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free transverse vibration
相关语句
  横向自由振动
     Free Transverse Vibration of Straight Beams with Stepped Cross Sections
     阶梯形截面直梁的横向自由振动
短句来源
     The characteristic equation of free transverse vibration mode of elastic bearing beams is deduced, and the non dimensional characteristic values of anterior steps reflecting the fixed frequency are calculated for several different elastic bearing beams. The elastic bearing beam method is developed for mode analysis of rigid frames.
     推导了弹性支承梁横向自由振动模态的特征方程 ,计算了几种不同弹性支承梁的前几阶反映固有频率的无量纲特征值 ,提出了刚架模态分析的弹性支承梁方法 .
短句来源
     The free transverse vibration in an axially moving beam on fixed support is investigated by wave propagation.
     用波传播法分析研究了两端固支轴向运动梁的横向自由振动
短句来源
  “free transverse vibration”译为未确定词的双语例句
     A New Solution to Free Transverse Vibration of Straight Beam with Elastical Supports of Arbitrary Spans
     任意跨弹性支承直梁横向自振的一个新解法
短句来源
     NONLINEAR FREE TRANSVERSE VIBRATION OF AN AXIALLY MOVING BEAM:COMPARISON OF TWO MODELS
     两种非线性模型轴向运动梁自由振动的比较
     A New Analytical Solution to Free Transverse Vibration of Circular Plates with Concentric Ring Supports
     环支圆板横振特性的一个新的解析解法
短句来源
     Nonlinear free transverse vibration of an axially moving beam is investigated.
     本文研究了轴向运动梁的横向非线性自由振动。
  相似匹配句对
     transverse, and D.
     D. transversa,D.
短句来源
     THE TRANSVERSE GEOMETRIC EFFECTS IN A FREE ELECTRON LASER
     自由电子激光器的横向几何效应
短句来源
     Transverse Free Vibrations of Continuous Equispan Beams on Springs
     弹性点支连续等跨梁的横向振动(Ⅰ)──自由振动
短句来源
     On f-free Subsets
     关于f-free子集
短句来源
     The method is free from
     方法检出限为0.02μg/ml,对0.5μg/ml As的样品测定,其RSD(n=10)为1.5%。
短句来源
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  free transverse vibration
Results demonstrate that definitive instability information can be obtained for a beam moving longitudinally over supports based on the frequencies of free transverse vibration of a beam that is longitudinally fixed.
      
Free transverse vibration of a circular plate is considered by assuming the displacement components as an infinite series in the thickness coordinate.
      


This paper presents a new analytical solution to free transverse vibration fo straight beam with elastical supports (including rotational elastic supports)of arbitrary spans. The analytical solution of the dynamic response of the forced transverse vibration of the beam is obtained through regarding the reaction forces (including the reaction moments) of the elastical supports on the beam as the unknown external forces acted on the beam and the undecided integral constants are given by the boundary...

This paper presents a new analytical solution to free transverse vibration fo straight beam with elastical supports (including rotational elastic supports)of arbitrary spans. The analytical solution of the dynamic response of the forced transverse vibration of the beam is obtained through regarding the reaction forces (including the reaction moments) of the elastical supports on the beam as the unknown external forces acted on the beam and the undecided integral constants are given by the boundary condition of the beam. The frequency equation is described by a determinant which is derived by the linear relationship between the reaction forces (including the reaction moments) of the elastical supports on the beam and the displacements (including the rotational angles) of the beam at the supports and its order is equal to the number of the elastical supports. The mode shape function is described by a unified analytical representation. The rigid supports are the special cases of the elastical supports in this paper. The frequency equations at several common boundary conditions are performed and finally a numerical example is given.

本文给出了任意跨弹性支承(包括扭转弹性支承)直梁横向自由振动的一个新解析解法,将弹性支承反力看作是作用于梁上的未知外力,求得了直梁横向受迫振动响应的解析解,由边界条件确定待定的积分常数,利用支承处支承反力与梁位移间的线性关系导出频率方程,频率方程是以阶数等于弹性支承个数的行列式表示的,振型函数则以统一的解析式表示,刚性支承是本文特例。本文具体导出了几种常见边界条件下的频率方程,最后给出了一个算例。

This paper studies the problem of free transverse vibration of circular plates with an arbitrary number of the concentric elastic ring supports, a new analytical solution is presented. The analytical solution of dynamic response of the circular plate is obtained by regarding the reaction forces of the elastic ring supports as the unknown external forces acted on the plate. The integral constants of the solution are decided by the boundary conditions of the plate. The reaction forces of elastic ring supports...

This paper studies the problem of free transverse vibration of circular plates with an arbitrary number of the concentric elastic ring supports, a new analytical solution is presented. The analytical solution of dynamic response of the circular plate is obtained by regarding the reaction forces of the elastic ring supports as the unknown external forces acted on the plate. The integral constants of the solution are decided by the boundary conditions of the plate. The reaction forces of elastic ring supports are decided by the linear relationship of the reaction forces and the displacements at supports. The frequency equation is described by a determinant whose order is equal to the number of the elastic ring supports. The eigen-frequencies can be given by the searching root method of determinant. The mode shape functions are described by an analytical representation. Finally, an example is given and the numerical results are compareed with those obtained.

本文研究受任意个同心弹性环支图板的横向自由振动问题,给出了一个新的解析解法。对弹性环支反力表示为作用于圆板上的待定外力,在求得圆板受迫振动的解析式后,由圆板的边界条件决定积分常数,利用环支处板位移与环支反力之间的线性关系得环支反力,并得频率方程。它是一阶数等于环支个数的行列式,可由行列式搜根法数值计算各阶固有频率,而振型函数则用一解析式表示,本文最后给出了一个算例,并与已有结果进行了比较。

This paper presents a new analytical solution to free transverse vibration ofcircular plates with arbitrary number of concentric ring supports。The analytical solution ofdynamic response of the circular plate is obtained by regarding the reaction forces of thering supports as the unknown external forces acted on the plate。The integral constants aredecided by the boundary conditions of the plate,The reaction forces of ring supports aredecided by the condition of zero displacements at the ring supports。 The...

This paper presents a new analytical solution to free transverse vibration ofcircular plates with arbitrary number of concentric ring supports。The analytical solution ofdynamic response of the circular plate is obtained by regarding the reaction forces of thering supports as the unknown external forces acted on the plate。The integral constants aredecided by the boundary conditions of the plate,The reaction forces of ring supports aredecided by the condition of zero displacements at the ring supports。 The frequency equationis a determinant whose order is equal to the number of ring supports。 The eigenfrequencies of the plate can be given numerically. And the mode shape function is describedby an analytical representation。

该文给出了受任意个同心环支圆板横振特性的一个新的解析解法,将环支反力视为作用于板上的待定外力,在求得板受迫振动的解析解后,由边界条件确定积分常数,利用环支处板位移为零条件决定环支反力,所得频率方程是一阶数等于环支个数的行列式,可数值计算出固有频率,而振型函数用一解析式表示。

 
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