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However, it may overlook the development of additional stress in the transverse direction of the slab due to the relative vertical displacement of the elastic support.


A lateral or a axial percussion at one end of a beam set up on elastic support produces bending or longitudinal vibrations.


The effects of the elastic support, the shear modulus and the height to length ratio are discussed.


Boundary conditions are formulated for fixed and elastic support.


Vibrations of a rotating thin disk, such as a floppy disk with a clamped inner circle, a free outer periphery and an elastic support at one point are analyzed with due consideration of the centrifugal force.

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to investigate strain increase in the transverse direction of the slab when the rigid supports are replaced by the elastic supports.


When existing simple span bridges are converted into continuous spans, rigid support conditions have to be changed to elastic supports in order to absorb and distribute the energy of horizontal motion due to an earthquake loading.


However, development of additional reaction forces and stresses on the slab due to unequal displacement of the elastic supports have been overlooked.


Durability of the concrete slab under the elastic supports is also discussed.


This is useful for certain bending problems of rectangular plate on elastic supports.

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The bending moment and displacement of a pile are determined considering the pile as an elastic bearing beam.


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 This paper deals with the effect of shear deformation arid rotary inertia on the frequencies ef flexural vibration of short turbomachinery blades and rotors. The ditferential equations of motion are derived and tranformed into a set of linear simultaneous algebraic equations by using Taylor's series. Results for short cantilever beams show good agreement with those obtained by other investigators. Finally, the critical speeds of welded disc turbine rotor are found by the conventional trial and error procedure.... This paper deals with the effect of shear deformation arid rotary inertia on the frequencies ef flexural vibration of short turbomachinery blades and rotors. The ditferential equations of motion are derived and tranformed into a set of linear simultaneous algebraic equations by using Taylor's series. Results for short cantilever beams show good agreement with those obtained by other investigators. Finally, the critical speeds of welded disc turbine rotor are found by the conventional trial and error procedure. Any critical speed may be calculated with equal ease. The rotor may have anv number of spans. The shaft journals may be considered to be elastically supported in the bearing. The socalled "gyroscopic effect" may be readily taken into account  本文探讨剪切变形和转动惯量对梁的固有频率影响的目的在于提高涡轮机高压级叶片和低压转子的振动特性理论计算值的精确度。将叶片或转子分成为不同形状截面的微段梁,在微分方程建立过程中考虑剪切变形和转动惯量的影响,应用泰乐级数计算函数近似值得到截面间的递推方程。应用这种方法,计算了悬臂梁和简支梁的固有频率。悬臂梁计算结果与国外其他作者的结果所进行的比较符合非常良好。最后,以焊接转子为计算实例,说明这种方法同样适用于弹性支承变截面多跨梁,还可以考虑陀螺效应的影响。  The dynamics of a elastically supported, dynamically tuned gyroscope under idealconditions is discussed in this paper. A new presentation of the theory of this gyroscopeis given, which helps obtain the principal results more simply, since the superfluousdeductive process, which appears so often in the existing literatures, is omitted. It alsohelps understand the physical essence of various mechanical phenomena of a tunedgyroscope.  本文讨论理想条件下弹性支承动力调谐陀螺仪的动力学。对陀螺仪的工作原理提出一种新的叙述方法,以便简捷地获得基本结论而避免现有文献中过于冗长的推导过程,并有利于理解调谐陀螺仪各种力现学象的物理本质。  The subsystem impedance analysis(SIA) is developed for the prediction of critical speeds of flexible supportrotor systems The flexible supportrotor system is divided into rotor and support subsystems.By assuming impedance values of the coupling points,the critical speeds of the rotor subsystem can be determined from its frequency equation.The displacement impedance of the support subsystem is determined experimentally,or,by theoretical calculation if the mathematical model of the support subsystem can be well... The subsystem impedance analysis(SIA) is developed for the prediction of critical speeds of flexible supportrotor systems The flexible supportrotor system is divided into rotor and support subsystems.By assuming impedance values of the coupling points,the critical speeds of the rotor subsystem can be determined from its frequency equation.The displacement impedance of the support subsystem is determined experimentally,or,by theoretical calculation if the mathematical model of the support subsystem can be well established.According to the conformity of the impedance at coupling points of subsystems,the critical speeds of the whole rotor system can be obtained graphically.Examples of rotor systems with single and double flexible supports are presented.Calculations and experimental results show that SIA is not only accurate and reliable,but is also an economical method for analytical and experimental research in rotor dynamics.  本文提出了预示弹性支承轴系临界转速的子系统阻抗分析法。将弹性支承轴系分为转子子系统与支承子系统,假定在交联点处的位移阻抗值,则可由频率方程式确定转子子系统的临界转速。支承子系统的位移阻抗特性可由试验求得,或者,当能够很好地建立支承子系统的数学模型时,也可由计算确定之。按照各子系统在交联点处的阻抗一致的条件,可以用图解法求得整个弹性支承轴系的临界转速。文中列举了具有一个与两个弹性支承的单盘轴系的若干例子。计算与试验结果表明,子系统阻抗分析法,是转子动力学分析与试验研究的一种准确可靠的、经济的方法。   << 更多相关文摘 
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