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A Nonlinear Analysis of Statically Loaded Plane Frames Using a Discrete Element Model
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1972-05-01
[PDF-11.18 MB]
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Abstract:A discrete element analysis which considers geometric, material, and support nonlinearities of statically loaded plane frames is developed. A computer program has been written to implement and verify the analysis. Frame geometry, loads, cross sections, and supports (nonlinear concentrated and distributed springs) can be sufficiently general to work practical frame problems. The method of analysis is based on an iterative procedure called the tangent stiffness method. Unbalanced nodal point forces are applied to a temporarily linear structure whose position dependent stiffness matrix is the tangent stiffness matrix of the structure. The frame members are divided into a number of discrete elements. The member solutions necessary to define the load-displacement response of the members are made separately from the frame solution to reduce computer time and storage requirements.
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