Method for determining performance state of any point in displacement space of three-dimensional plastic hinge

The invention discloses a method for determining the performance state of any point in a displacement space of a three-dimensional plastic hinge. The method comprises the following steps: (1) determining the initial displacement yielding surface of the three-dimensional plastic hinge; (2) determining the displacement performance surface of the three-dimensional plastic hinge; (3) selecting a point O on the initial displacement yielding surface, connecting any point M in the displacement space of the three-dimensional plastic hinge with the point O to form a straight line, and determining the performance state of the point M in the displacement space according to a correction energy-requiring ratio, wherein the straight line is intersected with the initial displacement yielding surface at a point R, and is intersected with the displacement performance surface at a point Q, and MR/QR is defined as the correction energy-requiring ratio. According to the method, the performance state of any point in the displacement space of the plastic hinge can be easily determined to judge the performance of an actual structure under the action of a certain load and guide structural design, and the method is particularly applied to the design and the analysis of earthquake resistance of the structure.