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弹性支承     
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  elastic support
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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  elastic supports
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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  flexible support
The application range of TLC plates with flexible support is expanded because plates of this type with a concentrating layer have not been used before.
      
Stability boundaries for fluid-conveying pipes with flexible support under axial load
      
We show how the constellation approach renders a flexible support of hierarchically organized, cooperative design processes possible, by employing specific transactions whose scope is limited to well-defined portions of a database.
      
Findings suggest consistency with as well as deviation from the supported housing approach in regard to consumer choice, typical and normalized housing, resource accessibility, consumer control and provision of individualized and flexible support.
      
Investigation of the functional characteristics of flexible support heart valve prostheses
      
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  spring support
By means of the above methods very rich complex dynamic behaviour is demonstrated for the beam system with one-sided spring support.
      
The dynamics of two-dimensional cantilevered plates with an additional spring support in axial flow
      
An additional spring support of either linear or cubic type is installed at various locations on the plate; its presence qualitatively affects the dynamics of the fluid-structure system.
      
Development of a Calculation Method for Spring Support Parameters
      
An engineering method is proposed for determining mine working spring support parameters.
      
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  其他


The sine series and polynomial are used as the basic function of the ends of finitestrip.The simply supported,clamped or free(including elastic supported and elastic slopesupported)ends can all form orthogonal system of triangular series,Thus the phenomenonthat coupling occurs in all conditions except when the ends are simply supported isavoided.The application of finite strip method is widened by using this method and thetotal stiffness matrix is made to appear as a band matrix.

本文用正弦级数与多项式做为有限条端部的基础函数.端部在简支、固定、自由(包括弹性支承、弹性转动支承)等条件下,都可构成三角级数的正交系.克服了Y.K.Cheung 除了两端简支条件外,其它端部条件均发生偶联.用本文方法扩大了有限条法的应用范围,而且使得总刚度矩阵呈带状.因此,本文为有限条法的重要进展.

The method for solving rectangular plates of variable thickness presented in paper [1]is only applicable to plates simply supported at two opposite edges.In this paper,the deflections of plates are expanded in a series of the eigenfunctions of the bucklingproblem in beams,so the above-mentioned method can be extended to problems of rectan-gular plates arbitrarily supported at two opposite edges with the exception of free edgeand elastic support.The results of calculation of examples given in this paper show...

The method for solving rectangular plates of variable thickness presented in paper [1]is only applicable to plates simply supported at two opposite edges.In this paper,the deflections of plates are expanded in a series of the eigenfunctions of the bucklingproblem in beams,so the above-mentioned method can be extended to problems of rectan-gular plates arbitrarily supported at two opposite edges with the exception of free edgeand elastic support.The results of calculation of examples given in this paper show that this method ismore convenient than certain others and the results obtained using this method are satis-factory,especially for solving problems of stability and free vibration in plates.

文献提出了一个关于变厚度矩形板问题的解法,不过它只适用于板有两条对边是简支的情况.本文利用梁屈曲的本征函数作为板挠曲函数的展开式,考虑这类函数的拟正交性质,推广了文献的结果,使它能够进一步求解两条对边任意支承(自由边和弹性支承边除外)的变厚度矩形板问题.文中实例表明这个方法比某些方法计算简便,特别是对于分析析的稳定和自然振动问题,得到了满意的结果.

The natural vibration problem of the rod can be treated by discretion as a natural vibration problem of a spring-mass system, using finite element method or finite difference method. In this paper discussion is made of the properties that the given data should have and the procedure of construction of the discrete system for a rod under arbitrary ends conditions. The major points of the programme and some numerical examples are also given.

杆件的固有振动问题,可用有限元方法或差分法离散化为一个弹簧-质点串联系统的固有振动问题。本文给出了由部分模态和相应频率构造任意端条件(两端固定,一端固定、一端自由,两端自由以及两端有弹性支承)下的离散系统的逆特征值解的存在、唯一性和解法。

 
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