中文摘要：

A new adaptive technique of r-and h-version for vibration problems utilizing the matrix per-turbation theory and element energy ratio is proposed.In structural vibration analysis,through the r-conver-gence adaptive finite element process,mesh optimization can be realized.In the light of the judgement on thechanges in the magnitude of the element energy ratio,local refinement can be achieved in the process of h-convergence adaptive finite element so that more accurate finite element solutions can be obtained with as fewmeshes as possible.Many numerical examples are given and the proposed approach is shown to be feasibleand effective.

英文摘要：

A new adaptive technique of r-and h-version for vibration problemsutilizing the matrix per- turbation theory and element energy ratiois proposed. In structural vibration analysis, through the r-conver-gence adaptvie finite element process, mesh optimization can berealized. In the light of the judgement on the changes in themagnitude of the element energy ratio, local refinement can beachieved in the process of h- convergence adaptive finite element sothat more accurate finite element solutions can be obtained with asfew meshes as possible. Many numerical examples are given and theproposed approach is shown to be feasible and effective.