摘要
理论研究两个关于振动问题的逆或优化问题。第一个问题是由光滑边界振动体的部分边界测量数据再构振动体内部场。第二个问题是利用部分边界的边界应力分布或变化边界形状控制表面位移分布。
Two inverse or optimal problems in vibration problem are considered in this paper. The first one is the reconstruction of interior field from simply connected smooth partial surface displacement data. The second one is an optimal problem of displacement distribution by controlling partial surface traction distribution or varying the surface shape etc. The uniqueness of the problems is proven in this paper.
基金
山东省科委课题资助
