Optimal location of support points in the Kirchhoff plate
Optimal location of support points in the Kirchhoff plate
复制标题
基尔霍夫板中支撑点的最佳位置
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
S. Nazarov
中科院分区：
文献类型：
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作者：
G. Buttazzo;S. Nazarov
双调和方程的Dirichlet问题被认为是各向同性弹性板的Kirchhoff模型，其边缘固定。板在某些点P1，...，PJ处支承，即挠度u（x）满足Sobolev点条件u（P1）=u（PJ）=0.讨论了支撑点的最优位置，使得柔度泛函或最小挠度泛函均达到最小值。
The Dirichlet problem for the bi-harmonic equation is considered as the Kirchhoff model of an isotropic elastic plate clamped at its edge. The plate is supported at certain points P 1,…,P J , that is, the deflexion u(x) satisfies the Sobolev point conditions u(P 1)=⋯=u(P J )=0. The optimal location of the support points is discussed such that either the compliance functional or the minimal deflexion functional attains its minimum.