考虑箱形截面梁剪力滞后效应的影响，利用推导出的箱形截面梁的弯曲振动方程及其自然边界条件，并据此进一步推导出了多跨箱形截面梁的固有频率方程。
Thinking over the influence of box beams shear lag effect, making use of the governing different equations and related natural boundary conditions of bending vibration to box girder.
将杆作自由振动的微分方程作降阶处理后，和梁的弯曲理论作类比，给出了一个迭代算法。
After reduce the bar's free vibration differential equation to a lower order, we analogize it to the bending theory of the beam and gives an iterative procedure.
建立了水流诱发长跨平板闸门顺水流方向弯曲振动自激响应的数学模型，通过试验确定了振动方程中的参数，达到可预报闸门振动的目的。
The differential equation of long span plate of flexual vibration is established in this paper. The parameters in the equation are determined by the model experiment.
引入运算符号，导得带任意个集中质量的梁弯曲振动频率方程和振型函数新的解析表达式。
By means of a symbol of operation, the new analytical expressions of the frequency equation and the modal function of lateral vibration of a beam with lumped masses were derived.
通过对阶梯式弯曲振动镗刀杆的理论分析，推导出了圆形截面和矩形截面组合的阶梯弯曲振动镗刀杆的频率方程，并对阶梯弯曲振动镗刀杆进行了试验研究。
Based on theoretical analysis of stepped bending vibration boring bars, the frequency equation of a stepped bending vibration boring bar with circular and square sections is established.
为了解决舰船结构的振动噪声预报及其控制问题，以能量密度为变量，获得了薄板结构受激励产生弯曲振动时的能量密度控制方程，并得到了控制方程的有限元解。
To better forecast and control the structural vibration and noise of naval vessels and other kind of ships, the energy finite element method was introduced.
为了解决舰船结构的振动噪声预报及其控制问题，以能量密度为变量，获得了薄板结构受激励产生弯曲振动时的能量密度控制方程，并得到了控制方程的有限元解。
To better forecast and control the structural vibration and noise of naval vessels and other kind of ships, the energy finite element method was introduced.
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