基于动力学方程、本构关系和应变-位移关系建立了小变形粘弹性梁的振动方程。
Based on the dynamical equation, the constitutive relation and the strain-displacement relation, the vibration equation of small deflection beams was derived.
本文应用哈密顿变分原理较简捷地建立了厚梁横向振动的微分方程。
The differential equation for transverse vibration in thick beam is easily established by applying the Hamilton's variance principle.
研究含外力和阻尼项一类梁的横振动方程解的率减率。
We study the decay rate of solutions of beam equations with damping and external force.
采用折算系数法，建立了组合梁振动的运动微分方程，并对其振动特性进行了分析。
The differential equation of the vibration of combined beam is set up and its vibration characters are discussed in this paper.
基于力学振动原理，导出谐振器振动的微分方程，讨论了振梁型加速度计的设计原理。
Based on mechanics of vibration, the resonant differential equation of resonator is derived, and the design principle is discussed for the vibrating beam accelerometer.
推导了弹性支承梁的横向自由振动模态的特征方程。
The latent equation of the freely vibration modes of elastic bearing beam is deduced.
推导了复合梁在温度变化情况的回复力方程和复合梁的振动频率和温度间的关系方程。
The recovery force equations and the relational equations of frequency and temperature were derived from above four constitutive models respectively.
建立了组合梁在任意边界条件下振动与稳定性的状态空间控制方程和振动频率与轴压载荷之间的相互关系式。
The state space equations for vibration and stability of composite laminated beams under axial compression have been derived for arbitrary boundary conditions.
方程表明载流梁在磁场中的横向固有振动是一个典型的非线性问题。
The equation indicated that the beam's natural lateral vibration was a typical issue.
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.
给出了弹性支承桥梁和车体的振动方程并通过对具有弹性支座简支梁主振动的分析，得出了梁主振型的解析公式。
The principal vibration of a simple beam with elastic supports was analyzed and the analytical formulation of normal vibration mode was derived.
应用流体的势流理论及悬臂梁振动方程，本文分析了悬臂梁流体悬臂梁耦联系统的自由振动问题。
Based on the potential flow theory of liquid and vibration equation of cantilever beam, the free vibration problem of cantilever beam liquid cantilever beam coupled system is analyzed in this paper.
导出了用变形、内力作为混合状态变量表示的求解等截面梁的横向振动固有频率的普遍方程。
The deformations and the internal forces at a cross section of a beam are taken as state variables to formulate a general equation for computing the natural frequencies of non-uniform beams.
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.
本文将拱坝这样一种几何形状和边界条件都比较复杂的壳体结构划分为梁拱两组子结构，利用它们的一维模态建立动力方程求解振动问题。
A method is presented here for the dynamic analysis of arch dams by means of vibration modes of one dimensional arch and cantilever elements.
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.
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.
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