The plastic process analyses on uniform and non-uniform cylindrical upsetting were made in detail on the basis of the principle of generalized variational inequality with friction. 基於摩擦約束廣義變分不式原理，對圓柱體均勻鐓粗和圓柱體非均勻鐓粗金屬成形工藝問題進行詳細的塑性加工工步分析。
The general variational principle is employed in communicating information between subdomains with Lagrange multipliers, which yields a reduced-order coarse problem. 根據廣義變分原理，採用拉格朗日乘子在子區域之間交換信息，並建立其相應的粗問題。
