协调与非协调元在板弯曲问题中的数值模拟及应用OA

The study of plate problems plays a crucial role in understanding the load-bearing capacity,deformation,stability,and vibration behavior of plate structures.Mathematically,such problems are typically formulated as the solution of bihar-monic equations.In this work,we perform numerical simulations for clamped and simply supported plates using both con-forming and non-conforming finite elements on rectangular and triangular meshes.The conforming elements adopted include the Bogner-Fox-Schmit(BFS)element and the Argyris element,while the non-conforming elements consist of the Adini and Morley elements.Numerical results demonstrate that all employed elements achieve the theoretically optimal error conver-gence rates.Finally,the proposed methods are successfully applied to a practical plate problem,yielding efficient and accurate simulation results.