Dynamic Analysis of Inelastic Space Frames

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Abstract
Associated with each joint is a rigid body (having six degrees of freedom) formed by a lumping procedure applied to the mass of the incident members. As long as elasticity is not exceeded, the members are considered to possess continuous flexibility. When yielding occurs at a member end, a small portion of the member is replaced by an elasto-plastic segment with lumped flexibility. If the segment length is set equal to zero, it corresponds to the concept of a plastic hinge. The behavior of the lumped flexibility (considered as a black box) is governed by a prescribed plastic potential function. Three numerical examples are given in which interactions of the axial force, two bending moments, and torsional moment are considered. One example deals with the response of a 2-story, 2-bay steel frame to earthquake shocks.

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