Continuum Modeling of Periodic Truss Structuresby C. T. Sun, Purdue Univ, West Lafayette, IN, USA,
B. J. Kim, Purdue Univ, West Lafayette, IN, USA,
Abstract: Procedures for deriving equivalent stiffnesses for an extended Timoshenko beam used to represent truss beams are presented. A typical substructure of a truss is used to calculate these equivalent properties. Free vibration of asymmetric trusses is studied by using the equivalent Timoshenko beam model, and the solutions are compared with the full-scale finite element solutions. A method is presented for extracting the truss member load from the Timoshenko beam solution. Forced vibration of a symmetric truss is used as an evaluative example. In general, the extended Timoshenko beam model is excellent in predicting natural frequencies, mode shapes, and loads in truss members.
Subject Headings: Trusses | Beams | Structural models | Vibration | Finite element method | Mathematical models | Stiffening | Load factors
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