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OSCILLATION EQUATIONS OF RECTANGULAR PLATES IN LINEAR APPROXIMATION

机译:线性近似矩形板的振动方程

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This work discusses general oscillation equations of viscoelastic isotropic medium in linear approximation with and without consideration for initial shifts and stresses, as well as approximate oscillation equations with consideration for ambient environment and at small deformations. Under the impact of forces applied to continuous deformed body, the positional relationship of its particles varies, that is, the deformed body varies its shape and volume. This can be exemplified by compressed or tensioned rod. Mathematical description of deformation of solid body is given in this or that coordinate system. For instance, in Cartesian coordinates x1=x; x2=y; x3=z position of each point is defined by radius vector r ? and the components ? ? 1 2 3 x , x , x . After deformation, position of the point will be defined by another coordinates: ? ? 1 2 3 x?, x? , x? .
机译:该工作讨论了粘弹性各向同性介质的一般振荡方程,其线性近似和不考虑初始变速和应力,以及考虑到环境环境和小变形的近似振荡方程。在施加到连续变形体的力的影响下,其颗粒的位置关系变化,即变形体变化其形状和体积。这可以通过压缩或张紧杆来举例。在此或该坐标系中给出了固体变形的数学描述。例如,在笛卡尔坐标x1 = x; x2 = y; x3 =每个点的z位置由半径矢量r定义?和组件?还是1 2 3 x,x,x。变形后,点的位置将由另一个坐标定义:?还是1 2 3 x?,x? , X? 。
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