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杆系结构各单元在节点处的连接状态往往是介于刚接和铰接之间的某种弹性连接状态。作者推导了具有转动弹性连接的杆单元刚度矩阵和荷载转移矩阵 ,其中考虑了横向剪切效应。通常的两端铰接、两端刚接或一端铰接、一端刚接的杆元刚度矩阵只是作者所推导的刚度阵的一些特例。在指出弹性连接杆单元节点的弹性系数是模糊量后 ,给出了这种杆单元的模糊刚度阵 ,并给出了结构模糊有限元平衡方程的一种解法。得到的模糊解不仅包含了普通有限元法的结果 ,而且提供了有实际意义的附加信息。
The connection status of each unit of the rod structure at the node is often some kind of elastic connection state between the rigid connection and the hinged connection. The authors derive a rod element stiffness matrix and a load transfer matrix with rotationally elastic connections, taking into account the transverse shear effect. The usual two-end hinged, just connected at both ends or one end of the hinge, just one end of the rod stiffness matrix is just some special cases of the author’s deduction of the stiffness matrix. After pointed out that the elastic coefficient of elastic link element is fuzzy, the fuzzy stiffness matrix of such element is given and a solution to the structural fuzzy finite element equilibrium equation is given. The resulting ambiguous solution not only contains the result of ordinary finite element method, but also provides practical additional information.