The authors presented a structural damage identification method based on generalized flexibility matrix.

Furthermore, the generalized stiffness matrix of a generalized strip element .

It is proved that when A is a nonsingular generalized ultrametric matrix,then the Hadamard product Ao A~T is also a generalized ultrametric matrix and its inverse is an M- matrix.

Damage identification of main girders for long span cable-stayed bridge based on flexibility matrix;

Study indicates that flexibility matrix is a kind of powerful method of structure damage detection.

The explicit unified expression of element compliance matrix and the explicit formulations for the displacements of element nodes are derived from the concept of base forces.

The process of elastohydrodynamic analysis combined with compliance matrix was described,and an elastohydrodynamic calculation was done using ORBIT as tools with compliance matrix on conrod big-end bearing of a 4 cylinder in-line diesel engine.

An explicit expression of element compliance matrix of the finite element method for arbitrary meshes is derived using the base forces.

A new concept of generalized flexibility is introduced based on the platform response spectrum for identifying the platform damaged in different positions and changed in deck mass as well as the foundation relaxation.