| 1. | Frequency equation of axisymmetric guided waves in composite structures of bonding metal bars
锚固金属杆复合结构中轴对称导波的频散方程 |
| 2. | Based on the equivalent circuit , the resonance frequency equation is derived and the resonance frequency is obtained
在此基础上，推出了弹性薄圆盘径向振动的频率方程以及振子共振频率的表达式。 |
| 3. | By means of the numerical methods , the root of the resonance frequency equation is solved , and the relation between the roots and the poisson ' s ratio is obtained
利用数值法，得出了不同材料弹性薄圆盘径向振动超越频率方程的一系列根。 |
| 4. | In order to avoid the domain integral , the above two equations are simultaneously solved , and the corresponding expression of frequency equations are obtained rapidly and accurately
为了避免求域内项的积分，将上述两个方程进行联立求解，快速、准确地得到薄板结构的频率方程表达式。 |
| 5. | Based on equivalent four - terminal networks of the longitudinal ultrasonic transformer , the resonant frequency equation and the amplitude magnification coefficient , with reactive load , are studied
摘要在负载为纯力抗的状况下，利用纵振型变幅杆等效四端网络，对频率方程和放大系数进行了研究。 |
| 6. | In this article based on vibration theory of the flexural plate , the frequency equation , the equivalent mass and radiation impedance are derived and further , design theory is introduced
本文从薄圆板弯曲振动理论出发，推导了这种阶梯圆盘的频率方程、等效质量、等效弹性和辐射阻抗，并进而提出了这种阶梯圆盘的一般设计方法。 |
| 7. | According to several boundary conditions , the frequency equation of flexural circular plate is calculated . similarly some coefficients in the displacement distribution can also be acquired , which provide a preparation for further study
在求得频率的基础上，进一步求解了与之对应的归一化了的振形曲线系数，从而为后面的计算铺平了道路。 |
| 8. | Based on the transfer - matrix method , the general expressions of equivalent four - terminal network parameters of varying section torsional horn are derived , the relations between frequency equation and both the rotational velocity amplification and that of the surface tangential velocity of stepped type torsional ultrasonic horn with transitional section of cosine - like type are obtained
摘要基于传递矩阵算法，推导出了变截面杆扭转振动时等效四端网络参量的一般表达式，研究了带类余弦过渡段阶梯形变幅杆扭转振动频率方程与角速度放大倍数及外表面切向速度放大倍数等的关系。 |
| 9. | At the same time , the first - order and the second order recurrence relations of transfer matrix and the vectors of every section are derived . based on the boundary conditions , the frequency equations of the zero - order , the first - order and the second - order perturbation of the bridges with random parameters are given as follows : the frequency equations are solved by numerical value method . and the results of eigenvalues of the zero - order , the first - order and the second - order perturbation are subsequently produced
再利用矩阵的奇异值分解理论，对末端截面的传递矩阵进行奇异值分解，推导出求解末端截面状态向量的零阶、一阶、二阶的计算公式：根据末端截面状态向量的计算结果，由截面状态向量递推关系式可以解出各截面状态向量数值，由此得到特征向量的零阶、一阶、二阶摄动结果。 |
