采用Galerkin法离散化以后,按各个变量性质分别用多尺度法或正则摄动法求得近似解析解。籍此可揭示系统各参数对非线性热弹耦合振动影响的机理和作出必要的近似计算,对工程实际具有较大的参考价值。     

轧机主传动系统动态特性计算与分析

本文把轧制状态下的大型可逆式轧机主传动系统建立成一个完整的力学模型，而并非将上下辊系分割开进行研究．精确地反映了实际轧制过程中轧制系统的动态特性，并用带原点位移的双步ＱＲ法，算出系统的特征对．根据系统的输入，用计算机模拟的方式输出系统的扭矩放大系数，从而得知系统设计的正确性，为轧制系统的优化设计提供依据和有效的方法．     

达朗贝尔法的推广及其在简支梁自由振动中的应用

达朗贝尔法和分离变量法是求解弦、杆、轴的自由振动微分方程（波动方程）的两种基本方法；达朗贝尔法把振动位移处理成运动方向相反的两组无限多个行波的叠加，分离变量法则把振动位移处理成无限多个驻波的叠加，所以亦称前者为行波法，称后者为驻波法．这两种方法所得到...     

气炮用锰铜应力计

本文介绍一种气炮用锰铜应力计测量系统,并给出了两种锰铜计的标定实验数据和曲线。     

集中量与分布量的统一处理

本文介绍了利用δ函数统一处理集中量和分布量的一般方法;着重讨论了这种方法在建立含集中量的弹性体振动微分方程,简化边界条件,统一初始激励和持续激励等方面的应用;对求解具有复杂边界条件的弹性体自由振动问题提出一种新的构思和方法;对脉冲响应函数的应用作了推广。     

粘弹性Timoshenko梁的自由振动

本文利用Kelvin-voigt模型研究了粘弹性梁的横向自由振动.指出对于各向同性的粘弹性体,剪应力与角应变之间的关系应为: 据此导出了考虑剪切变形效应和转动惯量效应的粘弹性梁的运动微分方程,并求得了粘弹性简支梁固有频率的解析解。数值计算表明,对于高阶频率,剪切变形和转动惯量的影响均不可忽视,且剪切变形的影响更为重要。对于低阶频率,粘性的影响可以不加考虑。     

结构声振研究的功率流方法

功率流方法是近年来研究柔性结构动态特性的主要手段, 其计算可分为低频段、中频段和高 频段. 本文讨论了有限元法、导纳功率流法、统计能量分析法、能量有限元法、参数化统计 能量分析法、子结构法、Lagrange乘子混合法、有限元/统计能量分析混合法、有限元/功 率流有限元混合法等方法, 各种方法适用频段各不相同, 综合应用这些方法, 可以解决绝大 多数声振预测问题.     

水轮发电机转子偏心引起的非线性电磁振动

由于机械和电磁相互耦合,水轮发电机的电磁振动具有强非线性特征。根据不平衡磁拉力与转子偏心的非线性函数关系,通过简化的各向同性的单圆盘转子系统,建立了水轮发电机转子电磁振动的非线性系统。利用非线性振动理论的多尺度方法,从理论上分析了该系统强迫振动的稳态响应,进而研究了水轮发电机转子偏心引起的电磁振动。研究发现不平衡磁拉力使系统的涡动频率下降,使运动的中心发生变化;并且会引起两倍转频的振动。最后用模型转子仿真试验的结果验证了这些理论分析的结论。     

A SIMPLIFIED CALCULATING METHOD OF NONLINEAR FREQUENCY OF CABLE NET UNDER MEAN WIND LOAD

The cable net supported glass curtain wallas the most advanced technique in dot point supported glass curtain wall, is widely used in China. Because of its large deflection and high nonlinearity under wind load, the dynamic performance of the cable net is greatly different from that of the conventional linear structures. The continuous membrane theory is used to construct the nonlinear vibration differential equation of the cable net, and the harmonic balance method is used to solve the analytic formula of the nonlinear frequency. In order to verify the accuracy of the above analytic formula, the results of the formula and the nonlinear FEM time-history method are compared and found to be in good agreement. Furthermore, the nonlinear vibration differential equation and the nonlinear frequency obtained in this paper are the basis for the wind-induced response analysis of a cable net under fluctuating wind load.     

FREE VIBRATION OF ANISOTROPIC RECTANGULAR PLATES BY GENERAL ANALYTICAL METHOD

According to the differential equation for transverse displacement function of anisotropic rectangular thin plates in free vibration, a general analytical solution is established. This general solution, composed of the composite solutions of trigonometric function and hyperbolic function, can satisfy the problem of arbitrary boundary conditions along four edges. The algebraic polynomial with double sine series solutions can also satisfy the problem of boundary conditions at four corners. Consequently, this general solution can be used to solve the vibration problem of anisotropic rectangular plates with arbitrary boundaries accurately. The integral constants can be determined by boundary conditions of four edges and four corners. Each natural frequency and vibration mode can be solved by the determinate of coefficient matrix from the homogeneous linear algebraic equations equal to zero. For example, a composite symmetric angle ply laminated plate with four edges clamped has been calculated and discussed.